%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW368+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n018.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 18:19:11 EDT 2024

% Result   : Theorem 80.53s 80.75s
% Output   : Proof 80.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.84/0.88  % Problem    : SWW368+1 : TPTP v8.2.0. Released v5.2.0.
% 0.84/0.89  % Command    : do_cvc5 %s %d
% 0.92/1.09  % Computer : n018.cluster.edu
% 0.92/1.09  % Model    : x86_64 x86_64
% 0.92/1.09  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.92/1.09  % Memory   : 8042.1875MB
% 0.92/1.09  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.92/1.09  % CPULimit   : 300
% 0.92/1.09  % WCLimit    : 300
% 0.92/1.09  % DateTime   : Sun May 26 06:40:09 EDT 2024
% 0.92/1.09  % CPUTime    : 
% 2.55/2.74  %----Proving TF0_NAR, FOF, or CNF
% 80.53/80.75  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 80.53/80.75  --- Run --no-e-matching --full-saturate-quant at 5...
% 80.53/80.75  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 80.53/80.75  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 80.53/80.75  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 80.53/80.75  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 80.53/80.75  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 80.53/80.75  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 80.53/80.75  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 80.53/80.75  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 80.53/80.75  --- Run --relevant-triggers --full-saturate-quant at 5...
% 80.53/80.75  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 80.53/80.75  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 80.53/80.75  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.mDphR0d4Bi/cvc5---1.0.5_24196.smt2
% 80.53/80.75  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.mDphR0d4Bi/cvc5---1.0.5_24196.smt2
% 80.53/80.75  (assume a0 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted)) (=> (forall ((B_x $$unsorted)) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x))) (= V_f_2 V_g_2))))
% 80.53/80.75  (assume a1 (forall ((V_G_2 $$unsorted) (V_ts_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) V_ts_2) V_G_2)) (tptp.v_P V_G_2 V_ts_2))))
% 80.53/80.75  (assume a2 (forall ((V_h_2 $$unsorted) (T_c $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_h_2) V_F_2))))))
% 80.53/80.75  (assume a3 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))))
% 80.53/80.75  (assume a4 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)))))))
% 80.53/80.75  (assume a5 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2))))))
% 80.53/80.75  (assume a6 (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (=> (= V_b_2 (tptp.hAPP V_f_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))))
% 80.53/80.75  (assume a7 (forall ((V_c_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))
% 80.53/80.75  (assume a8 (forall ((V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) V_A_2))) (=> (not (= V_a_2 V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))))))
% 80.53/80.75  (assume a9 (forall ((V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_B_2))) (= V_a_2 V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) V_B_2))))))
% 80.53/80.75  (assume a10 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))
% 80.53/80.75  (assume a11 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2)))))))
% 80.53/80.75  (assume a12 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))) (= V_A_2 V_B_2))))))
% 80.53/80.75  (assume a13 (forall ((V_c_2 $$unsorted) (T_b $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2)))) (not (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))))
% 80.53/80.75  (assume a14 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= V_A_2 V_B_2)))))
% 80.53/80.75  (assume a15 (forall ((V_A_2 $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (= V_a_2 V_b_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))))))
% 80.53/80.75  (assume a16 (forall ((V_A_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (= V_x_2 V_y_2) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2))))))
% 80.53/80.75  (assume a17 (forall ((V_x_2 $$unsorted) (T_b $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2))))))
% 80.53/80.75  (assume a18 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)))))
% 80.53/80.75  (assume a19 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Finite__Set_Ofinite T_b) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.75  (assume a20 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Finite__Set_Ofinite T_b) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.75  (assume a21 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) V_A_2) V_x_2)) (or (= V_y_2 V_x_2) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2))))))
% 80.53/80.75  (assume a22 (forall ((V_A_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)))))
% 80.53/80.75  (assume a23 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2))))
% 80.53/80.75  (assume a24 (forall ((T_b $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))))))))
% 80.53/80.75  (assume a25 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2))))))
% 80.53/80.75  (assume a26 (forall ((T_b $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)))))
% 80.53/80.75  (assume a27 (forall ((T_b $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.75  (assume a28 (forall ((T_b $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (= (= V_A_2 V_B_2) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))))))
% 80.53/80.75  (assume a29 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_A_2))))
% 80.53/80.75  (assume a30 (forall ((V_A_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_d T_c V_g_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_d T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c T_b T_d) V_f_2) V_g_2)) V_A_2))))
% 80.53/80.75  (assume a31 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2) V_A_2))))
% 80.53/80.75  (assume a32 (forall ((V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) V_B_2))))))
% 80.53/80.75  (assume a33 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_B_2)) (= V_A_2 V_B_2))))))
% 80.53/80.75  (assume a34 (forall ((V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) V_A_2))) (or (= V_a_2 V_b_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))))))
% 80.53/80.75  (assume a35 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)))))
% 80.53/80.75  (assume a36 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2))))))
% 80.53/80.75  (assume a37 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2))))))
% 80.53/80.75  (assume a38 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2))))))
% 80.53/80.75  (assume a39 (forall ((T_c $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (= V_b_2 (tptp.hAPP V_f_2 V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)))))))
% 80.53/80.75  (assume a40 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))))))
% 80.53/80.75  (assume a41 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_z_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_z_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (= V_z_2 (tptp.hAPP V_f_2 B_x)))))))
% 80.53/80.75  (assume a42 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.75  (assume a43 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))))))
% 80.53/80.75  (assume a44 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))))))
% 80.53/80.75  (assume a45 (forall ((V_a_2 $$unsorted) (V_D_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_D_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_D_2))))))
% 80.53/80.75  (assume a46 (forall ((V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) V_B_2))))))
% 80.53/80.75  (assume a47 (forall ((V_a_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)))))
% 80.53/80.75  (assume a48 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_B_2)))))
% 80.53/80.75  (assume a49 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2))))))
% 80.53/80.75  (assume a50 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (exists ((B_AA $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) B_AA) V_A_2)) (= V_B_2 (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) B_AA)))))))
% 80.53/80.75  (assume a51 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.75  (assume a52 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.75  (assume a53 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)))))
% 80.53/80.75  (assume a54 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2))))))
% 80.53/80.75  (assume a55 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)))))))
% 80.53/80.75  (assume a56 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.75  (assume a57 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_x)))))
% 80.53/80.75  (assume a58 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_S_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))
% 80.53/80.75  (assume a59 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) V_na_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m_2) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))))
% 80.53/80.75  (assume a60 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.75  (assume a61 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) V_na_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m_2) V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) V_k_2)) (= V_m_2 V_na_2))))))
% 80.53/80.75  (assume a62 (forall ((V_n $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) V_i)) V_i))))
% 80.53/80.75  (assume a63 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_l)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) V_l))))))
% 80.53/80.75  (assume a64 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_l) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_l) V_m))))))
% 80.53/80.75  (assume a65 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_m))))
% 80.53/80.75  (assume a66 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n)) (tptp.hAPP tptp.c_Nat_OSuc V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_k))))
% 80.53/80.75  (assume a67 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x))))))
% 80.53/80.75  (assume a68 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= V_x_2 V_y_2) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_x_2)))))))
% 80.53/80.75  (assume a69 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y))))))
% 80.53/80.75  (assume a70 (forall ((V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_x_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (= V_x_2 V_y_2))))))
% 80.53/80.75  (assume a71 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oord T_a) (=> (= V_a V_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_c)))))))
% 80.53/80.75  (assume a72 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (= V_a V_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_a)))))))
% 80.53/80.75  (assume a73 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oord T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (= V_b V_c) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_c)))))))
% 80.53/80.75  (assume a74 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_a)) (=> (= V_b V_c) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_a)))))))
% 80.53/80.75  (assume a75 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (= V_x V_y))))))
% 80.53/80.75  (assume a76 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_z)))))))
% 80.53/80.75  (assume a77 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (= V_x V_y))))))
% 80.53/80.75  (assume a78 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_z) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_z) V_x)))))))
% 80.53/80.75  (assume a79 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x))))))
% 80.53/80.75  (assume a80 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP tptp.c_fequal V_y_2))) (= V_x_2 V_y_2))))
% 80.53/80.75  (assume a81 (forall ((V_n $$unsorted)) (not (= V_n (tptp.hAPP tptp.c_Nat_OSuc V_n)))))
% 80.53/80.75  (assume a82 (forall ((V_n $$unsorted)) (not (= (tptp.hAPP tptp.c_Nat_OSuc V_n) V_n))))
% 80.53/80.75  (assume a83 (forall ((V_nat_H_2 $$unsorted) (V_nat_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Nat_OSuc V_nat_2) (tptp.hAPP tptp.c_Nat_OSuc V_nat_H_2)) (= V_nat_2 V_nat_H_2))))
% 80.53/80.75  (assume a84 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (= (tptp.hAPP tptp.c_Nat_OSuc V_x) (tptp.hAPP tptp.c_Nat_OSuc V_y)) (= V_x V_y))))
% 80.53/80.75  (assume a85 (forall ((V_Q_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Pa_2) V_Q_2)) (tptp.hBOOL (tptp.hAPP V_Q_2 V_x_2))))))
% 80.53/80.75  (assume a86 (forall ((V_x_2 $$unsorted) (V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Pa_2) V_Q_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (tptp.hBOOL (tptp.hAPP V_Q_2 V_x_2))))))
% 80.53/80.75  (assume a87 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_n))))
% 80.53/80.75  (assume a88 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)))))
% 80.53/80.75  (assume a89 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (= V_m V_n) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a90 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_k))))))
% 80.53/80.75  (assume a91 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= V_m V_n)))))
% 80.53/80.75  (assume a92 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i) V_j)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i) V_k)) V_j))))
% 80.53/80.75  (assume a93 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_S_2)) (= V_R_2 V_S_2))))
% 80.53/80.75  (assume a94 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Oord T_c) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_g_2 B_x))))))))
% 80.53/80.75  (assume a95 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Oord T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2)))))))
% 80.53/80.75  (assume a96 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Oord T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2)))))))
% 80.53/80.75  (assume a97 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_n)) V_n)))))
% 80.53/80.75  (assume a98 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_m_2)))))
% 80.53/80.75  (assume a99 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= V_m_2 (tptp.hAPP tptp.c_Nat_OSuc V_na_2))))))
% 80.53/80.75  (assume a100 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP tptp.c_Nat_OSuc V_m_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2) V_m_2)))))
% 80.53/80.75  (assume a101 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n))))))
% 80.53/80.75  (assume a102 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n))) (= V_m (tptp.hAPP tptp.c_Nat_OSuc V_n))))))
% 80.53/80.75  (assume a103 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a104 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))))
% 80.53/80.75  (assume a105 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_c_2) V_d_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_c_2) V_d_2)))))))
% 80.53/80.75  (assume a106 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP V_F_2 V_A_2))))))))
% 80.53/80.75  (assume a107 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m_2)) V_na_2)) (tptp.hBOOL (tptp.c_Nat_Onat_Onat__case tptp.tc_HOL_Obool tptp.c_fFalse (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a108 (forall ((V_G_2 $$unsorted) (V_c_2 $$unsorted)) (=> (tptp.v_wt V_c_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) B_x) tptp.v_U)) (tptp.v_P V_G_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call B_x)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)))))) (tptp.v_P V_G_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.v_mgt V_c_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool))))))))
% 80.53/80.75  (assume a109 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple__idem T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_B_2)) (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_A_2)))))))
% 80.53/80.75  (assume a110 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple__idem T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP V_F_2 V_A_2)))))))
% 80.53/80.75  (assume a111 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple__idem T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_A_2)))))))
% 80.53/80.75  (assume a112 (forall ((V_Y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_COMBI T_b)) V_Y_2) V_Y_2)))
% 80.53/80.75  (assume a113 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ominus T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c T_b)) V_A_2) V_B_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP V_A_2 V_x_2)) (tptp.hAPP V_B_2 V_x_2))))))
% 80.53/80.75  (assume a114 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2))))))))
% 80.53/80.75  (assume a115 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one__idem T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_A_2)))))))
% 80.53/80.75  (assume a116 (forall ((V_pn_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) V_pn_2) tptp.v_U)) (tptp.v_wt (tptp.c_Option_Othe tptp.tc_Com_Ocom (tptp.c_Com_Obody V_pn_2))))))
% 80.53/80.75  (assume a117 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2)))))))
% 80.53/80.75  (assume a118 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.75  (assume a119 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.75  (assume a120 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a121 (forall ((T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a122 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2))))
% 80.53/80.75  (assume a123 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.75  (assume a124 (forall ((V_G_2 $$unsorted) (V_pn_2 $$unsorted)) (=> (tptp.v_P (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call V_pn_2)) V_G_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.v_mgt (tptp.c_Option_Othe tptp.tc_Com_Ocom (tptp.c_Com_Obody V_pn_2)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)))) (tptp.v_P V_G_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call V_pn_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a125 (forall ((V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Obot T_b) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c T_b)) V_x_2) (tptp.c_Orderings_Obot__class_Obot T_b)))))
% 80.53/80.75  (assume a126 (forall ((V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Obot T_b) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c T_b)) V_x_2) (tptp.c_Orderings_Obot__class_Obot T_b)))))
% 80.53/80.75  (assume a127 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on T_b T_b (tptp.c_COMBI T_b) V_A_2)))
% 80.53/80.75  (assume a128 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_A_2)) (=> (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_f_2 B_xa)) (= B_x B_xa)))))))))
% 80.53/80.75  (assume a129 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.75  (assume a130 (forall ((V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (= (tptp.hAPP V_F_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_z_2))))
% 80.53/80.75  (assume a131 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.75  (assume a132 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))
% 80.53/80.75  (assume a133 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.75  (assume a134 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2)) (= V_x_2 V_y_2)))))))
% 80.53/80.75  (assume a135 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2)) (= (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_y_2)) (= V_x_2 V_y_2)))))))
% 80.53/80.75  (assume a136 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (not (= V_x_2 V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2)) (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_y_2)))))))))
% 80.53/80.75  (assume a137 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a138 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_B_2))))
% 80.53/80.75  (assume a139 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2))))
% 80.53/80.75  (assume a140 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2)))))
% 80.53/80.75  (assume a141 (forall ((V_x_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one__idem T_b V_f_2 V_F_2) (= (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_x_2) V_x_2))))
% 80.53/80.75  (assume a142 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_C_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2))))))))
% 80.53/80.75  (assume a143 (forall ((V_x_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple__idem T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (= (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_x_2) V_x_2))))
% 80.53/80.75  (assume a144 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (and (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))
% 80.53/80.75  (assume a145 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))))))
% 80.53/80.75  (assume a146 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_A_2))))
% 80.53/80.75  (assume a147 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_A_2))))
% 80.53/80.75  (assume a148 (forall ((V_N_2 $$unsorted)) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc V_N_2)))
% 80.53/80.75  (assume a149 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (= (tptp.hAPP V_F_2 V_A_2) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))))))))
% 80.53/80.75  (assume a150 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))
% 80.53/80.75  (assume a151 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)))))
% 80.53/80.75  (assume a152 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2)))))))
% 80.53/80.75  (assume a153 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))))))
% 80.53/80.75  (assume a154 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_A_2)))))
% 80.53/80.75  (assume a155 (forall ((V_B_2 $$unsorted) (V_D_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_D_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_D_2)))))))
% 80.53/80.75  (assume a156 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_A_2))))
% 80.53/80.75  (assume a157 (forall ((V_a_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))))))
% 80.53/80.75  (assume a158 (forall ((V_c_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a159 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2))) (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a160 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a161 (forall ((T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a162 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= V_a_2 V_b_2))))
% 80.53/80.75  (assume a163 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_d_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (or (and (= V_a_2 V_c_2) (= V_b_2 V_d_2)) (and (= V_a_2 V_d_2) (= V_b_2 V_c_2))))))
% 80.53/80.75  (assume a164 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a165 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)))))
% 80.53/80.75  (assume a166 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a167 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a168 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.75  (assume a169 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a170 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one__idem T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_F_2 V_A_2))))))))
% 80.53/80.75  (assume a171 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one__idem T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_B_2)) (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_A_2))))))))
% 80.53/80.75  (assume a172 (forall ((V_B_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_B_2)))))))
% 80.53/80.75  (assume a173 (forall ((V_B_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_B_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.75  (assume a174 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a175 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Obot T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x)))))
% 80.53/80.75  (assume a176 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (=> (tptp.c_Fun_Oinj__on T_c T_b V_f_2 V_A_2) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2))))))
% 80.53/80.75  (assume a177 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)))))
% 80.53/80.75  (assume a178 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))
% 80.53/80.75  (assume a179 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))
% 80.53/80.75  (assume a180 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.75  (assume a181 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.75  (assume a182 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.75  (assume a183 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_B_2))) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.75  (assume a184 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (= V_b_2 V_a_2))))
% 80.53/80.75  (assume a185 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (= V_b_2 V_a_2))))
% 80.53/80.75  (assume a186 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (or (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_A_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.75  (assume a187 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))
% 80.53/80.75  (assume a188 (forall ((V_nat_2 $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nat_Onat_Onat__case T_b V_f1_2 V_f2_2 (tptp.hAPP tptp.c_Nat_OSuc V_nat_2)) (tptp.hAPP V_f2_2 V_nat_2))))
% 80.53/80.75  (assume a189 (forall ((V_c_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (and (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c (tptp.hAPP (tptp.c_COMBK T_c T_b) V_c_2)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c (tptp.hAPP (tptp.c_COMBK T_c T_b) V_c_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_c_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))))
% 80.53/80.75  (assume a190 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_f_2) V_A_2)) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_b T_b V_f_2 V_A_2) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_f_2) V_A_2) V_A_2))))))
% 80.53/80.75  (assume a191 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_f_2) V_A_2))) (tptp.c_Fun_Oinj__on T_b T_b V_f_2 V_A_2)))))
% 80.53/80.75  (assume a192 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2)))))
% 80.53/80.75  (assume a193 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))
% 80.53/80.75  (assume a194 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_c_2) V_d_2)) (= (= V_a_2 V_b_2) (= V_c_2 V_d_2))))))
% 80.53/80.75  (assume a195 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ominus T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c T_b)) V_A_2) V_B_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP V_A_2 V_x_2)) (tptp.hAPP V_B_2 V_x_2))))))
% 80.53/80.75  (assume a196 (forall ((V_c_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c (tptp.hAPP (tptp.c_COMBK T_c T_b) V_c_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_c_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a197 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) V_B_2)) (=> (tptp.c_Fun_Oinj__on T_c T_b V_g_2 V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_g_2) V_B_2)) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2))))))))))
% 80.53/80.75  (assume a198 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2)))))))
% 80.53/80.75  (assume a199 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.75  (assume a200 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (= (exists ((B_f $$unsorted)) (and (tptp.c_Fun_Oinj__on T_b T_c B_f V_A_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c B_f) V_A_2)) V_B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2))))))))
% 80.53/80.75  (assume a201 (forall ((V_A_H_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (exists ((B_f $$unsorted)) (and (tptp.c_Fun_Oinj__on T_b T_c B_f V_A_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c B_f) V_A_2)) V_A_H_2)))) (exists ((B_g $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b B_g) V_A_H_2) V_A_2))))))
% 80.53/80.75  (assume a202 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Set_Othe__elem T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2)))
% 80.53/80.75  (assume a203 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP V_F_2 V_A_2) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_F_2 V_A_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))))
% 80.53/80.75  (assume a204 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_F_2 V_A_2)))))))))
% 80.53/80.75  (assume a205 (forall ((V_B_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2) V_x_2)) V_B_2)))))))
% 80.53/80.75  (assume a206 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a207 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)))))))
% 80.53/80.75  (assume a208 (forall ((V_Pa_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_F_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_a $$unsorted) (B_F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) B_F)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) B_F))) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_F)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_a) B_F)))))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_F_2))))))))
% 80.53/80.75  (assume a209 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one__idem T_b V_f_2 V_F_2) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP V_f_2 B_x) B_y)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.hAPP V_F_2 V_N_2)) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.75  (assume a210 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))))
% 80.53/80.75  (assume a211 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oone T_b) (= (= (tptp.c_Groups_Oone__class_Oone T_b) V_x_2) (= V_x_2 (tptp.c_Groups_Oone__class_Oone T_b))))))
% 80.53/80.75  (assume a212 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.75  (assume a213 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_n))))
% 80.53/80.75  (assume a214 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_n)))
% 80.53/80.75  (assume a215 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2) (tptp.hAPP V_f_2 V_x_2)) V_x_2)))))
% 80.53/80.75  (assume a216 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (= (tptp.hAPP V_f_2 V_x_2) V_y_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2) V_y_2) V_x_2))))))
% 80.53/80.75  (assume a217 (forall ((V_N_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) V_N_2)) (exists ((B_m $$unsorted)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) V_N_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_x) B_m))))))))
% 80.53/80.75  (assume a218 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (tptp.c_Fun_Oinj__on T_c T_b (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)))))
% 80.53/80.75  (assume a219 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) V_A_2))))
% 80.53/80.75  (assume a220 (forall ((V_x_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2))))
% 80.53/80.75  (assume a221 (forall ((V_y_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_y_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2) V_y_2)) V_y_2)))))
% 80.53/80.75  (assume a222 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_B_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))))
% 80.53/80.75  (assume a223 (forall ((V_k_2 $$unsorted) (V_less__eq_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OatMost T_b V_less__eq_2 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq_2 V_i_2) V_k_2)))))
% 80.53/80.75  (assume a224 (forall ((V_k_2 $$unsorted) (V_less__eq_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OatLeast T_b V_less__eq_2 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq_2 V_k_2) V_i_2)))))
% 80.53/80.75  (assume a225 (forall ((V_k_2 $$unsorted) (V_less_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OlessThan T_b V_less_2 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less_2 V_i_2) V_k_2)))))
% 80.53/80.75  (assume a226 (forall ((V_k_2 $$unsorted) (V_less_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OgreaterThan T_b V_less_2 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less_2 V_k_2) V_i_2)))))
% 80.53/80.75  (assume a227 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (V_less__eq_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OatLeastAtMost T_b V_less__eq_2 V_l_2 V_u_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq_2 V_l_2) V_i_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq_2 V_i_2) V_u_2))))))
% 80.53/80.75  (assume a228 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (V_less_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OgreaterThanLessThan T_b V_less_2 V_l_2 V_u_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less_2 V_l_2) V_i_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less_2 V_i_2) V_u_2))))))
% 80.53/80.75  (assume a229 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (V_less_2 $$unsorted) (V_less__eq_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OatLeastLessThan T_b V_less__eq_2 V_less_2 V_l_2 V_u_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq_2 V_l_2) V_i_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less_2 V_i_2) V_u_2))))))
% 80.53/80.75  (assume a230 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (V_less_2 $$unsorted) (V_less__eq_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.c_SetInterval_Oord_OgreaterThanAtMost T_b V_less__eq_2 V_less_2 V_l_2 V_u_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less_2 V_l_2) V_i_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_less__eq_2 V_i_2) V_u_2))))))
% 80.53/80.75  (assume a231 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))
% 80.53/80.75  (assume a232 (forall ((V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP V_f_2 B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_F_2 V_A_2)) V_A_2))))))))
% 80.53/80.75  (assume a233 (forall ((V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_y_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2)) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))))))
% 80.53/80.75  (assume a234 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 (tptp.hAPP V_f_2 V_x_2)) V_f_2)))
% 80.53/80.75  (assume a235 (forall ((V_na_2 $$unsorted) (V_k_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_k_2)) (= V_m_2 V_na_2))))
% 80.53/80.75  (assume a236 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) V_na_2)) (= V_m_2 V_na_2))))
% 80.53/80.75  (assume a237 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_k)))))
% 80.53/80.75  (assume a238 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_x) V_z)))))
% 80.53/80.75  (assume a239 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m))))
% 80.53/80.75  (assume a240 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocancel__semigroup__add T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_a)) (= V_b V_c)))))
% 80.53/80.75  (assume a241 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocancel__ab__semigroup__add T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (= V_b V_c)))))
% 80.53/80.75  (assume a242 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocancel__semigroup__add T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (= V_b V_c)))))
% 80.53/80.75  (assume a243 (forall ((T_b $$unsorted) (T_c $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (=> (= (tptp.hAPP V_f_2 V_x_2) V_y_2) (= (tptp.c_Fun_Ofun__upd T_c T_b V_f_2 V_x_2 V_y_2) V_f_2))))
% 80.53/80.75  (assume a244 (forall ((V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted)) (=> (not (= V_z_2 V_x_2)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2) V_z_2) (tptp.hAPP V_f_2 V_z_2)))))
% 80.53/80.75  (assume a245 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_m_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted)) (=> (not (= V_a_2 V_c_2)) (= (tptp.c_Fun_Ofun__upd T_b T_c (tptp.c_Fun_Ofun__upd T_b T_c V_m_2 V_a_2 V_b_2) V_c_2 V_d_2) (tptp.c_Fun_Ofun__upd T_b T_c (tptp.c_Fun_Ofun__upd T_b T_c V_m_2 V_c_2 V_d_2) V_a_2 V_b_2)))))
% 80.53/80.75  (assume a246 (forall ((V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted)) (and (=> (= V_z_2 V_x_2) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2) V_z_2) V_y_2)) (=> (not (= V_z_2 V_x_2)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2) V_z_2) (tptp.hAPP V_f_2 V_z_2))))))
% 80.53/80.75  (assume a247 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_c T_b V_f_2 V_x_2 V_y_2) V_x_2) V_y_2)))
% 80.53/80.75  (assume a248 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Ofun__upd T_b T_c (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2) V_x_2 V_z_2) (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_z_2))))
% 80.53/80.75  (assume a249 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2) V_f_2) (= (tptp.hAPP V_f_2 V_x_2) V_y_2))))
% 80.53/80.75  (assume a250 (forall ((V_c_2 $$unsorted) (V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocancel__semigroup__add T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_b_2) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_c_2) V_a_2)) (= V_b_2 V_c_2)))))
% 80.53/80.75  (assume a251 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocancel__semigroup__add T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_c_2)) (= V_b_2 V_c_2)))))
% 80.53/80.75  (assume a252 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_c))))))
% 80.53/80.75  (assume a253 (forall ((V_b_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_a_2 $$unsorted) (V_x_2 $$unsorted)) (and (=> (= V_x_2 V_a_2) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_a_2 V_b_2) V_x_2) V_b_2)) (=> (not (= V_x_2 V_a_2)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_a_2 V_b_2) V_x_2) (tptp.hAPP V_f_2 V_x_2))))))
% 80.53/80.75  (assume a254 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b))))))
% 80.53/80.75  (assume a255 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_c))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b))))))
% 80.53/80.75  (assume a256 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_d))))))))
% 80.53/80.75  (assume a257 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_b)))))))
% 80.53/80.75  (assume a258 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_c)))))))
% 80.53/80.75  (assume a259 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_c_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2))))))
% 80.53/80.75  (assume a260 (forall ((V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_b_2) V_c_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2))))))
% 80.53/80.75  (assume a261 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_b) V_a))))
% 80.53/80.75  (assume a262 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b)) V_b) V_a))))
% 80.53/80.75  (assume a263 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n)))))
% 80.53/80.75  (assume a264 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a265 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a266 (forall ((V_n $$unsorted) (V_k $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_k)) V_n)) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_n))))))))
% 80.53/80.75  (assume a267 (forall ((V_n $$unsorted) (V_k $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_k)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a268 (forall ((V_n $$unsorted) (V_k $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_k)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_n)))))
% 80.53/80.75  (assume a269 (forall ((V_l $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_l)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_l)))))))
% 80.53/80.75  (assume a270 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_k))))))
% 80.53/80.75  (assume a271 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_j))))))
% 80.53/80.75  (assume a272 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_m))))))
% 80.53/80.75  (assume a273 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a274 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (exists ((B_k $$unsorted)) (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) B_k))))))
% 80.53/80.75  (assume a275 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m)))))
% 80.53/80.75  (assume a276 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a277 (forall ((V_n $$unsorted) (V_k $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))))
% 80.53/80.75  (assume a278 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))))
% 80.53/80.75  (assume a279 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i) V_j)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_k)))))
% 80.53/80.75  (assume a280 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m)) V_n) V_m)))
% 80.53/80.75  (assume a281 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)) V_n) V_m)))
% 80.53/80.75  (assume a282 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_i)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_k)) V_i)))))
% 80.53/80.75  (assume a283 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_k)) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_i)) V_k)))))
% 80.53/80.75  (assume a284 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_j)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_k))))))
% 80.53/80.75  (assume a285 (forall ((V_k_2 $$unsorted) (V_j_2 $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i_2) V_j_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j_2) V_i_2) V_k_2) (= V_j_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) V_i_2))))))
% 80.53/80.75  (assume a286 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_n) V_m))))
% 80.53/80.75  (assume a287 (forall ((V_i_2 $$unsorted) (V_j_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) V_j_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j_2) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) V_k_2)) V_j_2))))))
% 80.53/80.75  (assume a288 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_j)) V_k)))))
% 80.53/80.75  (assume a289 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_m))))
% 80.53/80.75  (assume a290 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m)) V_k))))))
% 80.53/80.75  (assume a291 (forall ((V_i_2 $$unsorted) (V_k_2 $$unsorted) (V_j_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j_2) V_k_2)) V_i_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) V_k_2))))))
% 80.53/80.75  (assume a292 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_k)) V_j)))))
% 80.53/80.75  (assume a293 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Nat_OSuc V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_n))))
% 80.53/80.75  (assume a294 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Nat_OSuc V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a295 (forall ((V_N_2 $$unsorted) (V_k_2 $$unsorted)) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) V_k_2) V_N_2)))
% 80.53/80.75  (assume a296 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_k))) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k) V_m))))))
% 80.53/80.75  (assume a297 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_k))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_k)) (tptp.hAPP tptp.c_Nat_OSuc V_j))))))
% 80.53/80.75  (assume a298 (forall ((V_x_2 $$unsorted) (V_y_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_y_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)))) (tptp.c_Fun_Oinj__on T_b T_c (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_x_2 V_y_2) V_A_2)))))
% 80.53/80.75  (assume a299 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)))))))
% 80.53/80.75  (assume a300 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))
% 80.53/80.75  (assume a301 (forall ((V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_x) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) V_z))))))
% 80.53/80.75  (assume a302 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) V_z))))))
% 80.53/80.75  (assume a303 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))))
% 80.53/80.75  (assume a304 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)))))))
% 80.53/80.75  (assume a305 (forall ((V_Pa_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_A_2)) (=> (forall ((B_a $$unsorted) (B_A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) B_A)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) B_A)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_A)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_A) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))
% 80.53/80.75  (assume a306 (forall ((V_X_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Set_Othe__elem T_b V_X_2) (tptp.c_HOL_OThe T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.hAPP tptp.c_fequal V_X_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.75  (assume a307 (forall ((T_b $$unsorted)) (tptp.c_Finite__Set_Ofun__left__comm__idem T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a308 (forall ((V_k_2 $$unsorted) (V_N_2 $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) V_N_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) B_x)))) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) V_k_2) V_N_2))))
% 80.53/80.75  (assume a309 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_sum T_b T_c)) (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2)))))))
% 80.53/80.75  (assume a310 (forall ((V_B_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_B_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))))
% 80.53/80.75  (assume a311 (forall ((V_Pa_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) B_F)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) B_F))) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_F)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) B_F))))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_F_2)))))))
% 80.53/80.75  (assume a312 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP tptp.c_Nat_OSuc V_n)))))
% 80.53/80.75  (assume a313 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP tptp.c_Nat_OSuc V_n))))))
% 80.53/80.75  (assume a314 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2))))))
% 80.53/80.75  (assume a315 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) V_n)))))
% 80.53/80.75  (assume a316 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_x))))))
% 80.53/80.75  (assume a317 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (not (= V_m_2 V_na_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) V_m_2))))))
% 80.53/80.75  (assume a318 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (not (= V_x_2 V_y_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_y_2) V_x_2)))))))
% 80.53/80.75  (assume a319 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_y_2) V_x_2)) (= V_x_2 V_y_2))))))
% 80.53/80.75  (assume a320 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x))))))
% 80.53/80.75  (assume a321 (forall ((V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_y_2) V_x_2))) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2))) (= V_x_2 V_y_2))))))
% 80.53/80.75  (assume a322 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (not (= V_x V_y)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)))))))
% 80.53/80.75  (assume a323 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (not (= V_x V_y)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_y) V_x))))))
% 80.53/80.75  (assume a324 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) V_n)))))
% 80.53/80.75  (assume a325 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) V_m)) (not (= V_m V_n)))))
% 80.53/80.75  (assume a326 (forall ((V_t $$unsorted) (V_s $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_s) V_t)) (not (= V_s V_t)))))
% 80.53/80.75  (assume a327 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (not (= V_x V_y))))))
% 80.53/80.75  (assume a328 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)))))))
% 80.53/80.75  (assume a329 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)))))))
% 80.53/80.75  (assume a330 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (not (= V_x V_y))))))
% 80.53/80.75  (assume a331 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (not (= V_y V_x))))))
% 80.53/80.75  (assume a332 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)))))))
% 80.53/80.75  (assume a333 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a334 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oord T_a) (=> (= V_a V_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_c)))))))
% 80.53/80.75  (assume a335 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (= V_a V_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_a)))))))
% 80.53/80.75  (assume a336 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oord T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (= V_b V_c) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_c)))))))
% 80.53/80.75  (assume a337 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)) (=> (= V_b V_c) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_a)))))))
% 80.53/80.75  (assume a338 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_z)))))))
% 80.53/80.75  (assume a339 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_z) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_z) V_x)))))))
% 80.53/80.75  (assume a340 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)))))))
% 80.53/80.75  (assume a341 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y))) (=> (not (= V_x V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)))))))
% 80.53/80.75  (assume a342 (forall ((V_Pa_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_na_2) V_m_2))) (=> (=> (= V_m_2 V_na_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_na_2) V_m_2))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_na_2) V_m_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_na_2) V_m_2)))))))
% 80.53/80.75  (assume a343 (forall ((V_z_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_c V_f_2) (= (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_z_2)))))
% 80.53/80.75  (assume a344 (forall ((V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) V_z))))))
% 80.53/80.75  (assume a345 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) V_z))))))
% 80.53/80.75  (assume a346 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_x) V_y)))))
% 80.53/80.75  (assume a347 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2)))))))
% 80.53/80.75  (assume a348 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_c V_f_2) (tptp.c_Finite__Set_Ofun__left__comm__idem T_d T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c T_c) T_d) V_f_2) V_g_2)))))
% 80.53/80.75  (assume a349 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Oord T_c) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b T_c)) V_g_2) V_f_2))))))))
% 80.53/80.75  (assume a350 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_x_2))))))
% 80.53/80.75  (assume a351 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_y_2) V_x_2))))))
% 80.53/80.75  (assume a352 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x))))))
% 80.53/80.75  (assume a353 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (not (= V_x_2 V_y_2)))))))
% 80.53/80.75  (assume a354 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_x_2))))))))
% 80.53/80.75  (assume a355 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2)) (= V_x_2 V_y_2))))))
% 80.53/80.75  (assume a356 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x))))))
% 80.53/80.75  (assume a357 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y))))))
% 80.53/80.75  (assume a358 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (= V_x_2 V_y_2))))))
% 80.53/80.75  (assume a359 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (not (= V_a V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a360 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (not (= V_a V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)))))))
% 80.53/80.75  (assume a361 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)))))))
% 80.53/80.75  (assume a362 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y))))))
% 80.53/80.75  (assume a363 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_y_2))) (= V_x_2 V_y_2))))))
% 80.53/80.75  (assume a364 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (= V_x V_y))))))
% 80.53/80.75  (assume a365 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (not (= V_a V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a366 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_a)) (=> (not (= V_a V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)))))))
% 80.53/80.75  (assume a367 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_z)))))))
% 80.53/80.75  (assume a368 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_z) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_z) V_x)))))))
% 80.53/80.75  (assume a369 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_z)))))))
% 80.53/80.75  (assume a370 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_z) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_z) V_x)))))))
% 80.53/80.75  (assume a371 (forall ((V_c_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))
% 80.53/80.75  (assume a372 (forall ((V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_b_2) V_c_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2))))))
% 80.53/80.75  (assume a373 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_c_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2))))))
% 80.53/80.75  (assume a374 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__cancel__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_c)))))))
% 80.53/80.75  (assume a375 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__cancel__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_b)))))))
% 80.53/80.75  (assume a376 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__cancel__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_d))))))))
% 80.53/80.75  (assume a377 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_c))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b))))))
% 80.53/80.75  (assume a378 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b))))))
% 80.53/80.75  (assume a379 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a380 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_c_2) V_d_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) V_d_2)))))))
% 80.53/80.75  (assume a381 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (not (= V_A_2 V_B_2))))))
% 80.53/80.75  (assume a382 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (= V_A_2 V_B_2)))))
% 80.53/80.75  (assume a383 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.75  (assume a384 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2))))))
% 80.53/80.75  (assume a385 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2))))))
% 80.53/80.75  (assume a386 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc V_m_2))))))
% 80.53/80.75  (assume a387 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= V_m_2 V_na_2)))))
% 80.53/80.75  (assume a388 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m_2)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a389 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) V_m_2))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc V_m_2))) (= V_na_2 V_m_2)))))
% 80.53/80.75  (assume a390 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) V_m))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP tptp.c_Nat_OSuc V_m))) (= V_m V_n)))))
% 80.53/80.75  (assume a391 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n))))))
% 80.53/80.75  (assume a392 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (=> (not (= (tptp.hAPP tptp.c_Nat_OSuc V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n))))))
% 80.53/80.75  (assume a393 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_i)) V_k))))))
% 80.53/80.75  (assume a394 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))) (= V_m V_n)))))
% 80.53/80.75  (assume a395 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a396 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP tptp.c_Nat_OSuc V_n))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a397 (forall ((V_j $$unsorted) (V_i $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_j)) V_i)))))
% 80.53/80.75  (assume a398 (forall ((V_i $$unsorted) (V_j $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_i)) V_i)))))
% 80.53/80.75  (assume a399 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a400 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_m))))))
% 80.53/80.75  (assume a401 (forall ((V_m $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_j))))))
% 80.53/80.75  (assume a402 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_k))))))
% 80.53/80.75  (assume a403 (forall ((V_l $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_k) V_l)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_l)))))))
% 80.53/80.75  (assume a404 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_l $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_k) V_l)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.75  (assume a405 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_j)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_k)))))
% 80.53/80.75  (assume a406 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (not (= V_m_2 V_na_2))))))
% 80.53/80.75  (assume a407 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= V_m_2 V_na_2)))))
% 80.53/80.75  (assume a408 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a409 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (=> (not (= V_m V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.75  (assume a410 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (= V_m V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a411 (forall ((V_n $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_n)) V_k)))))
% 80.53/80.75  (assume a412 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_l)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_l) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_l) V_m)))))))
% 80.53/80.75  (assume a413 (forall ((V_N_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) V_N_2)) (exists ((B_m $$unsorted)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) V_N_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_x) B_m))))))))
% 80.53/80.75  (assume a414 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.75  (assume a415 (forall ((T_b $$unsorted)) (tptp.c_Finite__Set_Ofun__left__comm__idem T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Set_Oinsert T_b))))
% 80.53/80.75  (assume a416 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_sum T_b T_c)) (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2))))))
% 80.53/80.75  (assume a417 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_sum T_b T_c)) (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2)))))))
% 80.53/80.75  (assume a418 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_sum T_b T_c)) (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.75  (assume a419 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_sum T_b T_c)) (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)))))
% 80.53/80.75  (assume a420 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__cancel__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_d))))))))
% 80.53/80.75  (assume a421 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__cancel__ab__semigroup__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_d))))))))
% 80.53/80.75  (assume a422 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (exists ((B_k $$unsorted)) (= V_na_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) B_k)))))))
% 80.53/80.75  (assume a423 (forall ((V_m $$unsorted) (V_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_i))))))
% 80.53/80.75  (assume a424 (forall ((V_m $$unsorted) (V_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_m))))))
% 80.53/80.75  (assume a425 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2)))))))
% 80.53/80.75  (assume a426 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_m_2)))))
% 80.53/80.75  (assume a427 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a428 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m_2)) V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a429 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n))))))
% 80.53/80.75  (assume a430 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n)))))
% 80.53/80.75  (assume a431 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc V_m_2))) (= V_na_2 V_m_2)))))
% 80.53/80.75  (assume a432 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a433 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP tptp.c_Nat_OSuc V_m)))))
% 80.53/80.75  (assume a434 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_m))))
% 80.53/80.75  (assume a435 (forall ((V_k_2 $$unsorted) (V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j_2) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) V_k_2)) V_j_2)))))
% 80.53/80.75  (assume a436 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_c) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_b) V_c)))))))
% 80.53/80.75  (assume a437 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k_2) V_na_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m_2) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))))
% 80.53/80.75  (assume a438 (forall ((V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)))))
% 80.53/80.75  (assume a439 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_A_2))) (not (tptp.c_Fun_Oinj__on T_c T_b V_f_2 V_A_2)))))
% 80.53/80.75  (assume a440 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2) V_x_2) (tptp.c_HOL_OThe T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2)) V_x_2))))))
% 80.53/80.75  (assume a441 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a)))))))
% 80.53/80.75  (assume a442 (forall ((V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (= (tptp.c_Partial__Function_Oflat__lub T_b V_b_2 V_A_2) V_b_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (= (tptp.c_Partial__Function_Oflat__lub T_b V_b_2 V_A_2) (tptp.c_HOL_OThe T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))
% 80.53/80.75  (assume a443 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_sum T_b T_c) tptp.tc_HOL_Obool))) (and (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a444 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (and (=> (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_sum T_b T_c)) (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2)))) (=> (not (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_sum T_b T_c)) (tptp.c_Sum__Type_OPlus T_b T_c V_A_2 V_B_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a445 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_HOL_OThe T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2)) V_a_2)))
% 80.53/80.75  (assume a446 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_HOL_OThe T_b (tptp.hAPP tptp.c_fequal V_x_2)) V_x_2)))
% 80.53/80.75  (assume a447 (forall ((V_y_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.c_Nitpick_Ofold__graph_H T_b T_c V_f_2 V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_y_2) (tptp.c_Nitpick_Ofold__graph_H T_b T_c V_f_2 V_z_2 V_A_2 (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_y_2))))))
% 80.53/80.75  (assume a448 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_y_2)))))))
% 80.53/80.75  (assume a449 (forall ((V_n $$unsorted) (V_m $$unsorted)) (and (=> (= V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n) V_n)) (=> (not (= V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_n)))))))
% 80.53/80.75  (assume a450 (forall ((V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (= V_n (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a451 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a452 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n))))
% 80.53/80.75  (assume a453 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP tptp.c_Nat_OSuc V_n)))))
% 80.53/80.75  (assume a454 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.75  (assume a455 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ozero T_b) (= (= (tptp.c_Groups_Ozero__class_Ozero T_b) V_x_2) (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a456 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Ozero__neq__one T_a) (not (= (tptp.c_Groups_Oone__class_Oone T_a) (tptp.c_Groups_Ozero__class_Ozero T_a))))))
% 80.53/80.75  (assume a457 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Ozero__neq__one T_a) (not (= (tptp.c_Groups_Ozero__class_Ozero T_a) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.75  (assume a458 (forall ((V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.c_Nitpick_Ofold__graph_H T_b T_c V_a1_2 V_a2_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_a2_2)))
% 80.53/80.75  (assume a459 (forall ((V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.c_Nitpick_Ofold__graph_H T_b T_c V_f_2 V_z_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_z_2)))
% 80.53/80.75  (assume a460 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a))))
% 80.53/80.75  (assume a461 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a))))
% 80.53/80.75  (assume a462 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (= (tptp.c_Groups_Ozero__class_Ozero T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a463 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) V_a))))
% 80.53/80.75  (assume a464 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) V_a))))
% 80.53/80.75  (assume a465 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 V_b_2)))))
% 80.53/80.75  (assume a466 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (= (= V_a_2 V_b_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a467 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a468 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a))))
% 80.53/80.75  (assume a469 (forall ((V_m $$unsorted)) (not (= (tptp.hAPP tptp.c_Nat_OSuc V_m) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a470 (forall ((V_m $$unsorted)) (not (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)))))
% 80.53/80.75  (assume a471 (forall ((V_nat_H_1 $$unsorted)) (not (= (tptp.hAPP tptp.c_Nat_OSuc V_nat_H_1) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a472 (forall ((V_m $$unsorted)) (not (= (tptp.hAPP tptp.c_Nat_OSuc V_m) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a473 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_nat_H)))))
% 80.53/80.75  (assume a474 (forall ((V_m $$unsorted)) (not (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)))))
% 80.53/80.75  (assume a475 (forall ((V_n $$unsorted)) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)))))
% 80.53/80.75  (assume a476 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a477 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a478 (forall ((V_na_2 $$unsorted)) (= (not (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2)))))
% 80.53/80.75  (assume a479 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a480 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n) V_m) (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a481 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_na_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (and (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a482 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)))
% 80.53/80.75  (assume a483 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n) V_n)))
% 80.53/80.75  (assume a484 (forall ((V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a485 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n))))
% 80.53/80.75  (assume a486 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) V_m) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_m V_n)))))
% 80.53/80.75  (assume a487 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_m) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a488 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)))
% 80.53/80.75  (assume a489 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a490 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c))))))))
% 80.53/80.75  (assume a491 (forall ((V_x_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_x_2)) (= V_x_2 V_z_2))))
% 80.53/80.75  (assume a492 (forall ((V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_z_2))))
% 80.53/80.75  (assume a493 (forall ((V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_z_2))))
% 80.53/80.75  (assume a494 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.75  (assume a495 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.75  (assume a496 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a497 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a498 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.75  (assume a499 (forall ((V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nat_Onat_Onat__case T_b V_f1_2 V_f2_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_f1_2)))
% 80.53/80.75  (assume a500 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Oone__class_Oone T_a)))))))
% 80.53/80.75  (assume a501 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.75  (assume a502 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a503 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a504 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_y_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_x_2) V_y_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (and (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))
% 80.53/80.75  (assume a505 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c))))))))
% 80.53/80.75  (assume a506 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c))))))))
% 80.53/80.75  (assume a507 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a508 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a509 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a510 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a511 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.75  (assume a512 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a513 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a514 (forall ((V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2)) (exists ((B_m $$unsorted)) (= V_na_2 (tptp.hAPP tptp.c_Nat_OSuc B_m))))))
% 80.53/80.75  (assume a515 (forall ((V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a516 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (or (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (exists ((B_j $$unsorted)) (and (= V_m_2 (tptp.hAPP tptp.c_Nat_OSuc B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_j) V_na_2))))))))
% 80.53/80.75  (assume a517 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_na_2)) (or (and (= V_m_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (and (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_na_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))))
% 80.53/80.75  (assume a518 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (or (and (= V_m_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (and (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_na_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))))
% 80.53/80.75  (assume a519 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_na_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2))))))
% 80.53/80.75  (assume a520 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a521 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a522 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) V_m_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a523 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_m))))))
% 80.53/80.75  (assume a524 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a525 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a526 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m_2) V_na_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a527 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a528 (forall ((V_y_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_y_2)))))))
% 80.53/80.75  (assume a529 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.c_COMBI tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a530 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a531 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a532 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c))))))))
% 80.53/80.75  (assume a533 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c))))))))
% 80.53/80.75  (assume a534 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a535 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a536 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (not (= V_x V_y)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_x)))))))
% 80.53/80.75  (assume a537 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (or (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))))
% 80.53/80.75  (assume a538 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.75  (assume a539 (forall ((V_i $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP tptp.c_Nat_OSuc V_i))) V_n)))))
% 80.53/80.75  (assume a540 (forall ((V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) V_n))))
% 80.53/80.75  (assume a541 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_a_2) V_b_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (forall ((B_d $$unsorted)) (=> (= V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_b_2) B_d)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_d))))))))
% 80.53/80.75  (assume a542 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_a_2) V_b_2))) (not (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_a_2) V_b_2)) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))) (exists ((B_d $$unsorted)) (and (= V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_b_2) B_d)) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_d))))))))))
% 80.53/80.75  (assume a543 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))) (and (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))))))
% 80.53/80.75  (assume a544 (forall ((V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_n))))
% 80.53/80.75  (assume a545 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a546 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_b V_f_2 V_a_2 V_A_2) V_x_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) V_x_2))))))
% 80.53/80.75  (assume a547 (forall ((V_k_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (exists ((B_b $$unsorted) (B_B $$unsorted)) (and (= V_A_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_b) B_B)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_b) B_B))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) B_B) V_k_2) (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= B_B (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))
% 80.53/80.75  (assume a548 (forall ((V_a5_2 $$unsorted) (V_a1_2 $$unsorted) (V_a2_2 $$unsorted) (V_a4_2 $$unsorted) (V_a3_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Ofold__graph_H T_b T_c V_a3_2 V_a4_2 V_a2_2 (tptp.hAPP (tptp.hAPP V_a3_2 V_a1_2) V_a5_2)) (or (and (= V_a2_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP V_a3_2 V_a1_2) V_a5_2) V_a4_2)) (exists ((B_x $$unsorted) (B_y $$unsorted)) (and (= (tptp.hAPP (tptp.hAPP V_a3_2 V_a1_2) V_a5_2) (tptp.hAPP (tptp.hAPP V_a3_2 B_x) B_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_a2_2)) (tptp.c_Nitpick_Ofold__graph_H T_b T_c V_a3_2 V_a4_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_a2_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) B_y)))))))
% 80.53/80.75  (assume a549 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) V_a))))
% 80.53/80.75  (assume a550 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a))))
% 80.53/80.75  (assume a551 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct T_b) (= (= V_b_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_b_2) V_a_2)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a552 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a553 (forall ((V_na_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_na_2)) (exists ((B_k $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_k) V_na_2)) (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_i) B_k)) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_i))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) B_k) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))))))
% 80.53/80.75  (assume a554 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat T_b (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat T_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_A_2)))))
% 80.53/80.75  (assume a555 (forall ((V_z_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_b T_c V_f_2) V_g_2) V_z_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_z_2)))
% 80.53/80.75  (assume a556 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set T_b V_f_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_x_2)))))
% 80.53/80.75  (assume a557 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set T_b V_f_2 V_A_2) V_x_2)) (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.75  (assume a558 (forall ((V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (= (tptp.hAPP V_F_2 V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_b T_c V_f_2) V_g_2) V_z_2) V_A_2))))))
% 80.53/80.75  (assume a559 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_d))))))
% 80.53/80.75  (assume a560 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) V_b)))))
% 80.53/80.75  (assume a561 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_c))))))
% 80.53/80.75  (assume a562 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)) V_d)))))
% 80.53/80.75  (assume a563 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_d))))))
% 80.53/80.75  (assume a564 (forall ((V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_a)))))
% 80.53/80.75  (assume a565 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_b_2)) (= V_a_2 V_b_2))))
% 80.53/80.75  (assume a566 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image tptp.tc_Nat_Onat T_b (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat T_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a567 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.c_Groups_Oone__class_Oone T_b)) V_a_2)) V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.75  (assume a568 (forall ((V_a3_2 $$unsorted) (V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a1_2) V_a2_2)) V_a3_2)) (exists ((B_a $$unsorted) (B_A $$unsorted)) (and (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a1_2) V_a2_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_a) B_A)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_b V_f_2 B_a B_A) V_a3_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) B_A))))))))
% 80.53/80.75  (assume a569 (forall ((V_x_2 $$unsorted) (V_X_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_X_2)) V_x_2)) (not (forall ((B_a $$unsorted) (B_A $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_a) B_A)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_b V_f_2 B_a B_A) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) B_A)))))))))
% 80.53/80.75  (assume a570 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Oring__char__0 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.c_Groups_Oone__class_Oone T_b)) V_a_2)) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a571 (forall ((V_a_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2 V_A_2) V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) V_x_2))))))))
% 80.53/80.75  (assume a572 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (=> (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2))) (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a573 (forall ((V_v $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v))) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a574 (forall ((V_v $$unsorted) (V_u $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__1__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_u)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_v)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_u) V_v) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_u) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_v) V_y))) V_a))))))))))
% 80.53/80.75  (assume a575 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_fb_2 $$unsorted) (V_fa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Opair__box_Opair__box__size T_b T_c V_fa_2 V_fb_2 (tptp.c_Nitpick_Opair__box_OPairBox T_b T_c V_a_2 V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP V_fa_2 V_a_2)) (tptp.hAPP V_fb_2 V_b_2))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a576 (forall ((V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Int_Oring__1__class_OInts T_b))))))
% 80.53/80.75  (assume a577 (forall ((V_ry $$unsorted) (V_rx $$unsorted) (V_ly $$unsorted) (V_lx $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_rx)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_ly) V_ry))))))
% 80.53/80.75  (assume a578 (forall ((V_ry $$unsorted) (V_rx $$unsorted) (V_ly $$unsorted) (V_lx $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_ly)) V_ry))))))
% 80.53/80.75  (assume a579 (forall ((V_ry $$unsorted) (V_rx $$unsorted) (V_ly $$unsorted) (V_lx $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_ly)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_ly) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) V_ry)))))))
% 80.53/80.75  (assume a580 (forall ((V_rx $$unsorted) (V_ly $$unsorted) (V_lx $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_rx)) V_ly)))))
% 80.53/80.75  (assume a581 (forall ((V_rx $$unsorted) (V_ly $$unsorted) (V_lx $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_ly)) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_ly) V_rx))))))
% 80.53/80.75  (assume a582 (forall ((V_z $$unsorted) (V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_v) V_w))) V_z)))))
% 80.53/80.75  (assume a583 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Int_Oring__char__0 T_b)) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.75  (assume a584 (forall ((V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_v) V_w))))))
% 80.53/80.75  (assume a585 (forall ((V_x_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber T_b) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) V_x_2) (= V_x_2 (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))))))
% 80.53/80.75  (assume a586 (forall ((V_ry $$unsorted) (V_rx $$unsorted) (V_lx $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_rx)) V_ry)))))
% 80.53/80.75  (assume a587 (forall ((V_ry $$unsorted) (V_rx $$unsorted) (V_lx $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) V_ry)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_rx) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_lx) V_ry))))))
% 80.53/80.75  (assume a588 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_a)))))
% 80.53/80.75  (assume a589 (forall ((V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_v) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))))))
% 80.53/80.75  (assume a590 (forall ((V_v $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber T_b) (tptp.class_Rings_Oring T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a) V_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)))))))
% 80.53/80.75  (assume a591 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_v $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber T_b) (tptp.class_Rings_Oring T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) V_c))))))
% 80.53/80.75  (assume a592 (forall ((V_v $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber T_b) (tptp.class_Rings_Osemiring T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a) V_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)))))))
% 80.53/80.75  (assume a593 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_v $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber T_b) (tptp.class_Rings_Osemiring T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) V_c))))))
% 80.53/80.75  (assume a594 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))))))
% 80.53/80.75  (assume a595 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)))))
% 80.53/80.75  (assume a596 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_x) V_x))))
% 80.53/80.75  (assume a597 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_a) V_a))))
% 80.53/80.75  (assume a598 (forall ((V_b_H_2 $$unsorted) (V_a_H_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Nitpick_Opair__box_OPairBox T_b T_c V_a_2 V_b_2) (tptp.c_Nitpick_Opair__box_OPairBox T_b T_c V_a_H_2 V_b_H_2)) (and (= V_a_2 V_a_H_2) (= V_b_2 V_b_H_2)))))
% 80.53/80.75  (assume a599 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_b_2)) (tptp.c_Int_Oring__1__class_OInts T_b))))))))
% 80.53/80.75  (assume a600 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_x_2) V_y_2))))))
% 80.53/80.75  (assume a601 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_x_2) V_y_2))))))
% 80.53/80.75  (assume a602 (forall ((V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))))))
% 80.53/80.75  (assume a603 (forall ((V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) V_w))))))
% 80.53/80.75  (assume a604 (forall ((V_z $$unsorted) (V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) V_w))) V_z)))))
% 80.53/80.75  (assume a605 (forall ((V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_v) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))))))
% 80.53/80.75  (assume a606 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Omult__zero T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a607 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Omult__zero T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a608 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__no__zero__divisors T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (or (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_b_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a609 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ono__zero__divisors T_a) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a610 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ono__zero__divisors T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a)) (or (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a)) (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a611 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a612 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a613 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))))))
% 80.53/80.75  (assume a614 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_e $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_e)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_e)) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_e)) V_c)))))
% 80.53/80.75  (assume a615 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_z))))))
% 80.53/80.75  (assume a616 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct T_b) (= (and (not (= V_a_2 V_b_2)) (not (= V_c_2 V_d_2))) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_d_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_d_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_c_2))))))))
% 80.53/80.75  (assume a617 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))))))
% 80.53/80.75  (assume a618 (forall ((V_b $$unsorted) (V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_m)))))
% 80.53/80.75  (assume a619 (forall ((V_z_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_w_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_w_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) V_y_2))) (or (= V_w_2 V_x_2) (= V_y_2 V_z_2))))))
% 80.53/80.75  (assume a620 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a))))
% 80.53/80.75  (assume a621 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a))))
% 80.53/80.75  (assume a622 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a) V_a))))
% 80.53/80.75  (assume a623 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a) V_a))))
% 80.53/80.75  (assume a624 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a) V_a))))
% 80.53/80.75  (assume a625 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a))))
% 80.53/80.75  (assume a626 (forall ((V_na_2 $$unsorted) (V_k_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) V_k_2)) (or (= V_m_2 V_na_2) (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a627 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2)) (or (= V_m_2 V_na_2) (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a628 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (or (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a629 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a630 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a631 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) V_na_2)) (= V_m_2 V_na_2))))
% 80.53/80.75  (assume a632 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_k)))))
% 80.53/80.75  (assume a633 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)))))
% 80.53/80.75  (assume a634 (forall ((V_l $$unsorted) (V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_l)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j) V_l)))))))
% 80.53/80.75  (assume a635 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_j))))))
% 80.53/80.75  (assume a636 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j) V_k))))))
% 80.53/80.75  (assume a637 (forall ((V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_m))))))
% 80.53/80.75  (assume a638 (forall ((V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_m)))))
% 80.53/80.75  (assume a639 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_k)))))
% 80.53/80.75  (assume a640 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)))))
% 80.53/80.75  (assume a641 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (and (= V_m_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (= V_na_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a642 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_n)))
% 80.53/80.75  (assume a643 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2)) (and (= V_m_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (= V_na_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a644 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_n) V_n)))
% 80.53/80.75  (assume a645 (forall ((T_b $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_b) (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b)))))
% 80.53/80.75  (assume a646 (forall ((V_w_2 $$unsorted) (V_v_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber T_b) (tptp.class_Orderings_Olinorder T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2))))))))
% 80.53/80.75  (assume a647 (forall ((V_c $$unsorted) (V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) V_w))) V_c)))))
% 80.53/80.75  (assume a648 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__cancel__semiring T_a) (=> (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a649 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_a) (=> (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a650 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_d)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_d))))))))))
% 80.53/80.75  (assume a651 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_d)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_d))))))))))
% 80.53/80.75  (assume a652 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))))))))
% 80.53/80.75  (assume a653 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))))))))
% 80.53/80.75  (assume a654 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__comm__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))))))))
% 80.53/80.75  (assume a655 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))))))))
% 80.53/80.75  (assume a656 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))))))))
% 80.53/80.75  (assume a657 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a658 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__cancel__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a659 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__cancel__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_a)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a660 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__cancel__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a661 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__cancel__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a662 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_b_2))))))))
% 80.53/80.75  (assume a663 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_b_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))
% 80.53/80.75  (assume a664 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_a))))))
% 80.53/80.75  (assume a665 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))))))))
% 80.53/80.75  (assume a666 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))))))))
% 80.53/80.75  (assume a667 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__comm__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))))))))
% 80.53/80.75  (assume a668 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))))))))
% 80.53/80.75  (assume a669 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))))))))
% 80.53/80.75  (assume a670 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a671 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a672 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) V_a_2)))))))
% 80.53/80.75  (assume a673 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)))))))
% 80.53/80.75  (assume a674 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)))))))
% 80.53/80.75  (assume a675 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_a)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a676 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.75  (assume a677 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a678 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)))))))
% 80.53/80.75  (assume a679 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_b_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) V_a_2))))))))
% 80.53/80.75  (assume a680 (forall ((V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_c_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) V_a_2))))))))
% 80.53/80.75  (assume a681 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a682 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_y_2) V_y_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)) (and (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a683 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct T_a) (=> (not (= V_r (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (and (= V_a V_b) (not (= V_c V_d))) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_r) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_r) V_d)))))))))
% 80.53/80.75  (assume a684 (forall ((V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_m) V_n))))))))
% 80.53/80.75  (assume a685 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_e_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_e_2)) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_e_2)) V_d_2)) (= V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_b_2) V_a_2)) V_e_2)) V_d_2))))))
% 80.53/80.75  (assume a686 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_e_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_e_2)) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_e_2)) V_d_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2)) V_e_2)) V_c_2) V_d_2)))))
% 80.53/80.75  (assume a687 (forall ((V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_m)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))) V_m)))))
% 80.53/80.75  (assume a688 (forall ((V_a $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))) V_m)))))
% 80.53/80.75  (assume a689 (forall ((V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_m) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Oone__class_Oone T_a))) V_m)))))
% 80.53/80.75  (assume a690 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (and (= V_m_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= V_na_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a691 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_j)))))))
% 80.53/80.75  (assume a692 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j) V_k)))))))
% 80.53/80.75  (assume a693 (forall ((V_na_2 $$unsorted) (V_k_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) V_k_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a694 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a695 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2))))))
% 80.53/80.75  (assume a696 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a697 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a698 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a699 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a700 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (= V_m (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)) (or (= V_n (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (= V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a701 (forall ((T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.c_Int_Oring__1__class_OInts T_b))))))
% 80.53/80.75  (assume a702 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_b_2)) (tptp.c_Int_Oring__1__class_OInts T_b))))))))
% 80.53/80.75  (assume a703 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2)) (tptp.c_Int_Oring__1__class_OInts T_b))))))))
% 80.53/80.75  (assume a704 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a705 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a706 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a707 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a708 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a709 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a710 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_d)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_d))))))))))
% 80.53/80.75  (assume a711 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) V_d)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_d))))))))))
% 80.53/80.75  (assume a712 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_d)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_d))))))))))
% 80.53/80.75  (assume a713 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__strict T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) V_d)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_d))))))))))
% 80.53/80.75  (assume a714 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) V_a_2)))))))
% 80.53/80.75  (assume a715 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2)))))))
% 80.53/80.75  (assume a716 (forall ((T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.c_Int_Oring__1__class_OInts T_b))))))
% 80.53/80.75  (assume a717 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_y_2) V_y_2))) (tptp.c_Groups_Ozero__class_Ozero T_b))) (and (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a718 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_y)))))))
% 80.53/80.75  (assume a719 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_y))) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a720 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__ring__strict T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_y_2) V_y_2)))) (or (not (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (not (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.75  (assume a721 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_x)) V_x))))))))
% 80.53/80.75  (assume a722 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_y)) V_x))))))))
% 80.53/80.75  (assume a723 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_e_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_e_2)) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_e_2)) V_d_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2)) V_e_2)) V_c_2)) V_d_2))))))
% 80.53/80.75  (assume a724 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_e_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_e_2)) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_e_2)) V_d_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_b_2) V_a_2)) V_e_2)) V_d_2)))))))
% 80.53/80.75  (assume a725 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_e_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_e_2)) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_e_2)) V_d_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_b_2) V_a_2)) V_e_2)) V_d_2)))))))
% 80.53/80.75  (assume a726 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_e_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oordered__ring T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_e_2)) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_e_2)) V_d_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_a_2) V_b_2)) V_e_2)) V_c_2)) V_d_2))))))
% 80.53/80.75  (assume a727 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)))))))
% 80.53/80.75  (assume a728 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_m)))))))
% 80.53/80.75  (assume a729 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)))))))
% 80.53/80.75  (assume a730 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_na_2))))))
% 80.53/80.75  (assume a731 (forall ((V_na_2 $$unsorted) (V_k_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) V_k_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a732 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a733 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_A_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2 V_A_2) V_y_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b) V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_z_2) V_y_2))))))))
% 80.53/80.75  (assume a734 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2)) V_h_2)) (tptp.c_Groups_Oone__class_Oone T_c)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_h_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_A_2)))))))
% 80.53/80.75  (assume a735 (forall ((V_v $$unsorted) (V_u $$unsorted) (V_y $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_u)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_v)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_u) V_v) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_u) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_v) V_y))) V_a))))))))))
% 80.53/80.75  (assume a736 (forall ((V_z_2 $$unsorted) (V_g_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP V_g_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) V_z_2) V_A_2))))))))
% 80.53/80.75  (assume a737 (forall ((V_n $$unsorted) (V_m $$unsorted)) (and (=> (= V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (= V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_n)))))))
% 80.53/80.75  (assume a738 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Oring__char__0 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a739 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_u_2 $$unsorted) (V_j_2 $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i_2) V_j_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i_2) V_u_2)) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j_2) V_u_2)) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j_2) V_i_2)) V_u_2)) V_na_2)))))))
% 80.53/80.75  (assume a740 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_u_2 $$unsorted) (V_i_2 $$unsorted) (V_j_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j_2) V_i_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i_2) V_u_2)) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j_2) V_u_2)) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i_2) V_j_2)) V_u_2)) V_m_2)) V_na_2))))))
% 80.53/80.75  (assume a741 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_u_2 $$unsorted) (V_i_2 $$unsorted) (V_j_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j_2) V_i_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i_2) V_u_2)) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j_2) V_u_2)) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i_2) V_j_2)) V_u_2)) V_m_2)) V_na_2))))))
% 80.53/80.75  (assume a742 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_u $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j) V_i)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i) V_u)) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j) V_u)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i) V_j)) V_u)) V_m)) V_n)))))
% 80.53/80.75  (assume a743 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_u_2 $$unsorted) (V_i_2 $$unsorted) (V_j_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j_2) V_i_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i_2) V_u_2)) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j_2) V_u_2)) V_na_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_i_2) V_j_2)) V_u_2)) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a744 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_u_2 $$unsorted) (V_j_2 $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i_2) V_j_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i_2) V_u_2)) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j_2) V_u_2)) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j_2) V_i_2)) V_u_2)) V_na_2)))))))
% 80.53/80.75  (assume a745 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_u $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i) V_u)) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j) V_u)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_i)) V_u)) V_n))))))
% 80.53/80.75  (assume a746 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_u_2 $$unsorted) (V_j_2 $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i_2) V_j_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i_2) V_u_2)) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j_2) V_u_2)) V_na_2)) (= V_m_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j_2) V_i_2)) V_u_2)) V_na_2))))))
% 80.53/80.75  (assume a747 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a748 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_m_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_m_2) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (and (= V_m_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (= V_na_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))
% 80.53/80.75  (assume a749 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k) V_j)))))))
% 80.53/80.75  (assume a750 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_k_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a751 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z)))
% 80.53/80.75  (assume a752 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z) V_z)))
% 80.53/80.75  (assume a753 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_k_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a754 (forall ((V_z3 $$unsorted) (V_z2 $$unsorted) (V_z1 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z1) V_z2)) V_z3) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z1) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z2) V_z3)))))
% 80.53/80.75  (assume a755 (forall ((V_w $$unsorted) (V_v $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_v) V_w)))))
% 80.53/80.75  (assume a756 (forall ((V_w $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) V_z))))
% 80.53/80.75  (assume a757 (forall ((V_w $$unsorted) (V_z2 $$unsorted) (V_z1 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_z1) V_z2)) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z1) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z2) V_w)))))
% 80.53/80.75  (assume a758 (forall ((V_z2 $$unsorted) (V_z1 $$unsorted) (V_w $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_z1) V_z2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) V_z1)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) V_z2)))))
% 80.53/80.75  (assume a759 (forall ((V_w $$unsorted) (V_z2 $$unsorted) (V_z1 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z1) V_z2)) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z1) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z2) V_w)))))
% 80.53/80.75  (assume a760 (forall ((V_w $$unsorted) (V_v $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) V_w)))))
% 80.53/80.75  (assume a761 (forall ((V_z2 $$unsorted) (V_z1 $$unsorted) (V_w $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z1) V_z2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) V_z1)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) V_z2)))))
% 80.53/80.75  (assume a762 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_k)))))
% 80.53/80.75  (assume a763 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_m))))
% 80.53/80.75  (assume a764 (forall ((V_w $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w) V_z))))
% 80.53/80.75  (assume a765 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x) V_z)))))
% 80.53/80.75  (assume a766 (forall ((V_z3 $$unsorted) (V_z2 $$unsorted) (V_z1 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z1) V_z2)) V_z3) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z1) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z2) V_z3)))))
% 80.53/80.75  (assume a767 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) V_j))))))
% 80.53/80.75  (assume a768 (forall ((V_w $$unsorted) (V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z) V_w)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w) V_z)) (= V_z V_w)))))
% 80.53/80.75  (assume a769 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_j) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i) V_k))))))
% 80.53/80.75  (assume a770 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z) V_w)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w) V_z)))))
% 80.53/80.75  (assume a771 (forall ((V_w $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w) V_w))))
% 80.53/80.75  (assume a772 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) V_l_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_k_2) V_l_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a773 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_x) V_y)) (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_y) V_x)))))
% 80.53/80.75  (assume a774 (forall ((V_w_2 $$unsorted) (V_z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_z_2) V_w_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z_2) V_w_2)) (not (= V_z_2 V_w_2))))))
% 80.53/80.75  (assume a775 (forall ((V_z $$unsorted) (V_z_H $$unsorted) (V_w $$unsorted) (V_w_H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_H) V_w)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z_H) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w_H) V_z_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w) V_z)))))))
% 80.53/80.75  (assume a776 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_i) V_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_j) V_k))))))
% 80.53/80.75  (assume a777 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)))
% 80.53/80.75  (assume a778 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z) V_z)))
% 80.53/80.75  (assume a779 (forall ((V_z $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z)) V_z) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a780 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a781 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2)) (= V_w_2 V_z_2)))))
% 80.53/80.75  (assume a782 (forall ((V_z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z_2)) V_z_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_z_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a783 (forall ((V_z $$unsorted) (V_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_z)))))
% 80.53/80.75  (assume a784 (forall ((V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z))))))
% 80.53/80.75  (assume a785 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2)))))
% 80.53/80.75  (assume a786 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_z_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2)))))
% 80.53/80.75  (assume a787 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w_2) V_z_2)))))
% 80.53/80.75  (assume a788 (forall ((V_z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2)))))
% 80.53/80.75  (assume a789 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2)) (or (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_m_2 V_na_2)))))
% 80.53/80.75  (assume a790 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_u $$unsorted) (V_i $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_i) V_u)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_j) V_u)) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_j)) V_u)) V_k))))
% 80.53/80.75  (assume a791 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2)) (= V_m_2 V_na_2)))))
% 80.53/80.75  (assume a792 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a793 (forall ((V_q $$unsorted) (V_r $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_q))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_q) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))))
% 80.53/80.75  (assume a794 (forall ((V_q $$unsorted) (V_r $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_q))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_q)))))))
% 80.53/80.75  (assume a795 (forall ((V_r_H $$unsorted) (V_q_H $$unsorted) (V_b_H $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_q)) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_H) V_q_H)) V_r_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_H) V_q_H)) V_r_H)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_H) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_q_H) V_q))))))))))
% 80.53/80.75  (assume a796 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_r_H $$unsorted) (V_q_H $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_q_H)) V_r_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_q)) V_r))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_r) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) V_r)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) V_r_H)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_q) V_q_H))))))))
% 80.53/80.75  (assume a797 (forall ((V_r_H $$unsorted) (V_q_H $$unsorted) (V_b_H $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_q)) V_r) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_H) V_q_H)) V_r_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_H) V_q_H)) V_r_H))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r_H) V_b_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_H) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_q) V_q_H))))))))))
% 80.53/80.75  (assume a798 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_r_H $$unsorted) (V_q_H $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_q_H)) V_r_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_q)) V_r))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r_H) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_q_H) V_q))))))))
% 80.53/80.75  (assume a799 (forall ((V_r_H $$unsorted) (V_q_H $$unsorted) (V_b_H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_H) V_q_H)) V_r_H)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_H)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_q_H) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))))
% 80.53/80.75  (assume a800 (forall ((V_r_H $$unsorted) (V_q_H $$unsorted) (V_b_H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_H) V_q_H)) V_r_H))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r_H) V_b_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_H)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_q_H)))))))
% 80.53/80.75  (assume a801 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_k) V_k)))
% 80.53/80.75  (assume a802 (not (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a803 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_x) V_y)))))))
% 80.53/80.75  (assume a804 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a805 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x) V_y)))))))
% 80.53/80.75  (assume a806 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Nitpick_Opair__box T_a T_b)) (tptp.c_Nitpick_Opair__box_OPairBox T_a T_b V_a V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a807 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.c_Nitpick_Opair__box_Opair__box__case T_c T_d T_b V_f1_2 (tptp.c_Nitpick_Opair__box_OPairBox T_c T_d V_a_2 V_b_2)) (tptp.hAPP (tptp.hAPP V_f1_2 V_a_2) V_b_2))))
% 80.53/80.75  (assume a808 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.c_Nitpick_Opair__box_Opair__box__rec T_c T_d T_b V_f1_2 (tptp.c_Nitpick_Opair__box_OPairBox T_c T_d V_a_2 V_b_2)) (tptp.hAPP (tptp.hAPP V_f1_2 V_a_2) V_b_2))))
% 80.53/80.75  (assume a809 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a810 (forall ((V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a811 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Nat_Osemiring__char__0 T_b) (= (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_m_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2)) (= V_m_2 V_na_2)))))
% 80.53/80.75  (assume a812 (forall ((V_A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2))))))
% 80.53/80.75  (assume a813 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a814 (forall ((V_Pa_2 $$unsorted)) (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) B_x)))))))
% 80.53/80.75  (assume a815 (forall ((V_Pa_2 $$unsorted)) (= (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) B_x)))))))
% 80.53/80.75  (assume a816 (forall ((V_z $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_z)))))
% 80.53/80.75  (assume a817 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x_2) V_y_2)))))
% 80.53/80.75  (assume a818 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_x_2) V_y_2)))))
% 80.53/80.75  (assume a819 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_x) V_y)))))
% 80.53/80.75  (assume a820 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_x) V_y)))))
% 80.53/80.75  (assume a821 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a822 (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))
% 80.53/80.75  (assume a823 (forall ((V_na_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a824 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)))))
% 80.53/80.75  (assume a825 (forall ((V_k $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_k)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a826 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a827 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.75  (assume a828 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a829 (forall ((V_z $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n))) V_z))))
% 80.53/80.75  (assume a830 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w_2) V_z_2)) (exists ((B_n $$unsorted)) (= V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) B_n)))))))
% 80.53/80.75  (assume a831 (forall ((V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m))))))
% 80.53/80.75  (assume a832 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n))))))
% 80.53/80.75  (assume a833 (forall ((V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a834 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a835 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)))))
% 80.53/80.75  (assume a836 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a837 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_m_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a838 (forall ((V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n)))))))
% 80.53/80.75  (assume a839 (forall ((V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.75  (assume a840 (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))
% 80.53/80.75  (assume a841 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_m_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.75  (assume a842 (forall ((V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n))))))
% 80.53/80.75  (assume a843 (forall ((V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n))))))
% 80.53/80.75  (assume a844 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.75  (assume a845 (forall ((V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2)) (tptp.c_Int_Oring__1__class_OInts T_b))))))
% 80.53/80.75  (assume a846 (forall ((V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a847 (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))
% 80.53/80.75  (assume a848 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2)) (exists ((B_n $$unsorted)) (= V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc B_n))))))))
% 80.53/80.75  (assume a849 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)))))
% 80.53/80.75  (assume a850 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.75  (assume a851 (forall ((V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m))))))
% 80.53/80.75  (assume a852 (forall ((V_m $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n)))))))
% 80.53/80.75  (assume a853 (forall ((V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2)))))
% 80.53/80.75  (assume a854 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_k)) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_k)) V_j)))))))
% 80.53/80.75  (assume a855 (forall ((V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2))))))
% 80.53/80.75  (assume a856 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_x_2) V_y_2)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_y_2) V_x_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y_2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))))
% 80.53/80.75  (assume a857 (forall ((V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b T_b) (tptp.c_Groups_Oplus__class_Oplus T_b)) (tptp.c_Groups_Oone__class_Oone T_b)) V_na_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a858 (forall ((V_x $$unsorted) (V_y $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_y) V_x)) (= (tptp.c_Nat__Transfer_Otsub V_x V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) V_y))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_y) V_x))) (= (tptp.c_Nat__Transfer_Otsub V_x V_y) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a859 (forall ((V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)))))))
% 80.53/80.75  (assume a860 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_b) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_A_2)))))))))
% 80.53/80.75  (assume a861 (forall ((V_k $$unsorted) (V_v_H $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) V_k)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_v) V_v_H))) V_k))))))
% 80.53/80.75  (assume a862 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_v) V_v_H)))))))
% 80.53/80.75  (assume a863 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Oone__class_Oone T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_f_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_S_2) (tptp.c_Groups_Oone__class_Oone T_c)))))))
% 80.53/80.75  (assume a864 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2))))))
% 80.53/80.75  (assume a865 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (= (= V_A_2 V_B_2) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_B_2)))))
% 80.53/80.75  (assume a866 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y_2)) (= V_x_2 V_y_2))))
% 80.53/80.75  (assume a867 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n))))))
% 80.53/80.75  (assume a868 (forall ((V_A_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2)))))
% 80.53/80.75  (assume a869 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2)) (= V_m_2 V_na_2))))
% 80.53/80.75  (assume a870 (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))
% 80.53/80.75  (assume a871 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_B_2))))))
% 80.53/80.75  (assume a872 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_B_2))))))
% 80.53/80.75  (assume a873 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a874 (= tptp.c_Int_OPls (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))
% 80.53/80.75  (assume a875 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) tptp.c_Int_OPls)))
% 80.53/80.75  (assume a876 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) tptp.c_Int_OPls))))
% 80.53/80.75  (assume a877 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) tptp.c_Int_OPls) V_k)))
% 80.53/80.75  (assume a878 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) tptp.c_Int_OPls) V_k) V_k)))
% 80.53/80.75  (assume a879 (forall ((V_w $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) tptp.c_Int_OPls) V_w) tptp.c_Int_OPls)))
% 80.53/80.75  (assume a880 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_k) tptp.c_Int_OPls) V_k)))
% 80.53/80.75  (assume a881 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a882 (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a883 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.c_Groups_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a884 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OPls) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a885 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OPls)) V_a) V_a))))
% 80.53/80.75  (assume a886 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OPls)) V_a))))
% 80.53/80.75  (assume a887 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OPls))))
% 80.53/80.75  (assume a888 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a889 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) tptp.c_Int_OPls) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.75  (assume a890 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) tptp.c_Int_OPls)))
% 80.53/80.75  (assume a891 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OPls)))
% 80.53/80.75  (assume a892 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_a_2)))
% 80.53/80.75  (assume a893 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_g_2 $$unsorted)) (=> (= V_g_2 (tptp.c_Finite__Set_Ofold1 T_b V_f_2)) (= (tptp.hAPP V_g_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_a_2))))
% 80.53/80.75  (assume a894 (forall ((V_x_2 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg V_x_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x_2)))))
% 80.53/80.75  (assume a895 (forall ((V_Z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg V_Z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_Z_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a896 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.c_Nat__Transfer_Otsub (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_x) V_y)))))
% 80.53/80.75  (assume a897 (forall ((V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP V_F_2 V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b V_f_2) V_A_2))))))
% 80.53/80.75  (assume a898 (forall ((V_i_2 $$unsorted) (V_inc_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux T_b V_inc_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_i_2) V_i_2))))
% 80.53/80.75  (assume a899 (forall ((V_i_2 $$unsorted) (V_na_2 $$unsorted) (V_inc_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux T_b V_inc_2 (tptp.hAPP tptp.c_Nat_OSuc V_na_2) V_i_2) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux T_b V_inc_2 V_na_2 (tptp.hAPP V_inc_2 V_i_2))))))
% 80.53/80.75  (assume a900 (forall ((V_v_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_v_2) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a901 (forall ((V_v_2 $$unsorted)) (= (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_v_2) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a902 (forall ((V_v_H_2 $$unsorted) (V_v_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v_2) V_v_H_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) V_v_H_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v_2) V_v_H_2))))))
% 80.53/80.75  (assume a903 (forall ((V_v_H_2 $$unsorted) (V_v_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_v_2) V_v_H_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_v_2) tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a904 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b V_f_2) V_A_2) (tptp.c_HOL_OThe T_b (tptp.c_Finite__Set_Ofold1Set T_b V_f_2 V_A_2)))))
% 80.53/80.75  (assume a905 (forall ((V_v $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a906 (forall ((V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))))))
% 80.53/80.75  (assume a907 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_x_2) tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a908 (forall ((V_y_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) V_y_2))))))
% 80.53/80.75  (assume a909 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_x_2) tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a910 (forall ((V_y_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) V_y_2))))))
% 80.53/80.75  (assume a911 (forall ((V_v_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) V_v_2)))))
% 80.53/80.75  (assume a912 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v_H) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v_H) tptp.c_Int_OPls))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) V_v_H)))))))))
% 80.53/80.75  (assume a913 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_b) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_A_2))))))))
% 80.53/80.75  (assume a914 (forall ((V_v_H_2 $$unsorted) (V_v_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H_2)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_2)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H_2))) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H_2)))) (= V_v_2 V_v_H_2))))))))
% 80.53/80.75  (assume a915 (forall ((V_k $$unsorted) (V_v_H $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) V_k))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) V_k))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) V_v_H))) V_k))))))))
% 80.53/80.75  (assume a916 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Nat__Transfer_Otsub V_x V_y)))))))
% 80.53/80.75  (assume a917 (forall ((V_x $$unsorted) (V_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_y) V_x)) (= (tptp.c_Nat__Transfer_Otsub V_x V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) V_y)))))
% 80.53/80.75  (assume a918 (forall ((V_n $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_n))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_Osucc V_v))) V_n))))))
% 80.53/80.75  (assume a919 (forall ((V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_Osucc V_v)))))))
% 80.53/80.75  (assume a920 (forall ((V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_Osucc V_v)))))))
% 80.53/80.75  (assume a921 (forall ((V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_Osucc V_v)))))))
% 80.53/80.75  (assume a922 (forall ((V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_v) tptp.c_Int_OPls))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_Opred V_v)))))))
% 80.53/80.75  (assume a923 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_A_2)) V_A_2))))))))
% 80.53/80.75  (assume a924 (forall ((V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) V_w_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Nat_Osemiring__1__class_ONats T_b)))))))
% 80.53/80.75  (assume a925 (forall ((V_m $$unsorted) (V_v $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) V_v)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_Opred V_v)))))))
% 80.53/80.75  (assume a926 (forall ((V_x $$unsorted)) (= (tptp.c_Int_Osucc (tptp.c_Int_Opred V_x)) V_x)))
% 80.53/80.75  (assume a927 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) V_l_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_Opred V_k_2)) V_l_2)))))
% 80.53/80.75  (assume a928 (forall ((V_k $$unsorted)) (= (tptp.c_Int_Opred V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_k) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a929 (forall ((V_k $$unsorted)) (= (tptp.c_Int_Osucc V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a930 (forall ((T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.c_Nat_Osemiring__1__class_ONats T_b))))))
% 80.53/80.75  (assume a931 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Nat_Osemiring__1__class_ONats T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Nat_Osemiring__1__class_ONats T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_b_2)) (tptp.c_Nat_Osemiring__1__class_ONats T_b))))))))
% 80.53/80.75  (assume a932 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Nat_Osemiring__1__class_ONats T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Nat_Osemiring__1__class_ONats T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_b_2)) (tptp.c_Nat_Osemiring__1__class_ONats T_b))))))))
% 80.53/80.75  (assume a933 (forall ((T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.c_Nat_Osemiring__1__class_ONats T_b))))))
% 80.53/80.75  (assume a934 (forall ((V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2)) (tptp.c_Nat_Osemiring__1__class_ONats T_b))))))
% 80.53/80.75  (assume a935 (forall ((V_k $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_Osucc V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_k))))))
% 80.53/80.75  (assume a936 (forall ((V_v_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2)))) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a937 (forall ((V_na_2 $$unsorted) (V_v_2 $$unsorted) (V_f_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nat_Onat_Onat__case T_b V_a_2 V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) tptp.tc_Int_Oint) (tptp.c_If T_b)) tptp.c_Nat__Numeral_Oneg)) (tptp.c_Nat_Onat_Onat__case T_b V_a_2 V_f_2 V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Int_Oint) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_Int_Oint) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) tptp.c_Int_Onat)) V_na_2)))))))
% 80.53/80.75  (assume a938 (forall ((V_v_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2)) tptp.c_Int_Onat))))))))
% 80.53/80.75  (assume a939 (forall ((V_na_2 $$unsorted) (V_v_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Int_Oint) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) tptp.c_Int_Onat)) V_na_2)))))))
% 80.53/80.75  (assume a940 (forall ((V_v_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2)) tptp.c_Int_Onat))))))))
% 80.53/80.75  (assume a941 (forall ((V_na_2 $$unsorted) (V_v_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Int_Oint) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) tptp.c_Int_Onat)) V_na_2)))))))
% 80.53/80.75  (assume a942 (forall ((V_k_2 $$unsorted) (V_Pa_2 $$unsorted) (V_d_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_d_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) V_d_2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) V_d_2)))))))))))
% 80.53/80.75  (assume a943 (forall ((V_w_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2))) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2)))) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.c_COMBI tptp.tc_Nat_Onat)))))))))
% 80.53/80.75  (assume a944 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_b) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_N_2)) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.75  (assume a945 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.c_Int_OBit1 V_k_2) (tptp.c_Int_OBit1 V_l_2)) (= V_k_2 V_l_2))))
% 80.53/80.75  (assume a946 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) (tptp.c_Int_OBit1 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a947 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k1_2)) (tptp.c_Int_OBit1 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a948 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k1_2)) (tptp.c_Int_OBit1 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a949 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) (tptp.c_Int_OBit1 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a950 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) V_n)))
% 80.53/80.75  (assume a951 (forall ((V_k $$unsorted)) (not (= (tptp.c_Int_OBit1 V_k) tptp.c_Int_OPls))))
% 80.53/80.75  (assume a952 (forall ((V_l $$unsorted)) (not (= tptp.c_Int_OPls (tptp.c_Int_OBit1 V_l)))))
% 80.53/80.75  (assume a953 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a954 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.75  (assume a955 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a956 (forall ((V_z_H_2 $$unsorted) (V_z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_H_2)) (= (= (tptp.hAPP tptp.c_Int_Onat V_z_2) (tptp.hAPP tptp.c_Int_Onat V_z_H_2)) (= V_z_2 V_z_H_2))))))
% 80.53/80.75  (assume a957 (forall ((V_Pa_2 $$unsorted)) (= (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP tptp.c_Int_Onat B_x))))))))
% 80.53/80.75  (assume a958 (forall ((V_Pa_2 $$unsorted)) (= (forall ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP tptp.c_Int_Onat B_x))))))))
% 80.53/80.75  (assume a959 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y_2)) (= (= (tptp.hAPP tptp.c_Int_Onat V_x_2) (tptp.hAPP tptp.c_Int_Onat V_y_2)) (= V_x_2 V_y_2))))))
% 80.53/80.75  (assume a960 (forall ((V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_w_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a961 (forall ((V_v $$unsorted)) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))))
% 80.53/80.75  (assume a962 (forall ((V_w $$unsorted)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w))))
% 80.53/80.75  (assume a963 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.c_Int_OBit1 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) V_k_2)))))
% 80.53/80.75  (assume a964 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a965 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a966 (forall ((V_k $$unsorted)) (= (tptp.c_Int_OBit1 V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_k)) V_k))))
% 80.53/80.75  (assume a967 (forall ((V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg V_z)) (= (tptp.hAPP tptp.c_Int_Onat V_z) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a968 (forall ((V_z $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg V_z))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_Onat V_z)) V_z))))
% 80.53/80.75  (assume a969 (forall ((V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_w_2)))) (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2))))))
% 80.53/80.75  (assume a970 (forall ((V_A_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2)) V_A_2)))
% 80.53/80.75  (assume a971 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) (tptp.c_Int_OBit1 tptp.c_Int_OPls)))
% 80.53/80.75  (assume a972 (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)))))
% 80.53/80.75  (assume a973 (forall ((V_i_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Int_Onat V_i_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a974 (forall ((V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP tptp.c_Int_Onat V_z) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a975 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_w_2)) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2))))))
% 80.53/80.75  (assume a976 (forall ((V_w_2 $$unsorted) (V_z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_w_2)) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2))))))
% 80.53/80.75  (assume a977 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))))))
% 80.53/80.75  (assume a978 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x_2)) (tptp.hAPP tptp.c_Int_Onat V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_x_2) V_y_2)))))))
% 80.53/80.75  (assume a979 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a980 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 tptp.c_Int_OPls))) V_a) V_a))))
% 80.53/80.75  (assume a981 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 tptp.c_Int_OPls))) V_a))))
% 80.53/80.75  (assume a982 (forall ((V_z $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_Onat V_z)) V_z)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z))) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_Onat V_z)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a983 (forall ((V_z_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2) V_z_2) (and (= V_m_2 (tptp.hAPP tptp.c_Int_Onat V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2))))))
% 80.53/80.75  (assume a984 (forall ((V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_Onat V_z)) V_z))))
% 80.53/80.75  (assume a985 (forall ((V_z_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2)) V_z_2)))))
% 80.53/80.75  (assume a986 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.75  (assume a987 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.c_Groups_Oone__class_Oone T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a988 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.c_Int_OBit1 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) V_k_2)))))
% 80.53/80.75  (assume a989 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a990 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls))))
% 80.53/80.75  (assume a991 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))
% 80.53/80.75  (assume a992 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 tptp.c_Int_OPls))))
% 80.53/80.75  (assume a993 (forall ((V_z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2)))))
% 80.53/80.75  (assume a994 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_w_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_w_2)) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2))))))
% 80.53/80.75  (assume a995 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x_2)) (tptp.hAPP tptp.c_Int_Onat V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_x_2) V_y_2)))))))
% 80.53/80.75  (assume a996 (forall ((V_m_2 $$unsorted) (V_w_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Int_Onat V_w_2) V_m_2) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_w_2)) (= V_w_2 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_w_2))) (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a997 (forall ((V_w_2 $$unsorted) (V_m_2 $$unsorted)) (= (= V_m_2 (tptp.hAPP tptp.c_Int_Onat V_w_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_w_2)) (= V_w_2 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_w_2))) (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a998 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_w_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_w_2)) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w_2) V_z_2))))))
% 80.53/80.75  (assume a999 (forall ((V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP tptp.c_Int_Onat V_i_2))) (and (forall ((B_n $$unsorted)) (=> (= V_i_2 (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) B_n)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_n)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))))
% 80.53/80.75  (assume a1000 (forall ((V_z_H $$unsorted) (V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_H)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z) V_z_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_z)) (tptp.hAPP tptp.c_Int_Onat V_z_H)))))))
% 80.53/80.75  (assume a1001 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x)) (tptp.hAPP tptp.c_Int_Onat V_y)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x) V_y)))))))
% 80.53/80.75  (assume a1002 (forall ((V_v_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_2)) (and (= V_m_2 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_2)))))))
% 80.53/80.75  (assume a1003 (forall ((V_z_H $$unsorted) (V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z) V_z_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_z)) (tptp.hAPP tptp.c_Int_Onat V_z_H))))))
% 80.53/80.75  (assume a1004 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x)) (tptp.hAPP tptp.c_Int_Onat V_y)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_x) V_y)))))))
% 80.53/80.75  (assume a1005 (forall ((V_z $$unsorted) (V_z_H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z_H) V_z)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_z) V_z_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_z)) (tptp.hAPP tptp.c_Int_Onat V_z_H)))))))
% 80.53/80.75  (assume a1006 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a1007 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a1008 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a1009 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n))))
% 80.53/80.75  (assume a1010 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a1011 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x)) (tptp.hAPP tptp.c_Int_Onat V_y)) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Nat__Transfer_Otsub V_x V_y)))))))
% 80.53/80.75  (assume a1012 (forall ((V_z_2 $$unsorted) (V_z_H_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg V_z_H_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_z_2)) (tptp.hAPP tptp.c_Int_Onat V_z_H_2)) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg V_z_H_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_z_2)) (tptp.hAPP tptp.c_Int_Onat V_z_H_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_z_2) V_z_H_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) tptp.c_Int_Onat)))))))
% 80.53/80.75  (assume a1013 (forall ((V_z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP tptp.c_Int_Onat V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z_2)))))
% 80.53/80.75  (assume a1014 (forall ((V_m_2 $$unsorted) (V_w_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_w_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_w_2)) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2)))))))
% 80.53/80.75  (assume a1015 (forall ((V_y_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) V_y_2))))))
% 80.53/80.75  (assume a1016 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.c_Groups_Oone__class_Oone T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_x_2) (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))
% 80.53/80.75  (assume a1017 (forall ((V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Int_Onat V_z)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_z))))))
% 80.53/80.75  (assume a1018 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.c_Groups_Oone__class_Oone T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_x_2) (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))
% 80.53/80.75  (assume a1019 (forall ((V_y_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Rings_Olinordered__idom T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) V_y_2))))))
% 80.53/80.75  (assume a1020 (forall ((V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))
% 80.53/80.75  (assume a1021 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) V_w))))))
% 80.53/80.75  (assume a1022 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) tptp.c_Int_OPls)) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.75  (assume a1023 (forall ((V_v_2 $$unsorted) (V_na_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Nat_OSuc V_na_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fequal) tptp.c_Int_Onat)) V_na_2))))))))
% 80.53/80.75  (assume a1024 (forall ((V_na_2 $$unsorted) (V_v_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) tptp.c_fNot) tptp.c_Nat__Numeral_Oneg))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fequal) tptp.c_Int_Onat)) V_na_2))))))))
% 80.53/80.75  (assume a1025 (forall ((V_v_2 $$unsorted) (V_f_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nat_Onat_Onat__case T_b V_a_2 V_f_2 (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) tptp.tc_Int_Oint) (tptp.c_If T_b)) tptp.c_Nat__Numeral_Oneg)) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Int_Oint) V_f_2) tptp.c_Int_Onat))))))
% 80.53/80.75  (assume a1026 (forall ((V_n $$unsorted) (V_i $$unsorted)) (= (tptp.c_Int_Onat__aux V_i V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_i)) V_n))))
% 80.53/80.75  (assume a1027 (forall ((V_na_2 $$unsorted) (V_v_2 $$unsorted) (V_f_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec T_b V_a_2 V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) tptp.tc_Int_Oint) (tptp.c_If T_b)) tptp.c_Nat__Numeral_Oneg)) (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec T_b V_a_2 V_f_2) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun T_b T_b) tptp.tc_Int_Oint) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_Int_Oint) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) tptp.c_Int_Onat)) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Int_Oint) (tptp.c_Nat_Onat_Onat__rec T_b V_a_2 V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_Int_Oint) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) tptp.c_Int_Onat)) V_na_2))))))))
% 80.53/80.75  (assume a1028 (forall ((V_v_2 $$unsorted) (V_f_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec T_b V_a_2 V_f_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) tptp.tc_Int_Oint) (tptp.c_If T_b)) tptp.c_Nat__Numeral_Oneg)) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun T_b T_b) tptp.tc_Int_Oint) V_f_2) tptp.c_Int_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Int_Oint) (tptp.c_Nat_Onat_Onat__rec T_b V_a_2 V_f_2)) tptp.c_Int_Onat)))))))
% 80.53/80.75  (assume a1029 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a1030 (forall ((V_v_2 $$unsorted) (V_v_H_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v_H_2) tptp.c_Int_OPls)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_v_H_2) tptp.c_Int_OPls))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_v_H_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) tptp.c_Int_Onat)))))))
% 80.53/80.75  (assume a1031 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_x))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP tptp.c_Int_Onat V_x))) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP tptp.c_Int_Onat V_x))))))))
% 80.53/80.75  (assume a1032 (forall ((V_v_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_b) (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2)))) (tptp.c_COMBI T_b))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2))) (tptp.c_Groups_Oone__class_Oone T_b)))))))
% 80.53/80.75  (assume a1033 (forall ((V_na_2 $$unsorted) (V_v_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_Int_Oint) (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) tptp.c_Int_Onat)) V_na_2)))))))
% 80.53/80.75  (assume a1034 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (tptp.c_Fun_Oinj__on T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_A_2))))
% 80.53/80.75  (assume a1035 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n))) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)))))
% 80.53/80.75  (assume a1036 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc V_n)))) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)))))
% 80.53/80.75  (assume a1037 (forall ((V_n $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x)) V_n) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_x) V_n)))))
% 80.53/80.75  (assume a1038 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) V_n))))
% 80.53/80.75  (assume a1039 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) V_n) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a1040 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))))))
% 80.53/80.75  (assume a1041 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w))))))
% 80.53/80.75  (assume a1042 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ouminus T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c T_b)) V_A_2) V_x_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.hAPP V_A_2 V_x_2))))))
% 80.53/80.75  (assume a1043 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_a))))
% 80.53/80.75  (assume a1044 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) V_x))))
% 80.53/80.75  (assume a1045 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_a) V_a))))
% 80.53/80.75  (assume a1046 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ouminus T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c T_b)) V_A_2) V_x_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.hAPP V_A_2 V_x_2))))))
% 80.53/80.75  (assume a1047 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_b) V_a)))))
% 80.53/80.75  (assume a1048 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_x)))))
% 80.53/80.75  (assume a1049 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_b) (= (= V_a_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)) (= V_b_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2))))))
% 80.53/80.75  (assume a1050 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)))))
% 80.53/80.75  (assume a1051 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)))))
% 80.53/80.75  (assume a1052 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_b) V_c))))))
% 80.53/80.75  (assume a1053 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_z))))))
% 80.53/80.75  (assume a1054 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_b) (= (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2) V_b_2) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2) V_a_2)))))
% 80.53/80.75  (assume a1055 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_b) (= (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)) (= V_a_2 V_b_2)))))
% 80.53/80.75  (assume a1056 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_b) (= (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.75  (assume a1057 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_b) V_c))))))
% 80.53/80.75  (assume a1058 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_z))))))
% 80.53/80.75  (assume a1059 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z)) V_z)))
% 80.53/80.75  (assume a1060 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k)) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_k)))))
% 80.53/80.75  (assume a1061 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.c_Int_OBit0 V_k_2) (tptp.c_Int_OBit0 V_l_2)) (= V_k_2 V_l_2))))
% 80.53/80.75  (assume a1062 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.75  (assume a1063 (forall ((V_z $$unsorted) (V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w))) V_z)))))
% 80.53/80.75  (assume a1064 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)))))))
% 80.53/80.75  (assume a1065 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)) V_a_2))))))
% 80.53/80.75  (assume a1066 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2))))))
% 80.53/80.75  (assume a1067 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_x_2))))))
% 80.53/80.75  (assume a1068 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)))))))
% 80.53/80.75  (assume a1069 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)))))))
% 80.53/80.75  (assume a1070 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) V_y_2)) V_z_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_z_2)))))))
% 80.53/80.75  (assume a1071 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) V_x)))))
% 80.53/80.75  (assume a1072 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) V_y)))))
% 80.53/80.75  (assume a1073 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) V_y_2) V_x_2)))))
% 80.53/80.75  (assume a1074 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_y_2) V_z_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_z_2)))))))
% 80.53/80.75  (assume a1075 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)) V_x))))))
% 80.53/80.75  (assume a1076 (forall ((V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)) V_x))))))
% 80.53/80.75  (assume a1077 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y) V_x)))))
% 80.53/80.75  (assume a1078 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y) V_y)))))
% 80.53/80.75  (assume a1079 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b))))))))
% 80.53/80.75  (assume a1080 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_z))))))))
% 80.53/80.75  (assume a1081 (forall ((V_d $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_c) V_d))))))))
% 80.53/80.75  (assume a1082 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_b)))))))))
% 80.53/80.75  (assume a1083 (forall ((T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1084 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_b) (= (= (tptp.c_Groups_Ozero__class_Ozero T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) (= (tptp.c_Groups_Ozero__class_Ozero T_b) V_a_2)))))
% 80.53/80.75  (assume a1085 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (= V_a_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a1086 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_b) (= (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a1087 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2) V_a_2) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a1088 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)))))))
% 80.53/80.75  (assume a1089 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)) V_a_2))))))
% 80.53/80.75  (assume a1090 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2))))))
% 80.53/80.75  (assume a1091 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)) V_x))))))
% 80.53/80.75  (assume a1092 (forall ((V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_a) V_b)) V_x))))))
% 80.53/80.75  (assume a1093 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) V_y_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_z_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_z_2) V_y_2)))))))
% 80.53/80.75  (assume a1094 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) V_y_2)) V_z_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_y_2) V_z_2)))))))
% 80.53/80.75  (assume a1095 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b))))))
% 80.53/80.75  (assume a1096 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a))))))
% 80.53/80.75  (assume a1097 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_b)) V_b))))
% 80.53/80.75  (assume a1098 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_b))))
% 80.53/80.75  (assume a1099 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b))))))
% 80.53/80.75  (assume a1100 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_b)))))
% 80.53/80.75  (assume a1101 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b))))))
% 80.53/80.75  (assume a1102 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)))))
% 80.53/80.75  (assume a1103 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oidom T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_b_2)) (or (= V_a_2 V_b_2) (= V_a_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)))))))
% 80.53/80.75  (assume a1104 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_y) V_z))))))
% 80.53/80.75  (assume a1105 (forall ((V_q $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_y)) V_q) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) V_q))))))
% 80.53/80.75  (assume a1106 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_b) V_a)))))
% 80.53/80.75  (assume a1107 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_y) V_z))))))
% 80.53/80.75  (assume a1108 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a1109 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a1110 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.75  (assume a1111 (forall ((V_w_2 $$unsorted) (V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b T_b) (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.c_COMBI T_b)))))))
% 80.53/80.75  (assume a1112 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k1_2)) (tptp.c_Int_OBit0 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a1113 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) (tptp.c_Int_OBit0 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a1114 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) (tptp.c_Int_OBit0 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a1115 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k1_2)) (tptp.c_Int_OBit0 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a1116 (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))
% 80.53/80.75  (assume a1117 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls))
% 80.53/80.75  (assume a1118 (forall ((V_l_2 $$unsorted)) (= (= tptp.c_Int_OPls (tptp.c_Int_OBit0 V_l_2)) (= tptp.c_Int_OPls V_l_2))))
% 80.53/80.75  (assume a1119 (forall ((V_k_2 $$unsorted)) (= (= (tptp.c_Int_OBit0 V_k_2) tptp.c_Int_OPls) (= V_k_2 tptp.c_Int_OPls))))
% 80.53/80.75  (assume a1120 (forall ((V_l $$unsorted) (V_k $$unsorted)) (not (= (tptp.c_Int_OBit0 V_k) (tptp.c_Int_OBit1 V_l)))))
% 80.53/80.75  (assume a1121 (forall ((V_l $$unsorted) (V_k $$unsorted)) (not (= (tptp.c_Int_OBit1 V_k) (tptp.c_Int_OBit0 V_l)))))
% 80.53/80.75  (assume a1122 (forall ((V_k $$unsorted)) (= (tptp.c_Int_OBit0 V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) V_k))))
% 80.53/80.75  (assume a1123 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k)) (tptp.c_Int_OBit0 V_l)) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) V_l)))))
% 80.53/80.75  (assume a1124 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_p)) V_q) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_p) V_q))))))
% 80.53/80.75  (assume a1125 (forall ((V_n $$unsorted) (V_i $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_m) V_n)) V_i))))
% 80.53/80.75  (assume a1126 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_y) V_z)))))
% 80.53/80.75  (assume a1127 (forall ((V_w_2 $$unsorted) (V_z_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) (tptp.c_COMBI tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a1128 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k)) V_l) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k) V_l)))))
% 80.53/80.75  (assume a1129 (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) tptp.c_Int_OPls) tptp.c_Int_OPls))
% 80.53/80.75  (assume a1130 (forall ((V_w $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)))))
% 80.53/80.75  (assume a1131 (forall ((V_w $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)))))
% 80.53/80.75  (assume a1132 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k)) (tptp.c_Int_OBit0 V_l)) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_k) V_l)))))
% 80.53/80.75  (assume a1133 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_x))))
% 80.53/80.75  (assume a1134 (forall ((V_w $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z)) V_w) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z) V_w)))))
% 80.53/80.75  (assume a1135 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1__no__zero__divisors T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Groups_Oone__class_Oone T_b)) (or (= V_a_2 (tptp.c_Groups_Oone__class_Oone T_b)) (= V_a_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.c_Groups_Oone__class_Oone T_b))))))))
% 80.53/80.75  (assume a1136 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n))))))
% 80.53/80.75  (assume a1137 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)))))
% 80.53/80.75  (assume a1138 (forall ((V_n $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x)) V_n) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) V_n))))))
% 80.53/80.75  (assume a1139 (forall ((V_n $$unsorted) (V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_z) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_z)) V_n)))))
% 80.53/80.75  (assume a1140 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.75  (assume a1141 (forall ((V_w_2 $$unsorted) (V_v_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b T_b) (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.c_COMBI T_b)))))))
% 80.53/80.75  (assume a1142 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n))) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.75  (assume a1143 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1__no__zero__divisors T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a1144 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1145 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.75  (assume a1146 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_a)))))
% 80.53/80.75  (assume a1147 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.75  (assume a1148 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.75  (assume a1149 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a1150 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a1151 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.75  (assume a1152 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.75  (assume a1153 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a1154 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.75  (assume a1155 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.75  (assume a1156 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a1157 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1158 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_b) (= (= V_a_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_b_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a1159 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1160 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1161 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a) V_b)))))
% 80.53/80.75  (assume a1162 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)))))
% 80.53/80.75  (assume a1163 (forall ((V_v $$unsorted) (V_u $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber T_b) (tptp.class_Orderings_Oord T_b)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)))))))
% 80.53/80.75  (assume a1164 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__ring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y))))))
% 80.53/80.75  (assume a1165 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)))))
% 80.53/80.75  (assume a1166 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b))))))
% 80.53/80.75  (assume a1167 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ogroup__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b))))))
% 80.53/80.75  (assume a1168 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1__no__zero__divisors T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) V_x_2) (tptp.c_Groups_Oone__class_Oone T_b)) (or (= V_x_2 (tptp.c_Groups_Oone__class_Oone T_b)) (= V_x_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.c_Groups_Oone__class_Oone T_b))))))))
% 80.53/80.75  (assume a1169 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__ring__1 T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))) V_x)))))
% 80.53/80.75  (assume a1170 (forall ((V_q $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Nat_OSuc V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q))))))
% 80.53/80.75  (assume a1171 (forall ((V_q $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Nat_OSuc V_q))))))
% 80.53/80.75  (assume a1172 (forall ((V_q $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Nat_OSuc V_q))))))
% 80.53/80.75  (assume a1173 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.75  (assume a1174 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_p)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_p) V_q))))))
% 80.53/80.75  (assume a1175 (forall ((V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a1176 (forall ((V_n $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) V_n))))))
% 80.53/80.75  (assume a1177 (forall ((V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec T_b V_f1_2 V_f2_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_f1_2)))
% 80.53/80.75  (assume a1178 (forall ((V_nat_2 $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec T_b V_f1_2 V_f2_2) (tptp.hAPP tptp.c_Nat_OSuc V_nat_2)) (tptp.hAPP (tptp.hAPP V_f2_2 V_nat_2) (tptp.hAPP (tptp.c_Nat_Onat_Onat__rec T_b V_f1_2 V_f2_2) V_nat_2)))))
% 80.53/80.75  (assume a1179 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.c_Int_OBit0 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) V_k_2)))))
% 80.53/80.75  (assume a1180 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a1181 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k1_2)) (tptp.c_Int_OBit1 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a1182 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) (tptp.c_Int_OBit1 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a1183 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a1184 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.c_Int_OBit0 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) V_k_2)))))
% 80.53/80.75  (assume a1185 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) (tptp.c_Int_OBit0 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a1186 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k1_2)) (tptp.c_Int_OBit0 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a1187 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k)) (tptp.c_Int_OBit0 V_l)) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) V_l)))))
% 80.53/80.75  (assume a1188 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k)) (tptp.c_Int_OBit1 V_l)) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) V_l)))))
% 80.53/80.75  (assume a1189 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) V_z)))))
% 80.53/80.75  (assume a1190 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z)) V_z) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a1191 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2)) (and (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a1192 (forall ((V_l $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.c_Int_OBit0 V_l)) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OPls) V_l)))))
% 80.53/80.75  (assume a1193 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k)) (tptp.c_Int_OBit1 V_l)) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_k) V_l)))))
% 80.53/80.75  (assume a1194 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k)) (tptp.c_Int_OBit0 V_l)) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_k) V_l)))))
% 80.53/80.75  (assume a1195 (forall ((V_m $$unsorted) (V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)))))))
% 80.53/80.75  (assume a1196 (forall ((V_w $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_z) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)))))
% 80.53/80.75  (assume a1197 (forall ((V_w $$unsorted) (V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_z) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_z) V_w))))
% 80.53/80.75  (assume a1198 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) (tptp.c_Int_Oring__1__class_OInts T_b)))))))
% 80.53/80.75  (assume a1199 (forall ((V_na_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Int_Oring__1__class_OInts T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_a_2) V_na_2)) (tptp.c_Int_Oring__1__class_OInts T_b)))))))
% 80.53/80.75  (assume a1200 (forall ((V_w_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w_2)))) (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2))))))
% 80.53/80.75  (assume a1201 (forall ((V_k $$unsorted)) (= (tptp.c_Int_Opred (tptp.c_Int_OBit0 V_k)) (tptp.c_Int_OBit1 (tptp.c_Int_Opred V_k)))))
% 80.53/80.75  (assume a1202 (forall ((V_k $$unsorted)) (= (tptp.c_Int_Opred (tptp.c_Int_OBit1 V_k)) (tptp.c_Int_OBit0 V_k))))
% 80.53/80.75  (assume a1203 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k)) (tptp.c_Int_OBit1 (tptp.c_Int_Opred (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_k))))))
% 80.53/80.75  (assume a1204 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))))
% 80.53/80.75  (assume a1205 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)))))))
% 80.53/80.75  (assume a1206 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (= V_x V_y)))))))
% 80.53/80.75  (assume a1207 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (not (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a1208 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a1209 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_x_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_y_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.c_Groups_Ozero__class_Ozero T_b)) (and (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a1210 (forall ((V_w $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Omonoid__mult T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w))))))
% 80.53/80.75  (assume a1211 (forall ((V_k $$unsorted)) (= (tptp.c_Int_Osucc (tptp.c_Int_OBit1 V_k)) (tptp.c_Int_OBit0 (tptp.c_Int_Osucc V_k)))))
% 80.53/80.75  (assume a1212 (forall ((V_k $$unsorted)) (= (tptp.c_Int_Osucc (tptp.c_Int_OBit0 V_k)) (tptp.c_Int_OBit1 V_k))))
% 80.53/80.75  (assume a1213 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n))))))
% 80.53/80.75  (assume a1214 (forall ((V_w_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 V_w_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.c_COMBI tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a1215 (forall ((V_w $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w))))))))
% 80.53/80.75  (assume a1216 (forall ((V_n $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) V_n) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) V_n)))))))
% 80.53/80.75  (assume a1217 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)))))))
% 80.53/80.75  (assume a1218 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))))
% 80.53/80.75  (assume a1219 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_x_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_y_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (tptp.c_Groups_Ozero__class_Ozero T_b))) (and (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.75  (assume a1220 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a1221 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_x_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_y_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))) (or (not (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (not (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.75  (assume a1222 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) V_y)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_x)) V_y))))))
% 80.53/80.75  (assume a1223 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)))))))
% 80.53/80.75  (assume a1224 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))))
% 80.53/80.75  (assume a1225 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)))))))
% 80.53/80.75  (assume a1226 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))))))
% 80.53/80.75  (assume a1227 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k1_2)) (tptp.c_Int_OBit0 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a1228 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) (tptp.c_Int_OBit0 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a1229 (forall ((V_k2_2 $$unsorted) (V_k1_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k1_2)) (tptp.c_Int_OBit1 V_k2_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k1_2) V_k2_2)))))
% 80.53/80.75  (assume a1230 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) (tptp.c_Int_OBit1 V_l_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) V_l_2)))))
% 80.53/80.75  (assume a1231 (forall ((V_w $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)))))))
% 80.53/80.75  (assume a1232 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k)) V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k) V_l))) V_l))))
% 80.53/80.75  (assume a1233 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2)))) (and (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a1234 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a1235 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.75  (assume a1236 (forall ((V_w $$unsorted) (V_v $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w))))))
% 80.53/80.75  (assume a1237 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc V_n)))))))
% 80.53/80.75  (assume a1238 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k)) (tptp.c_Int_OBit1 V_l)) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.c_Int_Opred V_k)) V_l)))))
% 80.53/80.75  (assume a1239 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_x) V_y)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_x)) V_y))))))
% 80.53/80.75  (assume a1240 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a))))))
% 80.53/80.75  (assume a1241 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)))) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a1242 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k)) (tptp.c_Int_OBit1 V_l)) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) (tptp.c_Int_Osucc V_l))))))
% 80.53/80.75  (assume a1243 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 V_w))))))
% 80.53/80.75  (assume a1244 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_m_2) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_na_2)) V_m_2))))
% 80.53/80.75  (assume a1245 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)) V_na_2)) V_m_2))))
% 80.53/80.75  (assume a1246 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_a)) V_a)))))
% 80.53/80.75  (assume a1247 (forall ((V_w $$unsorted) (V_c $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_c) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)))) V_c)))))
% 80.53/80.75  (assume a1248 (forall ((V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_n))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_n)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_n))))))))
% 80.53/80.75  (assume a1249 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_Opred V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w))))))
% 80.53/80.75  (assume a1250 (forall ((V_n $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc V_n))))))))
% 80.53/80.75  (assume a1251 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc V_n)))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))
% 80.53/80.75  (assume a1252 (forall ((V_p $$unsorted) (V_m $$unsorted)) (and (=> (= V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_p) V_m) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (=> (not (= V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_p) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_p) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_p) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))))))
% 80.53/80.75  (assume a1253 (forall ((V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_z) V_z)))))
% 80.53/80.75  (assume a1254 (forall ((V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_z) V_z)))))
% 80.53/80.75  (assume a1255 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))
% 80.53/80.75  (assume a1256 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a1257 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a1258 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a1259 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_n)))))
% 80.53/80.75  (assume a1260 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_n)))))
% 80.53/80.75  (assume a1261 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_z) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_z) V_z))))
% 80.53/80.75  (assume a1262 (forall ((V_z $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_z) V_z))))
% 80.53/80.75  (assume a1263 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a1264 (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))
% 80.53/80.75  (assume a1265 (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a1266 (forall ((V_z_H $$unsorted) (V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z) V_z_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z_H)))))))
% 80.53/80.75  (assume a1267 (forall ((V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (or (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_n (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a1268 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a1269 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_w)))))))
% 80.53/80.75  (assume a1270 (forall ((V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_v) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.75  (assume a1271 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_b) (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_z_2))) (tptp.c_COMBI T_b))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2))) (tptp.c_Groups_Oone__class_Oone T_b)))))))
% 80.53/80.75  (assume a1272 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_w_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_z_2))) (tptp.c_COMBI tptp.tc_Int_Oint))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_z_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 V_w_2))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a1273 (forall ((V_v_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_na_2)) tptp.c_Int_Onat)))))))
% 80.53/80.75  (assume a1274 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_B_2)) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2)))))))))
% 80.53/80.75  (assume a1275 (forall ((V_n $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n)))))))))
% 80.53/80.75  (assume a1276 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) B_x))))))))))
% 80.53/80.75  (assume a1277 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2)) V_x_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) B_x) V_x_2))))))))))
% 80.53/80.75  (assume a1278 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) B_x))))))))))
% 80.53/80.75  (assume a1279 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2)) V_x_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) B_x) V_x_2))))))))))
% 80.53/80.75  (assume a1280 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2)) V_a_2)))))))
% 80.53/80.75  (assume a1281 (forall ((V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))))))
% 80.53/80.75  (assume a1282 (forall ((V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))))))
% 80.53/80.75  (assume a1283 (forall ((V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))))))
% 80.53/80.75  (assume a1284 (forall ((V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))))))
% 80.53/80.75  (assume a1285 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))))))
% 80.53/80.75  (assume a1286 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)))))
% 80.53/80.75  (assume a1287 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.75  (assume a1288 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_x) V_x))))
% 80.53/80.75  (assume a1289 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1__no__zero__divisors T_a) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a))) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a1290 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.75  (assume a1291 (forall ((V_m_2 $$unsorted) (V_x_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_x_2) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (or (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_x_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.75  (assume a1292 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_i)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_i) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_i) V_n))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.75  (assume a1293 (forall ((V_na_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_x_2) V_na_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_x_2)) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.75  (assume a1294 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 80.53/80.75  (assume a1295 (forall ((V_n $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n))))))
% 80.53/80.75  (assume a1296 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_n) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.75  (assume a1297 (forall ((V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_m)) V_n)))))
% 80.53/80.75  (assume a1298 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) V_n)))))
% 80.53/80.75  (assume a1299 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_a))))
% 80.53/80.75  (assume a1300 (forall ((V_n $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n))))))))
% 80.53/80.75  (assume a1301 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)))))))
% 80.53/80.75  (assume a1302 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)))))))
% 80.53/80.75  (assume a1303 (forall ((V_na_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Power_Opower T_b) (tptp.class_Rings_Omult__zero T_b) (tptp.class_Rings_Ono__zero__divisors T_b) (tptp.class_Rings_Ozero__neq__one T_b)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_a_2) V_na_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (and (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (not (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))))
% 80.53/80.75  (assume a1304 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)))))))
% 80.53/80.75  (assume a1305 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Power_Opower T_a) (tptp.class_Rings_Osemiring__0 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1306 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Oone__class_Oone T_b)) V_a_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_a_2) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_a_2) V_na_2)) (= V_m_2 V_na_2))))))
% 80.53/80.75  (assume a1307 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Power_Opower T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 80.53/80.75  (assume a1308 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) V_a)))))
% 80.53/80.75  (assume a1309 (forall ((V_n $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_i)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_i) V_n))))))
% 80.53/80.75  (assume a1310 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Power_Opower T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.75  (assume a1311 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__mult T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 80.53/80.75  (assume a1312 (forall ((V_b $$unsorted) (V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a1313 (forall ((V_b $$unsorted) (V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) (tptp.hAPP tptp.c_Nat_OSuc V_n))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (= V_a V_b)))))))
% 80.53/80.75  (assume a1314 (forall ((V_b $$unsorted) (V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) (tptp.hAPP tptp.c_Nat_OSuc V_n)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)))))))
% 80.53/80.75  (assume a1315 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))))
% 80.53/80.75  (assume a1316 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))))
% 80.53/80.75  (assume a1317 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Power_Opower T_a) (tptp.class_Rings_Osemiring__0 T_a)) (and (=> (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_n) (tptp.c_Groups_Oone__class_Oone T_a))) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_n) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.75  (assume a1318 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc V_n))))))))
% 80.53/80.75  (assume a1319 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Oone__class_Oone T_b)) V_b_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_b_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_b_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x_2) V_y_2)))))))
% 80.53/80.75  (assume a1320 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)))))))
% 80.53/80.75  (assume a1321 (forall ((V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) V_N)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N))))))))
% 80.53/80.75  (assume a1322 (forall ((V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_N)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N))))))))
% 80.53/80.75  (assume a1323 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 80.53/80.75  (assume a1324 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))))
% 80.53/80.75  (assume a1325 (forall ((V_b $$unsorted) (V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (= V_a V_b))))))))
% 80.53/80.75  (assume a1326 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP tptp.c_Nat_OSuc V_n))) (tptp.c_Groups_Oone__class_Oone T_a))))))))
% 80.53/80.75  (assume a1327 (forall ((V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) V_N)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)))))))))
% 80.53/80.75  (assume a1328 (forall ((V_a $$unsorted) (V_N $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_N)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_N)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)))))))))
% 80.53/80.75  (assume a1329 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Oone__class_Oone T_b)) V_b_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_b_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_b_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_x_2) V_y_2)))))))
% 80.53/80.75  (assume a1330 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)))))))
% 80.53/80.75  (assume a1331 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))))
% 80.53/80.75  (assume a1332 (forall ((V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Big__Operators_Osemilattice__big T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP V_F_2 V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b V_f_2) V_A_2))))))
% 80.53/80.75  (assume a1333 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.c_Int_Oiszero T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))))
% 80.53/80.75  (assume a1334 (forall ((V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (= (= (tptp.c_Groups_Oone__class_Oone T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2)) (tptp.c_Int_Oiszero T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Int_OBit1 tptp.c_Int_OPls)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_y_2))))))))
% 80.53/80.75  (assume a1335 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_a))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a1336 (forall ((V_v $$unsorted) (V_w $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))
% 80.53/80.75  (assume a1337 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Orderings_Oord_Omax T_b (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless__eq T_b))) (tptp.c_Orderings_Oord__class_Omin T_b)))))
% 80.53/80.75  (assume a1338 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_b V_a)))))))
% 80.53/80.75  (assume a1339 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_A_2)))
% 80.53/80.75  (assume a1340 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)) (= V_A_2 V_B_2))))
% 80.53/80.75  (assume a1341 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b) V_b) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)))))
% 80.53/80.75  (assume a1342 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a V_a V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1343 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a V_a (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a))))
% 80.53/80.75  (assume a1344 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.c_Groups_Ozero__class_Ozero T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1345 (forall ((V_b_H $$unsorted) (V_b $$unsorted) (V_a_H $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (= (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_a_H V_c)) (=> (= (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_b_H V_c)) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a_H) V_b_H) V_c)))))))
% 80.53/80.75  (assume a1346 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) V_c)))))
% 80.53/80.75  (assume a1347 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c)) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) V_c)))))
% 80.53/80.75  (assume a1348 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c)) V_c)))))
% 80.53/80.75  (assume a1349 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) V_b) V_c)))))
% 80.53/80.75  (assume a1350 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c)) V_c)))))
% 80.53/80.75  (assume a1351 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_a) V_b) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)))))
% 80.53/80.75  (assume a1352 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b) V_b) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)))))
% 80.53/80.75  (assume a1353 (forall ((V_b_H $$unsorted) (V_b $$unsorted) (V_a_H $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (= (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_a_H V_c)) (=> (= (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_b_H V_c)) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a_H) V_b_H) V_c)))))))
% 80.53/80.75  (assume a1354 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) V_c)))))
% 80.53/80.75  (assume a1355 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)) V_c)))))
% 80.53/80.75  (assume a1356 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b))))))
% 80.53/80.75  (assume a1357 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c)) V_c)))))
% 80.53/80.75  (assume a1358 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) V_b) V_c)))))
% 80.53/80.75  (assume a1359 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c)) V_c)))))
% 80.53/80.75  (assume a1360 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c)) V_c)))))
% 80.53/80.75  (assume a1361 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) V_b) V_c)))))
% 80.53/80.75  (assume a1362 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c)) (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c)) V_c)))))
% 80.53/80.75  (assume a1363 (forall ((V_b_H $$unsorted) (V_b $$unsorted) (V_a_H $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (=> (= (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_a_H V_c)) (=> (= (tptp.c_Divides_Odiv__class_Omod T_a V_b V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_b_H V_c)) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a_H) V_b_H) V_c)))))))
% 80.53/80.75  (assume a1364 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a) V_b) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)) V_b)))))
% 80.53/80.75  (assume a1365 (forall ((V_a_H $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (=> (= (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b) (tptp.c_Divides_Odiv__class_Omod T_a V_a_H V_b)) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a) V_b) (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a_H) V_b))))))
% 80.53/80.75  (assume a1366 (forall ((V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a1367 (forall ((V_b $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.75  (assume a1368 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_b V_c)) V_c) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_b) V_c))))
% 80.53/80.75  (assume a1369 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_b) V_c) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_b V_c)) V_c))))
% 80.53/80.75  (assume a1370 (forall ((V_m $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_y V_m)) V_m) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) V_y) V_m))))
% 80.53/80.75  (assume a1371 (forall ((V_y $$unsorted) (V_m $$unsorted) (V_x $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_x V_m)) V_y) V_m) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) V_y) V_m))))
% 80.53/80.75  (assume a1372 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) V_b)))))
% 80.53/80.75  (assume a1373 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)))))
% 80.53/80.75  (assume a1374 (forall ((V_m $$unsorted) (V_x $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_x V_m)) V_m) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_x) V_m))))
% 80.53/80.75  (assume a1375 (forall ((V_y $$unsorted) (V_m $$unsorted) (V_x $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_x V_m)) V_y) V_m) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) V_y) V_m))))
% 80.53/80.75  (assume a1376 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1377 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1378 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b)) V_b) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)))))
% 80.53/80.75  (assume a1379 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c)) V_b) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)))))
% 80.53/80.75  (assume a1380 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.c_Divides_Odiv__class_Omod T_a V_a (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1381 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (= (tptp.c_Int_Oiszero T_b V_z_2) (= V_z_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.75  (assume a1382 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (tptp.c_Int_Oiszero T_a (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.75  (assume a1383 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_a) (not (tptp.c_Int_Oiszero T_a (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.75  (assume a1384 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_x V_y)))))))
% 80.53/80.75  (assume a1385 (forall ((V_k $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_m V_k)) V_m)))))
% 80.53/80.75  (assume a1386 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b))))))
% 80.53/80.75  (assume a1387 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)) V_b)))))
% 80.53/80.75  (assume a1388 (forall ((V_d_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_m_2 V_d_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (exists ((B_q $$unsorted)) (= V_m_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_d_2) B_q))))))
% 80.53/80.75  (assume a1389 (forall ((V_l $$unsorted) (V_k $$unsorted)) (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_k (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_l)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_k V_l) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a1390 (forall ((V_l $$unsorted) (V_k $$unsorted)) (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_k) V_l) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_k V_l) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a1391 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) V_a)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) V_a)))))
% 80.53/80.75  (assume a1392 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)))))))
% 80.53/80.75  (assume a1393 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.75  (assume a1394 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) V_b)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) V_a)))))
% 80.53/80.75  (assume a1395 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)) V_b))))))
% 80.53/80.75  (assume a1396 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b))))))
% 80.53/80.75  (assume a1397 (forall ((V_b $$unsorted) (V_a $$unsorted)) (and (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)) V_b))))))
% 80.53/80.75  (assume a1398 (forall ((V_b $$unsorted) (V_a $$unsorted)) (and (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)))))))
% 80.53/80.75  (assume a1399 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (tptp.c_Int_Oiszero T_a (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OPls)))))
% 80.53/80.75  (assume a1400 (forall ((V_w $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_a) (tptp.class_Int_Oring__char__0 T_a)) (not (tptp.c_Int_Oiszero T_a (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 V_w)))))))
% 80.53/80.75  (assume a1401 (forall ((V_w_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_b) (tptp.class_Int_Oring__char__0 T_b)) (= (tptp.c_Int_Oiszero T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) (tptp.c_Int_OBit0 V_w_2))) (tptp.c_Int_Oiszero T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))))))
% 80.53/80.75  (assume a1402 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b))))))
% 80.53/80.75  (assume a1403 (forall ((V_y $$unsorted) (V_q_1 $$unsorted) (V_b_1 $$unsorted) (V_a_1 $$unsorted)) (=> (= V_a_1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_1) V_q_1)) V_y)) (=> (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_1)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_y) V_b_1)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_1))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_1) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_y) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))) (=> (not (= V_b_1 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a_1 V_b_1) V_y))))))
% 80.53/80.75  (assume a1404 (forall ((V_q $$unsorted) (V_r $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) V_r)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_r) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_q V_c))) V_r)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))))
% 80.53/80.76  (assume a1405 (forall ((V_q $$unsorted) (V_r $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) V_r)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_r) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_q V_c))) V_r))))))))
% 80.53/80.76  (assume a1406 (forall ((V_q $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (V_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_q V_c))) V_r)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_c))))))))
% 80.53/80.76  (assume a1407 (forall ((V_q $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (V_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_q V_c))) V_r))))))))
% 80.53/80.76  (assume a1408 (forall ((V_k_2 $$unsorted) (V_na_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_na_2 V_k_2))) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_na_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2)) (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_j) V_k_2)) (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) B_i)) B_j))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_j))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_j) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) B_i)) B_j))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_j)))))))))
% 80.53/80.76  (assume a1409 (forall ((V_w $$unsorted) (V_v $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))))))
% 80.53/80.76  (assume a1410 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (not (tptp.c_Int_Oiszero T_a (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))
% 80.53/80.76  (assume a1411 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2)) (tptp.c_Int_Oiszero T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_y_2))))))))
% 80.53/80.76  (assume a1412 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.c_Int_Oiszero T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) tptp.c_Int_OPls))))))))
% 80.53/80.76  (assume a1413 (forall ((V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_b) (= (= (tptp.c_Groups_Ozero__class_Ozero T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2)) (tptp.c_Int_Oiszero T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_y_2))))))))
% 80.53/80.76  (assume a1414 (forall ((V_k $$unsorted) (V_l $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_l)) (= (tptp.c_SMT_Oz3mod V_k V_l) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_k V_l))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_l))) (= (tptp.c_SMT_Oz3mod V_k V_l) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_k (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_l)))))))
% 80.53/80.76  (assume a1415 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Big__Operators_Ocomm__monoid__big T_b T_c V_f_2 V_z_2 V_F_2) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_F_2 V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_b T_c V_f_2) V_g_2) V_z_2) V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2))) (= (tptp.hAPP (tptp.hAPP V_F_2 V_g_2) V_A_2) V_z_2))))))
% 80.53/80.76  (assume a1416 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_a)))))
% 80.53/80.76  (assume a1417 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_b) V_a)))))
% 80.53/80.76  (assume a1418 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (= (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Orderings_Oord_Omin T_b (tptp.c_Orderings_Oord__class_Oless__eq T_b))))))
% 80.53/80.76  (assume a1419 (forall ((T_b $$unsorted)) (=> (tptp.class_Power_Opower T_b) (= (tptp.c_Power_Opower__class_Opower T_b) (tptp.c_Power_Opower_Opower T_b (tptp.c_Groups_Oone__class_Oone T_b) (tptp.c_Groups_Otimes__class_Otimes T_b))))))
% 80.53/80.76  (assume a1420 (forall ((V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.76  (assume a1421 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m) V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) V_n))))
% 80.53/80.76  (assume a1422 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) V_m))))
% 80.53/80.76  (assume a1423 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) V_m))))
% 80.53/80.76  (assume a1424 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)))))
% 80.53/80.76  (assume a1425 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) V_k) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_k)))))
% 80.53/80.76  (assume a1426 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b))))
% 80.53/80.76  (assume a1427 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a)) V_b))))
% 80.53/80.76  (assume a1428 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a1429 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a1430 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a))))
% 80.53/80.76  (assume a1431 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.76  (assume a1432 (forall ((V_n $$unsorted) (V_m $$unsorted)) (and (=> (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) V_n) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) V_n)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)))))))
% 80.53/80.76  (assume a1433 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_x) V_y)))))))
% 80.53/80.76  (assume a1434 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) V_n)))))
% 80.53/80.76  (assume a1435 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_2) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1436 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_2) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a_2))))))
% 80.53/80.76  (assume a1437 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1438 (forall ((V_a $$unsorted)) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_a) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))
% 80.53/80.76  (assume a1439 (forall ((V_d_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m_2 V_d_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (exists ((B_q $$unsorted)) (= V_m_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_d_2) B_q))))))
% 80.53/80.76  (assume a1440 (forall ((V_n $$unsorted) (V_m $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) V_m)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n) V_n))))))
% 80.53/80.76  (assume a1441 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n) V_n)))))
% 80.53/80.76  (assume a1442 (forall ((V_w $$unsorted) (V_v $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_v))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))))
% 80.53/80.76  (assume a1443 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.76  (assume a1444 (forall ((V_a $$unsorted)) (and (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a))))
% 80.53/80.76  (assume a1445 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)) V_m) V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n))))
% 80.53/80.76  (assume a1446 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n) V_n)))))
% 80.53/80.76  (assume a1447 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_b) V_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_c)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_b V_c))) V_c)))))
% 80.53/80.76  (assume a1448 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_x V_y)))))
% 80.53/80.76  (assume a1449 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_a V_b)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_b)))))
% 80.53/80.76  (assume a1450 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (and (=> (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b)) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a1451 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) V_b) V_a)))))
% 80.53/80.76  (assume a1452 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_a)) V_b) V_a)))))
% 80.53/80.76  (assume a1453 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b))))))
% 80.53/80.76  (assume a1454 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b))))))
% 80.53/80.76  (assume a1455 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.76  (assume a1456 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a1457 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_i_2) V_k_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (or (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_i_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_i_2) V_k_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) V_i_2)))))))
% 80.53/80.76  (assume a1458 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a_2))))))
% 80.53/80.76  (assume a1459 (forall ((V_i_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_i_2) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) V_i_2))))))
% 80.53/80.76  (assume a1460 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_2) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_2) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_2)))))))
% 80.53/80.76  (assume a1461 (forall ((V_b $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_H) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b_H))))))))
% 80.53/80.76  (assume a1462 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1463 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1464 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1465 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1466 (forall ((V_b $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_H) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b_H)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b))))))))
% 80.53/80.76  (assume a1467 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) V_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1468 (forall ((V_b $$unsorted) (V_a_H $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a) V_a_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_H) V_b)))))))
% 80.53/80.76  (assume a1469 (forall ((V_b $$unsorted) (V_a_H $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_a) V_a_H)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_H) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)))))))
% 80.53/80.76  (assume a1470 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)) V_n)))))
% 80.53/80.76  (assume a1471 (forall ((V_k $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_x) V_k)) V_x))))))
% 80.53/80.76  (assume a1472 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_c)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) V_c)))))
% 80.53/80.76  (assume a1473 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)) V_m)) V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m) V_n))))
% 80.53/80.76  (assume a1474 (forall ((V_k $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) V_b)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b))) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_k))))
% 80.53/80.76  (assume a1475 (forall ((V_k $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b))) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_k))))
% 80.53/80.76  (assume a1476 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_b) V_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_b V_c))) V_c)))))
% 80.53/80.76  (assume a1477 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)))))
% 80.53/80.76  (assume a1478 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_m) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_m V_n)))))
% 80.53/80.76  (assume a1479 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_m) V_n)) V_n)))))
% 80.53/80.76  (assume a1480 (forall ((V_a_2 $$unsorted) (V_times_2 $$unsorted) (V_one_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower T_b V_one_2 V_times_2) V_a_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_one_2)))
% 80.53/80.76  (assume a1481 (forall ((V_na_2 $$unsorted) (V_a_2 $$unsorted) (V_times_2 $$unsorted) (V_one_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower T_b V_one_2 V_times_2) V_a_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.hAPP V_times_2 V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower T_b V_one_2 V_times_2) V_a_2) V_na_2)))))
% 80.53/80.76  (assume a1482 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c))) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a1483 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b))) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a1484 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_a)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)) (tptp.c_Groups_Oone__class_Oone T_a)))))))
% 80.53/80.76  (assume a1485 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)) (tptp.c_Groups_Oone__class_Oone T_a)))))))
% 80.53/80.76  (assume a1486 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)) V_b)) V_a))))
% 80.53/80.76  (assume a1487 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b))) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)) V_a))))
% 80.53/80.76  (assume a1488 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)) V_b)) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b)) V_a))))
% 80.53/80.76  (assume a1489 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b))) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b))) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)))))
% 80.53/80.76  (assume a1490 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)) V_b)) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b))) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_c)))))
% 80.53/80.76  (assume a1491 (forall ((V_k_2 $$unsorted) (V_na_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_na_2 V_k_2))) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_na_2))) (=> (not (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_j) V_k_2)) (=> (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) B_i)) B_j)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_j))))))))))
% 80.53/80.76  (assume a1492 (forall ((V_q $$unsorted) (V_b $$unsorted) (V_r $$unsorted) (V_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_r) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_q V_c))) V_r)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_b) V_c)))))))
% 80.53/80.76  (assume a1493 (forall ((V_m $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_k)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m)) V_k) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))
% 80.53/80.76  (assume a1494 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_x V_y)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat V_x) (tptp.hAPP tptp.c_Int_Onat V_y)))))))
% 80.53/80.76  (assume a1495 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat V_x) (tptp.hAPP tptp.c_Int_Onat V_y)) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_x V_y)))))))
% 80.53/80.76  (assume a1496 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Big__Operators_Ocomm__monoid__big T_b T_c V_f_2 V_z_2 V_F_2) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2))) (= (tptp.hAPP (tptp.hAPP V_F_2 V_g_2) V_A_2) V_z_2)))))
% 80.53/80.76  (assume a1497 (forall ((V_k_2 $$unsorted) (V_na_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_na_2) V_k_2))) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2)) (forall ((B_i $$unsorted)) (=> (exists ((B_j $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_j) V_k_2)) (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) B_i)) B_j)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_i))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (forall ((B_i $$unsorted)) (=> (exists ((B_j $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_j) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) B_i)) B_j)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_i)))))))))
% 80.53/80.76  (assume a1498 (forall ((V_r_1 $$unsorted) (V_y $$unsorted) (V_b_1 $$unsorted) (V_a_1 $$unsorted)) (=> (= V_a_1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_1) V_y)) V_r_1)) (=> (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_1)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r_1)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r_1) V_b_1)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_1))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_1) V_r_1)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_r_1) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))) (=> (not (= V_b_1 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_1) V_b_1) V_y))))))
% 80.53/80.76  (assume a1499 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_n)))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)))))
% 80.53/80.76  (assume a1500 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_m))) V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_m) V_n))))
% 80.53/80.76  (assume a1501 (forall ((V_v $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_m))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_m) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)))))
% 80.53/80.76  (assume a1502 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_c)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) V_c))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b))))))
% 80.53/80.76  (assume a1503 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))
% 80.53/80.76  (assume a1504 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (and (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)))) (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))))
% 80.53/80.76  (assume a1505 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (and (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a)) V_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)))) (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a)) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))))
% 80.53/80.76  (assume a1506 (forall ((V_na_2 $$unsorted) (V_Pa_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_na_2) V_k_2)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_na_2 V_k_2))) (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_j) V_k_2)) (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) B_i)) B_j))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_i) B_j))))))))
% 80.53/80.76  (assume a1507 (forall ((V_na_2 $$unsorted) (V_Pa_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_na_2) V_k_2)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_na_2 V_k_2))) (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_j) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) B_i)) B_j))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_i) B_j))))))))
% 80.53/80.76  (assume a1508 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H)))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H))))))))))
% 80.53/80.76  (assume a1509 (forall ((V_v $$unsorted) (V_w $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_v))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_v))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_w))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))))))
% 80.53/80.76  (assume a1510 (forall ((V_k $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_k) V_m)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))))
% 80.53/80.76  (assume a1511 (forall ((V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m_2 (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m_2 (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))
% 80.53/80.76  (assume a1512 (forall ((V_v_H $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H)))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H))))))))
% 80.53/80.76  (assume a1513 (forall ((V_k $$unsorted) (V_l $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_l)) (= (tptp.c_SMT_Oz3div V_k V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_k) V_l))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_l))) (= (tptp.c_SMT_Oz3div V_k V_l) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_k) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_l))))))))
% 80.53/80.76  (assume a1514 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1515 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.76  (assume a1516 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_B_2))))))))
% 80.53/80.76  (assume a1517 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_B_2))))))))
% 80.53/80.76  (assume a1518 (forall ((V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))))
% 80.53/80.76  (assume a1519 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_b) V_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_a V_c)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_b V_c))) V_c)))))
% 80.53/80.76  (assume a1520 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)) V_m))))
% 80.53/80.76  (assume a1521 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_n) V_k))))))
% 80.53/80.76  (assume a1522 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_a) V_b)) V_c))))
% 80.53/80.76  (assume a1523 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OMin) tptp.c_Int_OMin)))
% 80.53/80.76  (assume a1524 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) tptp.c_Int_OMin))))
% 80.53/80.76  (assume a1525 (not (= tptp.c_Int_OMin tptp.c_Int_OPls)))
% 80.53/80.76  (assume a1526 (not (= tptp.c_Int_OPls tptp.c_Int_OMin)))
% 80.53/80.76  (assume a1527 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin))
% 80.53/80.76  (assume a1528 (forall ((V_l_2 $$unsorted)) (= (= tptp.c_Int_OMin (tptp.c_Int_OBit1 V_l_2)) (= tptp.c_Int_OMin V_l_2))))
% 80.53/80.76  (assume a1529 (forall ((V_k_2 $$unsorted)) (= (= (tptp.c_Int_OBit1 V_k_2) tptp.c_Int_OMin) (= V_k_2 tptp.c_Int_OMin))))
% 80.53/80.76  (assume a1530 (forall ((V_l $$unsorted)) (not (= tptp.c_Int_OMin (tptp.c_Int_OBit0 V_l)))))
% 80.53/80.76  (assume a1531 (forall ((V_k $$unsorted)) (not (= (tptp.c_Int_OBit0 V_k) tptp.c_Int_OMin))))
% 80.53/80.76  (assume a1532 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_m)))
% 80.53/80.76  (assume a1533 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.76  (assume a1534 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (and (=> (= V_k (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (= V_k (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.76  (assume a1535 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_a) V_b) V_c))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_a V_b)))))
% 80.53/80.76  (assume a1536 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_b) V_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_a) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_b V_c))) V_c)))))
% 80.53/80.76  (assume a1537 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)) V_n)))))
% 80.53/80.76  (assume a1538 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)))))
% 80.53/80.76  (assume a1539 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)))))
% 80.53/80.76  (assume a1540 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_a)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_b)))))
% 80.53/80.76  (assume a1541 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_x)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_y)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_x) V_y)))))
% 80.53/80.76  (assume a1542 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.76  (assume a1543 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OMin) tptp.c_Int_OPls)))
% 80.53/80.76  (assume a1544 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OPls) tptp.c_Int_OMin))))
% 80.53/80.76  (assume a1545 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1546 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Int_OBit1 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OMin) V_k_2)))))
% 80.53/80.76  (assume a1547 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OPls) tptp.c_Int_OMin))))
% 80.53/80.76  (assume a1548 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) tptp.c_Int_OPls)))
% 80.53/80.76  (assume a1549 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Int_OBit1 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) V_k_2)))))
% 80.53/80.76  (assume a1550 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit1 V_k_2)) tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1551 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1552 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Int_OBit0 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) V_k_2)))))
% 80.53/80.76  (assume a1553 (not (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin))))
% 80.53/80.76  (assume a1554 (= tptp.c_Int_OMin (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))
% 80.53/80.76  (assume a1555 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) tptp.c_Int_OMin) V_k) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_k))))
% 80.53/80.76  (assume a1556 (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin))))
% 80.53/80.76  (assume a1557 (= (tptp.c_Int_Opred tptp.c_Int_OPls) tptp.c_Int_OMin))
% 80.53/80.76  (assume a1558 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_k) tptp.c_Int_OMin) (tptp.c_Int_Opred V_k))))
% 80.53/80.76  (assume a1559 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) tptp.c_Int_OMin) V_k) (tptp.c_Int_Opred V_k))))
% 80.53/80.76  (assume a1560 (= (tptp.c_Int_Opred tptp.c_Int_OMin) (tptp.c_Int_OBit0 tptp.c_Int_OMin)))
% 80.53/80.76  (assume a1561 (tptp.c_Nat__Transfer_Onat__set (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool))))
% 80.53/80.76  (assume a1562 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (not (tptp.c_Int_Oiszero T_a (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin))))))
% 80.53/80.76  (assume a1563 (= (tptp.c_Int_Osucc tptp.c_Int_OMin) tptp.c_Int_OPls))
% 80.53/80.76  (assume a1564 (forall ((V_k $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_k) tptp.c_Int_OMin) (tptp.c_Int_Osucc V_k))))
% 80.53/80.76  (assume a1565 (forall ((V_S_2 $$unsorted)) (= (tptp.c_Nat__Transfer_Onat__set V_S_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_x) V_S_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)))))))
% 80.53/80.76  (assume a1566 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_k) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_k) V_m)))))))
% 80.53/80.76  (assume a1567 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.76  (assume a1568 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m) V_n)) V_n) V_m))))
% 80.53/80.76  (assume a1569 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_m)) V_n) V_m))))
% 80.53/80.76  (assume a1570 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)) V_m))))))
% 80.53/80.76  (assume a1571 (forall ((V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_z)))))
% 80.53/80.76  (assume a1572 (forall ((V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) V_z) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_z)))))
% 80.53/80.76  (assume a1573 (forall ((V_C_2 $$unsorted)) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_C_2))))
% 80.53/80.76  (assume a1574 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1575 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.76  (assume a1576 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (= (= V_A_2 V_B_2) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_B_2)))))))
% 80.53/80.76  (assume a1577 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Int_OBit0 V_k_2)) tptp.c_Int_OMin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1578 (forall ((V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Int_OBit0 V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) tptp.c_Int_OMin) V_k_2)))))
% 80.53/80.76  (assume a1579 (forall ((V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))
% 80.53/80.76  (assume a1580 (forall ((V_l $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OPls) (tptp.c_Int_OBit1 V_l)) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OMin) V_l)))))
% 80.53/80.76  (assume a1581 (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Int_OBit1 tptp.c_Int_OPls)))
% 80.53/80.76  (assume a1582 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_m) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (or (= V_m (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (= V_m (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin))))))
% 80.53/80.76  (assume a1583 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_m_2) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (or (and (= V_m_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (= V_na_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) (and (= V_m_2 (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (= V_na_2 (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)))))))
% 80.53/80.76  (assume a1584 (forall ((V_l $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Int_OBit1 V_l)) (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OMin) V_l)))))
% 80.53/80.76  (assume a1585 (forall ((V_l $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OMin) (tptp.c_Int_OBit0 V_l)) (tptp.c_Int_OBit1 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) tptp.c_Int_OMin) V_l)))))
% 80.53/80.76  (assume a1586 (forall ((V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a))))
% 80.53/80.76  (assume a1587 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_n)))))))
% 80.53/80.76  (assume a1588 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_n))))))))
% 80.53/80.76  (assume a1589 (forall ((V_k_2 $$unsorted) (V_na_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_na_2) V_k_2))) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (=> (not (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_j) V_k_2)) (=> (= V_na_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) B_i)) B_j)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_i))))))))))
% 80.53/80.76  (assume a1590 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x)) (tptp.hAPP tptp.c_Int_Onat V_y)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_x) V_y)))))))
% 80.53/80.76  (assume a1591 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x)) (tptp.hAPP tptp.c_Int_Onat V_y))))))
% 80.53/80.76  (assume a1592 (forall ((V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) V_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1593 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x_2))))))
% 80.53/80.76  (assume a1594 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_n)))))))
% 80.53/80.76  (assume a1595 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m_2) V_na_2))) (or (and (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (exists ((B_q $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) B_q)) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc B_q)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_q))))))))
% 80.53/80.76  (assume a1596 (forall ((V_m_2 $$unsorted) (V_q_2 $$unsorted) (V_na_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2)) (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) V_q_2)) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP tptp.c_Nat_OSuc V_q_2))))) (= V_q_2 (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.76  (assume a1597 (forall ((V_v $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_m)))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)))))
% 80.53/80.76  (assume a1598 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_m)))) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_m)) V_n))))
% 80.53/80.76  (assume a1599 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_n)))) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_n)))))
% 80.53/80.76  (assume a1600 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc V_m))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.76  (assume a1601 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_m)))
% 80.53/80.76  (assume a1602 (forall ((V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)) V_A_2))))
% 80.53/80.76  (assume a1603 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.c_Nat__Numeral_Oneg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H))))))))
% 80.53/80.76  (assume a1604 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin))))))
% 80.53/80.76  (assume a1605 (forall ((V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1606 (forall ((V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)))))))
% 80.53/80.76  (assume a1607 (forall ((V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2))))))
% 80.53/80.76  (assume a1608 (forall ((V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))))
% 80.53/80.76  (assume a1609 (forall ((V_v_H $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_H)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v_H))))))
% 80.53/80.76  (assume a1610 (forall ((V_k $$unsorted)) (and (=> (= V_k (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (= (tptp.hAPP tptp.c_Code__Numeral_Oint__of V_k) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (not (= V_k (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (and (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral V_k (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (= (tptp.hAPP tptp.c_Code__Numeral_Oint__of V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral) V_k) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))) (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral V_k (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (= (tptp.hAPP tptp.c_Code__Numeral_Oint__of V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral) V_k) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))))
% 80.53/80.76  (assume a1611 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x_2) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2))))))))
% 80.53/80.76  (assume a1612 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint V_l_2 V_u_2)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_u_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_l_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1613 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_OBit1 tptp.c_Int_OPls))))
% 80.53/80.76  (assume a1614 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))))
% 80.53/80.76  (assume a1615 (forall ((V_k $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_k) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_k)))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_k) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP tptp.c_Int_Onat V_k))))))))
% 80.53/80.76  (assume a1616 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint V_l_2 V_u_2)))))
% 80.53/80.76  (assume a1617 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Oring__char__0 T_b) (= (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_w_2) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2)) (= V_w_2 V_z_2)))))
% 80.53/80.76  (assume a1618 (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)))
% 80.53/80.76  (assume a1619 (forall ((V_k $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_k) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_k)))))
% 80.53/80.76  (assume a1620 (forall ((V_w $$unsorted)) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint) V_w))))
% 80.53/80.76  (assume a1621 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n))))
% 80.53/80.76  (assume a1622 (tptp.c_Nat__Transfer_Ois__nat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))
% 80.53/80.76  (assume a1623 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x) (=> (tptp.c_Nat__Transfer_Ois__nat V_y) (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x) V_y))))))
% 80.53/80.76  (assume a1624 (forall ((V_z $$unsorted)) (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_z))))
% 80.53/80.76  (assume a1625 (tptp.c_Nat__Transfer_Ois__nat (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))
% 80.53/80.76  (assume a1626 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x) (=> (tptp.c_Nat__Transfer_Ois__nat V_y) (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_x) V_y))))))
% 80.53/80.76  (assume a1627 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x) (=> (tptp.c_Nat__Transfer_Ois__nat V_y) (tptp.c_Nat__Transfer_Ois__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_x V_y))))))
% 80.53/80.76  (assume a1628 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x) (=> (tptp.c_Nat__Transfer_Ois__nat V_y) (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_x) V_y))))))
% 80.53/80.76  (assume a1629 (forall ((V_n $$unsorted) (V_x $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x) (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_x) V_n)))))
% 80.53/80.76  (assume a1630 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x) (=> (tptp.c_Nat__Transfer_Ois__nat V_y) (tptp.c_Nat__Transfer_Ois__nat (tptp.c_Nat__Transfer_Otsub V_x V_y))))))
% 80.53/80.76  (assume a1631 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a1632 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Oring__char__0 T_b) (= (= (tptp.c_Groups_Ozero__class_Ozero T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2)) (= V_z_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1633 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Int_Oring__char__0 T_b) (= (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_z_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1634 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_w_2)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_w_2) V_z_2))))))
% 80.53/80.76  (assume a1635 (forall ((V_z_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_w_2)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_w_2) V_z_2))))))
% 80.53/80.76  (assume a1636 (forall ((V_z $$unsorted) (V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_w)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_z))))))
% 80.53/80.76  (assume a1637 (forall ((V_v $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_v)))))
% 80.53/80.76  (assume a1638 (forall ((V_z $$unsorted) (V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_w)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_z))))))
% 80.53/80.76  (assume a1639 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.76  (assume a1640 (forall ((V_z $$unsorted) (V_w $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_w)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_z))))))
% 80.53/80.76  (assume a1641 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2))))
% 80.53/80.76  (assume a1642 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_n)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n)))))
% 80.53/80.76  (assume a1643 (forall ((V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_z))))))
% 80.53/80.76  (assume a1644 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2)) (tptp.c_Int_Oring__1__class_OInts T_b))))))
% 80.53/80.76  (assume a1645 (forall ((V_n $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) V_z) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_z)) V_n)))))
% 80.53/80.76  (assume a1646 (forall ((V_x_2 $$unsorted)) (= (tptp.c_Nat__Transfer_Ois__nat V_x_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x_2)))))
% 80.53/80.76  (assume a1647 (forall ((V_k_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_k_2)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_k_2 V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a1648 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_x_2 V_y_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_y_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a1649 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) V_x_2)))))))
% 80.53/80.76  (assume a1650 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) V_x_2) V_A_2)) (tptp.c_Nat__Transfer_Ois__nat V_x_2)))))
% 80.53/80.76  (assume a1651 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) V_A_2)))))))
% 80.53/80.76  (assume a1652 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) tptp.c_Int_OPls)))
% 80.53/80.76  (assume a1653 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)))))))
% 80.53/80.76  (assume a1654 (forall ((T_a $$unsorted)) (=> (tptp.class_Int_Onumber__ring T_a) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)))))
% 80.53/80.76  (assume a1655 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2))))))
% 80.53/80.76  (assume a1656 (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))
% 80.53/80.76  (assume a1657 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1658 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2))))))
% 80.53/80.76  (assume a1659 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_z_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1660 (forall ((V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_z_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z_2))))))
% 80.53/80.76  (assume a1661 (forall ((V_N_2 $$unsorted) (V_M_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_M_2) V_N_2)) (=> (not (= V_M_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_N_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_M_2)))))))))
% 80.53/80.76  (assume a1662 (forall ((V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_z)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) (tptp.hAPP tptp.c_Int_Onat V_z)) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_a) V_z))))))
% 80.53/80.76  (assume a1663 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2))))))))
% 80.53/80.76  (assume a1664 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_B_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2))))))))
% 80.53/80.76  (assume a1665 (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))
% 80.53/80.76  (assume a1666 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)))))))))
% 80.53/80.76  (assume a1667 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))))
% 80.53/80.76  (assume a1668 (forall ((V_n $$unsorted) (V_i $$unsorted)) (and (=> (= V_i (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (= (tptp.c_Code__Numeral_Onat__of__aux V_i V_n) V_n)) (=> (not (= V_i (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (= (tptp.c_Code__Numeral_Onat__of__aux V_i V_n) (tptp.c_Code__Numeral_Onat__of__aux (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.hAPP tptp.c_Nat_OSuc V_n)))))))
% 80.53/80.76  (assume a1669 (forall ((V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_k_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (=> (not (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_k_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_k_2))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun T_b T_b)) (tptp.tc_fun tptp.tc_Int_Oint T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b T_b) T_b) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun T_b T_b)) (tptp.tc_fun tptp.tc_Int_Oint T_b)) tptp.tc_Int_Oint) (tptp.c_COMBB (tptp.tc_fun T_b T_b) T_b tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun (tptp.tc_fun T_b T_b) T_b) tptp.tc_Int_Oint) (tptp.c_HOL_OLet T_b T_b)) (tptp.c_Int_Oring__1__class_Oof__int T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b T_b)) tptp.tc_Int_Oint) (tptp.c_COMBS T_b T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b (tptp.tc_fun T_b T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b (tptp.tc_fun T_b T_b))) tptp.tc_Int_Oint) (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) tptp.tc_Int_Oint) (tptp.c_If T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b T_b) (tptp.c_Groups_Oplus__class_Oplus T_b)) (tptp.c_COMBI T_b))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_b) (tptp.c_Groups_Oplus__class_Oplus T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b T_b) (tptp.c_Groups_Oplus__class_Oplus T_b)) (tptp.c_COMBI T_b)))) (tptp.c_Groups_Oone__class_Oone T_b))))) (tptp.c_Divides_Odivmod__int V_k_2 (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))))))))))
% 80.53/80.76  (assume a1670 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) V_A_2))))))))
% 80.53/80.76  (assume a1671 (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.76  (assume a1672 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))))
% 80.53/80.76  (assume a1673 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_b_2)) V_c_2)) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP V_b_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_c) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_S_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_b_2)) V_c_2)) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_c) V_c_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_S_2)))))))))
% 80.53/80.76  (assume a1674 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat V_l_2 V_u_2)))))
% 80.53/80.76  (assume a1675 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__mult T_b) (tptp.class_Rings_Oring__1 T_b)) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c tptp.tc_Int_Oint) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint T_b T_c) (tptp.c_Int_Oring__1__class_Oof__int T_b)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a1676 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__mult T_b) (tptp.class_Rings_Osemiring__1 T_b)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c tptp.tc_Nat_Onat) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b T_c) (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a1677 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Nat_Onat) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint T_b) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_f_2)) V_A_2))))
% 80.53/80.76  (assume a1678 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Nat_Onat) V_f_2) V_A_2) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint T_b) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a1679 (forall ((V_A_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Otimes__class_Otimes T_b)) V_f_2)) V_g_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) V_g_2) V_A_2))))))
% 80.53/80.76  (assume a1680 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) (tptp.hAPP (tptp.c_COMBK T_b T_c) (tptp.c_Groups_Oone__class_Oone T_b))) V_A_2) (tptp.c_Groups_Oone__class_Oone T_b)))))
% 80.53/80.76  (assume a1681 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_b) (tptp.class_Groups_Ocomm__monoid__mult T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat T_b) V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Int_Oint) V_f_2) tptp.c_Int_Onat)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2))))))
% 80.53/80.76  (assume a1682 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2) (tptp.c_Groups_Ozero__class_Ozero T_c)))))))
% 80.53/80.76  (assume a1683 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Rings_Ocomm__semiring__1 T_c) (tptp.class_Rings_Ono__zero__divisors T_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2) (tptp.c_Groups_Ozero__class_Ozero T_c)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c)))))))))
% 80.53/80.76  (assume a1684 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) V_f_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Groups_Oone__class_Oone T_b)))))
% 80.53/80.76  (assume a1685 (forall ((V_g_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) V_g_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Groups_Oone__class_Oone T_b)))))
% 80.53/80.76  (assume a1686 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2) (tptp.c_Groups_Oone__class_Oone T_c))))))
% 80.53/80.76  (assume a1687 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2) (tptp.c_Groups_Oone__class_Oone T_c))))))
% 80.53/80.76  (assume a1688 (forall ((V_f_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Nat_Onat) V_f_2) V_F_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_F_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))))
% 80.53/80.76  (assume a1689 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_b) (tptp.class_Groups_Ocomm__monoid__mult T_b)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint T_b) V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint T_b tptp.tc_Nat_Onat) V_f_2) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint))) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)))))))
% 80.53/80.76  (assume a1690 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2)) V_h_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_h_2) V_A_2)))))))
% 80.53/80.76  (assume a1691 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Nat_Onat) V_f_2) V_S_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP V_f_2 B_x)))))))))
% 80.53/80.76  (assume a1692 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP tptp.c_fequal V_a_2))) V_b_2)) (tptp.c_Groups_Oone__class_Oone T_c))) V_S_2) (tptp.hAPP V_b_2 V_a_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP tptp.c_fequal V_a_2))) V_b_2)) (tptp.c_Groups_Oone__class_Oone T_c))) V_S_2) (tptp.c_Groups_Oone__class_Oone T_c))))))))
% 80.53/80.76  (assume a1693 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_b_2)) (tptp.c_Groups_Oone__class_Oone T_c))) V_S_2) (tptp.hAPP V_b_2 V_a_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_b_2)) (tptp.c_Groups_Oone__class_Oone T_c))) V_S_2) (tptp.c_Groups_Oone__class_Oone T_c))))))))
% 80.53/80.76  (assume a1694 (forall ((V_y_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.c_COMBK T_c T_b) V_y_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_c) V_y_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)))))))
% 80.53/80.76  (assume a1695 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)))))))
% 80.53/80.76  (assume a1696 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2))))
% 80.53/80.76  (assume a1697 (forall ((V_f_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2))))))))
% 80.53/80.76  (assume a1698 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2))))))))
% 80.53/80.76  (assume a1699 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_A_2))))))
% 80.53/80.76  (assume a1700 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_A_2))))))
% 80.53/80.76  (assume a1701 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2) (tptp.c_Groups_Oone__class_Oone T_c)))))))
% 80.53/80.76  (assume a1702 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))
% 80.53/80.76  (assume a1703 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat V_l_2 V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_u_2) (tptp.hAPP tptp.c_Nat_OSuc V_l_2)))))
% 80.53/80.76  (assume a1704 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2))))))))
% 80.53/80.76  (assume a1705 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_B_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2))))))))
% 80.53/80.76  (assume a1706 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))
% 80.53/80.76  (assume a1707 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)))))))))
% 80.53/80.76  (assume a1708 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))))
% 80.53/80.76  (assume a1709 (forall ((V_code__numeral $$unsorted)) (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__size V_code__numeral)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.76  (assume a1710 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) V_A_2))))))))
% 80.53/80.76  (assume a1711 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (tptp.c_Divides_Odivmod__int__rel V_a_2 V_b_2) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint) (tptp.hAPP tptp.c_fequal V_a_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b_2)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) (tptp.hAPP tptp.c_fimplies (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)) V_b_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint) (tptp.hAPP tptp.c_fimplies (tptp.hAPP tptp.c_fNot (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))))))
% 80.53/80.76  (assume a1712 (= tptp.c_Nitpick_OFrac (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) tptp.tc_Int_Oint) (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fequal)) tptp.c_Nitpick_Oint__gcd))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1713 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Fields_Ofield T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= (tptp.hAPP V_f_2 V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_c))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2)) (tptp.hAPP V_f_2 V_a_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2)))))))))
% 80.53/80.76  (assume a1714 (forall ((V_b_2 $$unsorted)) (= (tptp.c_Divides_Oadjust V_b_2) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_If (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) V_b_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) V_b_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))))
% 80.53/80.76  (assume a1715 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring__inverse__zero T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a1716 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a1717 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_S_2)) (= V_R_2 V_S_2))))
% 80.53/80.76  (assume a1718 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a1719 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_S_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))
% 80.53/80.76  (assume a1720 (forall ((V_b $$unsorted)) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))))
% 80.53/80.76  (assume a1721 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_r (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1722 (forall ((V_r_H $$unsorted) (V_q_H $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q_H) V_r_H))) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_q V_q_H))))))
% 80.53/80.76  (assume a1723 (forall ((V_r_H $$unsorted) (V_q_H $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q_H) V_r_H))) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_r V_r_H))))))
% 80.53/80.76  (assume a1724 (forall ((V_code__numeral_H_2 $$unsorted) (V_code__numeral_2 $$unsorted)) (= (= (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral_2) (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral_H_2)) (= V_code__numeral_2 V_code__numeral_H_2))))
% 80.53/80.76  (assume a1725 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c))))))
% 80.53/80.76  (assume a1726 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) V_c)))))
% 80.53/80.76  (assume a1727 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c))))))
% 80.53/80.76  (assume a1728 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a))))
% 80.53/80.76  (assume a1729 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_b)))))
% 80.53/80.76  (assume a1730 (forall ((V_n $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n))))))
% 80.53/80.76  (assume a1731 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_q (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1732 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) V_r)))))
% 80.53/80.76  (assume a1733 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) V_q)))))
% 80.53/80.76  (assume a1734 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b)))))))
% 80.53/80.76  (assume a1735 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_b) (=> (not (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (= V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2) V_b_2))))))
% 80.53/80.76  (assume a1736 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_b) (=> (not (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2) V_a_2) (= V_b_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)))))))
% 80.53/80.76  (assume a1737 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (= V_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c) V_a))))))
% 80.53/80.76  (assume a1738 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c) V_b) (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c)))))))
% 80.53/80.76  (assume a1739 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring__inverse__zero T_a) (and (=> (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a)))))))
% 80.53/80.76  (assume a1740 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_a) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.76  (assume a1741 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_b) (=> (not (= V_b_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_a_2) V_b_2) (tptp.c_Groups_Oone__class_Oone T_b)) (= V_a_2 V_b_2))))))
% 80.53/80.76  (assume a1742 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b))))))
% 80.53/80.76  (assume a1743 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odivision__ring T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b)))))))
% 80.53/80.76  (assume a1744 (forall ((V_n $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_b) V_n)))))))
% 80.53/80.76  (assume a1745 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)) V_n)))))
% 80.53/80.76  (assume a1746 (forall ((V_code__numeral_H_1 $$unsorted)) (not (= (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral_H_1) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)))))
% 80.53/80.76  (assume a1747 (forall ((V_code__numeral_H $$unsorted)) (not (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral_H)))))
% 80.53/80.76  (assume a1748 (forall ((V_br $$unsorted) (V_bq $$unsorted) (V_b $$unsorted) (V_ar $$unsorted) (V_aq $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_aq) V_ar))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_b V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_bq) V_br))) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_aq) V_bq)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_ar) V_br)) V_c))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_ar) V_br) V_c)))))))))
% 80.53/80.76  (assume a1749 (forall ((V_r_2 $$unsorted) (V_q_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q_2) V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a_2) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal V_r_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_q_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_q_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP tptp.c_fequal V_r_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_b_2) V_r_2))))))))
% 80.53/80.76  (assume a1750 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Rings_Oinverse__class_Odivide T_c)) V_f_2)) V_g_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2)))))))
% 80.53/80.76  (assume a1751 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_q)) V_r)) (=> (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_r)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_r) V_b)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) V_r)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_r) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r)))))))
% 80.53/80.76  (assume a1752 (forall ((V_w_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Ofield__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (= V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (and (=> (not (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_b_2)) (=> (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.76  (assume a1753 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Ofield__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) (and (=> (not (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2) V_b_2)) (=> (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.76  (assume a1754 (forall ((V_w_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Ofield__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (and (=> (not (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= V_b_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2))) (=> (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.76  (assume a1755 (forall ((V_a_2 $$unsorted) (V_w_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Ofield__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_a_2) (and (=> (not (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= V_b_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))) (=> (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.76  (assume a1756 (forall ((V_a $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_b V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_b) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_r)) V_c))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_a) V_r) V_c))))))))
% 80.53/80.76  (assume a1757 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Fields_Ofield__inverse__zero T_a) (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OPls)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a1758 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Fields_Ofield T_a) (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 tptp.c_Int_OPls))) V_a))))
% 80.53/80.76  (assume a1759 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Fields_Ofield T_a) (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit1 tptp.c_Int_OPls))) V_x))))
% 80.53/80.76  (assume a1760 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Fields_Ofield__inverse__zero T_a) (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)))))
% 80.53/80.76  (assume a1761 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.c_Divides_Odivmod__int V_a V_b))))))
% 80.53/80.76  (assume a1762 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r))) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_q) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_q V_c))) V_r)))))))))
% 80.53/80.76  (assume a1763 (forall ((V_q $$unsorted) (V_p $$unsorted)) (= (tptp.c_Divides_Odivmod__int V_p V_q) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_p) V_q)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_p V_q)))))
% 80.53/80.76  (assume a1764 (forall ((V_a_2 $$unsorted) (V_w_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) V_a_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))))))
% 80.53/80.76  (assume a1765 (forall ((V_w_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))))))))))
% 80.53/80.76  (assume a1766 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))))
% 80.53/80.76  (assume a1767 (forall ((V_w_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))))
% 80.53/80.76  (assume a1768 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))))
% 80.53/80.76  (assume a1769 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Fields_Ofield__inverse__zero T_a) (tptp.class_Int_Onumber__ring T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) V_x) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_x))))))
% 80.53/80.76  (assume a1770 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Code__Numeral_OSuc__code__numeral V_n)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) V_n)))
% 80.53/80.76  (assume a1771 (forall ((V_w_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))))
% 80.53/80.76  (assume a1772 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_w_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))))
% 80.53/80.76  (assume a1773 (forall ((V_w_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))))))))))
% 80.53/80.76  (assume a1774 (forall ((V_a_2 $$unsorted) (V_w_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) V_a_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2))) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_w_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))))))
% 80.53/80.76  (assume a1775 (forall ((V_r $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_a) (tptp.class_Int_Onumber__ring T_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_r)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_r) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))))
% 80.53/80.76  (assume a1776 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (tptp.class_Int_Onumber__ring T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_r_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_r_2))))))
% 80.53/80.76  (assume a1777 (forall ((V_r_2 $$unsorted) (V_q_2 $$unsorted) (V_b_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Divides_Oadjust V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q_2) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_r_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_If (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_q_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_q_2)) V_r_2))))))
% 80.53/80.76  (assume a1778 (forall ((V_f_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_d) (tptp.hAPP (tptp.hAPP V_f_2 V_a_2) V_b_2)) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_b T_c) T_d (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) V_f_2)) V_A_2))))))
% 80.53/80.76  (assume a1779 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Nitpick_Onorm__frac V_a_2 V_b_2) (tptp.c_Nitpick_Onorm__frac (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (and (=> (or (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= V_b_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Nitpick_Onorm__frac V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (=> (not (or (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= V_b_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.c_Nitpick_Onorm__frac V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_2))) (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_b_2))))))))))
% 80.53/80.76  (assume a1780 (forall ((V_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (= (tptp.c_Divides_OnegDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))))) (= (tptp.c_Divides_OnegDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Divides_Oadjust (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.c_Divides_OnegDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))))))))))
% 80.53/80.76  (assume a1781 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f1_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_f1_2 V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_f1_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2))))))
% 80.53/80.76  (assume a1782 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_f_2 V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2))))))
% 80.53/80.76  (assume a1783 (forall ((T_d $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_z_2) (tptp.hAPP (tptp.hAPP V_c_2 V_a_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_a_2) V_b_2)))))))
% 80.53/80.76  (assume a1784 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_x_2) V_y_2)))))
% 80.53/80.76  (assume a1785 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_R_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R_2 V_a_2) V_b_2) V_c_2)))))
% 80.53/80.76  (assume a1786 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_Pa_2) V_Q_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q_2 V_x_2) V_y_2))))))
% 80.53/80.76  (assume a1787 (forall ((V_Q_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_Pa_2) V_Q_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Q_2 V_x_2) V_y_2))))))
% 80.53/80.76  (assume a1788 (forall ((V_B_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a1789 (forall ((V_b_H $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_a_H) V_b_H)) (not (=> (= V_a V_a_H) (not (= V_b V_b_H)))))))
% 80.53/80.76  (assume a1790 (forall ((V_b_H_2 $$unsorted) (V_a_H_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_H_2) V_b_H_2)) (and (= V_a_2 V_a_H_2) (= V_b_2 V_b_H_2)))))
% 80.53/80.76  (assume a1791 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_Pa_2 $$unsorted)) (= (forall ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (forall ((B_a $$unsorted) (B_b $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_a) B_b)))))))
% 80.53/80.76  (assume a1792 (forall ((V_c_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_q_2 $$unsorted) (V_p_2 $$unsorted)) (=> (= V_p_2 V_q_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) V_c_2) V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) V_c_2) V_q_2)))))
% 80.53/80.76  (assume a1793 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.c_Divides_OnegDivAlg V_a V_b)))))))
% 80.53/80.76  (assume a1794 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_a_2) V_b_2))))
% 80.53/80.76  (assume a1795 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_f1_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP V_f1_2 V_a_2) V_b_2))))
% 80.53/80.76  (assume a1796 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_f_2 V_a_2) V_b_2)))))
% 80.53/80.76  (assume a1797 (forall ((V_l $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_l)) (= (tptp.c_Divides_OnegDivAlg V_k V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_k) V_l)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_k V_l)))))))
% 80.53/80.76  (assume a1798 (forall ((V_b $$unsorted)) (= (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a1799 (forall ((V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c T_d) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) T_d T_c) V_f_2)) (tptp.c_Product__Type_OPair T_b T_c))) V_f_2)))
% 80.53/80.76  (assume a1800 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_HOL_OThe (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP tptp.c_fequal V_x_2)))) (tptp.hAPP tptp.c_fequal V_y_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2))))
% 80.53/80.76  (assume a1801 (forall ((V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_HOL_OThe (tptp.tc_prod T_b T_c) V_Pa_2) (tptp.c_HOL_OThe (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool T_c) V_Pa_2)) (tptp.c_Product__Type_OPair T_b T_c)))))))
% 80.53/80.76  (assume a1802 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.tc_prod T_b T_c) (tptp.tc_prod T_c T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.c_COMBC T_c T_b (tptp.tc_prod T_c T_b)) (tptp.c_Product__Type_OPair T_c T_b))) V_A_2)))
% 80.53/80.76  (assume a1803 (forall ((V_p_2 $$unsorted) (V_g_2 $$unsorted) (T_f $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_e T_f (tptp.tc_prod T_c T_d)) V_g_2) V_p_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_e T_f T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_f (tptp.tc_prod T_c T_d)) (tptp.tc_fun T_f T_b) T_e) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_d) T_b T_f) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_f_2))) V_g_2)) V_p_2))))
% 80.53/80.76  (assume a1804 (forall ((V_b $$unsorted) (V_a $$unsorted)) (and (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.c_Divides_OnegDivAlg V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b)))) (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (= (tptp.c_Divides_OnegDivAlg V_a V_b) (tptp.hAPP (tptp.c_Divides_Oadjust V_b) (tptp.c_Divides_OnegDivAlg V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b))))))))
% 80.53/80.76  (assume a1805 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b))) (= (tptp.c_Divides_OnegDivAlg V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a) V_b)))) (= (tptp.c_Divides_OnegDivAlg V_a V_b) (tptp.hAPP (tptp.c_Divides_Oadjust V_b) (tptp.c_Divides_OnegDivAlg V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b)))))))))
% 80.53/80.76  (assume a1806 (forall ((V_w $$unsorted) (V_v $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))))) (= (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Divides_Oadjust (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))))))))))
% 80.53/80.76  (assume a1807 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel T_b T_c V_R_2) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) V_R_2)))))
% 80.53/80.76  (assume a1808 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Code__Numeral_Odiv__mod__code__numeral V_n V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral) V_n) V_m)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral V_n V_m)))))
% 80.53/80.76  (assume a1809 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_b)))))))))
% 80.53/80.76  (assume a1810 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_b)))))))))
% 80.53/80.76  (assume a1811 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2)))))))
% 80.53/80.76  (assume a1812 (forall ((V_w $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_z) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_w))))))
% 80.53/80.76  (assume a1813 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)))))
% 80.53/80.76  (assume a1814 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_b))))))
% 80.53/80.76  (assume a1815 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_c))))))))
% 80.53/80.76  (assume a1816 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c))))))))
% 80.53/80.76  (assume a1817 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_a_2) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_b_2))))))))
% 80.53/80.76  (assume a1818 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_a_2) V_b_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))
% 80.53/80.76  (assume a1819 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c))))))))
% 80.53/80.76  (assume a1820 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_b) V_c))))))))
% 80.53/80.76  (assume a1821 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y))))))))
% 80.53/80.76  (assume a1822 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.76  (assume a1823 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.76  (assume a1824 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y))))))))
% 80.53/80.76  (assume a1825 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_a_2) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_b_2))))))))
% 80.53/80.76  (assume a1826 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_a_2) V_b_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))
% 80.53/80.76  (assume a1827 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_b) (= (= V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) (and (=> (not (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2) V_b_2)) (=> (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.76  (assume a1828 (forall ((V_a_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2) V_a_2) (and (=> (not (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= V_b_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2))) (=> (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))))
% 80.53/80.76  (assume a1829 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b))))))
% 80.53/80.76  (assume a1830 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (=> (not (= V_c (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b))))))
% 80.53/80.76  (assume a1831 (forall ((V_w_2 $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Ofield T_b) (=> (not (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (=> (not (= V_z_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_x_2) V_y_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_w_2) V_z_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_x_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_w_2) V_y_2))))))))
% 80.53/80.76  (assume a1832 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y))))))))
% 80.53/80.76  (assume a1833 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.76  (assume a1834 (forall ((V_z $$unsorted) (V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_w)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_w) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_y) V_w))))))))))
% 80.53/80.76  (assume a1835 (forall ((V_z $$unsorted) (V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_w)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_w) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_y) V_w))))))))))
% 80.53/80.76  (assume a1836 (forall ((V_z $$unsorted) (V_w $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_w)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_w) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_y) V_w))))))))))
% 80.53/80.76  (assume a1837 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_y) (tptp.c_Groups_Ozero__class_Ozero T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.c_Groups_Ozero__class_Ozero T_a))))))))
% 80.53/80.76  (assume a1838 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y))))))))
% 80.53/80.76  (assume a1839 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_c) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_b)))))))))
% 80.53/80.76  (assume a1840 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_c) V_b)))))))))
% 80.53/80.76  (assume a1841 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2)))))))
% 80.53/80.76  (assume a1842 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2))))))))
% 80.53/80.76  (assume a1843 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y)) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y))))))))
% 80.53/80.76  (assume a1844 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) V_z)))))))
% 80.53/80.76  (assume a1845 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2))))))))
% 80.53/80.76  (assume a1846 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2)))))))
% 80.53/80.76  (assume a1847 (forall ((V_a_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) V_a_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))))))
% 80.53/80.76  (assume a1848 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))))
% 80.53/80.76  (assume a1849 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (=> (not (= V_y (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y))) V_y))))))
% 80.53/80.76  (assume a1850 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_z (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_x)) V_y)) V_z))))))
% 80.53/80.76  (assume a1851 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield__inverse__zero T_a) (=> (not (= V_y (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y))) V_y))))))
% 80.53/80.76  (assume a1852 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_z (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_z)) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y))) V_z))))))
% 80.53/80.76  (assume a1853 (forall ((V_w $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_y (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (not (= V_z (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_w) V_y))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_z))))))))
% 80.53/80.76  (assume a1854 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_z (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_x)) V_y)) V_z))))))
% 80.53/80.76  (assume a1855 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_z (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_z)) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y))) V_z))))))
% 80.53/80.76  (assume a1856 (forall ((V_w $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Ofield T_a) (=> (not (= V_y (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (not (= V_z (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_w) V_y))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_z))))))))
% 80.53/80.76  (assume a1857 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Oone__class_Oone T_a)))) V_b))))))
% 80.53/80.76  (assume a1858 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Oone__class_Oone T_a)))))))))
% 80.53/80.76  (assume a1859 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))))))
% 80.53/80.76  (assume a1860 (forall ((V_a_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) V_a_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))))))
% 80.53/80.76  (assume a1861 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) V_b_2)))))))
% 80.53/80.76  (assume a1862 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_c_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2)) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2))))))))
% 80.53/80.76  (assume a1863 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)) V_z)))))))
% 80.53/80.76  (assume a1864 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_z) V_y)) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y))))))))
% 80.53/80.76  (assume a1865 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) V_b_2) V_c_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2))))))))
% 80.53/80.76  (assume a1866 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Orefl_H T_b V_r_2) (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) V_r_2))))))
% 80.53/80.76  (assume a1867 (forall ((V_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))) (= (tptp.c_Divides_OposDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (= (tptp.c_Divides_OposDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Divides_Oadjust (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.c_Divides_OposDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))))))))))
% 80.53/80.76  (assume a1868 (forall ((V_b $$unsorted) (V_a $$unsorted)) (and (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.c_Divides_OposDivAlg V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a))) (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (= (tptp.c_Divides_OposDivAlg V_a V_b) (tptp.hAPP (tptp.c_Divides_Oadjust V_b) (tptp.c_Divides_OposDivAlg V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b))))))))
% 80.53/80.76  (assume a1869 (forall ((V_a $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) V_b)) (= (tptp.c_Divides_OposDivAlg V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) V_b))) (= (tptp.c_Divides_OposDivAlg V_a V_b) (tptp.hAPP (tptp.c_Divides_Oadjust V_b) (tptp.c_Divides_OposDivAlg V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b)))))))))
% 80.53/80.76  (assume a1870 (forall ((V_w $$unsorted) (V_v $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))) (= (tptp.c_Divides_OposDivAlg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)))) (= (tptp.c_Divides_OposDivAlg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.hAPP (tptp.c_Divides_Oadjust (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v)) (tptp.c_Divides_OposDivAlg (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_v))))))))))
% 80.53/80.76  (assume a1871 (forall ((V_b $$unsorted)) (= (tptp.c_Divides_OposDivAlg (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))
% 80.53/80.76  (assume a1872 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.c_Divides_OposDivAlg V_a V_b)))))))
% 80.53/80.76  (assume a1873 (forall ((V_l $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_l)) (= (tptp.c_Divides_OposDivAlg V_k V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_k) V_l)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_k V_l)))))))
% 80.53/80.76  (assume a1874 (forall ((V_b $$unsorted) (V_a $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.c_Divides_Odivmod__int V_a V_b) (tptp.c_Divides_OposDivAlg V_a V_b))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b))) (and (=> (= V_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odivmod__int V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (=> (not (= V_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odivmod__int V_a V_b) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b))))))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.c_Divides_Odivmod__int V_a V_b) (tptp.c_Divides_OnegDivAlg V_a V_b))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b))) (= (tptp.c_Divides_Odivmod__int V_a V_b) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b))))))))))
% 80.53/80.76  (assume a1875 (forall ((V_m $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (= (tptp.c_Divides_Odivmod__nat V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) V_n))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n) V_n)))))))
% 80.53/80.76  (assume a1876 (forall ((V_code__numeral $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral) V_code__numeral)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.76  (assume a1877 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Divides_OnegDivAlg__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a_2) V_b_2))) (and (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.c_Divides_OnegDivAlg V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) tptp.c_Int_OMin)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a_2) V_b_2)))) (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (= (tptp.c_Divides_OnegDivAlg V_a_2 V_b_2) (tptp.hAPP (tptp.c_Divides_Oadjust V_b_2) (tptp.c_Divides_OnegDivAlg V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b_2)))))))))
% 80.53/80.76  (assume a1878 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP V_f_2 B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Int_Oint) V_f_2) V_A_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat T_b) tptp.c_Int_Onat) V_f_2)) V_A_2))))))
% 80.53/80.76  (assume a1879 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Odivmod__nat V_m (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m))))
% 80.53/80.76  (assume a1880 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (= (tptp.c_Divides_Odivmod__nat V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)))))
% 80.53/80.76  (assume a1881 (forall ((V_r $$unsorted) (V_q $$unsorted)) (= (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) V_r)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_q) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_r)))))
% 80.53/80.76  (assume a1882 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odivmod__nat V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n)))))
% 80.53/80.76  (assume a1883 (forall ((V_qr $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)) V_qr)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__int__rel V_a V_b) (tptp.hAPP tptp.c_Divides_OnegateSnd V_qr))))))
% 80.53/80.76  (assume a1884 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.76  (assume a1885 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (and (=> (or (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2))) (= (tptp.c_Divides_Odivmod__nat V_m_2 V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m_2))) (=> (not (or (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))) (= (tptp.c_Divides_Odivmod__nat V_m_2 V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_Nat_Onat) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.c_Nat_OSuc)) (tptp.c_Divides_Odivmod__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m_2) V_na_2) V_na_2)))))))
% 80.53/80.76  (assume a1886 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Divides_OposDivAlg__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a_2) V_b_2))) (and (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.c_Divides_OposDivAlg V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a_2))) (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (= (tptp.c_Divides_OposDivAlg V_a_2 V_b_2) (tptp.hAPP (tptp.c_Divides_Oadjust V_b_2) (tptp.c_Divides_OposDivAlg V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_b_2)))))))))
% 80.53/80.76  (assume a1887 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Nitpick_Onorm__frac__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a_2) V_b_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Nitpick_Onorm__frac V_a_2 V_b_2) (tptp.c_Nitpick_Onorm__frac (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (and (=> (or (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= V_b_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Nitpick_Onorm__frac V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))) (=> (not (or (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= V_b_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.c_Nitpick_Onorm__frac V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a_2))) (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_b_2)))))))))))
% 80.53/80.76  (assume a1888 (forall ((V_Pa_2 $$unsorted) (V_a1_2 $$unsorted) (V_a0_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Divides_OnegDivAlg__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a0_2) V_a1_2))) (=> (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Divides_OnegDivAlg__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) B_a) B_b))) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_a) B_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) B_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) B_b))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_a0_2) V_a1_2))))))
% 80.53/80.76  (assume a1889 (forall ((V_R2_2 $$unsorted) (V_R1_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_R1_2) V_R2_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Oaccp T_b V_R2_2)) (tptp.c_Wellfounded_Oaccp T_b V_R1_2))))))
% 80.53/80.76  (assume a1890 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_a V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_q) V_r))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_q) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_b) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_q V_c))) V_r)))))))))
% 80.53/80.76  (assume a1891 (forall ((V_qr_H $$unsorted) (V_qr $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m V_n) V_qr)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m V_n) V_qr_H)) (= V_qr V_qr_H)))))
% 80.53/80.76  (assume a1892 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m V_n) (tptp.c_Divides_Odivmod__nat V_m V_n)))))
% 80.53/80.76  (assume a1893 (forall ((V_qr $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m V_n) V_qr)) (= (tptp.c_Divides_Odivmod__nat V_m V_n) V_qr))))
% 80.53/80.76  (assume a1894 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.c_Divides_Odivmod__nat V_m_2 V_na_2) (tptp.c_HOL_OThe (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Divides_Odivmod__nat__rel V_m_2 V_na_2)))))
% 80.53/80.76  (assume a1895 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_q) V_r))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) V_r))))
% 80.53/80.76  (assume a1896 (forall ((V_r $$unsorted) (V_q $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_q) V_r))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n) V_q))))
% 80.53/80.76  (assume a1897 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) V_a_2))))))
% 80.53/80.76  (assume a1898 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) V_a_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 B_x) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) B_x)))))))
% 80.53/80.76  (assume a1899 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) V_a_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 B_x) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) B_x)))))))
% 80.53/80.76  (assume a1900 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n))))))
% 80.53/80.76  (assume a1901 (forall ((V_br $$unsorted) (V_bq $$unsorted) (V_b $$unsorted) (V_ar $$unsorted) (V_aq $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_a V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_aq) V_ar))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_b V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_bq) V_br))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_a) V_b) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_aq) V_bq)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_ar) V_br)) V_c))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_ar) V_br) V_c)))))))))
% 80.53/80.76  (assume a1902 (forall ((V_a $$unsorted) (V_r $$unsorted) (V_q $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_b V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_q) V_r))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_a) V_b) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_a) V_q)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_a) V_r)) V_c))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_a) V_r) V_c))))))))
% 80.53/80.76  (assume a1903 (forall ((V_Pa_2 $$unsorted) (V_a1_2 $$unsorted) (V_a0_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Divides_OposDivAlg__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a0_2) V_a1_2))) (=> (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Divides_OposDivAlg__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) B_a) B_b))) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_a) B_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) B_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) B_b))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_a0_2) V_a1_2))))))
% 80.53/80.76  (assume a1904 (forall ((V_nat $$unsorted)) (= (tptp.c_Nat_Onat_Onat__size (tptp.hAPP tptp.c_Nat_OSuc V_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Nat_Onat_Onat__size V_nat)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.76  (assume a1905 (forall ((V_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))))))))
% 80.53/80.76  (assume a1906 (forall ((V_f_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_Wellfounded_Omeasure T_b) V_f_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))))))
% 80.53/80.76  (assume a1907 (forall ((V_Pa_2 $$unsorted) (V_a1_2 $$unsorted) (V_a0_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Nitpick_Onorm__frac__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a0_2) V_a1_2))) (=> (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Nitpick_Onorm__frac__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) B_a) B_b))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) B_a)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) B_b)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) B_b))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_a0_2) V_a1_2))))))
% 80.53/80.76  (assume a1908 (forall ((V_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_a) V_x) V_y)) V_a) (= V_y V_a))))
% 80.53/80.76  (assume a1909 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_a) V_a) V_b)) V_b)))
% 80.53/80.76  (assume a1910 (forall ((V_p_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_b) V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_b T_b) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b T_b) T_c) (tptp.c_COMBI T_b))) V_p_2))))
% 80.53/80.76  (assume a1911 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_Odivmod__int V_a V_b)))))
% 80.53/80.76  (assume a1912 (= (tptp.c_Nat_Onat_Onat__size (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.76  (assume a1913 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_OnegDivAlg V_a V_b)))))))
% 80.53/80.76  (assume a1914 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_OposDivAlg V_a V_b)))))))
% 80.53/80.76  (assume a1915 (forall ((V_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_OposDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))))))
% 80.53/80.76  (assume a1916 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)))))))))
% 80.53/80.76  (assume a1917 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint V_a V_b) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)))))))))
% 80.53/80.76  (assume a1918 (forall ((V_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))))))))
% 80.53/80.76  (assume a1919 (forall ((V_R_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Wellfounded_Omlex__prod T_b V_f_2 V_R_2)))))))
% 80.53/80.76  (assume a1920 (forall ((V_R_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Wellfounded_Omlex__prod T_b V_f_2 V_R_2))))))
% 80.53/80.76  (assume a1921 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OposDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)))))))))
% 80.53/80.76  (assume a1922 (forall ((V_nat $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_nat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat) V_nat)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.76  (assume a1923 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat) V_n) V_n)))
% 80.53/80.76  (assume a1924 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_a) V_b)) V_a)))
% 80.53/80.76  (assume a1925 (forall ((V_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x) V_y)) V_a) (= V_x V_a))))
% 80.53/80.76  (assume a1926 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_t_2 $$unsorted) (V_s_2 $$unsorted)) (= (= V_s_2 V_t_2) (and (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) V_s_2) (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) V_t_2)) (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_c) V_s_2) (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_c) V_t_2))))))
% 80.53/80.76  (assume a1927 (forall ((V_q $$unsorted) (V_p $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_a T_b) V_p) (tptp.hAPP (tptp.c_Product__Type_Ofst T_a T_b) V_q)) (=> (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_a T_b) V_p) (tptp.hAPP (tptp.c_Product__Type_Osnd T_a T_b) V_q)) (= V_p V_q)))))
% 80.53/80.76  (assume a1928 (forall ((V_p_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_b) (tptp.c_COMBK T_b T_c)) V_p_2))))
% 80.53/80.76  (assume a1929 (forall ((V_p $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) (tptp.hAPP (tptp.c_Product__Type_Ofst T_a T_b) V_p)) (tptp.hAPP (tptp.c_Product__Type_Osnd T_a T_b) V_p)) V_p)))
% 80.53/80.76  (assume a1930 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_t $$unsorted)) (= V_t (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) (tptp.hAPP (tptp.c_Product__Type_Ofst T_a T_b) V_t)) (tptp.hAPP (tptp.c_Product__Type_Osnd T_a T_b) V_t)))))
% 80.53/80.76  (assume a1931 (forall ((V_p_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_f_2) V_p_2) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_c T_d) V_p_2)) (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_d) V_p_2)))))
% 80.53/80.76  (assume a1932 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_Odivmod__int V_a V_b)))))
% 80.53/80.76  (assume a1933 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_m V_n) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Divides_Odivmod__nat V_m V_n)))))
% 80.53/80.76  (assume a1934 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_prod T_b T_c) T_c T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_e (tptp.tc_fun T_c T_d) (tptp.tc_prod T_b T_c)) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_e (tptp.tc_prod T_b T_c)) V_g_2) (tptp.c_Product__Type_Ofst T_b T_c)))) (tptp.c_Product__Type_Osnd T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_e (tptp.tc_fun T_c T_d) T_b) V_f_2) V_g_2)))))
% 80.53/80.76  (assume a1935 (forall ((V_z_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_Pa_2) V_z_2) (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_c T_d) V_z_2)) (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_d) V_z_2)))))
% 80.53/80.76  (assume a1936 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.76  (assume a1937 (forall ((V_p_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_c_2) V_p_2) (tptp.hAPP (tptp.hAPP V_c_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_c T_d) V_p_2)) (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_d) V_p_2)))))
% 80.53/80.76  (assume a1938 (forall ((V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_HOL_OThe (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_Pa_2)) (tptp.c_HOL_OThe (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_prod T_b T_c) T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_prod T_b T_c)) V_Pa_2) (tptp.c_Product__Type_Ofst T_b T_c))) (tptp.c_Product__Type_Osnd T_b T_c))))))
% 80.53/80.76  (assume a1939 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_OnegDivAlg V_a V_b)))))))
% 80.53/80.76  (assume a1940 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_OposDivAlg V_a V_b)))))))
% 80.53/80.76  (assume a1941 (forall ((V_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_OposDivAlg (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_w)))))))
% 80.53/80.76  (assume a1942 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) V_a) V_b) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Divides_OnegateSnd (tptp.c_Divides_OnegDivAlg (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_b)))))))))
% 80.53/80.76  (assume a1943 (forall ((V_p_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Oprod_Oprod__size T_b T_c V_f_2 V_g_2 V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) V_p_2))) (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_c) V_p_2)))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.76  (assume a1944 (forall ((T_b $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_y_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_x_2) V_y_2))) (tptp.hAPP (tptp.c_Product__Type_Ofst T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_x_2) V_y_2)))))))
% 80.53/80.76  (assume a1945 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_q_2 $$unsorted) (V_Q_2 $$unsorted) (V_p_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_p_2)) (=> (tptp.hBOOL (tptp.hAPP V_Q_2 V_q_2)) (and (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_p_2) V_q_2)))) (tptp.hBOOL (tptp.hAPP V_Q_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_p_2) V_q_2)))))))))
% 80.53/80.76  (assume a1946 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.c_Product__Type_Oprod_Oprod__rec T_c T_d T_b V_f1_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP V_f1_2 V_a_2) V_b_2))))
% 80.53/80.76  (assume a1947 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (V_b_H_2 $$unsorted) (V_a_H_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_H_2) V_b_H_2))) (tptp.c_Wellfounded_Olex__prod T_b T_c V_r_2 V_s_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_a_H_2)) V_r_2)) (and (= V_a_2 V_a_H_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_c) V_b_2) V_b_H_2)) V_s_2)))))))
% 80.53/80.76  (assume a1948 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) V_m) V_n) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Divides_Odivmod__nat V_m V_n)))))
% 80.53/80.76  (assume a1949 (forall ((V_qr_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Divides_Odivmod__nat__rel V_m_2 V_na_2) V_qr_2)) (and (= V_m_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_qr_2)) V_na_2)) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_qr_2))) (=> (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_qr_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_qr_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_qr_2)) V_na_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_qr_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_qr_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))))))
% 80.53/80.76  (assume a1950 (forall ((T_b $$unsorted) (V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_y_H_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_c) V_y_H_2) V_y_2)) (tptp.hAPP V_R_2 V_x_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_H_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2))) (tptp.c_Recdef_Osame__fst T_b T_c V_Pa_2 V_R_2)))))))
% 80.53/80.76  (assume a1951 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.c_Wellfounded_Ofinite__psubset T_b))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2))))))
% 80.53/80.76  (assume a1952 (forall ((V_na_2 $$unsorted) (V_v_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_Int_Oint) (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) tptp.c_Int_Onat)) V_na_2)))))))
% 80.53/80.76  (assume a1953 (forall ((V_v_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_Opred V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_Int_Oint) (tptp.c_If tptp.tc_Nat_Onat)) tptp.c_Nat__Numeral_Oneg)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) V_na_2)) tptp.c_Int_Onat)))))))
% 80.53/80.76  (assume a1954 (forall ((V_t_2 $$unsorted) (V_s_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_s_2) V_t_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_a_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_b_2) V_t_2))) tptp.c_FunDef_Opair__less))))))
% 80.53/80.76  (assume a1955 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_m)) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) V_m) V_n)))))
% 80.53/80.76  (assume a1956 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) V_y_2)) V_z_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_x_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_y_2) V_z_2)))))))
% 80.53/80.76  (assume a1957 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) V_y_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_z_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_z_2) V_y_2)))))))
% 80.53/80.76  (assume a1958 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a1959 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a1960 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_x) V_x))))
% 80.53/80.76  (assume a1961 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_a) V_a))))
% 80.53/80.76  (assume a1962 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_b) V_a)))))
% 80.53/80.76  (assume a1963 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_x)))))
% 80.53/80.76  (assume a1964 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)))))
% 80.53/80.76  (assume a1965 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)))))
% 80.53/80.76  (assume a1966 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_b) V_c))))))
% 80.53/80.76  (assume a1967 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_z))))))
% 80.53/80.76  (assume a1968 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_b) V_c))))))
% 80.53/80.76  (assume a1969 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_z))))))
% 80.53/80.76  (assume a1970 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)))
% 80.53/80.76  (assume a1971 (forall ((V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n) V_n)))
% 80.53/80.76  (assume a1972 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_y) V_z))))))
% 80.53/80.76  (assume a1973 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_y) V_z))))))
% 80.53/80.76  (assume a1974 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) V_y_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_z_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_z_2) V_y_2)))))))
% 80.53/80.76  (assume a1975 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y))))))
% 80.53/80.76  (assume a1976 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y))))))
% 80.53/80.76  (assume a1977 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) V_y_2) V_y_2)))))
% 80.53/80.76  (assume a1978 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) V_y_2)) V_z_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_z_2)))))))
% 80.53/80.76  (assume a1979 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a1980 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a1981 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y) V_y)))))
% 80.53/80.76  (assume a1982 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y) V_x)))))
% 80.53/80.76  (assume a1983 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)) V_x)))))))
% 80.53/80.76  (assume a1984 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_z) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_z)) V_x)))))))
% 80.53/80.76  (assume a1985 (forall ((V_d $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_c) V_d))))))))
% 80.53/80.76  (assume a1986 (forall ((V_x $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_a) V_b)) V_x)) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_x)))))))))
% 80.53/80.76  (assume a1987 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_z) V_x))))))
% 80.53/80.76  (assume a1988 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_z) V_x))))))
% 80.53/80.76  (assume a1989 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_z))))))
% 80.53/80.76  (assume a1990 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_z))))))
% 80.53/80.76  (assume a1991 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) V_x))))
% 80.53/80.76  (assume a1992 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) V_x))))
% 80.53/80.76  (assume a1993 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)))))
% 80.53/80.76  (assume a1994 (forall ((V_v $$unsorted) (V_u $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Int_Onumber T_b) (tptp.class_Orderings_Oord T_b)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_v)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_u)))))))
% 80.53/80.76  (assume a1995 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_y) V_z))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_z)))))))
% 80.53/80.76  (assume a1996 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_z))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_y) V_z)))))))
% 80.53/80.76  (assume a1997 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y))))))
% 80.53/80.76  (assume a1998 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y))))))
% 80.53/80.76  (assume a1999 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) V_m)) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) V_n) V_m))))
% 80.53/80.76  (assume a2000 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) V_na_2)) V_m_2))))
% 80.53/80.76  (assume a2001 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_m_2) (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc) (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) V_na_2)) V_m_2))))
% 80.53/80.76  (assume a2002 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (= (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Orderings_Oord_Omax T_b (tptp.c_Orderings_Oord__class_Oless__eq T_b))))))
% 80.53/80.76  (assume a2003 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Orderings_Oord_Omin T_b (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless__eq T_b))) (tptp.c_Orderings_Oord__class_Omax T_b)))))
% 80.53/80.76  (assume a2004 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) V_a_2))))))
% 80.53/80.76  (assume a2005 (forall ((V_t_2 $$unsorted) (V_s_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_a_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_b_2) V_t_2))) tptp.c_FunDef_Opair__less)))))
% 80.53/80.76  (assume a2006 (forall ((V_t_2 $$unsorted) (V_s_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_s_2) V_t_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_a_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_b_2) V_t_2))) tptp.c_FunDef_Opair__leq))))))
% 80.53/80.76  (assume a2007 (forall ((V_X_2 $$unsorted) (V_x_2 $$unsorted) (V_Y_2 $$unsorted) (V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_y_2) V_Y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_y_2)) tptp.c_FunDef_Opair__less)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_X_2) V_Y_2)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_X_2)) V_Y_2)) tptp.c_FunDef_Omax__strict)))))))
% 80.53/80.76  (assume a2008 (forall ((V_YS_2 $$unsorted) (V_y_2 $$unsorted) (V_XS_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_XS_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_y_2)) tptp.c_FunDef_Opair__less)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_XS_2) V_YS_2)) tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_XS_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_y_2) V_YS_2))) tptp.c_FunDef_Omin__strict)))))))
% 80.53/80.76  (assume a2009 (forall ((V_t_2 $$unsorted) (V_s_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_a_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_b_2) V_t_2))) tptp.c_FunDef_Opair__leq)))))
% 80.53/80.76  (assume a2010 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))))
% 80.53/80.76  (assume a2011 (forall ((V_Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_Y_2)) (=> (not (= V_Y_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) V_Y_2)) tptp.c_FunDef_Omax__strict))))))
% 80.53/80.76  (assume a2012 (forall ((V_X_2 $$unsorted)) (=> (not (= V_X_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_X_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))) tptp.c_FunDef_Omin__strict)))))
% 80.53/80.76  (assume a2013 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2))))
% 80.53/80.76  (assume a2014 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2))))))))
% 80.53/80.76  (assume a2015 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)) V_A_2)))))))
% 80.53/80.76  (assume a2016 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)))))))
% 80.53/80.76  (assume a2017 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_A_2))))))
% 80.53/80.76  (assume a2018 (forall ((V_N_2 $$unsorted) (V_M_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_M_2) V_N_2)) (=> (not (= V_M_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_M_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_N_2)))))))))
% 80.53/80.76  (assume a2019 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2))))))))
% 80.53/80.76  (assume a2020 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_B_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2))))))))
% 80.53/80.76  (assume a2021 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)))))))))
% 80.53/80.76  (assume a2022 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))))
% 80.53/80.76  (assume a2023 (forall ((V_S_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (not (= V_S_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_S_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) V_S_2))))))))
% 80.53/80.76  (assume a2024 (forall ((V_S_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__group__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (not (= V_S_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_S_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) V_S_2))))))))
% 80.53/80.76  (assume a2025 (forall ((V_YS_2 $$unsorted) (V_y_2 $$unsorted) (V_XS_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_XS_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_y_2)) tptp.c_FunDef_Opair__leq)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_XS_2) V_YS_2)) tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_XS_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_y_2) V_YS_2))) tptp.c_FunDef_Omin__weak)))))))
% 80.53/80.76  (assume a2026 (forall ((V_XS_2 $$unsorted) (V_x_2 $$unsorted) (V_YS_2 $$unsorted) (V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_y_2) V_YS_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_y_2)) tptp.c_FunDef_Opair__leq)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_XS_2) V_YS_2)) tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_XS_2)) V_YS_2)) tptp.c_FunDef_Omax__weak)))))))
% 80.53/80.76  (assume a2027 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)) V_A_2))))))))
% 80.53/80.76  (assume a2028 (forall ((V_X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_X_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) V_X_2)) tptp.c_FunDef_Omax__weak)))))
% 80.53/80.76  (assume a2029 (forall ((V_X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_X_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))) tptp.c_FunDef_Omin__weak))))
% 80.53/80.76  (assume a2030 (tptp.c_FunDef_Oreduction__pair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak)))
% 80.53/80.76  (assume a2031 (tptp.c_FunDef_Oreduction__pair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak)))
% 80.53/80.76  (assume a2032 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_FunDef_Opair__less)))
% 80.53/80.76  (assume a2033 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) tptp.c_Wellfounded_Oless__than)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x_2) V_y_2)))))
% 80.53/80.76  (assume a2034 (forall ((V_v_2 $$unsorted) (V_u_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_u_2) V_v_2))) tptp.c_Int_Ointrel)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_x_2) V_v_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_u_2) V_y_2)))))
% 80.53/80.76  (assume a2035 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than)))
% 80.53/80.76  (assume a2036 (forall ((V_R_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Omlex__prod T_b V_f_2 V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image (tptp.tc_prod tptp.tc_Nat_Onat T_b) T_b) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat T_b tptp.c_Wellfounded_Oless__than V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b (tptp.tc_prod tptp.tc_Nat_Onat T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun T_b (tptp.tc_prod tptp.tc_Nat_Onat T_b)) T_b) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat T_b)) V_f_2)) (tptp.c_COMBI T_b))))))
% 80.53/80.76  (assume a2037 (= tptp.c_FunDef_Omin__weak (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Omin__ext (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_FunDef_Opair__leq)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2038 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2))))))))
% 80.53/80.76  (assume a2039 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))))
% 80.53/80.76  (assume a2040 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_FunDef_Oreduction__pair T_b V_Pa_2) (tptp.c_FunDef_Oreduction__pair T_c (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Orp__inv__image T_b T_c) V_Pa_2) V_f_2)))))
% 80.53/80.76  (assume a2041 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (=> (not (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2))) (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2))))))
% 80.53/80.76  (assume a2042 (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2))) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)))))
% 80.53/80.76  (assume a2043 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))
% 80.53/80.76  (assume a2044 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2045 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))
% 80.53/80.76  (assume a2046 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2047 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2048 (forall ((T_b $$unsorted)) (=> (and (tptp.class_Lattices_Osemilattice__sup T_b) (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Orderings_Oord__class_Omax T_b)))))
% 80.53/80.76  (assume a2049 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2050 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 80.53/80.76  (assume a2051 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c T_b)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 80.53/80.76  (assume a2052 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.76  (assume a2053 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))))
% 80.53/80.76  (assume a2054 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 80.53/80.76  (assume a2055 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a2056 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a2057 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_x) V_x))))
% 80.53/80.76  (assume a2058 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_a) V_a))))
% 80.53/80.76  (assume a2059 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_x) V_x))))
% 80.53/80.76  (assume a2060 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_b) V_a)))))
% 80.53/80.76  (assume a2061 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_x)))))
% 80.53/80.76  (assume a2062 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_x)))))
% 80.53/80.76  (assume a2063 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)))))
% 80.53/80.76  (assume a2064 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)))))
% 80.53/80.76  (assume a2065 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)))))
% 80.53/80.76  (assume a2066 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_b) V_c))))))
% 80.53/80.76  (assume a2067 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_z))))))
% 80.53/80.76  (assume a2068 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_z))))))
% 80.53/80.76  (assume a2069 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_b) V_c))))))
% 80.53/80.76  (assume a2070 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z))))))
% 80.53/80.76  (assume a2071 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z))))))
% 80.53/80.76  (assume a2072 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c T_b)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 80.53/80.76  (assume a2073 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_A_2) V_A_2)))
% 80.53/80.76  (assume a2074 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))))
% 80.53/80.76  (assume a2075 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.76  (assume a2076 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 80.53/80.76  (assume a2077 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 80.53/80.76  (assume a2078 (forall ((V_Pa_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (or (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_B_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))))))
% 80.53/80.76  (assume a2079 (forall ((V_Pa_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (and (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_B_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))))))
% 80.53/80.76  (assume a2080 (forall ((V_B_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)))))
% 80.53/80.76  (assume a2081 (forall ((V_A_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)))))
% 80.53/80.76  (assume a2082 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y))))))
% 80.53/80.76  (assume a2083 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y))))))
% 80.53/80.76  (assume a2084 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y))))))
% 80.53/80.76  (assume a2085 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y))))))
% 80.53/80.76  (assume a2086 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) V_y_2) V_y_2)))))
% 80.53/80.76  (assume a2087 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) V_y_2)) V_z_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_z_2)))))))
% 80.53/80.76  (assume a2088 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a2089 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a2090 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y) V_y)))))
% 80.53/80.76  (assume a2091 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y) V_x)))))
% 80.53/80.76  (assume a2092 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)) V_x)))))))
% 80.53/80.76  (assume a2093 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_z) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)) V_x)))))))
% 80.53/80.76  (assume a2094 (forall ((V_d $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_c) V_d))))))))
% 80.53/80.76  (assume a2095 (forall ((V_x $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)) V_x)) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_x)))))))))
% 80.53/80.76  (assume a2096 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_B_2)))))
% 80.53/80.76  (assume a2097 (forall ((V_D_2 $$unsorted) (V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_D_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_D_2)))))))
% 80.53/80.76  (assume a2098 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2))))))
% 80.53/80.76  (assume a2099 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_A_2))))
% 80.53/80.76  (assume a2100 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_B_2))))
% 80.53/80.76  (assume a2101 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_B_2))))
% 80.53/80.76  (assume a2102 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2103 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2104 (forall ((V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2) V_B_2)))
% 80.53/80.76  (assume a2105 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))
% 80.53/80.76  (assume a2106 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (and (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2107 (forall ((V_G_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_F_2) V_G_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_G_2))))))
% 80.53/80.76  (assume a2108 (forall ((V_G_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_G_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_F_2) V_G_2)))))))
% 80.53/80.76  (assume a2109 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x) V_x))))
% 80.53/80.76  (assume a2110 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x))))
% 80.53/80.76  (assume a2111 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) V_y_2) (tptp.c_Orderings_Obot__class_Obot T_b)) (and (= V_x_2 (tptp.c_Orderings_Obot__class_Obot T_b)) (= V_y_2 (tptp.c_Orderings_Obot__class_Obot T_b)))))))
% 80.53/80.76  (assume a2112 (forall ((T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_b) (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)))))
% 80.53/80.76  (assume a2113 (forall ((V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_S_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 80.53/80.76  (assume a2114 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_B_2))))))))))
% 80.53/80.76  (assume a2115 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_A_2))))
% 80.53/80.76  (assume a2116 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) V_B_2))))
% 80.53/80.76  (assume a2117 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2))))))
% 80.53/80.76  (assume a2118 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (= (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2)) (= V_A_2 V_B_2)))))
% 80.53/80.76  (assume a2119 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_B_2))))
% 80.53/80.76  (assume a2120 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_FunDef_Orp__inv__image T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool))))) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)))) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_COMBS (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)))) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool))) (tptp.tc_fun T_c T_b)) (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)))) (tptp.c_Relation_Oinv__image T_b T_c))))) (tptp.c_Relation_Oinv__image T_b T_c))))))
% 80.53/80.76  (assume a2121 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple__idem T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2))))))))
% 80.53/80.76  (assume a2122 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)))))))
% 80.53/80.76  (assume a2123 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2))))
% 80.53/80.76  (assume a2124 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one__idem T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2))))))))))
% 80.53/80.76  (assume a2125 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_A_2))))))
% 80.53/80.76  (assume a2126 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_B_2))))))))))
% 80.53/80.76  (assume a2127 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_B_2))))))))))
% 80.53/80.76  (assume a2128 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_B_2))))))))))
% 80.53/80.76  (assume a2129 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_B_2))))))))))
% 80.53/80.76  (assume a2130 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Set_Oinsert T_c)) V_f_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)))))
% 80.53/80.76  (assume a2131 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2))))))))
% 80.53/80.76  (assume a2132 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_B_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2))))))))
% 80.53/80.76  (assume a2133 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_a_2) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) V_a_2))))))
% 80.53/80.76  (assume a2134 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)))))))))
% 80.53/80.76  (assume a2135 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))))
% 80.53/80.76  (assume a2136 (= tptp.c_FunDef_Omax__weak (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Omax__ext (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_FunDef_Opair__leq)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2137 (forall ((V_f_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image T_c T_b) V_r_2) V_f_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_c) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) V_r_2)))))
% 80.53/80.76  (assume a2138 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) V_A_2))))))))
% 80.53/80.76  (assume a2139 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_u_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2))))))
% 80.53/80.76  (assume a2140 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))))
% 80.53/80.76  (assume a2141 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat V_l_2 V_u_2)))))
% 80.53/80.76  (assume a2142 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint V_l_2 V_u_2)))))
% 80.53/80.76  (assume a2143 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup tptp.tc_Nat_Onat) (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)))
% 80.53/80.76  (assume a2144 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2145 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_B_2))))))
% 80.53/80.76  (assume a2146 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2))))
% 80.53/80.76  (assume a2147 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_B_2))))))))
% 80.53/80.76  (assume a2148 (forall ((V_k_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_k_2)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_k_2 V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2149 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_k_2 V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_k_2) V_l_2)))))))
% 80.53/80.76  (assume a2150 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_k_2 V_l_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_k_2) V_l_2)))))))
% 80.53/80.76  (assume a2151 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_m_2 V_u_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2)))))))
% 80.53/80.76  (assume a2152 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat V_l_2 V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_u_2) V_l_2))))
% 80.53/80.76  (assume a2153 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_S_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 80.53/80.76  (assume a2154 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)))))))
% 80.53/80.76  (assume a2155 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_A_2))))))
% 80.53/80.76  (assume a2156 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2))))))))
% 80.53/80.76  (assume a2157 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_B_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2))))))))
% 80.53/80.76  (assume a2158 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint V_l_2 V_u_2)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_u_2) V_l_2)))))
% 80.53/80.76  (assume a2159 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_B_2))))))))))
% 80.53/80.76  (assume a2160 (= tptp.c_FunDef_Omax__strict (tptp.c_Wellfounded_Omax__ext (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_FunDef_Opair__less)))
% 80.53/80.76  (assume a2161 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_m_2 V_u_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)))))))
% 80.53/80.76  (assume a2162 (forall ((T_b $$unsorted)) (= (tptp.c_Wellfounded_Omeasure T_b) (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat T_b) tptp.c_Wellfounded_Oless__than))))
% 80.53/80.76  (assume a2163 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)))))))))
% 80.53/80.76  (assume a2164 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))))
% 80.53/80.76  (assume a2165 (forall ((V_D_2 $$unsorted) (V_C_2 $$unsorted) (V_R_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.c_Wellfounded_Omax__ext T_b V_R_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_D_2)) (tptp.c_Wellfounded_Omax__ext T_b V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_D_2))) (tptp.c_Wellfounded_Omax__ext T_b V_R_2)))))))
% 80.53/80.76  (assume a2166 (forall ((V_xa_2 $$unsorted) (V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Omax__extp T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b)))) (tptp.c_Product__Type_OPair T_b T_b)))) V_R_2) V_x_2 V_xa_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2) V_xa_2)) (tptp.c_Wellfounded_Omax__ext T_b V_R_2))))))
% 80.53/80.76  (assume a2167 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oirrefl T_b V_r_2) (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) V_r_2)))))))
% 80.53/80.76  (assume a2168 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OField T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2)))))
% 80.53/80.76  (assume a2169 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) V_A_2))))))))
% 80.53/80.76  (assume a2170 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_N_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.76  (assume a2171 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2))))))
% 80.53/80.76  (assume a2172 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)))))
% 80.53/80.76  (assume a2173 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)))))
% 80.53/80.76  (assume a2174 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)))))
% 80.53/80.76  (assume a2175 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OField T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2176 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_OField T_b) V_s_2))))))
% 80.53/80.76  (assume a2177 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OField T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_OField T_b) V_s_2)))))
% 80.53/80.76  (assume a2178 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_b)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2))))))
% 80.53/80.76  (assume a2179 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_N_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.76  (assume a2180 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_N_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.76  (assume a2181 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_N_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.76  (assume a2182 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_N_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.76  (assume a2183 (forall ((V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_x) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (exists ((B_n $$unsorted)) (= V_x (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Nat_OSuc B_n))))))))
% 80.53/80.76  (assume a2184 (forall ((V_k_2 $$unsorted) (V_Pa_2 $$unsorted) (V_d_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_d_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_x) V_d_2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_k_2) V_d_2)))))))))))
% 80.53/80.76  (assume a2185 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (V_T_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_T_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_T_2) V_S_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Oone__class_Oone T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_T_2))))))))
% 80.53/80.76  (assume a2186 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (V_T_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_T_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_T_2) V_S_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Oone__class_Oone T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_T_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_S_2))))))))
% 80.53/80.76  (assume a2187 (forall ((V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k)) (exists ((B_n $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) B_n)) (= V_k (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) B_n)))))))
% 80.53/80.76  (assume a2188 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))
% 80.53/80.76  (assume a2189 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_m_2 V_u_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2)))))))
% 80.53/80.76  (assume a2190 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_y_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) V_x_2) V_y_2)) tptp.c_Int_Ointrel)))))
% 80.53/80.76  (assume a2191 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_l_2 V_u_2)))))
% 80.53/80.76  (assume a2192 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_l_2 V_u_2)))))
% 80.53/80.76  (assume a2193 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2))))))
% 80.53/80.76  (assume a2194 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) V_A_2)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) V_B_2)))))
% 80.53/80.76  (assume a2195 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (not (= (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2196 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_i_2 V_j_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_i_2) (tptp.hAPP tptp.c_Nat_OSuc V_j_2)))))
% 80.53/80.76  (assume a2197 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (not (exists ((B_f $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) B_f) V_A_2) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2))))))
% 80.53/80.76  (assume a2198 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2)))))
% 80.53/80.76  (assume a2199 (forall ((V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2200 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2201 (forall ((V_B_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2)))))
% 80.53/80.76  (assume a2202 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.76  (assume a2203 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2))))))
% 80.53/80.76  (assume a2204 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2205 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2206 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2))))))
% 80.53/80.76  (assume a2207 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2) V_B_2) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Set_Oimage T_c T_b V_f_2)) (tptp.hAPP (tptp.c_Set_OPow T_c) V_A_2)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2)))))
% 80.53/80.76  (assume a2208 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2))) (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2209 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) V_k_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_i_2 V_j_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j_2) V_k_2)))))
% 80.53/80.76  (assume a2210 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2))))))
% 80.53/80.76  (assume a2211 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_m_2) (=> (tptp.c_Nat__Transfer_Ois__nat V_na_2) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_m_2 V_na_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat V_m_2) (tptp.hAPP tptp.c_Int_Onat V_na_2))))))))
% 80.53/80.76  (assume a2212 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2))))))
% 80.53/80.76  (assume a2213 (forall ((V_A_2 $$unsorted) (V_A_H_2 $$unsorted) (V_r_2 $$unsorted) (V_r_H_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_r_H_2) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_H_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_c V_r_H_2) V_A_H_2)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_c V_r_2) V_A_2)))))))
% 80.53/80.76  (assume a2214 (forall ((V_A_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) V_A_2)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_S_2) V_A_2)))))
% 80.53/80.76  (assume a2215 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Ois__nat V_x_2) (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2216 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2)))))))
% 80.53/80.76  (assume a2217 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2)))))))
% 80.53/80.76  (assume a2218 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) V_a_2)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2219 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_c_2 V_d_2))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_c_2) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) V_d_2))))))))
% 80.53/80.76  (assume a2220 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (=> (= V_a_2 V_b_2) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2221 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_c_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (and (= V_a_2 V_b_2) (= V_b_2 V_c_2))))))
% 80.53/80.76  (assume a2222 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2223 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_x_2 V_y_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_y_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a2224 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Set_Oimage T_c T_b V_f_2)) (tptp.hAPP (tptp.c_Set_OPow T_c) V_A_2))) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2))))))
% 80.53/80.76  (assume a2225 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_l_2) V_u_2) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat V_l_2 V_u_2))))
% 80.53/80.76  (assume a2226 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_x_2)) (tptp.c_Nat__Transfer_Onat__set (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2227 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) V_A_2))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) B_x) V_b_2)) V_r_2)))))))
% 80.53/80.76  (assume a2228 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP (tptp.c_Relation_OImage T_b T_c V_r_2) V_A_2)))))))
% 80.53/80.76  (assume a2229 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_l_2 V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_u_2)) V_l_2))))
% 80.53/80.76  (assume a2230 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_l_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_u_2) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint V_l_2 V_u_2))))
% 80.53/80.76  (assume a2231 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_c_2 V_d_2))) (and (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_c_2) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) V_d_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_b_2) V_d_2))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_c_2) V_d_2)))))))
% 80.53/80.76  (assume a2232 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_m_2 V_u_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2)))))))
% 80.53/80.76  (assume a2233 (forall ((V_i_2 $$unsorted) (V_j_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_j_2) V_i_2)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_i_2 V_j_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_j_2) V_i_2))) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_i_2 V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Int_Oint) V_i_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_j_2)))))))
% 80.53/80.76  (assume a2234 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_a_2) V_b_2)) V_r_2)))))
% 80.53/80.76  (assume a2235 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_l_2 V_u_2)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_u_2) V_l_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.76  (assume a2236 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2))))))
% 80.53/80.76  (assume a2237 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_i_2) V_j_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_i_2)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_j_2))))))
% 80.53/80.76  (assume a2238 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2239 (forall ((V_v_2 $$unsorted) (V_u_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_u_2) V_v_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_x_2) V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_y_2) V_v_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_x_2) V_v_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_y_2) V_u_2)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2240 (forall ((V_v_2 $$unsorted) (V_u_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_u_2) V_v_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_x_2) V_v_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_u_2) V_y_2))))))
% 80.53/80.76  (assume a2241 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_y_2) V_x_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2242 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2243 (forall ((V_m_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m_2) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_m_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2244 (forall ((V_v_2 $$unsorted) (V_u_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_u_2) V_v_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_x_2) V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y_2) V_v_2))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2245 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_x_2) V_y_2))))
% 80.53/80.76  (assume a2246 (forall ((V_v_2 $$unsorted) (V_u_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_u_2) V_v_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_x_2) V_v_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_u_2) V_y_2))))))
% 80.53/80.76  (assume a2247 (forall ((V_Pa_2 $$unsorted) (V_na_2 $$unsorted)) (= (exists ((B_m $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_m) V_na_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_m)))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_na_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.76  (assume a2248 (forall ((V_Pa_2 $$unsorted) (V_na_2 $$unsorted)) (= (forall ((B_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_m) V_na_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_m)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_na_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.76  (assume a2249 (forall ((V_A_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_t_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_A_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_A_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_x) V_t_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_x) V_D_2)) V_t_2)))))))))
% 80.53/80.76  (assume a2250 (forall ((V_B_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_t_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_B_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_B_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_t_2) B_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_t_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) V_D_2))))))))))
% 80.53/80.76  (assume a2251 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2))))))
% 80.53/80.76  (assume a2252 (forall ((V_B_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_t_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_B_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_x) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) V_B_2)) (not (= V_t_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_xa) B_x))))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_t_2) V_D_2) V_t_2))))))
% 80.53/80.76  (assume a2253 (forall ((V_A_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_t_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_x) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) V_A_2)) (not (= V_t_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_xa) B_x))))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_t_2) V_D_2) V_t_2))))))
% 80.53/80.76  (assume a2254 (forall ((V_A_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) V_t_2) V_A_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_A_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_x) V_t_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_x) V_D_2)) V_t_2)))))))))
% 80.53/80.76  (assume a2255 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.c_Predicate_OPowp T_b V_A_2)) (tptp.c_Predicate_OPowp T_b V_B_2))))))
% 80.53/80.76  (assume a2256 (forall ((V_A_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) V_t_2) V_A_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_A_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (not (= B_x V_t_2)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_x) V_D_2) V_t_2)))))))))
% 80.53/80.76  (assume a2257 (forall ((V_B_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) V_t_2) V_B_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_B_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (not (= B_x V_t_2)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) V_D_2) V_t_2)))))))))
% 80.53/80.76  (assume a2258 (forall ((V_B_2 $$unsorted) (V_t_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) V_t_2) V_B_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_B_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_t_2) B_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_t_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) V_D_2))))))))))
% 80.53/80.76  (assume a2259 (forall ((V_t_2 $$unsorted) (V_B_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_B_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_x) V_t_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) V_D_2)) V_t_2))))))))
% 80.53/80.76  (assume a2260 (forall ((V_t_2 $$unsorted) (V_A_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_A_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_t_2) B_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_t_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_x) V_D_2)))))))))
% 80.53/80.76  (assume a2261 (forall ((V_z_2 $$unsorted)) (not (forall ((B_x $$unsorted) (B_y $$unsorted)) (not (= V_z_2 (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) B_x) B_y)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)))))))))))
% 80.53/80.76  (assume a2262 (forall ((V_Pa_2 $$unsorted) (V_d_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_d_2)) (=> (forall ((B_x $$unsorted) (B_k $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) B_k) V_d_2)))))) (= (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_x) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_d_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))))
% 80.53/80.76  (assume a2263 (forall ((V_t_2 $$unsorted) (V_A_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_A_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_t_2) B_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_t_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_x) V_D_2)))))))))
% 80.53/80.76  (assume a2264 (forall ((V_t_2 $$unsorted) (V_B_2 $$unsorted) (V_D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_D_2)) (forall ((B_x $$unsorted)) (=> (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xa) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint) V_D_2))) (forall ((B_xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_xb) V_B_2)) (not (= B_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_xb) B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_x) V_t_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) B_x) V_D_2)) V_t_2))))))))
% 80.53/80.76  (assume a2265 (forall ((V_x_2 $$unsorted) (V_y_2 $$unsorted) (V_c_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_c_2) V_y_2)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) V_c_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_x_2) V_y_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_x_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_y_2) V_c_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_c_2) V_y_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x_2) V_y_2)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) V_c_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_x_2) V_y_2))) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) V_c_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_x_2) V_y_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))))))
% 80.53/80.76  (assume a2266 (forall ((V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2))))))
% 80.53/80.76  (assume a2267 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) V_A_2))) (not (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) B_x) V_b_2)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)))))))))
% 80.53/80.76  (assume a2268 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_l_2) V_u_2)))))
% 80.53/80.76  (assume a2269 (forall ((V_k_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_k_2)))))
% 80.53/80.76  (assume a2270 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) V_d_2)) (= (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_c_2) V_d_2)) (and (= V_a_2 V_c_2) (= V_b_2 V_d_2))))))))
% 80.53/80.76  (assume a2271 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_c_2) V_d_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) V_d_2)) (= V_a_2 V_c_2)))))))
% 80.53/80.76  (assume a2272 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_c_2) V_d_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_c_2) V_d_2)) (= V_b_2 V_d_2)))))))
% 80.53/80.76  (assume a2273 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_x_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2274 (forall ((V_Pa_2 $$unsorted) (V_na_2 $$unsorted)) (= (exists ((B_m $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_m) V_na_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_m)))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.76  (assume a2275 (forall ((V_Pa_2 $$unsorted) (V_na_2 $$unsorted)) (= (forall ((B_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_m) V_na_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_m)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.76  (assume a2276 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_l_2) (tptp.hAPP tptp.c_Nat_OSuc V_u_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_l_2 V_u_2))))
% 80.53/80.76  (assume a2277 (forall ((V_m_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2278 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_l_2) V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_u_2) V_l_2))))
% 80.53/80.76  (assume a2279 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_i_2) V_j_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_i_2)) (tptp.hAPP tptp.c_Nat_OSuc V_j_2)))))
% 80.53/80.76  (assume a2280 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) V_a_2)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2281 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)))))))
% 80.53/80.76  (assume a2282 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)))))))
% 80.53/80.76  (assume a2283 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_c_2) V_d_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) V_a_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_c_2) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) V_d_2))))))))
% 80.53/80.76  (assume a2284 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_m_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_m_2) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2)))))))
% 80.53/80.76  (assume a2285 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_i_2) V_na_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_i_2) V_m_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_i_2) V_na_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_na_2) V_m_2))))))
% 80.53/80.76  (assume a2286 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_l_2)) V_u_2) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat V_l_2 V_u_2))))
% 80.53/80.76  (assume a2287 (forall ((V_na_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_na_2))))
% 80.53/80.76  (assume a2288 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_i_2) V_j_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j_2) V_k_2)))))
% 80.53/80.76  (assume a2289 (forall ((V_u_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_u_2)) (tptp.hAPP tptp.c_Nat_OSuc V_u_2))))
% 80.53/80.76  (assume a2290 (forall ((V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_k_2)))))
% 80.53/80.76  (assume a2291 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_i_2) V_k_2))))))
% 80.53/80.76  (assume a2292 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2))))))
% 80.53/80.76  (assume a2293 (forall ((V_m_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) V_m_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2294 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_m_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_m_2 V_u_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2)))))))
% 80.53/80.76  (assume a2295 (forall ((V_k_2 $$unsorted) (V_j_2 $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i_2) V_j_2)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_i_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j_2) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_i_2) V_j_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j_2) V_k_2)))))))
% 80.53/80.76  (assume a2296 (forall ((V_k_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) V_A_2))))) (= V_A_2 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) V_A_2)))))))
% 80.53/80.76  (assume a2297 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_x_2 V_y_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_y_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a2298 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_x_2) V_y_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_y_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a2299 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2))) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2300 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2301 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_l_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_u_2))))))
% 80.53/80.76  (assume a2302 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_m_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_m_2) V_u_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)))))))
% 80.53/80.76  (assume a2303 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_u_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2))))))
% 80.53/80.76  (assume a2304 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2))))))
% 80.53/80.76  (assume a2305 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_m_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_m_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_m_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2)))))))
% 80.53/80.76  (assume a2306 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_l_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_u_2))))))
% 80.53/80.76  (assume a2307 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_l_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_u_2))))))
% 80.53/80.76  (assume a2308 (forall ((V_u_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_u_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_u_2)))))
% 80.53/80.76  (assume a2309 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_B_2)))))))))
% 80.53/80.76  (assume a2310 (forall ((T_b $$unsorted) (V_B_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2))))))
% 80.53/80.76  (assume a2311 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (not (=> (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)) (not (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2))))))))
% 80.53/80.76  (assume a2312 (forall ((V_k_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_k_2)))))
% 80.53/80.76  (assume a2313 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint V_l_2) V_u_2)))))
% 80.53/80.76  (assume a2314 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))))
% 80.53/80.76  (assume a2315 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.76  (assume a2316 (forall ((V_G_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_G_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_F_2) V_G_2))))))
% 80.53/80.76  (assume a2317 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_l_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2318 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2)) (tptp.hAPP (tptp.c_Set_OPow T_b) V_B_2)))))
% 80.53/80.76  (assume a2319 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2320 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2321 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c T_b)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 80.53/80.76  (assume a2322 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))
% 80.53/80.76  (assume a2323 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 80.53/80.76  (assume a2324 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 80.53/80.76  (assume a2325 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) V_B_2))))
% 80.53/80.76  (assume a2326 (forall ((T_b $$unsorted)) (=> (and (tptp.class_Lattices_Osemilattice__inf T_b) (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Orderings_Oord__class_Omin T_b)))))
% 80.53/80.76  (assume a2327 (forall ((V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_b) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) V_x))))))
% 80.53/80.76  (assume a2328 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) V_x))))))
% 80.53/80.76  (assume a2329 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_x) V_x))))
% 80.53/80.76  (assume a2330 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_a) V_a))))
% 80.53/80.76  (assume a2331 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_x) V_x))))
% 80.53/80.76  (assume a2332 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_b) V_a)))))
% 80.53/80.76  (assume a2333 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_x)))))
% 80.53/80.76  (assume a2334 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_x)))))
% 80.53/80.76  (assume a2335 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)))))
% 80.53/80.76  (assume a2336 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)))))
% 80.53/80.76  (assume a2337 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)))))
% 80.53/80.76  (assume a2338 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_b) V_c))))))
% 80.53/80.76  (assume a2339 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z))))))
% 80.53/80.76  (assume a2340 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z))))))
% 80.53/80.76  (assume a2341 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_b) V_c))))))
% 80.53/80.76  (assume a2342 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z))))))
% 80.53/80.76  (assume a2343 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z))))))
% 80.53/80.76  (assume a2344 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c T_b)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 80.53/80.76  (assume a2345 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_A_2) V_A_2)))
% 80.53/80.76  (assume a2346 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))))
% 80.53/80.76  (assume a2347 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.76  (assume a2348 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 80.53/80.76  (assume a2349 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 80.53/80.76  (assume a2350 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)))))
% 80.53/80.76  (assume a2351 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2)))))
% 80.53/80.76  (assume a2352 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_x_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2353 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) V_x))))
% 80.53/80.76  (assume a2354 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_x))))
% 80.53/80.76  (assume a2355 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z))))))
% 80.53/80.76  (assume a2356 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_z))))))
% 80.53/80.76  (assume a2357 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_z) V_x))))))
% 80.53/80.76  (assume a2358 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_z) V_x))))))
% 80.53/80.76  (assume a2359 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 80.53/80.76  (assume a2360 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 80.53/80.76  (assume a2361 (forall ((V_A_2 $$unsorted) (V_C_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)))))
% 80.53/80.76  (assume a2362 (forall ((V_A_2 $$unsorted) (V_C_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)))))
% 80.53/80.76  (assume a2363 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)))))
% 80.53/80.76  (assume a2364 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2365 (forall ((V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2366 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2367 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_B_2)) (not (= B_x B_xa)))))))))
% 80.53/80.76  (assume a2368 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 80.53/80.76  (assume a2369 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 80.53/80.76  (assume a2370 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_A_2))))
% 80.53/80.76  (assume a2371 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_B_2))))
% 80.53/80.76  (assume a2372 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_A_2))))
% 80.53/80.76  (assume a2373 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_B_2))))
% 80.53/80.76  (assume a2374 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.76  (assume a2375 (forall ((V_D_2 $$unsorted) (V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_D_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_D_2)))))))
% 80.53/80.76  (assume a2376 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_b)))))))))
% 80.53/80.76  (assume a2377 (forall ((V_d $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_c) V_d))))))))
% 80.53/80.76  (assume a2378 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z))))))))
% 80.53/80.76  (assume a2379 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_a)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b))))))))
% 80.53/80.76  (assume a2380 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_y) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) V_y)))))
% 80.53/80.76  (assume a2381 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) V_x)))))
% 80.53/80.76  (assume a2382 (forall ((V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) V_x))))))
% 80.53/80.76  (assume a2383 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) V_x))))))
% 80.53/80.76  (assume a2384 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_y_2) V_z_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_z_2)))))))
% 80.53/80.76  (assume a2385 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) V_y_2) V_x_2)))))
% 80.53/80.76  (assume a2386 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_y)))))
% 80.53/80.76  (assume a2387 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_y)))))
% 80.53/80.76  (assume a2388 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_x)))))
% 80.53/80.76  (assume a2389 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_x)))))
% 80.53/80.76  (assume a2390 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2)))))
% 80.53/80.76  (assume a2391 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)))))
% 80.53/80.76  (assume a2392 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_B_2))))))
% 80.53/80.76  (assume a2393 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_l_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2394 (forall ((T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)))))
% 80.53/80.76  (assume a2395 (forall ((V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_S_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 80.53/80.76  (assume a2396 (forall ((V_u_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_u_2)) V_u_2)))
% 80.53/80.76  (assume a2397 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)))))))
% 80.53/80.76  (assume a2398 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_z)))))))
% 80.53/80.76  (assume a2399 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 80.53/80.76  (assume a2400 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 80.53/80.76  (assume a2401 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y))))))
% 80.53/80.76  (assume a2402 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y))))))
% 80.53/80.76  (assume a2403 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y))))))
% 80.53/80.76  (assume a2404 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2405 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_C_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_C_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2))))))
% 80.53/80.76  (assume a2406 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2407 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_C_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 80.53/80.76  (assume a2408 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2409 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_C_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2))))))
% 80.53/80.76  (assume a2410 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_B_2))))))
% 80.53/80.76  (assume a2411 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2412 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_A_2))))
% 80.53/80.76  (assume a2413 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)))))
% 80.53/80.76  (assume a2414 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 80.53/80.76  (assume a2415 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 80.53/80.76  (assume a2416 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_A_2)))
% 80.53/80.76  (assume a2417 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_m_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_m_2) V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2418 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_B_2))))))
% 80.53/80.76  (assume a2419 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2420 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2421 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) V_A_2)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) V_B_2))))))
% 80.53/80.76  (assume a2422 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)))))
% 80.53/80.76  (assume a2423 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)))))
% 80.53/80.76  (assume a2424 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)))))
% 80.53/80.76  (assume a2425 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.76  (assume a2426 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_m_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2427 (forall ((V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))))
% 80.53/80.76  (assume a2428 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.76  (assume a2429 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_B_2))))))))
% 80.53/80.76  (assume a2430 (forall ((V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_k_2)))))
% 80.53/80.76  (assume a2431 (forall ((V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_k_2))))
% 80.53/80.76  (assume a2432 (forall ((V_u_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_u_2)))))
% 80.53/80.76  (assume a2433 (forall ((V_u_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_u_2)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_u_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat V_u_2)))))))
% 80.53/80.76  (assume a2434 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_i_2) V_k_2))))))
% 80.53/80.76  (assume a2435 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_a_2) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) V_a_2))))))
% 80.53/80.76  (assume a2436 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2))))))
% 80.53/80.76  (assume a2437 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_C_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2))))))))
% 80.53/80.76  (assume a2438 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2))))))
% 80.53/80.76  (assume a2439 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_m_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_m_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2440 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_c_2 V_d_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_b_2) V_d_2))))))
% 80.53/80.76  (assume a2441 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_c_2) V_d_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_b_2) V_d_2))))))
% 80.53/80.76  (assume a2442 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_m_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_m_2) V_na_2))))))
% 80.53/80.76  (assume a2443 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_m_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2444 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_m_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2445 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_m_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2446 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_a_2 V_b_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_c_2 V_d_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_b_2) V_d_2))))))
% 80.53/80.76  (assume a2447 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_m_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_m_2) V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2448 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_a_2 V_b_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_c_2 V_d_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_b_2) V_d_2))))))
% 80.53/80.76  (assume a2449 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_b_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_c_2 V_d_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_b_2) V_d_2))))))
% 80.53/80.76  (assume a2450 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_d_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_b_2) V_d_2))))))
% 80.53/80.76  (assume a2451 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_l_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2452 (forall ((V_u_2 $$unsorted) (V_m_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_m_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_m_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2453 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_l_2)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2454 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2))))))))
% 80.53/80.76  (assume a2455 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_u_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_l_2 V_u_2))))
% 80.53/80.76  (assume a2456 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_A_2)) V_a_2)))))))
% 80.53/80.76  (assume a2457 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) V_l_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_u_2) V_l_2))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint V_l_2) V_u_2))))
% 80.53/80.76  (assume a2458 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_A_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) B_x))))))))))
% 80.53/80.76  (assume a2459 (forall ((V_u_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_u_2)) (tptp.hAPP tptp.c_Int_Onat V_u_2))))
% 80.53/80.76  (assume a2460 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint V_l_2) V_u_2)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_u_2) V_l_2)))))
% 80.53/80.76  (assume a2461 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_B_2))))))))
% 80.53/80.76  (assume a2462 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_B_2))))))))
% 80.53/80.76  (assume a2463 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))))
% 80.53/80.76  (assume a2464 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2)))))))
% 80.53/80.76  (assume a2465 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.76  (assume a2466 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_l_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_u_2) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint V_l_2 V_u_2))))
% 80.53/80.76  (assume a2467 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2)))))))))
% 80.53/80.76  (assume a2468 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2)))))))))))
% 80.53/80.76  (assume a2469 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2)))))))))
% 80.53/80.76  (assume a2470 (forall ((V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_k_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_k_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2471 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_l_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_u_2))))))
% 80.53/80.76  (assume a2472 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_B_2)))))))))
% 80.53/80.76  (assume a2473 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_B_2)))))))))
% 80.53/80.76  (assume a2474 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2))))))))
% 80.53/80.76  (assume a2475 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (and (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2476 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))))
% 80.53/80.76  (assume a2477 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_B_2)))))))))))
% 80.53/80.76  (assume a2478 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_B_2)))))))))
% 80.53/80.76  (assume a2479 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_B_2)))))))))))
% 80.53/80.76  (assume a2480 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_B_2)))))))))))
% 80.53/80.76  (assume a2481 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_B_2)))))))))
% 80.53/80.76  (assume a2482 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_B_2)))))))))
% 80.53/80.76  (assume a2483 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_B_2)))))))))))
% 80.53/80.76  (assume a2484 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_B_2)))))))))))
% 80.53/80.76  (assume a2485 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_B_2)))))))))
% 80.53/80.76  (assume a2486 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_B_2)))))))))
% 80.53/80.76  (assume a2487 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_B_2)))))))))))
% 80.53/80.76  (assume a2488 (forall ((V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))))))
% 80.53/80.76  (assume a2489 (forall ((V_na_2 $$unsorted) (V_d_2 $$unsorted) (V_a_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Nat_Onat) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint))) V_d_2))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) V_d_2)))))))
% 80.53/80.76  (assume a2490 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (=> (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))) (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_B_2))))))))
% 80.53/80.76  (assume a2491 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Fields_Ofield T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (not (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))))))
% 80.53/80.76  (assume a2492 (forall ((V_f_2 $$unsorted) (V_T_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Oone__class_Oone T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_f_2) (tptp.c_Groups_Oone__class_Oone T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_f_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_f_2) (tptp.c_Groups_Oone__class_Oone T_c)) V_T_2)))))))))
% 80.53/80.76  (assume a2493 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf tptp.tc_Nat_Onat) (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat)))
% 80.53/80.76  (assume a2494 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.c_Groups_Ouminus__class_Ouminus T_b)) V_f_2)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2))))))
% 80.53/80.76  (assume a2495 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.c_COMBK T_b T_c) (tptp.c_Groups_Ozero__class_Ozero T_b))) V_A_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))
% 80.53/80.76  (assume a2496 (forall ((V_A_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Oplus__class_Oplus T_b)) V_f_2)) V_g_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_g_2) V_A_2))))))
% 80.53/80.76  (assume a2497 (forall ((V_B_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__0 T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_d T_b) V_g_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_b) (tptp.tc_fun (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) T_c) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_d T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d T_b) (tptp.tc_fun T_d T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b T_b) (tptp.tc_fun (tptp.tc_fun T_d T_b) (tptp.tc_fun T_d T_b)) T_c) (tptp.c_COMBB T_b T_b T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Otimes__class_Otimes T_b)) V_f_2))) V_g_2))) V_B_2)) V_A_2)))))
% 80.53/80.76  (assume a2498 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__0 T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Otimes__class_Otimes T_b)) V_f_2)) V_r_2)) V_A_2)))))
% 80.53/80.76  (assume a2499 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__0 T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_r_2)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a2500 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_b) (tptp.tc_fun (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) T_c) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_d T_b)) V_f_2)) V_B_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_d T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) T_d) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b)) (tptp.hAPP (tptp.c_COMBC T_c T_d T_b) V_f_2))) V_A_2)) V_B_2)))))
% 80.53/80.76  (assume a2501 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c tptp.tc_Nat_Onat) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b T_c) (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a2502 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oring__1 T_b) (= (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c tptp.tc_Int_Oint) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint T_b T_c) (tptp.c_Int_Oring__1__class_Oof__int T_b)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a2503 (forall ((V_A_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Ominus__class_Ominus T_b)) V_f_2)) V_g_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_g_2) V_A_2))))))
% 80.53/80.76  (assume a2504 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Ofield T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Rings_Oinverse__class_Odivide T_b)) V_f_2)) V_r_2)) V_A_2)))))
% 80.53/80.76  (assume a2505 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Groups_Ozero__class_Ozero T_b)))))
% 80.53/80.76  (assume a2506 (forall ((V_g_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_g_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Groups_Ozero__class_Ozero T_b)))))
% 80.53/80.76  (assume a2507 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2) (tptp.c_Groups_Ozero__class_Ozero T_c))))))
% 80.53/80.76  (assume a2508 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2) (tptp.c_Groups_Ozero__class_Ozero T_c))))))
% 80.53/80.76  (assume a2509 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_S_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 80.53/80.76  (assume a2510 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Groups_Oplus__class_Oplus T_c)) V_g_2)) V_h_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_h_2) V_A_2)))))))
% 80.53/80.76  (assume a2511 (forall ((V_na_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP V_f_2 V_na_2))))))
% 80.53/80.76  (assume a2512 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m_2)) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Nat_Onat) V_f_2) tptp.c_Nat_OSuc)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2))))))
% 80.53/80.76  (assume a2513 (forall ((V_na_2 $$unsorted) (V_k_2 $$unsorted) (V_m_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_k_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) V_k_2))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2))))))
% 80.53/80.76  (assume a2514 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Nat_Onat) V_f_2) tptp.c_Nat_OSuc)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2))))))
% 80.53/80.76  (assume a2515 (forall ((V_na_2 $$unsorted) (V_k_2 $$unsorted) (V_m_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_k_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) V_k_2))) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2))))))
% 80.53/80.76  (assume a2516 (forall ((V_f_2 $$unsorted) (V_p_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2) V_p_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_na_2) V_p_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_p_2))))))))
% 80.53/80.76  (assume a2517 (forall ((V_f_2 $$unsorted) (V_p_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2) V_p_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_p_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_na_2) V_p_2))))))))
% 80.53/80.76  (assume a2518 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_c))) V_S_2) (tptp.hAPP V_b_2 V_a_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_c))) V_S_2) (tptp.c_Groups_Ozero__class_Ozero T_c))))))))
% 80.53/80.76  (assume a2519 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP tptp.c_fequal V_a_2))) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_c))) V_S_2) (tptp.hAPP V_b_2 V_a_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_S_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP tptp.c_fequal V_a_2))) V_b_2)) (tptp.c_Groups_Ozero__class_Ozero T_c))) V_S_2) (tptp.c_Groups_Ozero__class_Ozero T_c))))))))
% 80.53/80.76  (assume a2520 (forall ((V_A_2 $$unsorted) (V_y_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.c_COMBK T_b T_c) V_y_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_A_2))) V_y_2)))))
% 80.53/80.76  (assume a2521 (forall ((V_na_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP V_f_2 (tptp.hAPP tptp.c_Nat_OSuc V_na_2)))))))
% 80.53/80.76  (assume a2522 (forall ((V_f_2 $$unsorted) (V_a_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_F_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_F_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_F_2))))))))
% 80.53/80.76  (assume a2523 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2))))))))
% 80.53/80.76  (assume a2524 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_B_2))))))))
% 80.53/80.76  (assume a2525 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_B_2))))))))
% 80.53/80.76  (assume a2526 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Oplus__class_Oplus T_c)) V_g_2) (tptp.c_Groups_Ozero__class_Ozero T_c)) V_A_2))))))
% 80.53/80.76  (assume a2527 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Oplus__class_Oplus T_c)) V_g_2) (tptp.c_Groups_Ozero__class_Ozero T_c)) V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2) (tptp.c_Groups_Ozero__class_Ozero T_c)))))))
% 80.53/80.76  (assume a2528 (forall ((V_k_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (=> (= (tptp.hAPP V_f_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)))))))
% 80.53/80.76  (assume a2529 (forall ((V_f_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP V_f_2 V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m_2)) V_na_2))))))))
% 80.53/80.76  (assume a2530 (forall ((V_f_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP V_f_2 V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc V_m_2) V_na_2))))))))
% 80.53/80.76  (assume a2531 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))) V_f_2)) (tptp.c_Groups_Ozero__class_Ozero T_c))) V_A_2))))))
% 80.53/80.76  (assume a2532 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))
% 80.53/80.76  (assume a2533 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_B_2)))))))))
% 80.53/80.76  (assume a2534 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))))
% 80.53/80.76  (assume a2535 (forall ((V_f_2 $$unsorted) (V_m_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) V_m_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.c_Groups_Ozero__class_Ozero T_b))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) V_m_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2))) (tptp.hAPP V_f_2 V_na_2))))))))
% 80.53/80.76  (assume a2536 (forall ((V_f_2 $$unsorted) (V_m_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_m_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.c_Groups_Ozero__class_Ozero T_b))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_m_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 (tptp.hAPP tptp.c_Nat_OSuc V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2))) (tptp.hAPP V_f_2 (tptp.hAPP tptp.c_Nat_OSuc V_na_2)))))))))
% 80.53/80.76  (assume a2537 (forall ((V_Pa_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_Pa_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP V_Pa_2 V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_Pa_2) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat V_m_2 V_na_2))))))))
% 80.53/80.76  (assume a2538 (forall ((V_p_2 $$unsorted) (V_f_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_p_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_p_2)))))))))
% 80.53/80.76  (assume a2539 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))
% 80.53/80.76  (assume a2540 (forall ((V_f_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))
% 80.53/80.76  (assume a2541 (forall ((V_f_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Rings_Oring T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP V_f_2 V_a_2))))))))
% 80.53/80.76  (assume a2542 (forall ((V_f_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP V_f_2 V_a_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2))))))))
% 80.53/80.76  (assume a2543 (forall ((V_na_2 $$unsorted) (V_d_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.c_Groups_Oone__class_Oone T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) tptp.tc_Nat_Onat) (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b))) V_d_2))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) V_d_2))))))))
% 80.53/80.76  (assume a2544 (forall ((V_na_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Ofield T_b) (=> (not (= V_x_2 (tptp.c_Groups_Oone__class_Oone T_b))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_b) V_x_2) V_na_2)) (tptp.c_Groups_Oone__class_Oone T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) V_x_2) (tptp.c_Groups_Oone__class_Oone T_b))))))))
% 80.53/80.76  (assume a2545 (forall ((V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.c_Groups_Oone__class_Oone T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) V_na_2)) (tptp.c_Groups_Oone__class_Oone T_b)))))))
% 80.53/80.76  (assume a2546 (forall ((V_f_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) tptp.tc_Nat_Onat) (tptp.c_Groups_Ominus__class_Ominus T_b)) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP V_f_2 V_m_2)) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) tptp.tc_Nat_Onat) (tptp.c_Groups_Ominus__class_Ominus T_b)) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_m_2 V_na_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.76  (assume a2547 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oordered__comm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (forall ((B_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP V_f_2 B_b))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_B_2)))))))))
% 80.53/80.76  (assume a2548 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (= (tptp.hAPP V_g_2 B_x) (tptp.c_Groups_Oone__class_Oone T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) V_B_2)))))))))
% 80.53/80.76  (assume a2549 (forall ((V_f_2 $$unsorted) (V_T_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Oone__class_Oone T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_T_2)))))))))
% 80.53/80.76  (assume a2550 (forall ((V_K_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Groups_Oordered__ab__semigroup__add T_c) (tptp.class_Rings_Osemiring__1 T_c)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_i) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_f_2 B_i)) V_K_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_c) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_c) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))) V_K_2)))))))
% 80.53/80.76  (assume a2551 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_B_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2))))))
% 80.53/80.76  (assume a2552 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2))))))))
% 80.53/80.76  (assume a2553 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2)))))
% 80.53/80.76  (assume a2554 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2)))))
% 80.53/80.76  (assume a2555 (forall ((V_f_2 $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_F_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_F_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))))
% 80.53/80.76  (assume a2556 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBK tptp.tc_Nat_Onat T_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_A_2))))
% 80.53/80.76  (assume a2557 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint T_b) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_f_2)) V_A_2))))
% 80.53/80.76  (assume a2558 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_A_2)) (=> (not (= B_x B_xa)) (= (tptp.hAPP V_f_2 B_xa) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))))))
% 80.53/80.76  (assume a2559 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_A_2)) (=> (not (= B_x B_xa)) (= (tptp.hAPP V_f_2 B_xa) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))))))
% 80.53/80.76  (assume a2560 (forall ((V_k_2 $$unsorted) (V_f_2 $$unsorted)) (=> (= (tptp.hAPP V_f_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_f_2) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_k_2))))))
% 80.53/80.76  (assume a2561 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Int_Oint T_b) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a2562 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_B_2)))))))
% 80.53/80.76  (assume a2563 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_b) (tptp.class_Groups_Ocomm__monoid__mult T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Int_Oint) V_f_2) tptp.c_Int_Onat)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_A_2))))))
% 80.53/80.76  (assume a2564 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2)) (tptp.hAPP V_f_2 V_a_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2))))))
% 80.53/80.76  (assume a2565 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))))
% 80.53/80.76  (assume a2566 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_b) (tptp.class_Groups_Ocomm__monoid__mult T_b)) (=> (tptp.c_Nat__Transfer_Onat__set V_A_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint T_b) V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint T_b tptp.tc_Nat_Onat) V_f_2) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint))) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) V_A_2)))))))
% 80.53/80.76  (assume a2567 (forall ((V_na_2 $$unsorted) (V_d_2 $$unsorted) (V_a_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) V_d_2))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_d_2)))))))
% 80.53/80.76  (assume a2568 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.c_Nat__Transfer_Ois__nat (tptp.hAPP V_f_2 B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Int_Oint) V_f_2) V_A_2) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Nat_Onat T_b) tptp.c_Int_Onat) V_f_2)) V_A_2))))))
% 80.53/80.76  (assume a2569 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (= (tptp.hAPP V_g_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_B_2)))))))))
% 80.53/80.76  (assume a2570 (forall ((V_f_2 $$unsorted) (V_T_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_T_2)))))))))
% 80.53/80.76  (assume a2571 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_c) (tptp.class_Groups_Oordered__ab__semigroup__add T_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP V_f_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_B_2)))))))))
% 80.53/80.76  (assume a2572 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))))
% 80.53/80.76  (assume a2573 (forall ((V_i_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (V_s_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_s_2)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_i) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP V_f_2 B_i))))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_s_2) V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_f_2 V_i_2)) V_B_2)))))))))
% 80.53/80.76  (assume a2574 (forall ((V_i_2 $$unsorted) (V_f_2 $$unsorted) (V_s_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_s_2)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_i) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP V_f_2 B_i))))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_s_2) (tptp.c_Groups_Ozero__class_Ozero T_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) V_s_2)) (= (tptp.hAPP V_f_2 V_i_2) (tptp.c_Groups_Ozero__class_Ozero T_c)))))))))
% 80.53/80.76  (assume a2575 (forall ((V_na_2 $$unsorted) (V_Pa_2 $$unsorted) (V_Q_2 $$unsorted)) (=> (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP V_Q_2 B_x)) (tptp.hAPP V_Pa_2 B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_Pa_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_Q_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_Nat_Onat) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) V_Pa_2)) V_Q_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2))))))
% 80.53/80.76  (assume a2576 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_x_2))))
% 80.53/80.76  (assume a2577 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_a_2) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) V_a_2))))))
% 80.53/80.76  (assume a2578 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)))))))
% 80.53/80.76  (assume a2579 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_A_2))))))
% 80.53/80.76  (assume a2580 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2))))))))
% 80.53/80.76  (assume a2581 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_B_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2))))))))
% 80.53/80.76  (assume a2582 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_B_2))))))))))
% 80.53/80.76  (assume a2583 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2))))))))
% 80.53/80.76  (assume a2584 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)))))))))
% 80.53/80.76  (assume a2585 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_x_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))))
% 80.53/80.76  (assume a2586 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_B_2)))))))))))
% 80.53/80.76  (assume a2587 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_B_2)))))))))
% 80.53/80.76  (assume a2588 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_y) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) V_A_2))))))))
% 80.53/80.76  (assume a2589 (forall ((V_N_2 $$unsorted) (V_h_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hAPP V_h_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) B_x) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.hAPP V_h_2 B_x)) (tptp.hAPP V_h_2 B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP V_h_2 (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_N_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_N_2)))))))))
% 80.53/80.76  (assume a2590 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (V_T_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_T_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_T_2) V_S_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_T_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_S_2))))))))
% 80.53/80.76  (assume a2591 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (V_T_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_T_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_T_2) V_S_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_T_2))))))))
% 80.53/80.76  (assume a2592 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_c) (tptp.class_Groups_Oordered__cancel__ab__semigroup__add T_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_c) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_g_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_A_2)))))))))
% 80.53/80.76  (assume a2593 (forall ((V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_na_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_na_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2594 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_a) (=> (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) B_z)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) B_z) (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) B_z) V_x)) V_y))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y))))))
% 80.53/80.76  (assume a2595 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_b) (tptp.class_Groups_Ocomm__monoid__mult T_b)) (=> (= V_A_2 V_B_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint T_b) V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod tptp.tc_Int_Oint T_b) V_g_2) V_B_2))))))))
% 80.53/80.76  (assume a2596 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_x_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2597 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_k_2) V_i_2))))))
% 80.53/80.76  (assume a2598 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_x_2))))))
% 80.53/80.76  (assume a2599 (forall ((V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_k_2)))))
% 80.53/80.76  (assume a2600 (forall ((V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_k_2)))))
% 80.53/80.76  (assume a2601 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_l_2))))))
% 80.53/80.76  (assume a2602 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_l_2) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2603 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_a_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_c_2 V_d_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) V_c_2) V_d_2)))))
% 80.53/80.76  (assume a2604 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_a_2 V_b_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_c_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) V_c_2) V_b_2)))))
% 80.53/80.76  (assume a2605 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2606 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a2607 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a2608 (forall ((V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) V_k_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2609 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_l_2))))))
% 80.53/80.76  (assume a2610 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_l_2))))))
% 80.53/80.76  (assume a2611 (forall ((V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_l_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast T_b) V_l_2)))))
% 80.53/80.76  (assume a2612 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Osgn__if T_a) (and (=> (= V_x (tptp.c_Groups_Ozero__class_Ozero T_a)) (= (tptp.c_Groups_Osgn__class_Osgn T_a V_x) (tptp.c_Groups_Ozero__class_Ozero T_a))) (=> (not (= V_x (tptp.c_Groups_Ozero__class_Ozero T_a))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (= (tptp.c_Groups_Osgn__class_Osgn T_a V_x) (tptp.c_Groups_Oone__class_Oone T_a))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x))) (= (tptp.c_Groups_Osgn__class_Osgn T_a V_x) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a))))))))))
% 80.53/80.76  (assume a2613 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_x_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2614 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.c_Groups_Osgn__class_Osgn T_a (tptp.c_Groups_Osgn__class_Osgn T_a V_a)) (tptp.c_Groups_Osgn__class_Osgn T_a V_a)))))
% 80.53/80.76  (assume a2615 (forall ((V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat) V_k_2))))
% 80.53/80.76  (assume a2616 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (= (tptp.c_Groups_Osgn__class_Osgn T_b V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.76  (assume a2617 (forall ((T_a $$unsorted)) (=> (tptp.class_Groups_Osgn__if T_a) (= (tptp.c_Groups_Osgn__class_Osgn T_a (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a2618 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.c_Groups_Osgn__class_Osgn T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Groups_Osgn__class_Osgn T_a V_a)) (tptp.c_Groups_Osgn__class_Osgn T_a V_b))))))
% 80.53/80.76  (assume a2619 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Osgn__class_Osgn T_b V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.76  (assume a2620 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.c_Groups_Osgn__class_Osgn T_b V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.76  (assume a2621 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_k_2) V_i_2))))))
% 80.53/80.76  (assume a2622 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_y_2) V_x_2))))))
% 80.53/80.76  (assume a2623 (forall ((V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_k_2)))))
% 80.53/80.76  (assume a2624 (forall ((V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_k_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost T_b) V_k_2)))))
% 80.53/80.76  (assume a2625 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (= (tptp.c_Groups_Osgn__class_Osgn T_b V_a_2) (tptp.c_Groups_Oone__class_Oone T_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_a_2))))))
% 80.53/80.76  (assume a2626 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (= (tptp.c_Groups_Osgn__class_Osgn T_a V_a) (tptp.c_Groups_Oone__class_Oone T_a))))))
% 80.53/80.76  (assume a2627 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2628 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_l_2) V_u_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_l_2))))))
% 80.53/80.76  (assume a2629 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a2630 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add T_b) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Groups_Ouminus__class_Ouminus T_b)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan T_b) V_x_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2))))))
% 80.53/80.76  (assume a2631 (forall ((V_u_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost T_b V_l_2 V_u_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan T_b) V_u_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2632 (forall ((V_k_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat) V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_k_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2633 (forall ((V_i $$unsorted)) (and (=> (= V_i (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint V_i) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (=> (not (= V_i (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_i)) (= (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint V_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_i))) (= (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint V_i) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))))
% 80.53/80.76  (assume a2634 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.c_Groups_Osgn__class_Osgn T_a V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Groups_Oone__class_Oone T_a)))))))
% 80.53/80.76  (assume a2635 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (= (tptp.c_Groups_Osgn__class_Osgn T_b V_a_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.c_Groups_Oone__class_Oone T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.76  (assume a2636 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2))))))
% 80.53/80.76  (assume a2637 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)))))))
% 80.53/80.76  (assume a2638 (forall ((V_code__numeral_2 $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case T_b V_f1_2 V_f2_2 (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral_2)) (tptp.hAPP V_f2_2 V_code__numeral_2))))
% 80.53/80.76  (assume a2639 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_d $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) V_z))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_d))) V_z)))))
% 80.53/80.76  (assume a2640 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) V_f_2) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.c_Groups_Oabs__class_Oabs T_b)) V_f_2)) V_A_2))))))
% 80.53/80.76  (assume a2641 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.c_Groups_Oabs__class_Oabs T_b)) V_f_2)) V_A_2))))))
% 80.53/80.76  (assume a2642 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_b) V_a))))))
% 80.53/80.76  (assume a2643 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.c_Groups_Oabs__class_Oabs T_b)) V_f_2)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.c_Groups_Oabs__class_Oabs T_b)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a2644 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_b) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.c_Groups_Oabs__class_Oabs T_b)) V_f_2)) V_A_2)))))
% 80.53/80.76  (assume a2645 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b))))))
% 80.53/80.76  (assume a2646 (forall ((T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.c_Groups_Oone__class_Oone T_a)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.76  (assume a2647 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)))))
% 80.53/80.76  (assume a2648 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (= (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b)) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.76  (assume a2649 (forall ((T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.76  (assume a2650 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)))))
% 80.53/80.76  (assume a2651 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_a)))))
% 80.53/80.76  (assume a2652 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b))))))
% 80.53/80.76  (assume a2653 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b))))))
% 80.53/80.76  (assume a2654 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) V_n)))))
% 80.53/80.76  (assume a2655 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_a) V_n)))))
% 80.53/80.76  (assume a2656 (forall ((V_m $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) V_m))))
% 80.53/80.76  (assume a2657 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b))))))
% 80.53/80.76  (assume a2658 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a))))))
% 80.53/80.76  (assume a2659 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a))))))
% 80.53/80.76  (assume a2660 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) V_a_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))) (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.76  (assume a2661 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a) V_a)))))
% 80.53/80.76  (assume a2662 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a) V_a)))))
% 80.53/80.76  (assume a2663 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) V_a_2))) (not (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.76  (assume a2664 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))))
% 80.53/80.76  (assume a2665 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b)))))))
% 80.53/80.76  (assume a2666 (forall ((V_d $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) V_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b)) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_c) V_d))))))))
% 80.53/80.76  (assume a2667 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b)))) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a2668 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b))) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b)))))))
% 80.53/80.76  (assume a2669 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b))) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_b) V_a)))))))
% 80.53/80.76  (assume a2670 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a))))))
% 80.53/80.76  (assume a2671 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) V_a_2)) V_b_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) V_b_2)))))))
% 80.53/80.76  (assume a2672 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) V_b)))))))
% 80.53/80.76  (assume a2673 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_b))))))
% 80.53/80.76  (assume a2674 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) V_a_2)) V_b_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_a_2)) V_b_2)))))))
% 80.53/80.76  (assume a2675 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (not (= V_b (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b)))))))
% 80.53/80.76  (assume a2676 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a)) V_n)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n))))))
% 80.53/80.76  (assume a2677 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_m) V_n)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_m) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))
% 80.53/80.76  (assume a2678 (forall ((V_k $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_k) (tptp.c_Groups_Osgn__class_Osgn T_a V_k))))))
% 80.53/80.76  (assume a2679 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.c_Groups_Osgn__class_Osgn T_a V_x)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_x)) V_x))))
% 80.53/80.76  (assume a2680 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_y)) V_x) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_x)))))))
% 80.53/80.76  (assume a2681 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Oordered__ring__abs T_a) (=> (and (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_b) (tptp.c_Groups_Ozero__class_Ozero T_a))))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b)))))))
% 80.53/80.76  (assume a2682 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_b)))))))
% 80.53/80.76  (assume a2683 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_c) V_d)))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_a) V_c))) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_b) V_d))))))))
% 80.53/80.76  (assume a2684 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a))) (tptp.c_Groups_Ozero__class_Ozero T_a))))))
% 80.53/80.76  (assume a2685 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a))))))
% 80.53/80.76  (assume a2686 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a))))))
% 80.53/80.76  (assume a2687 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Oabs__if T_a) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_a))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a)))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a) V_a))))))
% 80.53/80.76  (assume a2688 (forall ((V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) V_n))))))
% 80.53/80.76  (assume a2689 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field__inverse__zero T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_x)) V_y) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_a) V_x) V_y)))))))
% 80.53/80.76  (assume a2690 (forall ((T_a $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_a) (tptp.class_Rings_Olinordered__idom T_a)) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.76  (assume a2691 (forall ((V_z_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_z_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) (= V_z_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))))
% 80.53/80.76  (assume a2692 (forall ((V_i $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_i) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_i) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_i))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_i) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_i) V_i)))))
% 80.53/80.76  (assume a2693 (forall ((V_z $$unsorted) (V_w $$unsorted)) (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) V_w) V_z))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_w))) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_z))))))
% 80.53/80.76  (assume a2694 (forall ((V_n $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_x)) V_n)))))
% 80.53/80.76  (assume a2695 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))
% 80.53/80.76  (assume a2696 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_a) (tptp.class_Rings_Olinordered__idom T_a)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_x)) (tptp.c_Groups_Ozero__class_Ozero T_a))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_x)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_x)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_x)) (tptp.c_Groups_Ozero__class_Ozero T_a)))) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_x)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) V_x)))))))
% 80.53/80.76  (assume a2697 (forall ((V_n $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Int_Onumber__ring T_a) (tptp.class_Rings_Olinordered__idom T_a)) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_a) tptp.c_Int_OMin)) V_n)) (tptp.c_Groups_Oone__class_Oone T_a)))))
% 80.53/80.76  (assume a2698 (forall ((V_na_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_x_2)) V_na_2))) (or (not (= V_x_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.76  (assume a2699 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (= (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))
% 80.53/80.76  (assume a2700 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.76  (assume a2701 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_a)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls))))))))
% 80.53/80.76  (assume a2702 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (and (= (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2)))))))
% 80.53/80.76  (assume a2703 (forall ((V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)))))))
% 80.53/80.76  (assume a2704 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2)) (= (= (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2))))))))
% 80.53/80.76  (assume a2705 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))
% 80.53/80.76  (assume a2706 (forall ((V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__case T_b V_f1_2 V_f2_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) V_f1_2)))
% 80.53/80.76  (assume a2707 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_d $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_x) V_z))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) V_d)))))))
% 80.53/80.76  (assume a2708 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odivmod__int V_k_2 V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (=> (not (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (and (=> (= V_l_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odivmod__int V_k_2 V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2))) (=> (not (= V_l_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odivmod__int V_k_2 V_l_2) (tptp.hAPP (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint V_l_2))) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP tptp.c_fdisj (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_l_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2))) (tptp.hAPP (tptp.hAPP tptp.c_fconj (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_l_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_k_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.c_Divides_Opdivmod V_k_2 V_l_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_If (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_l_2))))) (tptp.c_Divides_Opdivmod V_k_2 V_l_2)))))))))))
% 80.53/80.76  (assume a2709 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.hAPP tptp.c_Nitpick_Oint__gcd V_x) V_y) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Nitpick_Onat__gcd (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_x)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_y)))))))
% 80.53/80.76  (assume a2710 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odivmod__int V_k_2 V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (=> (not (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (and (=> (= V_l_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Odivmod__int V_k_2 V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_k_2))) (=> (not (= V_l_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Odivmod__int V_k_2 V_l_2) (tptp.hAPP (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint V_l_2))) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP tptp.c_fequal (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint V_k_2)) (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint V_l_2))) (tptp.c_Divides_Opdivmod V_k_2 V_l_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_If (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint))) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) tptp.tc_Int_Oint) (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_l_2))))) (tptp.c_Divides_Opdivmod V_k_2 V_l_2)))))))))))
% 80.53/80.76  (assume a2711 (forall ((V_k $$unsorted) (V_l $$unsorted)) (and (=> (= V_l (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (= (tptp.c_Divides_Opdivmod V_k V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_k)))) (=> (not (= V_l (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))) (= (tptp.c_Divides_Opdivmod V_k V_l) (tptp.c_Divides_OposDivAlg (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_k) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_l)))))))
% 80.53/80.76  (assume a2712 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_d) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) (tptp.hAPP V_f_2 V_y_2)))))
% 80.53/80.76  (assume a2713 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_b V_f_2) V_x_2)) (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_d) V_x_2))))
% 80.53/80.76  (assume a2714 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (= (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_b V_f_2) V_x_2) (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_b V_g_2) V_x_2)) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_d) V_x_2)) (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_b T_d) V_x_2))))))
% 80.53/80.76  (assume a2715 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_b) (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_b T_c V_f_2) V_x_2)) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_d) V_x_2)))))
% 80.53/80.76  (assume a2716 (= tptp.c_Divides_OnegateSnd (tptp.c_Product__Type_Oapsnd tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint))))
% 80.53/80.76  (assume a2717 (forall ((V_x $$unsorted) (V_y $$unsorted)) (and (=> (= V_y (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.c_Nitpick_Onat__gcd V_x V_y) V_x)) (=> (not (= V_y (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.c_Nitpick_Onat__gcd V_x V_y) (tptp.c_Nitpick_Onat__gcd V_y (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_x V_y)))))))
% 80.53/80.76  (assume a2718 (forall ((V_l $$unsorted) (V_k $$unsorted)) (= (tptp.c_Divides_Opdivmod V_k V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_k)) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_l))) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_k) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_l))))))
% 80.53/80.76  (assume a2719 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nitpick_Onat__gcd__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_x_2) V_y_2))) (and (=> (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.c_Nitpick_Onat__gcd V_x_2 V_y_2) V_x_2)) (=> (not (= V_y_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.c_Nitpick_Onat__gcd V_x_2 V_y_2) (tptp.c_Nitpick_Onat__gcd V_y_2 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_x_2 V_y_2))))))))
% 80.53/80.76  (assume a2720 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.c_Nitpick_Onat__lcm V_x V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_x) V_y)) (tptp.c_Nitpick_Onat__gcd V_x V_y)))))
% 80.53/80.76  (assume a2721 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.c_Equiv__Relations_Oquotient T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_r_2) V_A_2) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))
% 80.53/80.76  (assume a2722 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2))))))))
% 80.53/80.76  (assume a2723 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2724 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2)) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2725 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2726 (forall ((V_Y_2 $$unsorted) (V_X_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Y_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (or (= V_X_2 V_Y_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) V_Y_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))
% 80.53/80.76  (assume a2727 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.c_Equiv__Relations_Oquotient T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_r_2) V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_r_2)))))))
% 80.53/80.76  (assume a2728 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))))))
% 80.53/80.76  (assume a2729 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_Y_2 $$unsorted) (V_X_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Y_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_X_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_Y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (= V_X_2 V_Y_2)))))))))
% 80.53/80.76  (assume a2730 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_Y_2 $$unsorted) (V_X_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Y_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_X_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_Y_2)) (= (= V_X_2 V_Y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2))))))))))
% 80.53/80.76  (assume a2731 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2732 (forall ((V_y $$unsorted) (V_x $$unsorted)) (= (tptp.c_Nitpick_Oint__lcm V_x V_y) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Nitpick_Onat__lcm (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_x)) (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) V_y)))))))
% 80.53/80.76  (assume a2733 (forall ((V_Pa_2 $$unsorted) (V_a1_2 $$unsorted) (V_a0_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nitpick_Onat__gcd__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_a0_2) V_a1_2))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nitpick_Onat__gcd__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) B_x) B_y))) (=> (=> (not (= B_y (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_y) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat B_x B_y)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_x) B_y))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_a0_2) V_a1_2))))))
% 80.53/80.76  (assume a2734 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (V_X_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (not (forall ((B_x $$unsorted)) (=> (= V_X_2 (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) B_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)))))))))
% 80.53/80.76  (assume a2735 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.c_Relation_OImage T_b T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2736 (forall ((T_c $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_b_2))))))
% 80.53/80.76  (assume a2737 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_B_2 B_x)))))))))
% 80.53/80.76  (assume a2738 (forall ((V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_b_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 B_x) V_b_2)))))))
% 80.53/80.76  (assume a2739 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.c_Relation_OImage T_c T_b V_r_2)) V_B_2)))))
% 80.53/80.76  (assume a2740 (forall ((V_B_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.c_Relation_OImage T_c T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_c)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2741 (forall ((V_B_2 $$unsorted) (V_b_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP V_B_2 V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.76  (assume a2742 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_Set_OPow T_b)) V_B_2))) (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2743 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Set_Oinsert T_b)) V_f_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2744 (forall ((V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_r2_2 $$unsorted) (V_A2_2 $$unsorted) (T_c $$unsorted) (V_r1_2 $$unsorted) (V_A1_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A1_2 V_r1_2) (=> (tptp.c_Equiv__Relations_Oequiv T_c V_A2_2 V_r2_2) (=> (tptp.c_Equiv__Relations_Ocongruent2 T_b T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool) V_r1_2 V_r2_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a1_2) V_A1_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_a2_2) V_A2_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r1_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a1_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_c V_r2_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a2_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))) V_f_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_a1_2) V_a2_2)))))))))
% 80.53/80.76  (assume a2745 (forall ((V_Pa_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) (tptp.hAPP V_B_2 B_x))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_xa)))))))))
% 80.53/80.76  (assume a2746 (forall ((V_k_2 $$unsorted) (V_M_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) V_M_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) V_k_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_k_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_k_2))) V_M_2))))
% 80.53/80.76  (assume a2747 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_b) T_b T_c) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d T_b) V_B_2)) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d T_b) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_b) T_b T_d) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c T_b) V_A_2)) (tptp.hAPP (tptp.c_COMBC T_c T_d T_b) V_f_2)))))))
% 80.53/80.76  (assume a2748 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2))))
% 80.53/80.76  (assume a2749 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_d) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)) V_C_2)))))
% 80.53/80.76  (assume a2750 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_d) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)) V_C_2)))))
% 80.53/80.76  (assume a2751 (forall ((V_z2_2 $$unsorted) (V_y2_2 $$unsorted) (V_z1_2 $$unsorted) (V_y1_2 $$unsorted) (V_f_2 $$unsorted) (V_r2_2 $$unsorted) (V_r1_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Ocongruent2 T_b T_c T_d V_r1_2 V_r2_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y1_2) V_z1_2)) V_r1_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_c) V_y2_2) V_z2_2)) V_r2_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 V_y1_2) V_y2_2) (tptp.hAPP (tptp.hAPP V_f_2 V_z1_2) V_z2_2)))))))
% 80.53/80.76  (assume a2752 (forall ((V_M_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_na_2)) V_M_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) V_na_2)) V_M_2)) (tptp.hAPP V_M_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.76  (assume a2753 (forall ((V_u_2 $$unsorted) (V_M_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c T_b) V_A_2) V_M_2)) V_u_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP V_M_2 B_x)) V_u_2))))))))
% 80.53/80.76  (assume a2754 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (tptp.class_Orderings_Olinorder T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c T_b) V_A_2) V_f_2))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.hAPP V_f_2 B_x)))))))))
% 80.53/80.76  (assume a2755 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP V_B_2 B_x))))))))
% 80.53/80.76  (assume a2756 (forall ((V_M_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK T_c T_b) V_M_2)) V_M_2)))))
% 80.53/80.76  (assume a2757 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (= (tptp.hAPP V_B_2 B_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2758 (forall ((V_c_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (and (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_c_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_c_2)) V_c_2)))))
% 80.53/80.76  (assume a2759 (forall ((V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2760 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (= (tptp.hAPP V_B_2 B_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2761 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) V_B_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_I_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP V_A_2 B_x)) V_B_2)))))))
% 80.53/80.76  (assume a2762 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_d T_c V_f_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) V_B_2) V_f_2)))))
% 80.53/80.76  (assume a2763 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.c_Set_Oimage T_c T_b V_f_2)) V_B_2)))))
% 80.53/80.76  (assume a2764 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_B_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_d V_f_2) V_A_2)) V_B_2))))
% 80.53/80.76  (assume a2765 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_B_2)))))
% 80.53/80.76  (assume a2766 (forall ((V_M_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_M_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_M_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_M_2)))))
% 80.53/80.76  (assume a2767 (forall ((V_B_2 $$unsorted) (V_J_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_J_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_J_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_c) (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2))) V_B_2))))))
% 80.53/80.76  (assume a2768 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)))))
% 80.53/80.76  (assume a2769 (forall ((V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)) V_A_2)))))
% 80.53/80.76  (assume a2770 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_B_2)))))
% 80.53/80.76  (assume a2771 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2))))
% 80.53/80.76  (assume a2772 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))
% 80.53/80.76  (assume a2773 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_d T_b)) V_A_2) V_f_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_d T_b) V_f_2) V_x_2))))))
% 80.53/80.76  (assume a2774 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2))))
% 80.53/80.76  (assume a2775 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)))))
% 80.53/80.76  (assume a2776 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b T_c) V_A_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b T_c) V_B_2) V_f_2)))))))
% 80.53/80.76  (assume a2777 (forall ((V_M_2 $$unsorted) (V_A_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_M_2 V_i_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b T_c) V_A_2) V_M_2)))))))
% 80.53/80.76  (assume a2778 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_u_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_u_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2779 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP V_B_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2780 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (V_I_2 $$unsorted) (V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_k_2) V_I_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP V_A_2 V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_I_2) V_A_2)))))
% 80.53/80.76  (assume a2781 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2)) V_B_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))))
% 80.53/80.76  (assume a2782 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_A_2)))
% 80.53/80.76  (assume a2783 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2)) V_B_2)))))))
% 80.53/80.76  (assume a2784 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))))
% 80.53/80.76  (assume a2785 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2))))))
% 80.53/80.76  (assume a2786 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) V_A_2)) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)))))))
% 80.53/80.76  (assume a2787 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) V_B_2)) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)))))))
% 80.53/80.76  (assume a2788 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP V_B_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.76  (assume a2789 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_r2_2 $$unsorted) (V_A2_2 $$unsorted) (T_c $$unsorted) (V_r1_2 $$unsorted) (V_A1_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A1_2 V_r1_2) (=> (tptp.c_Equiv__Relations_Oequiv T_c V_A2_2 V_r2_2) (=> (tptp.c_Equiv__Relations_Ocongruent2 T_b T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool) V_r1_2 V_r2_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_a_2) V_A2_2)) (tptp.c_Equiv__Relations_Ocongruent T_b (tptp.tc_fun T_d tptp.tc_HOL_Obool) V_r1_2 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_c V_r2_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))) V_f_2))))))))
% 80.53/80.76  (assume a2790 (forall ((V_z_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_z_2) (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.hAPP tptp.c_Int_ORep__Integ V_z_2)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.c_Relation_OImage (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Int_Ointrel))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_Set_Oinsert (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat))))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))))))))))
% 80.53/80.76  (assume a2791 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.c_Equiv__Relations_Ocongruent T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_r_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_f_2) (tptp.hAPP V_f_2 V_a_2)))))))
% 80.53/80.76  (assume a2792 (forall ((T_d $$unsorted) (T_c $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_B_2 V_a_2) V_b_2) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_b_2) V_c_2))))))
% 80.53/80.76  (assume a2793 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Int_ORep__Integ V_x_2) (tptp.hAPP tptp.c_Int_ORep__Integ V_y_2)) (= V_x_2 V_y_2))))
% 80.53/80.76  (assume a2794 (forall ((V_x_2 $$unsorted)) (= (tptp.hAPP tptp.c_Int_OAbs__Integ (tptp.hAPP tptp.c_Int_ORep__Integ V_x_2)) V_x_2)))
% 80.53/80.76  (assume a2795 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_f_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Ocongruent T_b T_c V_r_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_z_2)) V_r_2)) (= (tptp.hAPP V_f_2 V_y_2) (tptp.hAPP V_f_2 V_z_2))))))
% 80.53/80.76  (assume a2796 (forall ((V_z_2 $$unsorted)) (= (tptp.hAPP tptp.c_Int_Onat V_z_2) (tptp.c_Set_Othe__elem tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP tptp.c_Int_ORep__Integ V_z_2)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) tptp.tc_Nat_Onat) (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_Set_Oinsert tptp.tc_Nat_Onat))) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))))))
% 80.53/80.76  (assume a2797 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (V_r2_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (V_r1_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r1_2) (=> (tptp.c_Equiv__Relations_Ocongruent2 T_b T_c T_d V_r1_2 V_r2_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.c_Equiv__Relations_Ocongruent T_c T_d V_r2_2 (tptp.hAPP V_f_2 V_a_2)))))))
% 80.53/80.76  (assume a2798 (forall ((V_Y_2 $$unsorted) (V_X_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.c_Equiv__Relations_Ocongruent T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_r_2 V_f_2) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_X_2) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_Y_2) V_f_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Y_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) V_A_2)) (=> (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_f_2 B_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_y)) V_r_2))))))) (= V_X_2 V_Y_2)))))))))
% 80.53/80.76  (assume a2799 (forall ((V_B_2 $$unsorted) (V_X2_2 $$unsorted) (V_X1_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_r2_2 $$unsorted) (V_A2_2 $$unsorted) (T_c $$unsorted) (V_r1_2 $$unsorted) (V_A1_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A1_2 V_r1_2) (=> (tptp.c_Equiv__Relations_Oequiv T_c V_A2_2 V_r2_2) (=> (tptp.c_Equiv__Relations_Ocongruent2 T_b T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool) V_r1_2 V_r2_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X1_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A1_2) V_r1_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_X2_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_c) V_A2_2) V_r2_2))) (=> (forall ((B_x1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x1) V_A1_2)) (forall ((B_x2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x2) V_A2_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP V_f_2 B_x1) B_x2)) V_B_2)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_d tptp.tc_HOL_Obool)) V_X1_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) V_X2_2)) V_f_2))) V_B_2))))))))))
% 80.53/80.76  (assume a2800 (forall ((V_B_2 $$unsorted) (V_X_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (tptp.c_Equiv__Relations_Ocongruent T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_r_2 V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP V_f_2 B_x)) V_B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_X_2) V_f_2)) V_B_2))))))))
% 80.53/80.76  (assume a2801 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_b_2) V_c_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_B_2 B_x) V_b_2) V_c_2)))))))
% 80.53/80.76  (assume a2802 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_OId__on T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) T_b) (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b (tptp.tc_prod T_b T_b)) (tptp.c_Product__Type_OPair T_b T_b)) (tptp.c_COMBI T_b)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2803 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapfst T_d T_b T_c V_f_2) (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_e T_c T_d V_g_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_d T_e) V_x_2))) (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_d T_e) V_x_2))))))
% 80.53/80.76  (assume a2804 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_b V_f_2) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_e T_b T_d V_g_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_e T_d) V_x_2))) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_e T_d) V_x_2))))))
% 80.53/80.76  (assume a2805 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapfst T_d T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_d T_c) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) (tptp.hAPP V_f_2 V_x_2)) V_y_2))))
% 80.53/80.76  (assume a2806 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (= (= (tptp.hAPP (tptp.c_Product__Type_Oapfst T_d T_b T_c V_f_2) V_x_2) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_d T_b T_c V_g_2) V_x_2)) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_d T_c) V_x_2)) (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_d T_c) V_x_2))))))
% 80.53/80.76  (assume a2807 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_d T_b T_c V_f_2) V_x_2)) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_d T_c) V_x_2)))))
% 80.53/80.76  (assume a2808 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_b) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_d T_c T_b V_f_2) V_x_2)) (tptp.hAPP (tptp.c_Product__Type_Osnd T_d T_b) V_x_2))))
% 80.53/80.76  (assume a2809 (forall ((V_p_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_b V_f_2) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_e T_b T_d V_g_2) V_p_2)) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_e T_b T_c V_g_2) (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_e V_f_2) V_p_2)))))
% 80.53/80.76  (assume a2810 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_OId__on T_b V_A_2) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) tptp.c_fequal))) V_A_2)))))
% 80.53/80.76  (assume a2811 (forall ((T_b $$unsorted)) (= (tptp.c_Relation_OId__on T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2812 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_b T_b (tptp.c_Relation_OId__on T_b V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.76  (assume a2813 (forall ((V_A_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Relation_OId__on T_b V_A_2))) (and (= V_x_2 V_y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))))))
% 80.53/80.76  (assume a2814 (forall ((V_A_2 $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (= V_a_2 V_b_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Relation_OId__on T_b V_A_2)))))))
% 80.53/80.76  (assume a2815 (forall ((V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_c_2) (tptp.c_Relation_OId__on T_b V_A_2))) (not (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (not (= V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)))))))))
% 80.53/80.76  (assume a2816 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) (tptp.c_Orderings_Obot__class_Obot T_a)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y) (tptp.c_Orderings_Otop__class_Otop T_a)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x) V_y))))))
% 80.53/80.76  (assume a2817 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_b) (tptp.class_Groups_Ocomm__monoid__mult T_b)) (=> (= V_A_2 V_B_2) (=> (tptp.c_Nat__Transfer_Onat__set V_B_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint T_b) V_f_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint T_b) V_g_2) V_B_2))))))))
% 80.53/80.76  (assume a2818 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2819 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Otop T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.c_Orderings_Otop__class_Otop T_a))))))
% 80.53/80.76  (assume a2820 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2821 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2822 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Product__Type_Ounit) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_HOL_Obool))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))
% 80.53/80.76  (assume a2823 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Sum__Type_OPlus T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_sum T_b T_c) tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2824 (forall ((V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Otop T_b) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c T_b)) V_x_2) (tptp.c_Orderings_Otop__class_Otop T_b)))))
% 80.53/80.76  (assume a2825 (forall ((V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2826 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2827 (forall ((T_b $$unsorted)) (not (= (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2828 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2829 (forall ((T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b T_c)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_fun T_b T_c) tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2830 (forall ((T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_Option_Ooption T_b)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_Option_Ooption T_b) tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2831 (forall ((T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2832 (forall ((T_b $$unsorted)) (=> (tptp.class_Finite__Set_Ofinite T_b) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2833 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_sum T_b T_c)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_sum T_b T_c) tptp.tc_HOL_Obool)))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2834 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))
% 80.53/80.76  (assume a2835 (forall ((V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2) V_B_2)))
% 80.53/80.76  (assume a2836 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_d T_b T_c) V_f_2) V_g_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_d V_g_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2837 (tptp.c_Equiv__Relations_Oequiv (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) tptp.c_Int_Ointrel))
% 80.53/80.76  (assume a2838 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Int_Oint) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2839 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.76  (assume a2840 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2841 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.76  (assume a2842 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__top T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.c_Orderings_Otop__class_Otop T_a)) V_x) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 80.53/80.76  (assume a2843 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__top T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.c_Orderings_Otop__class_Otop T_a)) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 80.53/80.76  (assume a2844 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__top T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.c_Orderings_Otop__class_Otop T_a)) V_x) V_x))))
% 80.53/80.76  (assume a2845 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__top T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.c_Orderings_Otop__class_Otop T_a)) V_x))))
% 80.53/80.76  (assume a2846 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__top T_b) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) V_y_2) (tptp.c_Orderings_Otop__class_Otop T_b)) (and (= V_x_2 (tptp.c_Orderings_Otop__class_Otop T_b)) (= V_y_2 (tptp.c_Orderings_Otop__class_Otop T_b)))))))
% 80.53/80.76  (assume a2847 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.76  (assume a2848 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.76  (assume a2849 (forall ((T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2850 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (=> (= V_b_2 (tptp.hAPP V_f_2 V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2851 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.76  (assume a2852 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2853 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= V_A_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2854 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2)) (= V_A_2 V_B_2)))))
% 80.53/80.76  (assume a2855 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2856 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2857 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2858 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2859 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2860 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2))))
% 80.53/80.76  (assume a2861 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c))) V_r_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2))))))
% 80.53/80.76  (assume a2862 (forall ((V_f_2 $$unsorted) (T_d $$unsorted) (V_g_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_g_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_d) (tptp.hAPP (tptp.c_Set_Oimage T_c T_d (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_d T_c) V_f_2) V_g_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2863 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2) (tptp.hAPP V_f_2 V_x_2)) V_x_2))))
% 80.53/80.76  (assume a2864 (forall ((T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b T_c)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_fun T_b T_c) tptp.tc_HOL_Obool)))) (=> (not (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2865 (forall ((T_b $$unsorted)) (=> (tptp.class_Nat_Osemiring__char__0 T_b) (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat T_b (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2866 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeast tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.76  (assume a2867 (forall ((T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on T_b (tptp.tc_fun T_d T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_d T_c) T_b) (tptp.c_COMBK T_c T_d)) V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2868 (forall ((T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Orderings_Otop__class_Otop T_a)) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 80.53/80.76  (assume a2869 (forall ((T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 80.53/80.76  (assume a2870 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) V_x) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 80.53/80.76  (assume a2871 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 80.53/80.76  (assume a2872 (forall ((V_b_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (exists ((B_x $$unsorted)) (and (= V_b_2 (tptp.hAPP V_f_2 B_x)) (forall ((B_y $$unsorted)) (=> (= V_b_2 (tptp.hAPP V_f_2 B_y)) (= B_y B_x)))))))))
% 80.53/80.76  (assume a2873 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))))))
% 80.53/80.76  (assume a2874 (forall ((V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.c_Fun_Oinj__on T_b T_b V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2875 (forall ((V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on T_b T_b V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.76  (assume a2876 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.76  (assume a2877 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2))))))
% 80.53/80.76  (assume a2878 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2))))))
% 80.53/80.76  (assume a2879 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)))))))
% 80.53/80.76  (assume a2880 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) V_A_2))))
% 80.53/80.76  (assume a2881 (forall ((T_b $$unsorted)) (tptp.c_Fun_Oinj__on T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2882 (forall ((T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2883 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))))
% 80.53/80.76  (assume a2884 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2))) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)))))))
% 80.53/80.76  (assume a2885 (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2886 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_c) (tptp.c_COMBC T_d (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_prod T_c T_d)) (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_c) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_d) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_d) (tptp.c_member (tptp.tc_prod T_c T_d)))) (tptp.c_Product__Type_OPair T_c T_d))))) V_r_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2))))))
% 80.53/80.76  (assume a2887 (forall ((V_B_2 $$unsorted) (V_k_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) B_n)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) B_n) V_k_2))) V_B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) V_B_2))))))
% 80.53/80.76  (assume a2888 (forall ((V_B_2 $$unsorted) (V_k_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) B_n)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) B_n) V_k_2))) V_B_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) V_B_2)))))
% 80.53/80.76  (assume a2889 (forall ((V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) B_n)) V_A_2)) V_C_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) V_A_2)) V_C_2)))))
% 80.53/80.76  (assume a2890 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2))))
% 80.53/80.76  (assume a2891 (= tptp.c_Int_OInteg (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool))) tptp.c_Int_Ointrel)))
% 80.53/80.76  (assume a2892 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.76  (assume a2893 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Equiv__Relations_Oequiv T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Equiv__Relations_Oequivp T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b)))) (tptp.c_Product__Type_OPair T_b T_b)))) V_A_2)))))
% 80.53/80.76  (assume a2894 (forall ((T_b $$unsorted)) (tptp.c_Equiv__Relations_Oequivp T_b tptp.c_fequal)))
% 80.53/80.76  (assume a2895 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_y)) (= (tptp.hAPP V_R_2 B_x) (tptp.hAPP V_R_2 B_y)))))))
% 80.53/80.76  (assume a2896 (forall ((V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_x_2)))))
% 80.53/80.76  (assume a2897 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_y_2) V_x_2))))))
% 80.53/80.76  (assume a2898 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_y_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_z_2)))))))
% 80.53/80.76  (assume a2899 (forall ((V_x_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) (tptp.hAPP tptp.c_Int_ORep__Integ V_x_2)) tptp.c_Int_OInteg))))
% 80.53/80.76  (assume a2900 (tptp.c_Typedef_Otype__definition tptp.tc_Int_Oint (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool) tptp.c_Int_ORep__Integ tptp.c_Int_OAbs__Integ tptp.c_Int_OInteg))
% 80.53/80.76  (assume a2901 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) (tptp.c_HOL_OThe T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2)) V_a_2))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.76  (assume a2902 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b)))) (tptp.c_Product__Type_OPair T_b T_b)))) V_r_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))))))
% 80.53/80.76  (assume a2903 (forall ((T_c $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted)) (=> (= (tptp.hAPP V_f_2 V_a_2) V_b_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_a_2) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_B_2)))))))
% 80.53/80.76  (assume a2904 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2)))))
% 80.53/80.76  (assume a2905 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) (tptp.hAPP V_f_2 V_a_2)) V_B_2)))))
% 80.53/80.76  (assume a2906 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) (tptp.hAPP V_f_2 V_a_2)) V_A_2)))))
% 80.53/80.76  (assume a2907 (forall ((T_c $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_a_2)) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_a_2) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_A_2))))))
% 80.53/80.76  (assume a2908 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_B_2))))))
% 80.53/80.76  (assume a2909 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.76  (assume a2910 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2)))))
% 80.53/80.77  (assume a2911 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_A_2) V_x_2)) (tptp.hBOOL (tptp.hAPP V_A_2 (tptp.hAPP V_f_2 V_x_2))))))
% 80.53/80.77  (assume a2912 (forall ((V_Y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_b (tptp.c_COMBI T_b)) V_Y_2) V_Y_2)))
% 80.53/80.77  (assume a2913 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_A_2)))))
% 80.53/80.77  (assume a2914 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_A_2)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2)))))
% 80.53/80.77  (assume a2915 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.c_Set_Ovimage T_b T_c V_f_2)) V_B_2)))))
% 80.53/80.77  (assume a2916 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a2917 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_A_2))) V_A_2))))
% 80.53/80.77  (assume a2918 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_A_2)) V_A_2))))
% 80.53/80.77  (assume a2919 (forall ((V_R2_2 $$unsorted) (V_R1_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R1_2) V_R2_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Oacc T_b V_R2_2)) (tptp.c_Wellfounded_Oacc T_b V_R1_2))))))
% 80.53/80.77  (assume a2920 (forall ((V_b_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))) (= (tptp.hAPP V_f_2 V_a_2) V_b_2))))
% 80.53/80.77  (assume a2921 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2)))))
% 80.53/80.77  (assume a2922 (forall ((V_F_2 $$unsorted) (V_h_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_h_2) V_F_2))) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_h_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_F_2))))))
% 80.53/80.77  (assume a2923 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_B_2)) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))))
% 80.53/80.77  (assume a2924 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a2925 (forall ((V_h_2 $$unsorted) (T_c $$unsorted) (V_F_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_F_2)) (=> (tptp.c_Fun_Oinj__on T_c T_b V_h_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b V_h_2) V_F_2)))))))
% 80.53/80.77  (assume a2926 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) V_A_2))))
% 80.53/80.77  (assume a2927 (forall ((T_c $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b (tptp.hAPP (tptp.c_COMBK T_b T_c) V_c_2)) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))) (= (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b (tptp.hAPP (tptp.c_COMBK T_b T_c) V_c_2)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a2928 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.c_Set_Ovimage T_b T_c V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_c)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a2929 (forall ((V_r_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) V_a_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.c_Wellfounded_Oacc T_b V_r_2))))))))
% 80.53/80.77  (assume a2930 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Wellfounded_Oacc T_b V_r_2)))))))
% 80.53/80.77  (assume a2931 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2)) V_A_2))))))
% 80.53/80.77  (assume a2932 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_d_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_d_2) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) T_c) (tptp.c_If T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_B_2))) V_c_2)) V_d_2)) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_d_2) V_A_2))) (= (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) T_c) (tptp.c_If T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_B_2))) V_c_2)) V_d_2)) V_A_2) V_B_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_c_2) V_A_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_d_2) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) T_c) (tptp.c_If T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_B_2))) V_c_2)) V_d_2)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_d_2) V_A_2))) (= (tptp.hAPP (tptp.c_Set_Ovimage T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) T_c) (tptp.c_If T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_B_2))) V_c_2)) V_d_2)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))))
% 80.53/80.77  (assume a2933 (forall ((V_A_2 $$unsorted) (V_Abs_2 $$unsorted) (V_Rep_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Typedef_Otype__definition T_b T_c V_Rep_2 V_Abs_2 V_A_2) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_Abs_2) V_A_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a2934 (forall ((V_A_2 $$unsorted) (V_Abs_2 $$unsorted) (V_Rep_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Typedef_Otype__definition T_b T_c V_Rep_2 V_Abs_2 V_A_2) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_Rep_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2))))
% 80.53/80.77  (assume a2935 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_Abs_2 $$unsorted) (V_Rep_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Typedef_Otype__definition T_b T_c V_Rep_2 V_Abs_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_y_2) V_A_2)) (= (= (tptp.hAPP V_Abs_2 V_x_2) (tptp.hAPP V_Abs_2 V_y_2)) (= V_x_2 V_y_2)))))))
% 80.53/80.77  (assume a2936 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_Abs_2 $$unsorted) (V_Rep_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Typedef_Otype__definition T_b T_c V_Rep_2 V_Abs_2 V_A_2) (= (= (tptp.hAPP V_Rep_2 V_x_2) (tptp.hAPP V_Rep_2 V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.77  (assume a2937 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_Abs_2 $$unsorted) (V_Rep_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Typedef_Otype__definition T_b T_c V_Rep_2 V_Abs_2 V_A_2) (= (tptp.hAPP V_Abs_2 (tptp.hAPP V_Rep_2 V_x_2)) V_x_2))))
% 80.53/80.77  (assume a2938 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_Abs_2 $$unsorted) (V_Rep_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Typedef_Otype__definition T_b T_c V_Rep_2 V_Abs_2 V_A_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) (tptp.hAPP V_Rep_2 V_x_2)) V_A_2)))))
% 80.53/80.77  (assume a2939 (forall ((V_y_2 $$unsorted) (V_A_2 $$unsorted) (V_Abs_2 $$unsorted) (V_Rep_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Typedef_Otype__definition T_b T_c V_Rep_2 V_Abs_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_y_2) V_A_2)) (= (tptp.hAPP V_Rep_2 (tptp.hAPP V_Abs_2 V_y_2)) V_y_2)))))
% 80.53/80.77  (assume a2940 (forall ((V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Omax__extp T_b V_R_2 V_a1_2 V_a2_2) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_a1_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_a2_2)) (not (= V_a2_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_a1_2)) (exists ((B_xa $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_a2_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_xa))))))))))
% 80.53/80.77  (assume a2941 (forall ((V_R_2 $$unsorted) (V_Y_2 $$unsorted) (V_X_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_X_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_Y_2)) (=> (not (= V_Y_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_X_2)) (exists ((B_xa $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_Y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_xa)) V_R_2)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) V_Y_2)) (tptp.c_Wellfounded_Omax__ext T_b V_R_2)))))))))
% 80.53/80.77  (assume a2942 (forall ((T_a $$unsorted)) (= (tptp.c_Nitpick_Ozero__frac T_a) (tptp.c_Nitpick_OAbs__Frac T_a (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a2943 (forall ((T_a $$unsorted)) (= (tptp.c_Nitpick_Oone__frac T_a) (tptp.c_Nitpick_OAbs__Frac T_a (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a2944 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nitpick_Onumber__of__frac T_a V_n) (tptp.c_Nitpick_OAbs__Frac T_a (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a2945 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nitpick_Ofrac T_a) V_a) V_b) (tptp.c_Nitpick_OAbs__Frac T_a (tptp.c_Nitpick_Onorm__frac V_a V_b)))))
% 80.53/80.77  (assume a2946 (forall ((V_A_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_d (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_d T_c (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) T_d) (tptp.c_Product__Type_OPair T_b T_c)) V_f_2)) V_g_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Set_Oimage T_d T_c V_g_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.c_Set_Ovimage T_d T_b V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) V_A_2))))))
% 80.53/80.77  (assume a2947 (forall ((V_k_2 $$unsorted) (V_f_2 $$unsorted) (V_na_2 $$unsorted)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) B_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (tptp.hAPP V_f_2 B_i)))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP V_f_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_k_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) (tptp.hAPP V_f_2 V_na_2))) (exists ((B_i $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_i) V_na_2)) (= (tptp.hAPP V_f_2 B_i) V_k_2))))))))
% 80.53/80.77  (assume a2948 (forall ((V_k_2 $$unsorted) (V_f_2 $$unsorted) (V_na_2 $$unsorted)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) B_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (tptp.hAPP V_f_2 B_i)))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP V_f_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_k_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) (tptp.hAPP V_f_2 V_na_2))) (exists ((B_i $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_i) V_na_2)) (= (tptp.hAPP V_f_2 B_i) V_k_2))))))))
% 80.53/80.77  (assume a2949 (forall ((V_B_2 $$unsorted) (V_b_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP V_B_2 V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2)))))))
% 80.53/80.77  (assume a2950 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_B_2)))))
% 80.53/80.77  (assume a2951 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_B_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2))))))
% 80.53/80.77  (assume a2952 (forall ((V_C_2 $$unsorted) (V_J_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_J_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_J_2) V_C_2)))))
% 80.53/80.77  (assume a2953 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_C_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_C_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_B_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_C_2))) (= V_A_2 V_B_2)))))
% 80.53/80.77  (assume a2954 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a2955 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2)))))
% 80.53/80.77  (assume a2956 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_b) (tptp.tc_fun (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) T_c) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_d T_b)) V_f_2)) V_B_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (tptp.tc_prod T_c T_d) T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_d) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_c) V_B_2)))))))
% 80.53/80.77  (assume a2957 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) (or (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a2958 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a2959 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2))))))
% 80.53/80.77  (assume a2960 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a2961 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_b) (tptp.tc_fun (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) T_c) (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_d T_b)) V_f_2)) V_B_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (tptp.tc_prod T_c T_d) T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_d) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_c) V_B_2)))))))
% 80.53/80.77  (assume a2962 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_B_2)))))
% 80.53/80.77  (assume a2963 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_B_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2))))))
% 80.53/80.77  (assume a2964 (forall ((V_C_2 $$unsorted) (V_J_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_J_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_J_2) V_C_2)))))
% 80.53/80.77  (assume a2965 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_c T_b) (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_b (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_COMBC T_b T_c (tptp.tc_prod T_b T_c)) (tptp.c_Product__Type_OPair T_b T_c)))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_B_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_A_2)))))
% 80.53/80.77  (assume a2966 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2))))))))
% 80.53/80.77  (assume a2967 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))))))
% 80.53/80.77  (assume a2968 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_B_2)))))
% 80.53/80.77  (assume a2969 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_B_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_C_2))))))
% 80.53/80.77  (assume a2970 (forall ((V_C_2 $$unsorted) (V_J_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_J_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_I_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_J_2) V_C_2)))))
% 80.53/80.77  (assume a2971 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Relation_OId__on T_b V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2))))))
% 80.53/80.77  (assume a2972 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a2973 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP V_B_2 V_a_2)))))))
% 80.53/80.77  (assume a2974 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)))))
% 80.53/80.77  (assume a2975 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP V_B_2 V_a_2))))))
% 80.53/80.77  (assume a2976 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP V_B_2 V_a_2)))))))))
% 80.53/80.77  (assume a2977 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_A_2))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_A_2))))
% 80.53/80.77  (assume a2978 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_C_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_C_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_B_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_C_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.77  (assume a2979 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_c V_r_2) V_C_2)) V_B_2)))))
% 80.53/80.77  (assume a2980 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2)))) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))))))
% 80.53/80.77  (assume a2981 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2)))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2))))))
% 80.53/80.77  (assume a2982 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_B_2 $$unsorted)) (and (=> (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_c T_b) T_c (tptp.c_Product__Type_Ofst T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_B_2))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_c T_b) T_c (tptp.c_Product__Type_Ofst T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_B_2))) V_A_2)))))
% 80.53/80.77  (assume a2983 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (and (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_b T_c) T_c (tptp.c_Product__Type_Osnd T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_b T_c) T_c (tptp.c_Product__Type_Osnd T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2))) V_B_2)))))
% 80.53/80.77  (assume a2984 (forall ((V_B_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_b_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_b_2) V_B_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2)))))))
% 80.53/80.77  (assume a2985 (forall ((V_X_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_X_2)))))))
% 80.53/80.77  (assume a2986 (forall ((V_F_2 $$unsorted) (V_E_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_e $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_prod T_d T_e) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_d T_e) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_e tptp.tc_HOL_Obool) T_d) V_B_2))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_d T_e (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_e (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.tc_fun T_e (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_e (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.tc_fun T_e (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) T_d) (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) T_e)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) T_d) (tptp.c_Product__Type_OSigma T_b T_c)) V_E_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_e) (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b)) V_F_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_E_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_e (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2) V_F_2))))))
% 80.53/80.77  (assume a2987 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) T_b) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) T_c) (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a2988 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2)))))))
% 80.53/80.77  (assume a2989 (forall ((V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (exists ((B_f $$unsorted)) (and (tptp.c_Fun_Oinj__on T_b (tptp.tc_prod T_c T_b) B_f (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b (tptp.tc_prod T_c T_b) B_f) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_b) V_I_2) V_A_2)))))))
% 80.53/80.77  (assume a2990 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_d) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_B_2 B_x))))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_d T_b (tptp.c_Groups_Otimes__class_Otimes T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_d (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_d) (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d)) T_b) (tptp.c_Finite__Set_Ofold__image T_d T_c (tptp.c_Groups_Otimes__class_Otimes T_d))) V_g_2)) (tptp.c_Groups_Oone__class_Oone T_d))) V_B_2)) (tptp.c_Groups_Oone__class_Oone T_d)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_d (tptp.tc_prod T_b T_c) (tptp.c_Groups_Otimes__class_Otimes T_d)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) V_g_2)) (tptp.c_Groups_Oone__class_Oone T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))))))))
% 80.53/80.77  (assume a2991 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_B_2 B_a))))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2)))))))
% 80.53/80.77  (assume a2992 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_d) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_B_2 B_x))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_d) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) T_b) (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_d)) V_f_2)) V_B_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod (tptp.tc_prod T_b T_c) T_d) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))))))))
% 80.53/80.77  (assume a2993 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_d) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_B_2 B_x))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_d) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) T_b) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_d)) V_f_2)) V_B_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (tptp.tc_prod T_b T_c) T_d) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))))))))
% 80.53/80.77  (assume a2994 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_B_2 B_x))))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_Nat_Onat T_b) (tptp.c_Finite__Set_Ocard T_c)) V_B_2)) V_A_2))))))
% 80.53/80.77  (assume a2995 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2))) (not (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_y) (tptp.hAPP V_B_2 B_x))) (not (= V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_x) B_y)))))))))))
% 80.53/80.77  (assume a2996 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_e T_d V_g_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_e tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_c T_e) (tptp.tc_prod T_b T_d) (tptp.c_Product__Type_Omap__pair T_c T_b T_e T_d V_f_2 V_g_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_prod T_c T_e) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a2997 (forall ((V_B_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.c_Fun_Oinj__on T_d T_e V_g_2 V_B_2) (tptp.c_Fun_Oinj__on (tptp.tc_prod T_b T_d) (tptp.tc_prod T_c T_e) (tptp.c_Product__Type_Omap__pair T_b T_c T_d T_e V_f_2 V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_d) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) V_B_2)))))))
% 80.53/80.77  (assume a2998 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (V_R_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_d T_e)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_d T_e) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP V_g_2 V_b_2))) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_b T_c) (tptp.tc_prod T_d T_e) (tptp.c_Product__Type_Omap__pair T_b T_d T_c T_e V_f_2 V_g_2)) V_R_2))))))
% 80.53/80.77  (assume a2999 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Ofst T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Omap__pair T_d T_b T_e T_c V_f_2 V_g_2) V_x_2)) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_d T_e) V_x_2)))))
% 80.53/80.77  (assume a3000 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_e $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Omap__pair T_d T_b T_e T_c V_f_2 V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_d T_e) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP V_g_2 V_b_2)))))
% 80.53/80.77  (assume a3001 (forall ((V_z_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Omap__pair T_b T_b T_c T_c (tptp.c_COMBI T_b) (tptp.c_COMBI T_c)) V_z_2) V_z_2)))
% 80.53/80.77  (assume a3002 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_b) (tptp.hAPP (tptp.c_Product__Type_Omap__pair T_d T_c T_e T_b V_f_2 V_g_2) V_x_2)) (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_d T_e) V_x_2)))))
% 80.53/80.77  (assume a3003 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_e $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Omap__pair T_b T_d T_c T_e V_f_2 V_g_2) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c (tptp.tc_prod T_d T_e)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c T_e) (tptp.tc_fun T_c (tptp.tc_prod T_d T_e))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_e (tptp.tc_prod T_d T_e)) (tptp.tc_fun (tptp.tc_fun T_c T_e) (tptp.tc_fun T_c (tptp.tc_prod T_d T_e))) T_b) (tptp.c_COMBB T_e (tptp.tc_prod T_d T_e) T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_d (tptp.tc_fun T_e (tptp.tc_prod T_d T_e)) T_b) (tptp.c_Product__Type_OPair T_d T_e)) V_f_2))) V_g_2)))))
% 80.53/80.77  (assume a3004 (forall ((V_B_H_2 $$unsorted) (V_B_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (T_e $$unsorted) (V_A_H_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2) V_A_H_2) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_e T_d V_g_2) V_B_2) V_B_H_2) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_c T_e) (tptp.tc_prod T_b T_d) (tptp.c_Product__Type_Omap__pair T_c T_b T_e T_d V_f_2 V_g_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_e) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_e tptp.tc_HOL_Obool) T_c) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_d) V_A_H_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) V_B_H_2)))))))
% 80.53/80.77  (assume a3005 (forall ((V_R_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (V_c_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) V_c_2) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_d T_e) (tptp.tc_prod T_b T_c) (tptp.c_Product__Type_Omap__pair T_d T_b T_e T_c V_f_2 V_g_2)) V_R_2))) (not (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (= V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_g_2 B_y))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_d T_e)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_d T_e) B_x) B_y)) V_R_2)))))))))
% 80.53/80.77  (assume a3006 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) V_r_2))))))))
% 80.53/80.77  (assume a3007 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP V_f_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b tptp.tc_Nat_Onat) V_f_2) V_S_2)))))))
% 80.53/80.77  (assume a3008 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Orefl__on T_b V_A_2 (tptp.c_Relation_OId__on T_b V_A_2))))
% 80.53/80.77  (assume a3009 (forall ((T_b $$unsorted)) (tptp.c_Relation_Orefl__on T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3010 (forall ((V_s_2 $$unsorted) (V_B_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (=> (tptp.c_Relation_Orefl__on T_b V_B_2 V_s_2) (tptp.c_Relation_Orefl__on T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2))))))
% 80.53/80.77  (assume a3011 (forall ((V_s_2 $$unsorted) (V_B_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (=> (tptp.c_Relation_Orefl__on T_b V_B_2 V_s_2) (tptp.c_Relation_Orefl__on T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2))))))
% 80.53/80.77  (assume a3012 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_a_2)) V_r_2))))))
% 80.53/80.77  (assume a3013 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))))))
% 80.53/80.77  (assume a3014 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) V_A_2))))))
% 80.53/80.77  (assume a3015 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) V_r_2)))) (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2)))))
% 80.53/80.77  (assume a3016 (forall ((V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_y_2) tptp.c_Int_OInteg)) (not (forall ((B_x $$unsorted)) (not (= V_y_2 (tptp.hAPP tptp.c_Int_ORep__Integ B_x))))))))
% 80.53/80.77  (assume a3017 (forall ((V_Pa_2 $$unsorted) (V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) V_y_2) tptp.c_Int_OInteg)) (=> (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP tptp.c_Int_ORep__Integ B_x)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_y_2))))))
% 80.53/80.77  (assume a3018 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_g_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image__simple T_b T_c V_f_2 V_z_2 V_g_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (= (tptp.hAPP V_g_2 B_x) V_z_2))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2)))))))))
% 80.53/80.77  (assume a3019 (forall ((V_i_2 $$unsorted) (V_M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_M_2)) (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.c_member tptp.tc_Nat_Onat)) tptp.c_Nat_OSuc)) V_M_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) V_i_2))))) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member tptp.tc_Nat_Onat)) V_M_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP tptp.c_Nat_OSuc V_i_2)))))))))
% 80.53/80.77  (assume a3020 (forall ((V_i_2 $$unsorted) (V_M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_M_2)) (not (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member tptp.tc_Nat_Onat)) V_M_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP tptp.c_Nat_OSuc V_i_2))))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a3021 (forall ((T_b $$unsorted) (V_a_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))))))
% 80.53/80.77  (assume a3022 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Q_2)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_Pa_2)) V_Q_2)))))))
% 80.53/80.77  (assume a3023 (forall ((V_k_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) V_k_2))))))
% 80.53/80.77  (assume a3024 (forall ((V_k_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) V_k_2))))))
% 80.53/80.77  (assume a3025 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_Pa_2))) V_Q_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Set_OCollect T_c)) V_Q_2)))))
% 80.53/80.77  (assume a3026 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_Pa_2))) V_Q_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Set_OCollect T_c) V_Q_2))))))
% 80.53/80.77  (assume a3027 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) V_Pa_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)))))
% 80.53/80.77  (assume a3028 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_Pa_2)) V_Q_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Q_2)))))
% 80.53/80.77  (assume a3029 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)) (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.77  (assume a3030 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.77  (assume a3031 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2) V_Pa_2)))
% 80.53/80.77  (assume a3032 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fdisj) V_Pa_2)) V_Q_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Q_2)))))
% 80.53/80.77  (assume a3033 (forall ((V_Pa_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2)))) V_Pa_2)))))
% 80.53/80.77  (assume a3034 (forall ((T_b $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool T_b) tptp.c_fFalse)))))
% 80.53/80.77  (assume a3035 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fdisj) V_Pa_2)) V_Q_2)))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Q_2)))))))
% 80.53/80.77  (assume a3036 (forall ((T_b $$unsorted)) (= (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool T_b) tptp.c_fTrue)))))
% 80.53/80.77  (assume a3037 (forall ((V_Pa_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Set_OCollect T_c) V_Pa_2)) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c tptp.tc_HOL_Obool T_b) V_Pa_2) V_f_2)))))
% 80.53/80.77  (assume a3038 (forall ((V_Pa_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)))))
% 80.53/80.77  (assume a3039 (forall ((V_Pa_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)))))
% 80.53/80.77  (assume a3040 (forall ((V_Pa_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)))))
% 80.53/80.77  (assume a3041 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)) V_A_2)))
% 80.53/80.77  (assume a3042 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fdisj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))))))
% 80.53/80.77  (assume a3043 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fdisj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))))))
% 80.53/80.77  (assume a3044 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fdisj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))))))
% 80.53/80.77  (assume a3045 (forall ((V_Pa_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))))))
% 80.53/80.77  (assume a3046 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))))))
% 80.53/80.77  (assume a3047 (forall ((T_b $$unsorted) (V_a_2 $$unsorted) (V_Pa_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_Pa_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2))) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_Pa_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3048 (forall ((T_b $$unsorted) (V_a_2 $$unsorted) (V_Pa_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP tptp.c_fequal V_a_2))) V_Pa_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2))) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP tptp.c_fequal V_a_2))) V_Pa_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3049 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3050 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP tptp.c_fequal V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3051 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2)))))))
% 80.53/80.77  (assume a3052 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) V_Pa_2)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3053 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_a_2))) V_B_2))))
% 80.53/80.77  (assume a3054 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))))))
% 80.53/80.77  (assume a3055 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member T_c)) V_f_2)) V_B_2)))))
% 80.53/80.77  (assume a3056 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fimplies) V_Pa_2)) V_Q_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Q_2)))))
% 80.53/80.77  (assume a3057 (forall ((V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) V_Pa_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) V_i_2)))))))
% 80.53/80.77  (assume a3058 (forall ((V_R_2 $$unsorted) (V_f_2 $$unsorted) (V_T_2 $$unsorted) (T_c $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_d) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_T_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_d) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) T_b) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_d)) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Set_OCollect T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_T_2)))) V_R_2)))) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b T_d) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) T_c) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_d)) (tptp.hAPP (tptp.c_COMBC T_b T_c T_d) V_f_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.c_Set_OCollect T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_S_2)))) (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) V_R_2))))) V_T_2)))))))
% 80.53/80.77  (assume a3059 (forall ((V_S_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b (tptp.tc_fun T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) T_c) (tptp.c_If T_b)) V_Pa_2)) V_f_2)) V_g_2)) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_S_2) (tptp.hAPP (tptp.c_Set_OCollect T_c) V_Pa_2)))) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_S_2) (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_c) tptp.c_fNot) V_Pa_2))))))))
% 80.53/80.77  (assume a3060 (forall ((V_na_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat T_b V_f_2) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) V_na_2)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)))))
% 80.53/80.77  (assume a3061 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))) V_f_2)) (tptp.c_Groups_Ozero__class_Ozero T_c))) V_A_2))))))
% 80.53/80.77  (assume a3062 (forall ((V_f_2 $$unsorted) (T_d $$unsorted) (V_g_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_d T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c T_d) (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.c_Set_OCollect T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_S_2)))) (tptp.hAPP (tptp.c_COMBC T_b T_d tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_d (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2)))))) (tptp.hAPP (tptp.c_Set_Oimage T_b T_d V_f_2) V_S_2)))))))
% 80.53/80.77  (assume a3063 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_c T_b))) (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_a_2))) V_r_2)))))
% 80.53/80.77  (assume a3064 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_Pa_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c (tptp.tc_fun T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_c (tptp.tc_fun T_c T_c)) T_b) (tptp.c_If T_c)) V_Pa_2)) V_f_2)) V_g_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))))))))))
% 80.53/80.77  (assume a3065 (forall ((V_i_2 $$unsorted) (V_M_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_M_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.c_member tptp.tc_Nat_Onat)) tptp.c_Nat_OSuc)) V_M_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) V_i_2)))) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member tptp.tc_Nat_Onat)) V_M_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP tptp.c_Nat_OSuc V_i_2)))))))))
% 80.53/80.77  (assume a3066 (forall ((V_k_2 $$unsorted) (V_R_2 $$unsorted) (V_T_2 $$unsorted) (T_c $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_T_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_T_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_S_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) V_R_2) B_x)))) V_k_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_Nat_Onat T_b) (tptp.c_Finite__Set_Ocard T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Set_OCollect T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_T_2)))) V_R_2)))) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_T_2))))))))
% 80.53/80.77  (assume a3067 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))))))))))
% 80.53/80.77  (assume a3068 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_B_2)) (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBS T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBB (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal))) (tptp.c_Orderings_Oord__class_Omax T_b)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2)))))))))))))))
% 80.53/80.77  (assume a3069 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))))))
% 80.53/80.77  (assume a3070 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_HOL_OEx (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_COMBS (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool))) tptp.c_fequal)) (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.c_Set_OPow T_b))))))))
% 80.53/80.77  (assume a3071 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))))
% 80.53/80.77  (assume a3072 (forall ((V_Q_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_Pa_2))) V_Q_2))))) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_y)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b tptp.tc_HOL_Obool) V_Q_2) B_y))))))))))
% 80.53/80.77  (assume a3073 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_c) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b T_c) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_c) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_COMBB T_c tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) V_f_2)))) V_Pa_2))))))))
% 80.53/80.77  (assume a3074 (forall ((T_c $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.tc_fun T_b T_c) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_b T_c)) (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_b T_c)) (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBC T_c T_c tptp.tc_HOL_Obool) tptp.c_fequal)))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_fun T_b T_c) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3075 (forall ((V_Pa_2 $$unsorted)) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) V_Pa_2)))))
% 80.53/80.77  (assume a3076 (forall ((T_b $$unsorted)) (= (tptp.c_Wellfounded_Ofinite__psubset T_b) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_COMBS (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.c_fconj)) (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.c_Finite__Set_Ofinite T_b)))))))
% 80.53/80.77  (assume a3077 (forall ((V_f_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image T_c T_b) V_r_2) V_f_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_c T_c)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_c T_c)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_c) (tptp.tc_fun T_b (tptp.tc_prod T_c T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_c T_c)) (tptp.tc_fun (tptp.tc_fun T_b T_c) (tptp.tc_fun T_b (tptp.tc_prod T_c T_c))) T_b) (tptp.c_COMBB T_c (tptp.tc_prod T_c T_c) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c (tptp.tc_prod T_c T_c)) T_b) (tptp.c_Product__Type_OPair T_c T_c)) V_f_2))) V_f_2)))) V_r_2))))))
% 80.53/80.77  (assume a3078 (forall ((V_Pa_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) V_Pa_2)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_Nat_Onat) V_Pa_2) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)))))))
% 80.53/80.77  (assume a3079 (forall ((V_Pa_2 $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) V_Pa_2) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Int_Oint) V_Pa_2) tptp.c_Int_Onat)))))))
% 80.53/80.77  (assume a3080 (forall ((V_k_2 $$unsorted) (V_N_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__semigroup__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_k_2) (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_N_2)) (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_k_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_N_2)))))))))))
% 80.53/80.77  (assume a3081 (forall ((V_k_2 $$unsorted) (V_N_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Olinordered__ab__semigroup__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_N_2)) (=> (not (= V_N_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_k_2) (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_N_2)) (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_k_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_N_2)))))))))))
% 80.53/80.77  (assume a3082 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))))))))))
% 80.53/80.77  (assume a3083 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_B_2)) (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBS T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBB (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal))) (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2)))))))))))))))
% 80.53/80.77  (assume a3084 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_B_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBS T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBB (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal))) (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2)))))))))))))))
% 80.53/80.77  (assume a3085 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2)) (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))))))))))
% 80.53/80.77  (assume a3086 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (not (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_B_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBS T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBB (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal))) (tptp.c_Orderings_Oord__class_Omin T_b)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2)))))))))))))))
% 80.53/80.77  (assume a3087 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_A_2)) (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))))))))))
% 80.53/80.77  (assume a3088 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Oprod T_b T_c V_A_2 V_B_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_B_2)))))))
% 80.53/80.77  (assume a3089 (forall ((V_d_2 $$unsorted)) (= (tptp.c_Int_Oint__ge__less__than V_d_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool)) tptp.tc_Int_Oint) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_d_2)))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)))))))
% 80.53/80.77  (assume a3090 (forall ((V_d_2 $$unsorted)) (= (tptp.c_Int_Oint__ge__less__than2 V_d_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_HOL_Obool) tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_d_2)))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint)))))))
% 80.53/80.77  (assume a3091 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Predicate_Oreflp T_b V_r_2) (tptp.c_Relation_Orefl__on T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) V_r_2))))))
% 80.53/80.77  (assume a3092 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Rings_Osemiring__0 T_d) (=> (tptp.c_Fun_Oinj__on (tptp.tc_prod T_b T_c) T_d (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c T_d) (tptp.tc_fun T_c T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_d) (tptp.tc_fun (tptp.tc_fun T_c T_d) (tptp.tc_fun T_c T_d)) T_b) (tptp.c_COMBB T_d T_d T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_d (tptp.tc_fun T_d T_d) T_b) (tptp.c_Groups_Otimes__class_Otimes T_d)) V_f_2))) V_g_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_d) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_d) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_d) V_g_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_d T_d) (tptp.c_Fun_Oid T_d)) (tptp.hAPP (tptp.c_Set_OCollect T_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_d) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) T_d) (tptp.c_COMBS T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_c (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool))) T_d) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun T_c (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) T_d) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fconj))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_b (tptp.tc_fun T_c T_d)) (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_d) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_c T_d)) (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) T_d) (tptp.c_COMBB (tptp.tc_fun T_c T_d) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_d) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_d) (tptp.c_COMBB T_d tptp.tc_HOL_Obool T_c)) tptp.c_fequal))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c T_d) (tptp.tc_fun T_c T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_d) (tptp.tc_fun (tptp.tc_fun T_c T_d) (tptp.tc_fun T_c T_d)) T_b) (tptp.c_COMBB T_d T_d T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_d (tptp.tc_fun T_d T_d) T_b) (tptp.c_Groups_Otimes__class_Otimes T_d)) V_f_2))) V_g_2)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_B_2))))))))))))
% 80.53/80.77  (assume a3093 (forall ((V_k_2 $$unsorted) (V_R_2 $$unsorted) (V_t_2 $$unsorted) (T_c $$unsorted) (V_s_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_s_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_t_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_t_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_s_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) V_R_2) B_x)))) (tptp.hAPP V_k_2 B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_Nat_Onat T_b) (tptp.c_Finite__Set_Ocard T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Set_OCollect T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_t_2)))) V_R_2)))) V_s_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c tptp.tc_Nat_Onat) V_k_2) V_t_2)))))))
% 80.53/80.77  (assume a3094 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on T_b T_b (tptp.c_Fun_Oid T_b) V_A_2)))
% 80.53/80.77  (assume a3095 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_b (tptp.c_Fun_Oid T_b)) V_A_2) V_A_2)))
% 80.53/80.77  (assume a3096 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Oapfst T_b T_b T_c (tptp.c_Fun_Oid T_b)) (tptp.c_Fun_Oid (tptp.tc_prod T_b T_c)))))
% 80.53/80.77  (assume a3097 (forall ((V_x_1 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Oid T_a) V_x_1) V_x_1)))
% 80.53/80.77  (assume a3098 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Oid T_a) V_x) V_x)))
% 80.53/80.77  (assume a3099 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Predicate_Oreflp T_b V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_x_2) V_x_2)))))
% 80.53/80.77  (assume a3100 (forall ((T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Product__Type_Oapsnd T_c T_c T_b (tptp.c_Fun_Oid T_c)) (tptp.c_Fun_Oid (tptp.tc_prod T_b T_c)))))
% 80.53/80.77  (assume a3101 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Omap__pair T_b T_b T_c T_c (tptp.c_Fun_Oid T_b) (tptp.c_Fun_Oid T_c)) (tptp.c_Fun_Oid (tptp.tc_prod T_b T_c)))))
% 80.53/80.77  (assume a3102 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Omap__pair T_b T_b T_c T_c (tptp.c_COMBI T_b) (tptp.c_COMBI T_c)) (tptp.c_Fun_Oid (tptp.tc_prod T_b T_c)))))
% 80.53/80.77  (assume a3103 (forall ((V_Y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Fun_Oid T_b)) V_Y_2) V_Y_2)))
% 80.53/80.77  (assume a3104 (= (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint) (tptp.c_Fun_Oid tptp.tc_Int_Oint)))
% 80.53/80.77  (assume a3105 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_b (tptp.c_Fun_Oid T_b)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3106 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Oapfst T_b T_d T_c V_f_2) (tptp.c_Product__Type_Omap__pair T_b T_d T_c T_c V_f_2 (tptp.c_Fun_Oid T_c)))))
% 80.53/80.77  (assume a3107 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.c_Product__Type_Oapsnd T_c T_d T_b V_f_2) (tptp.c_Product__Type_Omap__pair T_b T_b T_c T_d (tptp.c_Fun_Oid T_b) V_f_2))))
% 80.53/80.77  (assume a3108 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c (tptp.tc_prod T_b T_c)) (tptp.c_Product__Type_OPair T_b T_c)) (tptp.c_Fun_Oid (tptp.tc_prod T_b T_c)))))
% 80.53/80.77  (assume a3109 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_c) (tptp.c_Fun_Oid T_c)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2)))))))
% 80.53/80.77  (assume a3110 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_c) (tptp.c_Fun_Oid T_c)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2)))))))
% 80.53/80.77  (assume a3111 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (exists ((B_n $$unsorted) (B_f $$unsorted)) (= V_A_2 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Nat_Onat T_b B_f) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) B_n))))))))
% 80.53/80.77  (assume a3112 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_r_2) V_s_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c) (tptp.c_HOL_OEx T_d))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) T_b) (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS T_d tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun T_d (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_d) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_d (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_prod T_b T_d)) (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_d) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_d) (tptp.c_member (tptp.tc_prod T_b T_d)))) (tptp.c_Product__Type_OPair T_b T_d)))) V_r_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_c) (tptp.c_COMBC T_d (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_prod T_d T_c)) (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_c) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_d T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_d) (tptp.c_member (tptp.tc_prod T_d T_c)))) (tptp.hAPP (tptp.c_COMBC T_d T_c (tptp.tc_prod T_d T_c)) (tptp.c_Product__Type_OPair T_d T_c))))) V_s_2))))))))
% 80.53/80.77  (assume a3113 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_b tptp.tc_HOL_Obool) V_Pa_2))) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_c)) (tptp.hAPP (tptp.c_COMBC T_c T_b tptp.tc_HOL_Obool) V_Pa_2))))))
% 80.53/80.77  (assume a3114 (forall ((V_s_2 $$unsorted) (V_c_2 $$unsorted) (T_d $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_b_2) V_c_2)) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_d) V_a_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_c T_d) V_r_2) V_s_2)))))))
% 80.53/80.77  (assume a3115 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_b_2) (tptp.hAPP (tptp.c_Relation_ORange T_b T_c) V_r_2))))))
% 80.53/80.77  (assume a3116 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (V_I_2 $$unsorted) (T_e $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_e (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool)) V_I_2) V_r_2)) V_s_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_e (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_e (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) T_e) (tptp.c_Relation_Orel__comp T_b T_d T_c)) V_r_2)) V_s_2)))))
% 80.53/80.77  (assume a3117 (forall ((V_r_2 $$unsorted) (V_I_2 $$unsorted) (T_e $$unsorted) (V_s_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_s_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_e (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool)) V_I_2) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_e (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) T_e) (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_s_2)) V_r_2)))))
% 80.53/80.77  (assume a3118 (forall ((V_s_2 $$unsorted) (V_s_H_2 $$unsorted) (T_d $$unsorted) (V_r_2 $$unsorted) (V_r_H_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_r_H_2) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool)) V_s_H_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_c T_d) V_r_H_2) V_s_H_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_c T_d) V_r_2) V_s_2)))))))
% 80.53/80.77  (assume a3119 (forall ((V_R_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool))) V_R_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3120 (forall ((V_R_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_R_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3121 (forall ((V_T_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_d T_c) tptp.tc_HOL_Obool)) V_S_2) V_T_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_R_2) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_R_2) V_T_2)))))
% 80.53/80.77  (assume a3122 (forall ((V_R_2 $$unsorted) (V_T_2 $$unsorted) (V_S_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool)) V_S_2) V_T_2)) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_S_2) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_T_2) V_R_2)))))
% 80.53/80.77  (assume a3123 (forall ((V_T_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_e $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_e T_d) V_R_2) V_S_2)) V_T_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_e T_c) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_e T_d T_c) V_S_2) V_T_2)))))
% 80.53/80.77  (assume a3124 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_b T_b) (tptp.c_Relation_OId__on T_b V_A_2)) V_A_2)))
% 80.53/80.77  (assume a3125 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_A_2) V_C_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3126 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_A_2) V_C_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_B_2) V_C_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3127 (forall ((T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3128 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_r_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_r_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3129 (forall ((V_C_2 $$unsorted) (V_s_2 $$unsorted) (T_d $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_B_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool)) V_s_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_d) V_B_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_c) V_C_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_d) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_c T_d) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_d) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_b) V_C_2))))))))
% 80.53/80.77  (assume a3130 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_A_2)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_B_2)))))
% 80.53/80.77  (assume a3131 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Relation_ORange T_b T_c) V_r_2))))))
% 80.53/80.77  (assume a3132 (forall ((V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_c T_b) T_b (tptp.c_Product__Type_Osnd T_c T_b)) V_R_2) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_R_2))))
% 80.53/80.77  (assume a3133 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_r_2))) (exists ((B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) B_y) V_a_2)) V_r_2))))))
% 80.53/80.77  (assume a3134 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_a_2) V_b_2)) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_r_2)))))
% 80.53/80.77  (assume a3135 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_A_2)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_B_2))))))
% 80.53/80.77  (assume a3136 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_A_2)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_B_2))) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.77  (assume a3137 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) V_S_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Omax__ext T_b V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Omax__ext T_b V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)))))) (tptp.c_Wellfounded_Omax__ext T_b V_R_2))))))
% 80.53/80.77  (assume a3138 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) V_S_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Omin__ext T_b V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)) (tptp.c_Wellfounded_Omin__ext T_b V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.tc_HOL_Obool)))))) (tptp.c_Wellfounded_Omin__ext T_b V_R_2))))))
% 80.53/80.77  (assume a3139 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_r_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) (tptp.hAPP (tptp.c_Relation_ORange T_b T_c) V_r_2))))))
% 80.53/80.77  (assume a3140 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_r_2))) (not (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) B_x) V_b_2)) V_r_2))))))))
% 80.53/80.77  (assume a3141 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp T_b T_c T_d (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_c) (tptp.c_COMBC T_d (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_prod T_c T_d)) (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_c) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_d) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_d) (tptp.c_member (tptp.tc_prod T_c T_d)))) (tptp.c_Product__Type_OPair T_c T_d)))) V_s_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_d) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_c T_d) V_r_2) V_s_2))))))
% 80.53/80.77  (assume a3142 (forall ((T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_c_2 $$unsorted) (V_s_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_s_2 V_b_2) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp T_b T_c T_d V_r_2 V_s_2) V_a_2) V_c_2))))))
% 80.53/80.77  (assume a3143 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP T_b T_c V_r_2) V_b_2)))))
% 80.53/80.77  (assume a3144 (forall ((V_a3_2 $$unsorted) (V_a1_2 $$unsorted) (V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp T_b T_c T_d V_r_2 V_s_2) V_a1_2) V_a3_2)) (exists ((B_b $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a1_2) B_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_s_2 B_b) V_a3_2)))))))
% 80.53/80.77  (assume a3145 (forall ((V_a2_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ORangeP T_b T_c V_r_2) V_a2_2)) (exists ((B_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 B_a) V_a2_2))))))
% 80.53/80.77  (assume a3146 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_R_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) V_S_2)) V_R_2)) (tptp.c_FunDef_Oreduction__pair T_b (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 80.53/80.77  (assume a3147 (forall ((V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_Pa_2))) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_c)) V_Pa_2)))))
% 80.53/80.77  (assume a3148 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2)) (tptp.hAPP V_f_2 B_x)))))))))))))
% 80.53/80.77  (assume a3149 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than))
% 80.53/80.77  (assume a3150 (forall ((T_b $$unsorted)) (tptp.c_Wellfounded_Owf T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3151 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf T_c (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image T_b T_c) V_r_2) V_f_2)))))
% 80.53/80.77  (assume a3152 (forall ((V_rb_2 $$unsorted) (T_c $$unsorted) (V_ra_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_ra_2) (=> (tptp.c_Wellfounded_Owf T_c V_rb_2) (tptp.c_Wellfounded_Owf (tptp.tc_prod T_b T_c) (tptp.c_Wellfounded_Olex__prod T_b T_c V_ra_2 V_rb_2))))))
% 80.53/80.77  (assume a3153 (forall ((V_f_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Wellfounded_Omeasure T_b) V_f_2))))
% 80.53/80.77  (assume a3154 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2))))))
% 80.53/80.77  (assume a3155 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Owf T_b V_R_2) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) V_R_2)))))
% 80.53/80.77  (assume a3156 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Wellfounded_Omin__ext T_b V_r_2)))))
% 80.53/80.77  (assume a3157 (forall ((V_p_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_p_2) V_r_2)) (tptp.c_Wellfounded_Owf T_b V_p_2)))))
% 80.53/80.77  (assume a3158 (forall ((T_b $$unsorted)) (tptp.c_Wellfounded_Owf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Wellfounded_Ofinite__psubset T_b))))
% 80.53/80.77  (assume a3159 (forall ((V_r_H_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_r_H_2)))))
% 80.53/80.77  (assume a3160 (forall ((V_r_H_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_H_2) V_r_2)))))
% 80.53/80.77  (assume a3161 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Wellfounded_Omax__ext T_b V_r_2)))))
% 80.53/80.77  (assume a3162 (tptp.c_Wellfounded_Owf (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_FunDef_Opair__less))
% 80.53/80.77  (assume a3163 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) (tptp.c_Relation_OId__on T_b V_A_2)) V_A_2)))
% 80.53/80.77  (assume a3164 (forall ((V_f_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_R_2) (tptp.c_Wellfounded_Owf T_b (tptp.c_Wellfounded_Omlex__prod T_b V_f_2 V_R_2)))))
% 80.53/80.77  (assume a3165 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)))))
% 80.53/80.77  (assume a3166 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_a_2)) V_r_2))))))
% 80.53/80.77  (assume a3167 (forall ((V_x_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_x_2)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_a_2)) V_r_2)))))))
% 80.53/80.77  (assume a3168 (forall ((V_x_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_x_2)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_a_2)) V_r_2)))))))
% 80.53/80.77  (assume a3169 (forall ((V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_a_2)) V_r_2))))))
% 80.53/80.77  (assume a3170 (forall ((V_d_2 $$unsorted)) (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint (tptp.c_Int_Oint__ge__less__than2 V_d_2))))
% 80.53/80.77  (assume a3171 (forall ((V_d_2 $$unsorted)) (tptp.c_Wellfounded_Owf tptp.tc_Int_Oint (tptp.c_Int_Oint__ge__less__than V_d_2))))
% 80.53/80.77  (assume a3172 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (=> (tptp.c_Wellfounded_Owf T_b V_s_2) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_ORange T_b T_b) V_s_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)))))))
% 80.53/80.77  (assume a3173 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Owf T_b V_r_2) (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.c_Wellfounded_Oacc T_b V_r_2)))))))
% 80.53/80.77  (assume a3174 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))))))
% 80.53/80.77  (assume a3175 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) V_R_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (tptp.c_Wellfounded_Owf T_b V_R_2))))
% 80.53/80.77  (assume a3176 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2)) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_S_2) V_R_2))) V_S_2)))))
% 80.53/80.77  (assume a3177 (forall ((T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3178 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_r_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3179 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_s_2))))))
% 80.53/80.77  (assume a3180 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_A_2)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_B_2)))))
% 80.53/80.77  (assume a3181 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2))))))
% 80.53/80.77  (assume a3182 (forall ((V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_b T_c) T_b (tptp.c_Product__Type_Ofst T_b T_c)) V_R_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_R_2))))
% 80.53/80.77  (assume a3183 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Owf T_b V_r_2) (not (exists ((B_f $$unsorted)) (forall ((B_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP B_f (tptp.hAPP tptp.c_Nat_OSuc B_i))) (tptp.hAPP B_f B_i))) V_r_2))))))))
% 80.53/80.77  (assume a3184 (forall ((V_A_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_R_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_R_2) V_A_2))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3185 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_R_2) (=> (tptp.c_Wellfounded_Owf T_b V_S_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) V_S_2)) V_R_2)) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))))
% 80.53/80.77  (assume a3186 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2))) (exists ((B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) B_y)) V_r_2))))))
% 80.53/80.77  (assume a3187 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Owellorder T_b) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless T_b)))))))
% 80.53/80.77  (assume a3188 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2)))))
% 80.53/80.77  (assume a3189 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_FunDef_Oreduction__pair T_b V_Pa_2) (and (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Product__Type_Ofst (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.c_Product__Type_Ofst (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2)) (tptp.hAPP (tptp.c_Product__Type_Osnd (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2))) (tptp.hAPP (tptp.c_Product__Type_Ofst (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2)))))))
% 80.53/80.77  (assume a3190 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_FunDef_Oreduction__pair T_b V_Pa_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) (tptp.hAPP (tptp.c_Product__Type_Ofst (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_S_2) (tptp.hAPP (tptp.c_Product__Type_Osnd (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2))) (=> (tptp.c_Wellfounded_Owf T_b V_S_2) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))))
% 80.53/80.77  (assume a3191 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_A_2)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_B_2))))))
% 80.53/80.77  (assume a3192 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_A_2)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_B_2))) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.77  (assume a3193 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_ORange T_b T_b) V_r_2)))))
% 80.53/80.77  (assume a3194 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Wellfounded_Owf T_c (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod T_b T_b) (tptp.tc_prod T_c T_c) (tptp.c_Product__Type_Omap__pair T_b T_c T_b T_c V_f_2 V_f_2)) V_r_2))))))
% 80.53/80.77  (assume a3195 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_r_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2))))))
% 80.53/80.77  (assume a3196 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf (tptp.tc_List_Olist T_b) (tptp.c_List_Olenlex T_b V_r_2)))))
% 80.53/80.77  (assume a3197 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2))) (not (forall ((B_y $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) B_y)) V_r_2))))))))
% 80.53/80.77  (assume a3198 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP T_b T_c V_r_2) V_a_2)))))
% 80.53/80.77  (assume a3199 (forall ((V_a1_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_ODomainP T_b T_c V_r_2) V_a1_2)) (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a1_2) B_x1))))))
% 80.53/80.77  (assume a3200 (= tptp.c_Wellfounded_Opred__nat (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.c_fequal)) tptp.c_Nat_OSuc)))))
% 80.53/80.77  (assume a3201 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf (tptp.tc_List_Olist T_b) (tptp.c_List_Olex T_b V_r_2)))))
% 80.53/80.77  (assume a3202 (forall ((V_na_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.c_List_Olexn T_b V_r_2) V_na_2)))))
% 80.53/80.77  (assume a3203 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olex T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.c_List_Olexn T_b V_r_2)))))
% 80.53/80.77  (assume a3204 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Olexn T_b V_r_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3205 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))
% 80.53/80.77  (assume a3206 (forall ((T_b $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.c_Wellfounded_Owf T_c (tptp.hAPP V_R_2 B_x)))) (tptp.c_Wellfounded_Owf (tptp.tc_prod T_b T_c) (tptp.c_Recdef_Osame__fst T_b T_c V_Pa_2 V_R_2)))))
% 80.53/80.77  (assume a3207 (forall ((T_b $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 B_x))) (tptp.hAPP V_f_2 B_x))))) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_Pa_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) V_g_2))))))))
% 80.53/80.77  (assume a3208 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_OwfP T_b V_r_2) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) V_r_2))))))
% 80.53/80.77  (assume a3209 (forall ((T_b $$unsorted)) (tptp.c_Wellfounded_OwfP T_b (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool T_b) tptp.c_fFalse)))))
% 80.53/80.77  (assume a3210 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_OwfP T_b V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) V_x_2)))))
% 80.53/80.77  (assume a3211 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_OwfP T_b V_r_2) (forall ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_b V_r_2) B_x1))))))
% 80.53/80.77  (assume a3212 (forall ((V_p_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_OwfP T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_p_2) V_r_2)) (tptp.c_Wellfounded_OwfP T_b V_p_2)))))
% 80.53/80.77  (assume a3213 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_R_2) (tptp.c_Wellfounded_OwfP T_b (tptp.c_FunDef_Oin__rel T_b T_b V_R_2)))))
% 80.53/80.77  (assume a3214 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_OwfP T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b)))) (tptp.c_Product__Type_OPair T_b T_b)))) V_r_2)) (tptp.c_Wellfounded_Owf T_b V_r_2))))
% 80.53/80.77  (assume a3215 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_OwfP T_b V_r_2) (tptp.c_Wellfounded_Oacyclic T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) V_r_2))))))
% 80.53/80.77  (assume a3216 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (and (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) B_x) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) B_x)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) V_r_2))))))))
% 80.53/80.77  (assume a3217 (forall ((V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) B_y) tptp.c_Int_OInteg)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP tptp.c_Int_OAbs__Integ B_y))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)))))
% 80.53/80.77  (assume a3218 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted) (B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))
% 80.53/80.77  (assume a3219 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Oacyclic T_b V_r_2))))
% 80.53/80.77  (assume a3220 (forall ((V_r_2 $$unsorted) (V_s_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Oacyclic T_b V_s_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.c_Wellfounded_Oacyclic T_b V_r_2)))))
% 80.53/80.77  (assume a3221 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Predicate_OPowp T_b V_A_2) V_B_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_B_2)) (tptp.hBOOL (tptp.hAPP V_A_2 B_x)))))))
% 80.53/80.77  (assume a3222 (forall ((V_f_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Equiv__Relations_Ocongruent T_b T_c V_r_2 V_f_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) B_x) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b T_c) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b T_c) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_c tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2))) V_f_2)) B_x)))))))
% 80.53/80.77  (assume a3223 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_b)) V_r_2)) (=> (tptp.c_Wellfounded_Oacyclic T_b V_r_2) (tptp.c_Wellfounded_Owf T_b V_r_2)))))
% 80.53/80.77  (assume a3224 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_b)) V_r_2)) (= (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Oacyclic T_b V_r_2)))))
% 80.53/80.77  (assume a3225 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Owf_H T_b V_r_2) (and (tptp.c_Wellfounded_Oacyclic T_b V_r_2) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_b)) V_r_2)) (tptp.c_Nitpick_Ounknown tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3226 (forall ((V_x_2 $$unsorted)) (not (forall ((B_y $$unsorted)) (=> (= V_x_2 (tptp.hAPP tptp.c_Int_OAbs__Integ B_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.tc_HOL_Obool)) B_y) tptp.c_Int_OInteg))))))))
% 80.53/80.77  (assume a3227 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_B_2 B_a))))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 80.53/80.77  (assume a3228 (forall ((T_b $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted)) (=> (forall ((B_i $$unsorted)) (tptp.c_Wellfounded_OwfP T_c (tptp.hAPP V_r_2 B_i))) (=> (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (not (= (tptp.hAPP V_r_2 B_i) (tptp.hAPP V_r_2 B_j))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Predicate_ODomainP T_c T_c (tptp.hAPP V_r_2 B_i))) (tptp.c_Predicate_ORangeP T_c T_c (tptp.hAPP V_r_2 B_j))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))) (tptp.c_Wellfounded_OwfP T_c (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2))))))
% 80.53/80.77  (assume a3229 (forall ((V_p_2 $$unsorted) (V_c_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (V_z_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_c_2) V_p_2))) (not (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (= V_p_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) B_x) B_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_z_2) (tptp.hAPP (tptp.hAPP V_c_2 B_x) B_y))))))))))
% 80.53/80.77  (assume a3230 (forall ((V_c_2 $$unsorted) (V_z_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_p_2 $$unsorted)) (=> (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (= V_p_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_a) B_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_d) V_z_2) (tptp.hAPP (tptp.hAPP V_c_2 B_a) B_b))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_d) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) V_c_2) V_p_2))))))
% 80.53/80.77  (assume a3231 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b (tptp.tc_prod T_c T_d) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_c T_d) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_c) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod T_c T_d) T_c T_b (tptp.c_Product__Type_Ofst T_c T_d)) V_f_2)) V_A_2)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_d (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod T_c T_d) T_d T_b (tptp.c_Product__Type_Osnd T_c T_d)) V_f_2)) V_B_2)))))
% 80.53/80.77  (assume a3232 (forall ((V_na_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b tptp.tc_Nat_Onat) V_f_2) V_A_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP V_f_2 B_x))))))))
% 80.53/80.77  (assume a3233 (forall ((V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Hilbert__Choice_OEps (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_Pa_2)) (tptp.c_Hilbert__Choice_OEps (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_prod T_b T_c) T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_prod T_b T_c)) V_Pa_2) (tptp.c_Product__Type_Ofst T_b T_c))) (tptp.c_Product__Type_Osnd T_b T_c))))))
% 80.53/80.77  (assume a3234 (forall ((V_g_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_b (tptp.c_Fun_Oid T_c)) V_g_2) V_g_2)))
% 80.53/80.77  (assume a3235 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_b V_f_2) (tptp.c_Fun_Oid T_b)) V_f_2)))
% 80.53/80.77  (assume a3236 (forall ((V_v_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_a_2) V_b_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_b (tptp.c_Fun_Oid T_c)) V_c_2)) (= (tptp.hAPP V_a_2 (tptp.hAPP V_b_2 V_v_2)) (tptp.hAPP V_c_2 V_v_2)))))
% 80.53/80.77  (assume a3237 (forall ((T_b $$unsorted) (V_c_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (=> (= V_c_2 (tptp.c_Hilbert__Choice_OEps T_b V_Pa_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_c_2))))))
% 80.53/80.77  (assume a3238 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_g_2) V_f_2)) V_x_2) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_d V_f_2) (tptp.hAPP (tptp.c_Set_Ovimage T_d T_c V_g_2) V_x_2)))))
% 80.53/80.77  (assume a3239 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapfst T_d T_b T_c V_f_2) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_e T_d T_c V_g_2) V_x_2)) (tptp.hAPP (tptp.c_Product__Type_Oapfst T_e T_b T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_b T_e V_f_2) V_g_2)) V_x_2))))
% 80.53/80.77  (assume a3240 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_c V_f_2) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_x_2)))))
% 80.53/80.77  (assume a3241 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_d V_f_2) V_g_2) V_x_2) (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)))))
% 80.53/80.77  (assume a3242 (forall ((T_b $$unsorted) (V_Pa_2 $$unsorted)) (=> (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Hilbert__Choice_OEps T_b V_Pa_2))))))
% 80.53/80.77  (assume a3243 (forall ((T_b $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Hilbert__Choice_OEps T_b V_Pa_2))) (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))))))
% 80.53/80.77  (assume a3244 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Hilbert__Choice_OEps T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_x_2)) V_x_2)))
% 80.53/80.77  (assume a3245 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Hilbert__Choice_OEps T_b (tptp.hAPP tptp.c_fequal V_x_2)) V_x_2)))
% 80.53/80.77  (assume a3246 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_f_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_e T_d T_b V_g_2) V_h_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_e T_c T_b (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_e V_f_2) V_g_2)) V_h_2))))
% 80.53/80.77  (assume a3247 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_d V_f_2) V_g_2) V_x_2) (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)))))
% 80.53/80.77  (assume a3248 (forall ((V_v_2 $$unsorted) (V_d_2 $$unsorted) (V_c_2 $$unsorted) (T_e $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_a_2) V_b_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_e T_c T_b V_c_2) V_d_2)) (= (tptp.hAPP V_a_2 (tptp.hAPP V_b_2 V_v_2)) (tptp.hAPP V_c_2 (tptp.hAPP V_d_2 V_v_2))))))
% 80.53/80.77  (assume a3249 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (T_e $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_a_2) V_b_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_e T_c T_b V_c_2) V_d_2)) (forall ((B_v $$unsorted)) (= (tptp.hAPP V_a_2 (tptp.hAPP V_b_2 B_v)) (tptp.hAPP V_c_2 (tptp.hAPP V_d_2 B_v)))))))
% 80.53/80.77  (assume a3250 (forall ((T_b $$unsorted) (B_P $$unsorted)) (=> (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP B_P B_x))) (tptp.hBOOL (tptp.hAPP B_P (tptp.c_Hilbert__Choice_OEps T_b B_P))))))
% 80.53/80.77  (assume a3251 (forall ((T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Hilbert__Choice_OEps T_b V_Pa_2))))))
% 80.53/80.77  (assume a3252 (forall ((T_f $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_x_H_2 $$unsorted) (V_g_H_2 $$unsorted) (V_f_H_2 $$unsorted) (V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted)) (=> (= (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 V_x_2)) (tptp.hAPP V_f_H_2 (tptp.hAPP V_g_H_2 V_x_H_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_d V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_e T_b T_f V_f_H_2) V_g_H_2) V_x_H_2)))))
% 80.53/80.77  (assume a3253 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_f_2) (tptp.c_Fun_Ofun__upd T_b T_d V_g_2 V_x_2 V_y_2)) (tptp.c_Fun_Ofun__upd T_b T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_f_2) V_g_2) V_x_2 (tptp.hAPP V_f_2 V_y_2)))))
% 80.53/80.77  (assume a3254 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_d T_c T_b V_f_2) (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_e T_d T_b V_g_2) V_x_2)) (tptp.hAPP (tptp.c_Product__Type_Oapsnd T_e T_c T_b (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_e V_f_2) V_g_2)) V_x_2))))
% 80.53/80.77  (assume a3255 (forall ((V_v_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_a_2) V_b_2) V_c_2) (= (tptp.hAPP V_a_2 (tptp.hAPP V_b_2 V_v_2)) (tptp.hAPP V_c_2 V_v_2)))))
% 80.53/80.77  (assume a3256 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_c_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_d (tptp.hAPP (tptp.c_COMBK T_b T_c) V_c_2)) V_f_2) V_x_2) V_c_2)))
% 80.53/80.77  (assume a3257 (forall ((V_prod_2 $$unsorted) (V_i_2 $$unsorted) (V_h_2 $$unsorted) (T_g $$unsorted) (T_f $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_e $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Omap__pair T_d T_b T_e T_c V_f_2 V_g_2) (tptp.hAPP (tptp.c_Product__Type_Omap__pair T_f T_d T_g T_e V_h_2 V_i_2) V_prod_2)) (tptp.hAPP (tptp.c_Product__Type_Omap__pair T_f T_b T_g T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_b T_f V_f_2) V_h_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_e T_c T_g V_g_2) V_i_2)) V_prod_2))))
% 80.53/80.77  (assume a3258 (forall ((V_g2_2 $$unsorted) (V_g1_2 $$unsorted) (T_g $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_f $$unsorted) (T_e $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Omap__pair T_b T_d T_c T_e (tptp.hAPP (tptp.c_Fun_Ocomp T_f T_d T_b V_f1_2) V_f2_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_g T_e T_c V_g1_2) V_g2_2)) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod T_f T_g) (tptp.tc_prod T_d T_e) (tptp.tc_prod T_b T_c) (tptp.c_Product__Type_Omap__pair T_f T_d T_g T_e V_f1_2 V_g1_2)) (tptp.c_Product__Type_Omap__pair T_b T_f T_c T_g V_f2_2 V_g2_2)))))
% 80.53/80.77  (assume a3259 (forall ((V_i_2 $$unsorted) (V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_g $$unsorted) (T_f $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod T_f T_g) (tptp.tc_prod T_d T_e) (tptp.tc_prod T_b T_c) (tptp.c_Product__Type_Omap__pair T_f T_d T_g T_e V_f_2 V_g_2)) (tptp.c_Product__Type_Omap__pair T_b T_f T_c T_g V_h_2 V_i_2)) (tptp.c_Product__Type_Omap__pair T_b T_d T_c T_e (tptp.hAPP (tptp.c_Fun_Ocomp T_f T_d T_b V_f_2) V_h_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_g T_e T_c V_g_2) V_i_2)))))
% 80.53/80.77  (assume a3260 (forall ((V_r_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_b T_c V_f_2) V_g_2)) V_r_2) (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_d V_g_2) V_r_2)))))
% 80.53/80.77  (assume a3261 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (V_f_H_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_f_H_2) V_f_2) V_A_2) (tptp.c_Fun_Oinj__on T_b T_d V_f_2 V_A_2))))
% 80.53/80.77  (assume a3262 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_g_2) V_f_2) V_A_2) (tptp.c_Fun_Oinj__on T_d T_c V_g_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_d V_f_2) V_A_2)))))
% 80.53/80.77  (assume a3263 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.c_Fun_Oinj__on T_c T_d V_g_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.c_Fun_Oinj__on T_b T_d (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_g_2) V_f_2) V_A_2)))))
% 80.53/80.77  (assume a3264 (forall ((V_f_H_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (= (tptp.c_Fun_Oinj__on T_c T_d V_f_H_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (tptp.c_Fun_Oinj__on T_b T_d (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_f_H_2) V_f_2) V_A_2)))))
% 80.53/80.77  (assume a3265 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (tptp.c_Fun_Oinj__on T_d T_b V_g_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on T_d T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_d V_f_2) V_g_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3266 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_d V_g_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_d (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_d T_c V_g_2) V_f_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3267 (forall ((V_h_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_d) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_d) V_h_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_d) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_h_2) V_f_2)) V_B_2))))))
% 80.53/80.77  (assume a3268 (forall ((V_h_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_d) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_d) V_h_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_d) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_h_2) V_f_2)) V_B_2))))))
% 80.53/80.77  (assume a3269 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_d) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (= V_B_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (=> (= V_g_2 (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_h_2) V_f_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_d) V_h_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_d) V_g_2) V_A_2))))))))
% 80.53/80.77  (assume a3270 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Hilbert__Choice_OEps (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP tptp.c_fequal V_x_2)))) (tptp.hAPP tptp.c_fequal V_y_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2))))
% 80.53/80.77  (assume a3271 (forall ((V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Hilbert__Choice_OEps (tptp.tc_prod T_b T_c) V_Pa_2) (tptp.c_Hilbert__Choice_OEps (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool T_c) V_Pa_2)) (tptp.c_Product__Type_OPair T_b T_c)))))))
% 80.53/80.77  (assume a3272 (forall ((V_g_2 $$unsorted) (V_h_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_b T_b V_h_2 V_A_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_b V_g_2) V_h_2)) V_A_2)))))))
% 80.53/80.77  (assume a3273 (forall ((V_g_2 $$unsorted) (V_h_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_b T_b V_h_2 V_A_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_g_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_b V_h_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_b V_g_2) V_h_2)) V_A_2)))))))
% 80.53/80.77  (assume a3274 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_g_2) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_d T_b V_g_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_g_2) V_A_2)))) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into T_d T_c V_A_2 (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_d V_f_2) V_g_2)) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_d T_c (tptp.c_Fun_Othe__inv__into T_d T_b V_A_2 V_g_2)) (tptp.c_Fun_Othe__inv__into T_b T_c (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_g_2) V_A_2) V_f_2)) V_x_2)))))))
% 80.53/80.77  (assume a3275 (forall ((V_z_2 $$unsorted) (V_g_2 $$unsorted) (V_h_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_d) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_h_2 V_A_2) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_d T_c (tptp.c_Groups_Otimes__class_Otimes T_d)) V_g_2) V_z_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_h_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_d T_b (tptp.c_Groups_Otimes__class_Otimes T_d)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_g_2) V_h_2)) V_z_2) V_A_2)))))))
% 80.53/80.77  (assume a3276 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP V_F_2 V_A_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.hAPP V_f_2 V_x_2))))))))
% 80.53/80.77  (assume a3277 (forall ((V_g_2 $$unsorted) (V_h_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image T_b T_c V_f_2 V_z_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_c T_c V_h_2 V_A_2) (= (tptp.hAPP (tptp.hAPP V_F_2 V_g_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_c V_h_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_F_2 (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_c V_g_2) V_h_2)) V_A_2)))))))
% 80.53/80.77  (assume a3278 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2)))))))))
% 80.53/80.77  (assume a3279 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (T_g $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_e $$unsorted) (T_f $$unsorted) (V_F_2 $$unsorted) (V_fa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_fa_2 V_F_2) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_f T_e T_d V_f_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_g T_f T_d V_g_2) V_h_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_g T_e T_d (tptp.hAPP (tptp.c_Fun_Ocomp T_f T_e T_g V_f_2) V_g_2)) V_h_2)))))
% 80.53/80.77  (assume a3280 (forall ((V_x_2 $$unsorted) (V_y_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_f_2 V_y_2)) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))))))
% 80.53/80.77  (assume a3281 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_d $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_y_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_x_2)) V_g_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_y_2)) V_g_2))))))
% 80.53/80.77  (assume a3282 (forall ((V_f_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c V_g_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_d V_f_2) V_A_2)) V_g_2))))
% 80.53/80.77  (assume a3283 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_e $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod T_d T_e) T_d (tptp.tc_prod T_b T_c) (tptp.c_Product__Type_Ofst T_d T_e)) (tptp.c_Product__Type_Omap__pair T_b T_d T_c T_e V_f_2 V_g_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_d (tptp.tc_prod T_b T_c) V_f_2) (tptp.c_Product__Type_Ofst T_b T_c)))))
% 80.53/80.77  (assume a3284 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_e $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod T_e T_d) T_d (tptp.tc_prod T_b T_c) (tptp.c_Product__Type_Osnd T_e T_d)) (tptp.c_Product__Type_Omap__pair T_b T_e T_c T_d V_f_2 V_g_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d (tptp.tc_prod T_b T_c) V_g_2) (tptp.c_Product__Type_Osnd T_b T_c)))))
% 80.53/80.77  (assume a3285 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image T_b T_c V_f_2 V_z_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) V_f_2) V_g_2)) V_h_2)) V_A_2) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP V_F_2 V_g_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_F_2 V_h_2) V_A_2)))))))
% 80.53/80.77  (assume a3286 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_e $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_d T_b) (tptp.hAPP (tptp.c_Fun_Ocomp T_e (tptp.tc_fun T_d T_b) T_c V_f_2) V_g_2)) V_x_2) (tptp.hAPP (tptp.hAPP V_f_2 (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_c T_d) V_x_2))) (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_d) V_x_2)))))
% 80.53/80.77  (assume a3287 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_f_2 V_x_2)))))))
% 80.53/80.77  (assume a3288 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_F_2 V_A_2)) V_g_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_x_2)) V_g_2)))))))
% 80.53/80.77  (assume a3289 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_B_2)) (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2))))))))
% 80.53/80.77  (assume a3290 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_F_2 V_B_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_F_2 V_A_2)) V_g_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_F_2 V_B_2)) V_g_2))))))))
% 80.53/80.77  (assume a3291 (forall ((V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (= (tptp.hAPP V_F_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Fun_Oid T_c)))))
% 80.53/80.77  (assume a3292 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image T_b T_c V_f_2 V_z_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_F_2 V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_b T_c V_f_2) V_g_2) V_z_2) V_A_2))))))
% 80.53/80.77  (assume a3293 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_f_2 V_x_2))))))))
% 80.53/80.77  (assume a3294 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2))))))))
% 80.53/80.77  (assume a3295 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))) (tptp.hAPP V_f_2 V_x_2)))))))
% 80.53/80.77  (assume a3296 (forall ((T_c $$unsorted) (V_h_2 $$unsorted) (V_f_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_d) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_S_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) V_S_2)) (=> (not (= B_x B_y)) (=> (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_f_2 B_y)) (= (tptp.hAPP V_h_2 (tptp.hAPP V_f_2 B_x)) (tptp.c_Groups_Ozero__class_Ozero T_d)))))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_d) V_h_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_d) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_h_2) V_f_2)) V_S_2)))))))
% 80.53/80.77  (assume a3297 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__idem T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2))))))))
% 80.53/80.77  (assume a3298 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__idem T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_F_2 V_B_2)) (tptp.hAPP V_F_2 V_A_2)))))))
% 80.53/80.77  (assume a3299 (forall ((V_x_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__idem T_b T_c V_f_2 V_F_2) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_x_2)))))
% 80.53/80.77  (assume a3300 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (T_d $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__idem T_b T_c V_f_2 V_F_2) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_x_2)) V_g_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_d (tptp.hAPP V_f_2 V_x_2)) V_g_2)))))
% 80.53/80.77  (assume a3301 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__idem T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_F_2 V_A_2)))))))
% 80.53/80.77  (assume a3302 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__idem T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_F_2 V_A_2)) (tptp.hAPP V_f_2 V_x_2)))))))
% 80.53/80.77  (assume a3303 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_d) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (= V_B_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (= (tptp.hAPP V_g_2 B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_h_2) V_f_2) B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_c T_d) V_h_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_d) V_g_2) V_A_2))))))))
% 80.53/80.77  (assume a3304 (forall ((V_y $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_x V_n) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_y V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_y) V_x)) (exists ((B_q $$unsorted)) (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) B_q))))))))
% 80.53/80.77  (assume a3305 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_A) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_R_2) B_A))) (= B_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.c_Wellfounded_Owf T_b V_R_2))))
% 80.53/80.77  (assume a3306 (forall ((V_D_2 $$unsorted) (V_B_2 $$unsorted) (T_c $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP V_B_2 B_x)) (tptp.hAPP V_D_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) V_C_2) V_D_2)))))))
% 80.53/80.77  (assume a3307 (forall ((V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Wellfounded_Oacc T_b V_R_2)))) (not (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_z) V_x_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_z) (tptp.c_Wellfounded_Oacc T_b V_R_2)))))))))
% 80.53/80.77  (assume a3308 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) V_x_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) (tptp.c_Wellfounded_Oacc T_b V_r_2))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))))))
% 80.53/80.77  (assume a3309 (forall ((V_R_2 $$unsorted) (V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_a1_2) V_a2_2)) (tptp.c_Wellfounded_Omax__ext T_b V_R_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_a1_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_a2_2)) (not (= V_a2_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_a1_2)) (exists ((B_xa $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_a2_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_xa)) V_R_2))))))))))
% 80.53/80.77  (assume a3310 (forall ((V_i_2 $$unsorted) (V_Pa_2 $$unsorted) (V_p_2 $$unsorted)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) V_p_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_i)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc B_i) V_p_2)))))) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_i_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) V_p_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))))
% 80.53/80.77  (assume a3311 (forall ((V_z_2 $$unsorted) (V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (= (tptp.hAPP V_g_2 B_x) (tptp.hAPP V_h_2 B_x)))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_g_2) V_z_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_c T_b (tptp.c_Groups_Otimes__class_Otimes T_c)) V_h_2) V_z_2) V_A_2)))))))
% 80.53/80.77  (assume a3312 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) B_y) V_x_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b V_A_2) V_x_2)))))))
% 80.53/80.77  (assume a3313 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) B_y)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b V_A_2) V_x_2)))))))
% 80.53/80.77  (assume a3314 (forall ((V_f_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (not (forall ((B_k $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP V_f_2 (tptp.hAPP tptp.c_Nat_OSuc B_k))) (tptp.hAPP V_f_2 B_k))) V_r_2)))))))
% 80.53/80.77  (assume a3315 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_d) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (= V_B_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) (=> (forall ((B_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) V_A_2)) (= (tptp.hAPP V_g_2 B_a) (tptp.hAPP V_h_2 (tptp.hAPP V_f_2 B_a))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_c T_d) V_h_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_d) V_g_2) V_A_2))))))))
% 80.53/80.77  (assume a3316 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_c T_d T_e T_b) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP V_g_2 (tptp.hAPP (tptp.c_Product__Type_Ofst T_d T_e) (tptp.hAPP V_f_2 V_x_2))) (tptp.hAPP (tptp.c_Product__Type_Osnd T_d T_e) (tptp.hAPP V_f_2 V_x_2))))))
% 80.53/80.77  (assume a3317 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__add T_c) (tptp.class_Orderings_Oord T_b)) (=> (= V_a_2 V_c_2) (=> (= V_b_2 V_d_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_c_2) B_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) B_x) V_d_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_g_2) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan T_b V_c_2) V_d_2)))))))))
% 80.53/80.77  (assume a3318 (forall ((V_f_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_b T_d T_b T_c) (tptp.hAPP (tptp.c_Product__Type_OPair T_d T_b) V_x_2)) V_f_2) (tptp.hAPP V_f_2 V_x_2))))
% 80.53/80.77  (assume a3319 (forall ((V_x_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_b T_c T_d (tptp.tc_prod T_c T_d)) V_x_2) (tptp.c_Product__Type_OPair T_c T_d)) V_x_2)))
% 80.53/80.77  (assume a3320 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_g $$unsorted) (T_f $$unsorted) (T_c $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_b T_d T_e T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_b T_f T_g (tptp.tc_prod T_d T_e)) V_f_2) V_g_2)) V_h_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_b T_f T_g T_c) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_f (tptp.tc_fun T_d (tptp.tc_fun T_e T_c)) (tptp.tc_fun T_g T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_g (tptp.tc_prod T_d T_e)) (tptp.tc_fun (tptp.tc_fun T_d (tptp.tc_fun T_e T_c)) (tptp.tc_fun T_g T_c)) T_f) (tptp.c_Product__Type_Oscomp T_g T_d T_e T_c)) V_g_2)) V_h_2)))))
% 80.53/80.77  (assume a3321 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_c T_d T_e T_b) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_d T_e T_b) V_g_2) (tptp.hAPP V_f_2 V_x_2)))))
% 80.53/80.77  (assume a3322 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_e $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_c T_d T_e T_b) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_d T_e T_b) V_g_2) (tptp.hAPP V_f_2 V_x_2)))))
% 80.53/80.77  (assume a3323 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_k_2 $$unsorted)) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (= (tptp.hAPP (tptp.c_Random_Oiterate T_c T_b V_k_2 V_f_2) V_x_2) (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_x_2))) (=> (not (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (= (tptp.hAPP (tptp.c_Random_Oiterate T_c T_b V_k_2 V_f_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp T_b T_c T_b (tptp.tc_prod T_c T_b)) (tptp.hAPP V_f_2 V_x_2)) (tptp.c_Random_Oiterate T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_k_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) V_f_2)))))))
% 80.53/80.77  (assume a3324 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_m_2) V_na_2)) (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.77  (assume a3325 (forall ((V_k_2 $$unsorted) (V_f_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (forall ((B_i $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) B_i)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) B_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (tptp.hAPP V_f_2 B_i)))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m_2) V_na_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP V_f_2 V_m_2)) V_k_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_k_2) (tptp.hAPP V_f_2 V_na_2))) (exists ((B_i $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) B_i)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_i) V_na_2)) (= (tptp.hAPP V_f_2 B_i) V_k_2)))))))))
% 80.53/80.77  (assume a3326 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b V_r_2) (tptp.c_Wellfounded_Owf T_b (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))
% 80.53/80.77  (assume a3327 (= tptp.c_Wellfounded_Oless__than (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)))
% 80.53/80.77  (assume a3328 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Oacyclic T_b V_r_2) (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))))))))
% 80.53/80.77  (assume a3329 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3330 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2)))))))
% 80.53/80.77  (assume a3331 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) V_s_2)) V_r_2)) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) V_s_2))))))
% 80.53/80.77  (assume a3332 (forall ((V_r_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3333 (forall ((T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3334 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) V_r_2))))
% 80.53/80.77  (assume a3335 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_b T_b) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) (tptp.hAPP (tptp.c_Relation_ORange T_b T_b) V_r_2))))
% 80.53/80.77  (assume a3336 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_b)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_b)) V_r_2)))))
% 80.53/80.77  (assume a3337 (forall ((V_c_2 $$unsorted) (V_R_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_R_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_R_2)))))))
% 80.53/80.77  (assume a3338 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3339 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3340 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3341 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Otrancl T_b V_s_2)))))))
% 80.53/80.77  (assume a3342 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) V_r_2)))))
% 80.53/80.77  (assume a3343 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))))))
% 80.53/80.77  (assume a3344 (forall ((V_i $$unsorted) (V_b $$unsorted)) (and (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral) V_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_i) V_b))) (= (tptp.c_Random_Olog V_b V_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))) (=> (not (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral) V_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_i) V_b)))) (= (tptp.c_Random_Olog V_b V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_Random_Olog V_b (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral) V_i) V_b))))))))
% 80.53/80.77  (assume a3345 (forall ((V_r $$unsorted) (V_l $$unsorted) (V_k $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_k) V_l)) (= (tptp.c_Random_Ominus__shift V_r V_k V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral) V_r) V_k)) V_l))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_k) V_l))) (= (tptp.c_Random_Ominus__shift V_r V_k V_l) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_k) V_l))))))
% 80.53/80.77  (assume a3346 (forall ((V_k $$unsorted) (V_v $$unsorted)) (and (=> (= V_v V_k) (= (tptp.c_Random_Oinc__shift V_v V_k) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))) (=> (not (= V_v V_k)) (= (tptp.c_Random_Oinc__shift V_v V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral) V_k) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)))))))
% 80.53/80.77  (assume a3347 (forall ((V_s $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.hAPP (tptp.c_Random_Orange V_k) V_s))) V_k)))))
% 80.53/80.77  (assume a3348 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_x_2)) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b (tptp.tc_prod T_b T_b)) (tptp.c_Product__Type_OPair T_b T_b)) V_y_2))) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b))) (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2))) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))))))
% 80.53/80.77  (assume a3349 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b)))) (tptp.c_Product__Type_OPair T_b T_b)))) V_r_2)) tptp.c_fequal) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b)))))))
% 80.53/80.77  (assume a3350 (forall ((V_r_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3351 (forall ((V_r_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_a_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))
% 80.53/80.77  (assume a3352 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_a_2)) (tptp.c_Relation_OId T_b)))))
% 80.53/80.77  (assume a3353 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3354 (forall ((V_r_2 $$unsorted) (V_s_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Relation_OId T_b)) V_s_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) V_s_2)) V_r_2)) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) V_s_2))))))
% 80.53/80.77  (assume a3355 (forall ((V_X_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) V_X_2)) V_X_2)) (= (tptp.hAPP (tptp.c_Relation_OImage T_b T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) V_X_2) V_X_2))))
% 80.53/80.77  (assume a3356 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_s_2))))))
% 80.53/80.77  (assume a3357 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_S_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (= (tptp.c_Transitive__Closure_Ortrancl T_b V_S_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))))
% 80.53/80.77  (assume a3358 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_s_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_s_2))))))
% 80.53/80.77  (assume a3359 (forall ((V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_c T_c) V_R_2) (tptp.c_Relation_OId T_c)) V_R_2)))
% 80.53/80.77  (assume a3360 (forall ((V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_c) (tptp.c_Relation_OId T_b)) V_R_2) V_R_2)))
% 80.53/80.77  (assume a3361 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_b T_b (tptp.c_Relation_OId T_b)) V_A_2) V_A_2)))
% 80.53/80.77  (assume a3362 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3363 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3364 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3365 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))
% 80.53/80.77  (assume a3366 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b))) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))
% 80.53/80.77  (assume a3367 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) (tptp.c_Relation_OId T_b))) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))
% 80.53/80.77  (assume a3368 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_S_2))) (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))
% 80.53/80.77  (assume a3369 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Relation_OId T_b)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))
% 80.53/80.77  (assume a3370 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))
% 80.53/80.77  (assume a3371 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_r_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) V_r_2))))
% 80.53/80.77  (assume a3372 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Relation_OId T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) V_r_2)))))
% 80.53/80.77  (assume a3373 (forall ((T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (tptp.c_Relation_OId T_b))))
% 80.53/80.77  (assume a3374 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) (tptp.c_Relation_OId T_b)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))
% 80.53/80.77  (assume a3375 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b))) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))
% 80.53/80.77  (assume a3376 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))
% 80.53/80.77  (assume a3377 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.c_Transitive__Closure_Otrancl T_b V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))
% 80.53/80.77  (assume a3378 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_x_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_x_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_S_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_x_2) (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))))
% 80.53/80.77  (assume a3379 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3380 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_b T_b) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3381 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Orefl__on T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))
% 80.53/80.77  (assume a3382 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) V_r_2))))
% 80.53/80.77  (assume a3383 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_r_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))
% 80.53/80.77  (assume a3384 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_S_2))) (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 80.53/80.77  (assume a3385 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Relation_OId T_b))) (= V_a_2 V_b_2))))
% 80.53/80.77  (assume a3386 (forall ((V_z_2 $$unsorted) (V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_z_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3387 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3388 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3389 (forall ((V_R_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (or (= V_a_2 V_b_2) (and (not (= V_a_2 V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_R_2))))))))
% 80.53/80.77  (assume a3390 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3391 (forall ((V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (or (= V_x_2 V_y_2) (and (not (= V_x_2 V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_R_2))))))))
% 80.53/80.77  (assume a3392 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) (tptp.c_Relation_OId T_b)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3393 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_b T_b) (tptp.c_Relation_OId T_b)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3394 (forall ((T_b $$unsorted)) (tptp.c_Relation_Orefl__on T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Relation_OId T_b))))
% 80.53/80.77  (assume a3395 (= tptp.c_FunDef_Opair__leq (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) tptp.tc_HOL_Obool)) tptp.c_FunDef_Opair__less) (tptp.c_Relation_OId (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)))))
% 80.53/80.77  (assume a3396 (forall ((V_y_2 $$unsorted) (V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) V_R_2)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (= V_x_2 V_y_2)))))
% 80.53/80.77  (assume a3397 (forall ((V_b_2 $$unsorted) (V_r_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_a_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Wellfounded_Oacc T_b V_r_2)))))))
% 80.53/80.77  (assume a3398 (forall ((V_r_2 $$unsorted) (V_a_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_a_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.c_Wellfounded_Oacc T_b V_r_2)))))))
% 80.53/80.77  (assume a3399 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_x_2)) V_r_2)) (and (tptp.c_Wellfounded_Owf T_b V_r_2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))))
% 80.53/80.77  (assume a3400 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Oacyclic T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_x_2)) V_r_2)) (and (tptp.c_Wellfounded_Oacyclic T_b V_r_2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))))
% 80.53/80.77  (assume a3401 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Orefl__on T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b)))))
% 80.53/80.77  (assume a3402 (forall ((T_b $$unsorted)) (= (tptp.c_Relation_OId T_b) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_prod T_b T_b)) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_prod T_b T_b) (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_prod T_b T_b)) (tptp.c_COMBB (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b (tptp.tc_prod T_b T_b)) (tptp.c_Product__Type_OPair T_b T_b)) (tptp.c_COMBI T_b))))))))
% 80.53/80.77  (assume a3403 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Oirrefl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b)))))
% 80.53/80.77  (assume a3404 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat) V_m_2) V_na_2)) (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)))))
% 80.53/80.77  (assume a3405 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))) (or (= V_a_2 V_b_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)))))))
% 80.53/80.77  (assume a3406 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_x_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3407 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted) (V_r_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP V_f_2 (tptp.hAPP tptp.c_Nat_OSuc B_i))) (tptp.hAPP V_f_2 B_i))) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) V_k_2))) (tptp.hAPP V_f_2 V_i_2))) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3408 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Ototal__on T_b V_A_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b))) (tptp.c_Relation_Ototal__on T_b V_A_2 V_r_2))))
% 80.53/80.77  (assume a3409 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.c_Relation_OId T_b)) (tptp.c_Relation_OId T_b))))
% 80.53/80.77  (assume a3410 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))
% 80.53/80.77  (assume a3411 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))
% 80.53/80.77  (assume a3412 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Oacyclic T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Wellfounded_Oacyclic T_b V_r_2))))
% 80.53/80.77  (assume a3413 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Orefl__on T_b V_A_2 (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2))))
% 80.53/80.77  (assume a3414 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_c T_b)) V_r_2)))))
% 80.53/80.77  (assume a3415 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.c_Relation_OId__on T_b V_A_2)) (tptp.c_Relation_OId__on T_b V_A_2))))
% 80.53/80.77  (assume a3416 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OField T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_OField T_b) V_r_2))))
% 80.53/80.77  (assume a3417 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_c) V_r_2)) V_r_2)))
% 80.53/80.77  (assume a3418 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Ototal__on T_b V_A_2 (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Relation_Ototal__on T_b V_A_2 V_r_2))))
% 80.53/80.77  (assume a3419 (forall ((V_f_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image T_c T_b) V_R_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image T_c T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_c) V_R_2)) V_f_2))))
% 80.53/80.77  (assume a3420 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_s_2)))))
% 80.53/80.77  (assume a3421 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_s_2)))))
% 80.53/80.77  (assume a3422 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_c T_d T_b) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) (tptp.hAPP (tptp.c_Relation_Oconverse T_d T_b) V_s_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_d) V_r_2)))))
% 80.53/80.77  (assume a3423 (forall ((V_r_2 $$unsorted) (V_S_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_S_2) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) T_d) (tptp.c_Relation_Oconverse T_c T_b)) V_r_2)))))
% 80.53/80.77  (assume a3424 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_b_2) V_a_2)) V_r_2)))))
% 80.53/80.77  (assume a3425 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_b_2) V_a_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_c) V_r_2))))))
% 80.53/80.77  (assume a3426 (forall ((V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_b_2) V_a_2)) V_r_2)))))
% 80.53/80.77  (assume a3427 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3428 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) V_r_2) V_r_2))))
% 80.53/80.77  (assume a3429 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_r_2) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2)))))
% 80.53/80.77  (assume a3430 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) V_r_2))))
% 80.53/80.77  (assume a3431 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_c) V_r_2)) (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) V_r_2))))
% 80.53/80.77  (assume a3432 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Ototal__on T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_r_2)))
% 80.53/80.77  (assume a3433 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_x_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)))))))
% 80.53/80.77  (assume a3434 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_x_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3435 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3436 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)))))))
% 80.53/80.77  (assume a3437 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) V_A_2)) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_b T_c (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2))))))))
% 80.53/80.77  (assume a3438 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) V_r_2))))))
% 80.53/80.77  (assume a3439 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) V_r_2) V_r_2) (=> (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_b) V_r_2) V_A_2) (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2)))))
% 80.53/80.77  (assume a3440 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_prod T_b T_b)) V_r_2)) (=> (tptp.c_Wellfounded_Oacyclic T_b V_r_2) (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2))))))
% 80.53/80.77  (assume a3441 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Ototal__on T_b V_A_2 V_r_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_A_2)) (=> (not (= B_x B_xa)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_xa)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_xa) B_x)) V_r_2)))))))))))
% 80.53/80.77  (assume a3442 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_c T_b)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_c T_b)))) (tptp.hAPP (tptp.c_COMBC T_c T_b (tptp.tc_prod T_c T_b)) (tptp.c_Product__Type_OPair T_c T_b))))) V_r_2))))))
% 80.53/80.77  (assume a3443 (forall ((V_R_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2)))))))
% 80.53/80.77  (assume a3444 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))))) (tptp.c_Wellfounded_Oacyclic T_b V_r_2))))
% 80.53/80.77  (assume a3445 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_R_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_b T_c (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_R_2)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) V_A_2)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_R_2) V_B_2))))))
% 80.53/80.77  (assume a3446 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (=> (tptp.c_Relation_Osingle__valued T_b T_c V_s_2) (tptp.c_Relation_Osingle__valued T_b T_c V_r_2)))))
% 80.53/80.77  (assume a3447 (forall ((V_f_2 $$unsorted) (V_na_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_fun T_b T_c) (tptp.tc_fun T_b T_c)) V_na_2) (tptp.c_Fun_Ocomp T_c T_c T_b V_f_2)) (tptp.c_Fun_Ocomp T_c T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_c T_c) V_na_2) V_f_2)))))
% 80.53/80.77  (assume a3448 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Owf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2)) (tptp.c_Wellfounded_Owf T_b V_R_2))))
% 80.53/80.77  (assume a3449 (forall ((V_f_2 $$unsorted) (V_m_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) V_m_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2)) V_f_2))))
% 80.53/80.77  (assume a3450 (forall ((V_x_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted) (V_f_2 $$unsorted)) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) V_na_2) V_f_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) V_na_2) V_f_2) (tptp.hAPP V_f_2 V_x_2)))))
% 80.53/80.77  (assume a3451 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_R_2) V_R_2)))
% 80.53/80.77  (assume a3452 (forall ((V_na_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_b T_b V_R_2) (tptp.c_Relation_Osingle__valued T_b T_b (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2)))))
% 80.53/80.77  (assume a3453 (forall ((V_na_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2)) V_R_2))))
% 80.53/80.77  (assume a3454 (forall ((V_s_2 $$unsorted) (T_d $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_b T_c V_r_2) (=> (tptp.c_Relation_Osingle__valued T_c T_d V_s_2) (tptp.c_Relation_Osingle__valued T_b T_d (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_c T_d) V_r_2) V_s_2))))))
% 80.53/80.77  (assume a3455 (forall ((T_b $$unsorted)) (tptp.c_Relation_Osingle__valued T_b T_b (tptp.c_Relation_OId T_b))))
% 80.53/80.77  (assume a3456 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))))
% 80.53/80.77  (assume a3457 (forall ((V_R_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (exists ((B_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) B_n) V_R_2)))))))
% 80.53/80.77  (assume a3458 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Osingle__valued T_b T_b (tptp.c_Relation_OId__on T_b V_A_2))))
% 80.53/80.77  (assume a3459 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2)) V_R_2))))
% 80.53/80.77  (assume a3460 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_na_2)) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_m_2) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2)))))
% 80.53/80.77  (assume a3461 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_R_2) (tptp.c_Relation_OId T_b))))
% 80.53/80.77  (assume a3462 (forall ((V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_R_2)))))
% 80.53/80.77  (assume a3463 (forall ((V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_R_2))) (= V_x_2 V_y_2))))
% 80.53/80.77  (assume a3464 (forall ((V_na_2 $$unsorted) (V_z_2 $$unsorted) (V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_R_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_R_2)))))))
% 80.53/80.77  (assume a3465 (forall ((V_z_2 $$unsorted) (V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_z_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_R_2)))))))
% 80.53/80.77  (assume a3466 (forall ((V_f_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_f_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_b T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) V_na_2) V_f_2)))))
% 80.53/80.77  (assume a3467 (forall ((V_f_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_na_2)) V_f_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_b T_b (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) V_m_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) V_na_2) V_f_2)))))
% 80.53/80.77  (assume a3468 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_b T_c V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_z_2)) V_r_2)) (= V_y_2 V_z_2))))))
% 80.53/80.77  (assume a3469 (forall ((V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Osingle__valued T_b T_c V_r_2) (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_x) B_y)) V_r_2)) (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_x) B_z)) V_r_2)) (= B_y B_z))))))))
% 80.53/80.77  (assume a3470 (forall ((V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow T_b T_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_f_2) (tptp.c_Fun_Oid T_b))))
% 80.53/80.77  (assume a3471 (forall ((V_R_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Transitive__Closure_Otrancl T_b V_R_2))) (exists ((B_n $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) B_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) B_n) V_R_2))))))))
% 80.53/80.77  (assume a3472 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_R_2)))))
% 80.53/80.77  (assume a3473 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_b T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) V_z_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_z_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))))))
% 80.53/80.77  (assume a3474 (forall ((T_b $$unsorted)) (= (tptp.c_Nat_Ofunpow T_b) (tptp.c_Nat_Ocompow T_b T_b))))
% 80.53/80.77  (assume a3475 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_z_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))) (=> (=> (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (not (= V_x_2 V_z_2))) (not (forall ((B_y $$unsorted) (B_m $$unsorted)) (=> (= V_na_2 (tptp.hAPP tptp.c_Nat_OSuc B_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) B_y)) V_R_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) B_m) V_R_2))))))))))))
% 80.53/80.77  (assume a3476 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_z_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))) (=> (=> (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (not (= V_x_2 V_z_2))) (not (forall ((B_y $$unsorted) (B_m $$unsorted)) (=> (= V_na_2 (tptp.hAPP tptp.c_Nat_OSuc B_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) B_m) V_R_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) V_z_2)) V_R_2)))))))))))
% 80.53/80.77  (assume a3477 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2) V_Q_2)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) B_x)) (tptp.c_Transitive__Closure_Ortrancl T_b V_Pa_2))) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_y)) V_Q_2)) (= B_x B_y))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_Pa_2)))))))
% 80.53/80.77  (assume a3478 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_Pa_2) V_Q_2)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_Pa_2))) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) B_x)) V_Q_2)) (= B_y B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_Pa_2)))))))
% 80.53/80.77  (assume a3479 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_z_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_R_2))) (exists ((B_y $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) B_y)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))))))))
% 80.53/80.77  (assume a3480 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_z_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_R_2))) (not (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) B_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) V_z_2)) V_R_2)))))))))
% 80.53/80.77  (assume a3481 (forall ((V_R_2 $$unsorted) (V_na_2 $$unsorted) (V_z_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) V_R_2))) (not (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) B_y)) V_R_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) V_z_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_na_2) V_R_2))))))))))
% 80.53/80.77  (assume a3482 (forall ((V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_R_2))) (exists ((B_z $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) B_z)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_z) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))))))))
% 80.53/80.77  (assume a3483 (forall ((V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_b V_R_2))) (exists ((B_z $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) B_z)) (tptp.c_Transitive__Closure_Ortrancl T_b V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_z) V_y_2)) V_R_2)))))))
% 80.53/80.77  (assume a3484 (forall ((V_p_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) V_p_2) (tptp.c_Relation_OId T_b))) (not (forall ((B_x $$unsorted)) (not (= V_p_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x))))))))
% 80.53/80.77  (assume a3485 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_x_2) V_A_2)))))))
% 80.53/80.77  (assume a3486 (forall ((V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_c T_b V_f_2) V_z_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_z_2)))
% 80.53/80.77  (assume a3487 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_b T_c V_f_2) V_g_2) (tptp.c_Finite__Set_Ofold T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) V_f_2) V_g_2)))))
% 80.53/80.77  (assume a3488 (forall ((V_s_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding T_b T_c V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_F_2 V_A_2) V_s_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_s_2) V_A_2))))))
% 80.53/80.77  (assume a3489 (forall ((V_A_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_c T_b V_f_2) V_z_2) V_A_2) (tptp.c_HOL_OThe T_b (tptp.c_Finite__Set_Ofold__graph T_c T_b V_f_2 V_z_2 V_A_2)))))
% 80.53/80.77  (assume a3490 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Set_Oinsert T_b)) V_B_2) V_A_2)))))
% 80.53/80.77  (assume a3491 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_b_2) V_A_2)))))))
% 80.53/80.77  (assume a3492 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_b_2) V_A_2)))))))
% 80.53/80.77  (assume a3493 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_b_2) V_A_2)))))))
% 80.53/80.77  (assume a3494 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_b_2) V_A_2)))))))
% 80.53/80.77  (assume a3495 (forall ((V_x_2 $$unsorted) (V_z_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_z_2)) V_A_2))))))
% 80.53/80.77  (assume a3496 (forall ((V_x_2 $$unsorted) (V_z_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) V_A_2)))))))
% 80.53/80.77  (assume a3497 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_c) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b T_c) V_A_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Lattices_Osemilattice__sup__class_Osup T_c)) V_f_2)) V_B_2) V_A_2))))))
% 80.53/80.77  (assume a3498 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one__idem T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b V_f_2) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3499 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_b_2) V_A_2))))))))
% 80.53/80.77  (assume a3500 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_b_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_a_2) V_b_2))))))))
% 80.53/80.77  (assume a3501 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_b_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_a_2) V_b_2))))))))
% 80.53/80.77  (assume a3502 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_b_2) V_A_2))))))))
% 80.53/80.77  (assume a3503 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3504 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3505 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3506 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3507 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3508 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3509 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_a_2) V_A_2))))))
% 80.53/80.77  (assume a3510 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) V_B_2) V_A_2)))))
% 80.53/80.77  (assume a3511 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__one T_b V_f_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP V_F_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b V_f_2) V_x_2) V_A_2)))))))
% 80.53/80.77  (assume a3512 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b T_c) V_A_2) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Lattices_Osemilattice__sup__class_Osup T_c)) V_f_2)) (tptp.c_Orderings_Obot__class_Obot T_c)) V_A_2))))))
% 80.53/80.77  (assume a3513 (forall ((V_a_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2))) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) V_a_2) V_A_2)))))))
% 80.53/80.77  (assume a3514 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_x_2) V_A_2)))))))
% 80.53/80.77  (assume a3515 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_x_2) V_A_2)))))))
% 80.53/80.77  (assume a3516 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_x_2) V_A_2)))))))
% 80.53/80.77  (assume a3517 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_x_2) V_A_2)))))))
% 80.53/80.77  (assume a3518 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_x_2) V_A_2)))))))
% 80.53/80.77  (assume a3519 (forall ((V_z_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) V_A_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))))))
% 80.53/80.77  (assume a3520 (forall ((V_x_2 $$unsorted) (V_z_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))
% 80.53/80.77  (assume a3521 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b T_c) V_A_2) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_c)) V_f_2)) (tptp.c_Orderings_Otop__class_Otop T_c)) V_A_2))))))
% 80.53/80.77  (assume a3522 (forall ((V_a_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP V_B_2 V_a_2)))))))
% 80.53/80.77  (assume a3523 (forall ((V_a_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP V_B_2 V_a_2)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_a_2) V_A_2)))))))
% 80.53/80.77  (assume a3524 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_a_2) V_b_2))))))
% 80.53/80.77  (assume a3525 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_b_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_a_2) V_b_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)))))))
% 80.53/80.77  (assume a3526 (forall ((V_a_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_b_2) V_c_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_B_2 V_a_2) V_b_2) V_c_2))))))
% 80.53/80.77  (assume a3527 (forall ((V_a_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_b_2) V_c_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_B_2 V_a_2) V_b_2) V_c_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)))))))
% 80.53/80.77  (assume a3528 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted)) (=> (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_I_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_A_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_I_2) V_A_2))))))
% 80.53/80.77  (assume a3529 (forall ((V_B_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_B_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3530 (forall ((V_c_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (and (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_c_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) V_c_2)) V_c_2)))))
% 80.53/80.77  (assume a3531 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_d) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)) V_C_2)))))
% 80.53/80.77  (assume a3532 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2))))
% 80.53/80.77  (assume a3533 (forall ((V_M_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_u_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_u_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c T_b) V_A_2) V_M_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_u_2) (tptp.hAPP V_M_2 B_x)))))))))
% 80.53/80.77  (assume a3534 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (tptp.class_Orderings_Olinorder T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c T_b) V_A_2) V_f_2)) V_a_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP V_f_2 B_x)) V_a_2))))))))
% 80.53/80.77  (assume a3535 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_u_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_u_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.77  (assume a3536 (forall ((T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__mult T_b) (tptp.c_Finite__Set_Ofun__left__comm T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b)))))
% 80.53/80.77  (assume a3537 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP V_B_2 B_x))))))))
% 80.53/80.77  (assume a3538 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_c) (tptp.c_COMBC T_d (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_prod T_c T_d)) (tptp.tc_fun T_d (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_c) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_d) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_d) (tptp.c_member (tptp.tc_prod T_c T_d)))) (tptp.c_Product__Type_OPair T_c T_d))))) V_r_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun (tptp.tc_prod T_c T_d) tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2))))))
% 80.53/80.77  (assume a3539 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (= (tptp.hAPP V_B_2 B_x) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3540 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (= (tptp.hAPP V_B_2 B_x) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3541 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (tptp.c_Finite__Set_Ofun__left__comm T_d T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c T_c) T_d) V_f_2) V_g_2)))))
% 80.53/80.77  (assume a3542 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (= (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP (tptp.hAPP V_f_2 V_y_2) V_z_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_y_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_z_2))))))
% 80.53/80.77  (assume a3543 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_B_2)))))
% 80.53/80.77  (assume a3544 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_d T_b)) V_A_2) V_f_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_d T_b) V_f_2) V_x_2))))))
% 80.53/80.77  (assume a3545 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c T_b) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d T_b) T_b T_c) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d T_b) V_B_2)) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d T_b) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_b) T_b T_d) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c T_b) V_A_2)) (tptp.hAPP (tptp.c_COMBC T_c T_d T_b) V_f_2)))))))
% 80.53/80.77  (assume a3546 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_Set_OPow T_b)) V_B_2)))))
% 80.53/80.77  (assume a3547 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_d T_c V_f_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) V_B_2) V_f_2)))))
% 80.53/80.77  (assume a3548 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) V_B_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_d V_f_2) V_A_2)) V_B_2))))
% 80.53/80.77  (assume a3549 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))
% 80.53/80.77  (assume a3550 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2)) V_B_2)))))
% 80.53/80.77  (assume a3551 (forall ((T_b $$unsorted)) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b tptp.tc_HOL_Obool) (tptp.c_Set_OBall T_b))))
% 80.53/80.77  (assume a3552 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.c_Set_Ovimage T_b T_c V_f_2)) V_B_2)))))
% 80.53/80.77  (assume a3553 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_c T_c (tptp.hAPP V_f_2 V_y_2)) (tptp.hAPP V_f_2 V_x_2))))))
% 80.53/80.77  (assume a3554 (forall ((V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_I_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP V_A_2 B_x))))))))
% 80.53/80.77  (assume a3555 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) V_y_2)) (= V_y_2 V_x_2))))))
% 80.53/80.77  (assume a3556 (forall ((V_B_2 $$unsorted) (V_J_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_J_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_J_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool))) T_c) (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2))) V_B_2))))))
% 80.53/80.77  (assume a3557 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)))))
% 80.53/80.77  (assume a3558 (forall ((V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_I_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2)) V_A_2)))))
% 80.53/80.77  (assume a3559 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_B_2)))))
% 80.53/80.77  (assume a3560 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2))))
% 80.53/80.77  (assume a3561 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))
% 80.53/80.77  (assume a3562 (forall ((V_r_2 $$unsorted) (V_S_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool)) V_S_2) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) T_d) (tptp.c_Relation_Oconverse T_c T_b)) V_r_2)))))
% 80.53/80.77  (assume a3563 (forall ((V_M_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b T_c) V_A_2) (tptp.hAPP (tptp.c_COMBK T_c T_b) V_M_2)) V_M_2)))))
% 80.53/80.77  (assume a3564 (forall ((V_A_2 $$unsorted) (T_c $$unsorted) (V_I_2 $$unsorted) (V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_k_2) V_I_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP V_A_2 V_k_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_I_2) V_A_2)))))
% 80.53/80.77  (assume a3565 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c))) V_r_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2))))))
% 80.53/80.77  (assume a3566 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP V_B_2 V_a_2))))))
% 80.53/80.77  (assume a3567 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) V_B_2)) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)))))))
% 80.53/80.77  (assume a3568 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) V_A_2)) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)))))))
% 80.53/80.77  (assume a3569 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_c) V_a_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP V_B_2 V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 80.53/80.77  (assume a3570 (forall ((V_Pa_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OAll T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_A_2)))) V_Pa_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.c_Set_OCollect T_b)) (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) V_Pa_2))))))
% 80.53/80.77  (assume a3571 (forall ((V_M_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_M_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_M_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_M_2)))))
% 80.53/80.77  (assume a3572 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))
% 80.53/80.77  (assume a3573 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) V_B_2)))))
% 80.53/80.77  (assume a3574 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.c_Relation_OImage T_c T_b V_r_2)) V_B_2))))))
% 80.53/80.77  (assume a3575 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)))))
% 80.53/80.77  (assume a3576 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)))))
% 80.53/80.77  (assume a3577 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b T_c) V_B_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b T_c) V_A_2) V_f_2)))))))
% 80.53/80.77  (assume a3578 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OAll T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c)) (tptp.c_member T_b))) V_B_2)))))))
% 80.53/80.77  (assume a3579 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2))))))
% 80.53/80.77  (assume a3580 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))))
% 80.53/80.77  (assume a3581 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2))))))
% 80.53/80.77  (assume a3582 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_B_2))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool))) V_A_2)) V_B_2)))))))
% 80.53/80.77  (assume a3583 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) V_A_2)) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)))))))
% 80.53/80.77  (assume a3584 (forall ((V_z_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_z_2)) V_A_2))))))
% 80.53/80.77  (assume a3585 (forall ((V_M_2 $$unsorted) (V_A_2 $$unsorted) (V_i_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b T_c) V_A_2) V_M_2)) (tptp.hAPP V_M_2 V_i_2)))))))
% 80.53/80.77  (assume a3586 (forall ((V_y_2 $$unsorted) (V_A_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) V_y_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) V_A_2) V_y_2)))))
% 80.53/80.77  (assume a3587 (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.77  (assume a3588 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted)) (and (=> (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))) (=> (not (= V_C_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) V_B_2)))))))
% 80.53/80.77  (assume a3589 (forall ((V_B_2 $$unsorted) (T_d $$unsorted) (V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_b T_c (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_d tptp.tc_HOL_Obool)))) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_d) (tptp.c_Relation_OImage T_c T_b V_r_2)) V_B_2)))))))
% 80.53/80.77  (assume a3590 (forall ((V_f_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_c) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b T_c) V_A_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c T_c) T_b) (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_c)) V_f_2)) V_B_2) V_A_2))))))
% 80.53/80.77  (assume a3591 (forall ((V_z_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) V_A_2)))))))
% 80.53/80.77  (assume a3592 (forall ((V_z_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) V_z_2)) V_A_2)))))))
% 80.53/80.77  (assume a3593 (forall ((V_z_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_z_2) V_A_2))))))))
% 80.53/80.77  (assume a3594 (forall ((V_a_2 $$unsorted) (V_y_2 $$unsorted) (V_A_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (exists ((B_y_H $$unsorted)) (and (= V_y_2 (tptp.hAPP (tptp.hAPP V_f_2 V_a_2) B_y_H)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) B_y_H)))))))))
% 80.53/80.77  (assume a3595 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) (tptp.c_Orderings_Otop__class_Otop T_b)) V_A_2))))))
% 80.53/80.77  (assume a3596 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) (tptp.c_Orderings_Obot__class_Obot T_b)) V_A_2))))))
% 80.53/80.77  (assume a3597 (forall ((V_M_2 $$unsorted) (T_b $$unsorted)) (=> (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_x) V_M_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) B_x)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_M_2))))))
% 80.53/80.77  (assume a3598 (forall ((V_A_2 $$unsorted) (V_C_2 $$unsorted) (V_X_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) V_X_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2)))))))
% 80.53/80.77  (assume a3599 (forall ((V_X_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) V_X_2))))))
% 80.53/80.77  (assume a3600 (forall ((V_X_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_X_2) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) V_X_2))))))
% 80.53/80.77  (assume a3601 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_b_2) V_c_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_B_2 B_x) V_b_2) V_c_2)))))))
% 80.53/80.77  (assume a3602 (forall ((V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_b_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 B_x) V_b_2)))))))
% 80.53/80.77  (assume a3603 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)))))
% 80.53/80.77  (assume a3604 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_A_2)) V_B_2))))
% 80.53/80.77  (assume a3605 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.77  (assume a3606 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2) V_A_2)))))
% 80.53/80.77  (assume a3607 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)))))
% 80.53/80.77  (assume a3608 (forall ((V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_x) V_C_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_x) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3609 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2))))))
% 80.53/80.77  (assume a3610 (forall ((V_S_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (tptp.class_Orderings_Olinorder T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_S_2))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_a_2) B_x))))))))
% 80.53/80.77  (assume a3611 (forall ((V_a_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (tptp.class_Orderings_Olinorder T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_S_2)) V_a_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) B_x) V_a_2))))))))
% 80.53/80.77  (assume a3612 (forall ((V_A_2 $$unsorted) (V_b_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_A_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) B_x))))))))
% 80.53/80.77  (assume a3613 (forall ((V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_A_2)) V_b_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) B_x) V_b_2))))))))
% 80.53/80.77  (assume a3614 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OField T_b) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) V_R_2)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Relation_OField T_b)) V_R_2)))))
% 80.53/80.77  (assume a3615 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_OPow T_b) V_A_2)) V_A_2)))
% 80.53/80.77  (assume a3616 (forall ((V_S_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) (tptp.c_Set_Oimage T_c T_b V_f_2)))))
% 80.53/80.77  (assume a3617 (forall ((V_B_2 $$unsorted) (V_X_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_X_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) V_X_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_b T_c)) V_B_2)))))
% 80.53/80.77  (assume a3618 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_A_2)) V_B_2))))
% 80.53/80.77  (assume a3619 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_A_2)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_B_2)))))
% 80.53/80.77  (assume a3620 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))))
% 80.53/80.77  (assume a3621 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)))))
% 80.53/80.77  (assume a3622 (forall ((V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ORange T_c T_b) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun (tptp.tc_prod T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) (tptp.c_Relation_ORange T_c T_b)))))
% 80.53/80.77  (assume a3623 (forall ((V_S_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_ODomain T_b T_c) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) (tptp.c_Relation_ODomain T_b T_c)))))
% 80.53/80.77  (assume a3624 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c tptp.tc_HOL_Obool) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Set_Ovimage T_b T_c V_f_2)))))
% 80.53/80.77  (assume a3625 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_A_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OAll T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.c_Orderings_Oord__class_Oless__eq T_b)))))))))
% 80.53/80.77  (assume a3626 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_A_2) (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OAll T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless__eq T_b))))))))))
% 80.53/80.77  (assume a3627 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) V_B_2)))))
% 80.53/80.77  (assume a3628 (forall ((T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3629 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2))))))
% 80.53/80.77  (assume a3630 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2)) V_A_2))))
% 80.53/80.77  (assume a3631 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_a_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2)))))
% 80.53/80.77  (assume a3632 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)))))
% 80.53/80.77  (assume a3633 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2))))))
% 80.53/80.77  (assume a3634 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2))))))
% 80.53/80.77  (assume a3635 (forall ((T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3636 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OAll (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.c_fimplies) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))) (tptp.c_member T_b)))))))
% 80.53/80.77  (assume a3637 (forall ((T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3638 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2)))))
% 80.53/80.77  (assume a3639 (forall ((V_B_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_a_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_a_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2)))))
% 80.53/80.77  (assume a3640 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2) V_A_2)))))
% 80.53/80.77  (assume a3641 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 80.53/80.77  (assume a3642 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_A_2)))))))
% 80.53/80.77  (assume a3643 (forall ((T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3644 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_A_2)) V_x_2))))))
% 80.53/80.77  (assume a3645 (forall ((T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot T_b)))))
% 80.53/80.77  (assume a3646 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2)))))
% 80.53/80.77  (assume a3647 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_a_2))))
% 80.53/80.77  (assume a3648 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_a_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_A_2))))))
% 80.53/80.77  (assume a3649 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2) V_C_2))) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2) V_C_2))))))
% 80.53/80.77  (assume a3650 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) V_a_2))))
% 80.53/80.77  (assume a3651 (forall ((T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop T_b)))))
% 80.53/80.77  (assume a3652 (forall ((T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop T_b)))))
% 80.53/80.77  (assume a3653 (forall ((T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot T_b)))))
% 80.53/80.77  (assume a3654 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_a_2) (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_A_2))))))
% 80.53/80.77  (assume a3655 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3656 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_c) (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2) V_C_2))) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2) V_C_2))))))
% 80.53/80.77  (assume a3657 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2))))))
% 80.53/80.77  (assume a3658 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3659 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_B_2))) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.77  (assume a3660 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_a_2) V_b_2)))))
% 80.53/80.77  (assume a3661 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_a_2) V_b_2)))))
% 80.53/80.77  (assume a3662 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_B_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_B_2) V_A_2))))))
% 80.53/80.77  (assume a3663 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b V_A_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b V_A_2)))))))
% 80.53/80.77  (assume a3664 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_B_2) (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_B_2) V_A_2))))))
% 80.53/80.77  (assume a3665 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b V_A_2) (tptp.c_Complete__Lattice_OInf__class_OInf T_b V_A_2)))))))
% 80.53/80.77  (assume a3666 (forall ((V_j_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (V_C_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_C_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_d) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP V_B_2 B_x)) V_C_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_d) V_j_2) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) (tptp.c_Set_Oimage T_b T_c V_f_2)) V_B_2))))))))
% 80.53/80.77  (assume a3667 (forall ((V_k_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2))) (=> (forall ((B_c $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_c) V_C_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) B_c) V_k_2))) (=> (forall ((B_c1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_c1) V_C_2)) (forall ((B_c2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_c2) V_C_2)) (=> (not (= B_c1 B_c2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_c1) B_c2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_C_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2)))))))))
% 80.53/80.77  (assume a3668 (forall ((V_S_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) (tptp.c_COMBI (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3669 (forall ((V_S_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_S_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) (tptp.c_COMBI (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3670 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (=> (forall ((B_M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_M) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) B_M)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)))))))
% 80.53/80.77  (assume a3671 (forall ((V_F_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2) V_F_2))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2) V_F_2))) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_xa) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2) V_F_2))) (=> (not (= B_x B_xa)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_x) B_xa) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_x_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_F_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3672 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_S_2 $$unsorted)) (=> (not (= V_S_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)))) (=> (forall ((B_A $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_A) V_S_2)) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 B_A))) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_S_2))))))
% 80.53/80.77  (assume a3673 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_X) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_X) V_B_2)))) (=> (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2)) V_B_2))))))
% 80.53/80.77  (assume a3674 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_I_2 $$unsorted)) (=> (not (= V_I_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_i) V_I_2)) (tptp.c_Fun_Oinj__on T_c T_d V_f_2 (tptp.hAPP V_A_2 B_i)))) (tptp.c_Fun_Oinj__on T_c T_d V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_I_2) V_A_2))))))
% 80.53/80.77  (assume a3675 (forall ((V_v_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_v_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2))) (not (forall ((B_y $$unsorted)) (=> (= V_v_2 (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) B_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold__graph T_b T_c V_f_2 V_z_2 V_A_2) B_y)))))))))))
% 80.53/80.77  (assume a3676 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) B_x) V_b_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b)) V_c_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) V_b_2) V_c_2))))))))
% 80.53/80.77  (assume a3677 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) B_x)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin T_b) V_b_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b)) V_c_2) V_A_2))))))))
% 80.53/80.77  (assume a3678 (forall ((V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_X) V_C_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) B_X)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2))))))
% 80.53/80.77  (assume a3679 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_b_2) B_x)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_b_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_c_2) V_A_2))))))))
% 80.53/80.77  (assume a3680 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) B_x) V_b_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_c_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_b_2) V_c_2))))))))
% 80.53/80.77  (assume a3681 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_a) V_b)) V_b)) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b))))))
% 80.53/80.77  (assume a3682 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Owf T_b V_r_2) (forall ((B_Q $$unsorted)) (=> (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) B_Q))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) B_Q)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) B_x)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) B_Q))))))))))))
% 80.53/80.77  (assume a3683 (forall ((V_P_H_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) B_x)) (= (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP V_P_H_2 B_x))))) (= (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) V_Pa_2)) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Int_Oint) tptp.c_fconj) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)))) V_P_H_2))))))
% 80.53/80.77  (assume a3684 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (tptp.hBOOL (tptp.hAPP V_Q_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Q_2))))))))
% 80.53/80.77  (assume a3685 (forall ((V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_C_2))) (not (forall ((B_X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_A_2) B_X)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_X) V_C_2)))))))))
% 80.53/80.77  (assume a3686 (forall ((V_r_2 $$unsorted) (V_yx_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) V_yx_2) (tptp.hAPP (tptp.c_Relation_Oconverse T_c T_b) V_r_2))) (not (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (= V_yx_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_y) B_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) B_x) B_y)) V_r_2)))))))))
% 80.53/80.77  (assume a3687 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_d $$unsorted) (V_xz_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) V_xz_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_d T_c) V_r_2) V_s_2))) (not (forall ((B_x $$unsorted) (B_y $$unsorted) (B_z $$unsorted)) (=> (= V_xz_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_x) B_z)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_d) B_x) B_y)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_d T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_d T_c) B_y) B_z)) V_s_2))))))))))
% 80.53/80.77  (assume a3688 (forall ((V_r_2 $$unsorted) (V_q_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Oplus__frac T_b V_q_2 V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet tptp.tc_Int_Oint T_b) (tptp.c_Nitpick_Oint__lcm (tptp.hAPP (tptp.c_Nitpick_Odenom T_b) V_q_2) (tptp.hAPP (tptp.c_Nitpick_Odenom T_b) V_r_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint T_b) tptp.tc_Int_Oint) (tptp.c_Nitpick_Ofrac T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint (tptp.tc_fun tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nitpick_Onum T_b) V_q_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Nitpick_Odenom T_b) V_q_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nitpick_Onum T_b) V_r_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Int_Oint tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Nitpick_Odenom T_b) V_r_2)))))) (tptp.c_COMBI tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a3689 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_c) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP V_f_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2)))))))
% 80.53/80.77  (assume a3690 (forall ((V_r $$unsorted) (V_q $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nitpick_Otimes__frac T_a V_q V_r) (tptp.hAPP (tptp.hAPP (tptp.c_Nitpick_Ofrac T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nitpick_Onum T_a) V_q)) (tptp.hAPP (tptp.c_Nitpick_Onum T_a) V_r))) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nitpick_Odenom T_a) V_q)) (tptp.hAPP (tptp.c_Nitpick_Odenom T_a) V_r))))))
% 80.53/80.77  (assume a3691 (forall ((V_q $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Rings_Oinverse T_b) (tptp.class_Rings_Oring__1 T_b)) (= (tptp.c_Nitpick_Oof__frac T_a T_b V_q) (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide T_b) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) (tptp.hAPP (tptp.c_Nitpick_Onum T_a) V_q))) (tptp.hAPP (tptp.c_Int_Oring__1__class_Oof__int T_b) (tptp.hAPP (tptp.c_Nitpick_Odenom T_a) V_q)))))))
% 80.53/80.77  (assume a3692 (forall ((V_q $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nitpick_Oinverse__frac T_a V_q) (tptp.hAPP (tptp.hAPP (tptp.c_Nitpick_Ofrac T_a) (tptp.hAPP (tptp.c_Nitpick_Odenom T_a) V_q)) (tptp.hAPP (tptp.c_Nitpick_Onum T_a) V_q)))))
% 80.53/80.77  (assume a3693 (forall ((V_q $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nitpick_Ouminus__frac T_a V_q) (tptp.c_Nitpick_OAbs__Frac T_a (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nitpick_Onum T_a) V_q))) (tptp.hAPP (tptp.c_Nitpick_Odenom T_a) V_q))))))
% 80.53/80.77  (assume a3694 (forall ((V_r_2 $$unsorted) (V_q_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Oless__frac T_b V_q_2 V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nitpick_Onum T_b) (tptp.c_Nitpick_Oplus__frac T_b V_q_2 (tptp.c_Nitpick_Ouminus__frac T_b V_r_2)))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a3695 (forall ((V_r_2 $$unsorted) (V_q_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Oless__eq__frac T_b V_q_2 V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Nitpick_Onum T_b) (tptp.c_Nitpick_Oplus__frac T_b V_q_2 (tptp.c_Nitpick_Ouminus__frac T_b V_r_2)))) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a3696 (forall ((T_b $$unsorted)) (= (tptp.c_Nitpick_Odenom T_b) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint T_b (tptp.c_Product__Type_Osnd tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.c_Nitpick_ORep__Frac T_b)))))
% 80.53/80.77  (assume a3697 (forall ((T_b $$unsorted)) (= (tptp.c_Nitpick_Onum T_b) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.tc_Int_Oint T_b (tptp.c_Product__Type_Ofst tptp.tc_Int_Oint tptp.tc_Int_Oint)) (tptp.c_Nitpick_ORep__Frac T_b)))))
% 80.53/80.77  (assume a3698 (forall ((T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Ointernal__split T_b T_c T_d) (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d))))
% 80.53/80.77  (assume a3699 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Rings_Olinordered__semidom T_c) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP V_f_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.c_Groups_Ozero__class_Ozero T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2)))))))
% 80.53/80.77  (assume a3700 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ointernal__split T_c T_d T_b) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_a_2) V_b_2)) (tptp.hAPP (tptp.hAPP V_c_2 V_a_2) V_b_2))))
% 80.53/80.77  (assume a3701 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.77  (assume a3702 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.77  (assume a3703 (forall ((V_u_2 $$unsorted) (V_f_2 $$unsorted)) (=> (forall ((B_n $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_n) (tptp.hAPP V_f_2 B_n)))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) V_f_2)) V_u_2)))))))
% 80.53/80.77  (assume a3704 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olenlex T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image (tptp.tc_prod tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist T_b)) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b) tptp.c_Wellfounded_Oless__than (tptp.c_List_Olex T_b V_r_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.tc_prod tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b))) (tptp.tc_List_Olist T_b)) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b))) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) (tptp.c_COMBI (tptp.tc_List_Olist T_b)))))))
% 80.53/80.77  (assume a3705 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (not (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_ys))) (not (= V_xs V_ys)))))
% 80.53/80.77  (assume a3706 (forall ((V_na_2 $$unsorted) (V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.c_List_Olexn T_b V_r_2) V_na_2))) (and (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) V_na_2) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2) V_na_2)))))
% 80.53/80.77  (assume a3707 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olenlex T_b V_r_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fdisj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))))) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))))) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))))) (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))))) (tptp.c_List_Olex T_b V_r_2)))))))))
% 80.53/80.77  (assume a3708 (forall ((V_I_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Osublist T_b V_xs_2 V_I_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member tptp.tc_Nat_Onat)) V_I_2)))))))
% 80.53/80.77  (assume a3709 (forall ((V_na_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Olexn T_b V_r_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_prod (tptp.tc_prod T_b (tptp.tc_List_Olist T_b)) (tptp.tc_prod T_b (tptp.tc_List_Olist T_b))) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_Product__Type_Omap__pair (tptp.tc_prod T_b (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist T_b) (tptp.tc_prod T_b (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)))) (tptp.c_Wellfounded_Olex__prod T_b (tptp.tc_List_Olist T_b) V_r_2 (tptp.hAPP (tptp.c_List_Olexn T_b V_r_2) V_na_2)))) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)))))))))
% 80.53/80.77  (assume a3710 (forall ((V_x $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_ys))) (not (= V_xs (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_ys))))))
% 80.53/80.77  (assume a3711 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (not (= V_xs (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)))))
% 80.53/80.77  (assume a3712 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs) V_xs))))
% 80.53/80.77  (assume a3713 (forall ((V_list_H_2 $$unsorted) (V_a_H_2 $$unsorted) (V_list_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a_2) V_list_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a_H_2) V_list_H_2)) (and (= V_a_2 V_a_H_2) (= V_list_2 V_list_H_2)))))
% 80.53/80.77  (assume a3714 (forall ((V_list $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_a) V_list)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_list)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a3715 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2))) (tptp.c_List_Olex T_b V_r_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2))) (and (= V_x_2 V_y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olex T_b V_r_2))))))))
% 80.53/80.77  (assume a3716 (forall ((V_XS_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oset__Cons T_b V_A_2 V_XS_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx (tptp.tc_List_Olist T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.tc_List_Olist T_b)) (tptp.c_COMBS T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool))) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b))) tptp.c_fequal))) (tptp.c_List_Olist_OCons T_b)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_List_Olist T_b))) V_XS_2)))))))))
% 80.53/80.77  (assume a3717 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_i) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral T_a) V_x))) (= (tptp.hAPP (tptp.c_Random_Opick T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_a)) V_x) V_xs)) V_i) (tptp.hAPP (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral T_a) V_x))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_i) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral T_a) V_x)))) (= (tptp.hAPP (tptp.c_Random_Opick T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_a)) V_x) V_xs)) V_i) (tptp.hAPP (tptp.c_Random_Opick T_a V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_i) (tptp.hAPP (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral T_a) V_x))))))))
% 80.53/80.77  (assume a3718 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Random_Oselect__weight T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral T_b) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) V_x_2)) V_xs_2)) (tptp.c_Random_Oselect__weight T_b V_xs_2))))
% 80.53/80.77  (assume a3719 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_b_2 $$unsorted) (V_x_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_b_2) V_y_2))) (tptp.c_List_Olexord T_b V_r_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (and (= V_a_2 V_b_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_List_Olexord T_b V_r_2))))))))
% 80.53/80.77  (assume a3720 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_List_Olex T_b V_r_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_List_Olexord T_b V_r_2))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_x_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_y_2))))))
% 80.53/80.77  (assume a3721 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2))))))))
% 80.53/80.77  (assume a3722 (forall ((V_list_2 $$unsorted) (V_a_2 $$unsorted) (V_fa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist_Olist__size T_b V_fa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a_2) V_list_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP V_fa_2 V_a_2)) (tptp.c_List_Olist_Olist__size T_b V_fa_2 V_list_2))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a3723 (forall ((V_xs_2 $$unsorted) (V_r_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Wellfounded_Oacc T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_Wellfounded_Oacc (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_Wellfounded_Oacc (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2))))))))
% 80.53/80.77  (assume a3724 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.c_List_Olistrel1 T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2))))))
% 80.53/80.77  (assume a3725 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olistrel1 T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.hAPP (tptp.c_Relation_Oconverse (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olistrel1 T_b V_r_2)))))
% 80.53/80.77  (assume a3726 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.c_List_Olistrel1 T_b V_r_2)) (tptp.c_List_Olistrel1 T_b V_s_2))))))
% 80.53/80.77  (assume a3727 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_ys_2))) (tptp.c_List_Olistrel1 T_b V_r_2))))))
% 80.53/80.77  (assume a3728 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_ys_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))))))
% 80.53/80.77  (assume a3729 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2)))))
% 80.53/80.77  (assume a3730 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_x_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_y_2)))))
% 80.53/80.77  (assume a3731 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_List_Olistrel1 T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_Relation_Oconverse (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olistrel1 T_b V_r_2)))))))
% 80.53/80.77  (assume a3732 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2))) (tptp.c_List_Olistrel1 T_b V_r_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (= V_xs_2 V_ys_2)) (and (= V_x_2 V_y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))))))))
% 80.53/80.77  (assume a3733 (forall ((V_xs_2 $$unsorted) (V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_xs_2))) (tptp.c_List_Olistrel1 T_b V_r_2))))))
% 80.53/80.77  (assume a3734 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)))) (tptp.c_List_Oset__Cons T_b (tptp.hAPP (tptp.c_Relation_OImage T_b T_b V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3735 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_a) B_b)) V_r_2)) (= B_a B_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_b) B_a)) V_r_2)))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_List_Olexord T_b V_r_2))) (= V_x_2 V_y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_y_2) V_x_2)) (tptp.c_List_Olexord T_b V_r_2)))))))
% 80.53/80.77  (assume a3736 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_xs_2)) (tptp.c_List_Olistrel T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))
% 80.53/80.77  (assume a3737 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.c_List_Olistrel T_b V_r_2)) (tptp.c_List_Olistrel T_b V_s_2))))))
% 80.53/80.77  (assume a3738 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.c_List_Olistrel T_b V_r_2)) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2))))))
% 80.53/80.77  (assume a3739 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel T_b V_r_2))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2)))))
% 80.53/80.77  (assume a3740 (forall ((V_zs_2 $$unsorted) (V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_ys_2) V_zs_2)) (tptp.c_List_Olistrel T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_zs_2)) (tptp.c_List_Olistrel T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))))))
% 80.53/80.77  (assume a3741 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olistrel T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))))
% 80.53/80.77  (assume a3742 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))))
% 80.53/80.77  (assume a3743 (forall ((V_r_H_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_r_H_2)) (=> (tptp.c_Relation_Orefl__on T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_r_H_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.c_List_Olistrel1 T_b V_r_2)) (tptp.c_List_Olistrel T_b V_r_H_2)))))))
% 80.53/80.77  (assume a3744 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))))))
% 80.53/80.77  (assume a3745 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2))) (tptp.c_List_Olistrel T_b V_r_2)))))))
% 80.53/80.77  (assume a3746 (forall ((V_xa_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olistrelp T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b)))) (tptp.c_Product__Type_OPair T_b T_b)))) V_r_2) V_x_2 V_xa_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_xa_2)) (tptp.c_List_Olistrel T_b V_r_2))))))
% 80.53/80.77  (assume a3747 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (V_ys_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2)) V_xs_2)) (tptp.c_List_Olistrel T_b V_r_2))) (not (forall ((B_y $$unsorted) (B_ys $$unsorted)) (=> (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_y) B_ys)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_y_2) B_y)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_ys_2) B_ys)) (tptp.c_List_Olistrel T_b V_r_2)))))))))))
% 80.53/80.77  (assume a3748 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_x_2) V_y_2)) (=> (tptp.c_List_Olistrelp T_b V_r_2 V_xs_2 V_ys_2) (tptp.c_List_Olistrelp T_b V_r_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2))))))
% 80.53/80.77  (assume a3749 (forall ((V_a4_2 $$unsorted) (V_a2_2 $$unsorted) (V_a3_2 $$unsorted) (V_a1_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olistrelp T_b V_r_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a1_2) V_a3_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a2_2) V_a4_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a1_2) V_a2_2)) (tptp.c_List_Olistrelp T_b V_r_2 V_a3_2 V_a4_2)))))
% 80.53/80.77  (assume a3750 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2))) (tptp.c_List_Olistrel T_b V_r_2))) (not (forall ((B_x $$unsorted) (B_xs $$unsorted)) (=> (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_x) B_xs)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) V_y_2)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) B_xs) V_ys_2)) (tptp.c_List_Olistrel T_b V_r_2)))))))))))
% 80.53/80.77  (assume a3751 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_b) V_A_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) V_A_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) tptp.tc_HOL_Obool)) (tptp.c_List_Olistrel T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olists T_b V_A_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olists T_b V_A_2))))))))
% 80.53/80.77  (assume a3752 (forall ((T_b $$unsorted)) (= (tptp.c_List_Olists T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3753 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.c_List_Olists T_b V_A_2)) (tptp.c_List_Olists T_b V_B_2))))))
% 80.53/80.77  (assume a3754 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (tptp.c_Equiv__Relations_Oequiv (tptp.tc_List_Olist T_b) (tptp.c_List_Olists T_b V_A_2) (tptp.c_List_Olistrel T_b V_r_2)))))
% 80.53/80.77  (assume a3755 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (tptp.c_Relation_Orefl__on (tptp.tc_List_Olist T_b) (tptp.c_List_Olists T_b V_A_2) (tptp.c_List_Olistrel T_b V_r_2)))))
% 80.53/80.77  (assume a3756 (forall ((V_A_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_List_Olists T_b V_A_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olists T_b V_A_2)))))))
% 80.53/80.77  (assume a3757 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olists T_b (tptp.c_Wellfounded_Oacc T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_Wellfounded_Oacc (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))))))
% 80.53/80.77  (assume a3758 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_Wellfounded_Oacc (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel1 T_b V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olists T_b (tptp.c_Wellfounded_Oacc T_b V_r_2)))))))
% 80.53/80.77  (assume a3759 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel T_b V_r_2))) (and (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2)) (forall ((B_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_ys_2) B_n))) V_r_2))))))))
% 80.53/80.77  (assume a3760 (forall ((V_y_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_x)) V_r_2)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_y_2) V_y_2)) (tptp.c_List_Olexord T_b V_r_2)))))))
% 80.53/80.77  (assume a3761 (forall ((T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3762 (forall ((T_b $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted)) (= (= V_xs_2 V_ys_2) (and (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2)) (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_ys_2) B_i))))))))
% 80.53/80.77  (assume a3763 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_x)))
% 80.53/80.77  (assume a3764 (forall ((V_n $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_n))))
% 80.53/80.77  (assume a3765 (forall ((V_na_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) V_na_2) (tptp.c_Nat_Onat_Onat__case T_b V_x_2 (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_na_2))))
% 80.53/80.77  (assume a3766 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (and (=> (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_n) V_x)) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))))
% 80.53/80.77  (assume a3767 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_v $$unsorted)) (and (=> (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) V_x)) (=> (not (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))))
% 80.53/80.77  (assume a3768 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_List_Olexord T_b V_r_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_x_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_y_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_x_2)) V_y_2) V_x_2)) (exists ((B_i $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_x_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_y_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) B_i) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) B_i) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_x_2) B_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_y_2) B_i))) V_r_2))))))))
% 80.53/80.77  (assume a3769 (forall ((V_I_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Osublist T_b V_xs_2 V_I_2)) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun tptp.tc_Nat_Onat T_b) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat T_b) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member tptp.tc_Nat_Onat)) V_I_2))))))))
% 80.53/80.77  (assume a3770 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a3771 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))))))
% 80.53/80.77  (assume a3772 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs) V_xs))))
% 80.53/80.77  (assume a3773 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_m_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) V_xs_2)))))))
% 80.53/80.77  (assume a3774 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a3775 (forall ((V_I_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Osublist T_b V_xs_2 V_I_2))) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a3776 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)))))
% 80.53/80.77  (assume a3777 (forall ((V_I_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Osublist T_b V_xs_2 V_I_2))))))))
% 80.53/80.77  (assume a3778 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3779 (forall ((V_I_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Osublist T_b V_xs_2 V_I_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3780 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)))) (or (= V_y_2 V_x_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))))
% 80.53/80.77  (assume a3781 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)))))
% 80.53/80.77  (assume a3782 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_n))))
% 80.53/80.77  (assume a3783 (forall ((V_xs $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_m) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_n) V_m)) V_xs))))
% 80.53/80.77  (assume a3784 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a3785 (forall ((V_na_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Osublist T_b V_l_2 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) V_l_2))))
% 80.53/80.77  (assume a3786 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))
% 80.53/80.77  (assume a3787 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i))))))))
% 80.53/80.77  (assume a3788 (forall ((V_f_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_y_2) (tptp.hAPP V_f_2 V_x_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_y_2) (tptp.c_List_Olist_Olist__size T_b V_f_2 V_xs_2)))))))
% 80.53/80.77  (assume a3789 (forall ((V_f_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_y_2) (tptp.hAPP V_f_2 V_x_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_y_2) (tptp.c_List_Olist_Olist__size T_b V_f_2 V_xs_2)))))))
% 80.53/80.77  (assume a3790 (forall ((V_A_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olists T_b V_A_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)))))))
% 80.53/80.77  (assume a3791 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))))))
% 80.53/80.77  (assume a3792 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (exists ((B_i $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i) V_x_2))))))
% 80.53/80.77  (assume a3793 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_na_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3794 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olists T_b V_A_2) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_List_Oset T_b))) V_A_2)))))
% 80.53/80.77  (assume a3795 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun tptp.tc_Nat_Onat T_b) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat T_b) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))))))))
% 80.53/80.77  (assume a3796 (forall ((V_na_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_List_Oset T_b))) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) V_na_2))))))))
% 80.53/80.77  (assume a3797 (forall ((V_na_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_List_Oset T_b))) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) V_na_2))))))))
% 80.53/80.77  (assume a3798 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel T_b V_r_2))) (and (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_b) V_xs_2) V_ys_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_b T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.c_member (tptp.tc_prod T_b T_b)))) (tptp.c_Product__Type_OPair T_b T_b)))) V_r_2)) B_x))))))))
% 80.53/80.77  (assume a3799 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_prod T_b T_c)) (tptp.c_HOL_OEx tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_prod T_b T_c) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.tc_prod T_b T_c)) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_prod T_b T_c) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_prod T_b T_c)) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_prod T_b T_c)) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.tc_prod T_b T_c)) (tptp.c_COMBB (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool tptp.tc_Nat_Onat)) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat T_c (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) tptp.tc_Nat_Onat) (tptp.c_Product__Type_OPair T_b T_c)) (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2))) (tptp.hAPP (tptp.c_List_Onth T_c) V_ys_2)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)))))))))
% 80.53/80.77  (assume a3800 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake (tptp.tc_prod T_a T_b)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_n) V_ys)))))
% 80.53/80.77  (assume a3801 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys)))))
% 80.53/80.77  (assume a3802 (forall ((V_ys $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys)))))
% 80.53/80.77  (assume a3803 (forall ((T_b $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted)) (= (= V_xs_2 V_ys_2) (and (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_b) V_xs_2) V_ys_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) B_x))))))))
% 80.53/80.77  (assume a3804 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_y_2) (tptp.hAPP (tptp.c_List_Oset T_c) V_ys_2)))))))))
% 80.53/80.77  (assume a3805 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_y_2) (tptp.hAPP (tptp.c_List_Oset T_c) V_ys_2))))))
% 80.53/80.77  (assume a3806 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3807 (forall ((V_xs_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_b) V_xs_2) V_xs_2)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= V_a_2 V_b_2)))))
% 80.53/80.77  (assume a3808 (forall ((V_ys $$unsorted) (T_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys)) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_ys) V_i)))))))
% 80.53/80.77  (assume a3809 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Int_Oint V_i_2 V_j_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_j_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))
% 80.53/80.77  (assume a3810 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))))
% 80.53/80.77  (assume a3811 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) (tptp.c_List_Oupto V_i_2 V_j_2)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_i_2 V_j_2))))
% 80.53/80.77  (assume a3812 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_i_2 V_j_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) (tptp.c_List_Oupto V_i_2 V_j_2)))))
% 80.53/80.77  (assume a3813 (forall ((V_ns_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat) V_ns_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) V_ns_2))) (= B_x (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.77  (assume a3814 (forall ((V_ns $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist tptp.tc_Nat_Onat)) V_ns))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth tptp.tc_Nat_Onat) V_ns) V_k)) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat) V_ns))))))
% 80.53/80.77  (assume a3815 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_a) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) V_xs))))))
% 80.53/80.77  (assume a3816 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Int_Oint V_i_2) V_j_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) (tptp.c_List_Oupto V_i_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_j_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))
% 80.53/80.77  (assume a3817 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Int_Oint V_i_2 V_j_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_j_2)))))
% 80.53/80.77  (assume a3818 (forall ((V_l_2 $$unsorted)) (= (tptp.c_List_Onat__list V_l_2) (tptp.c_Nat__Transfer_Onat__set (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) V_l_2)))))
% 80.53/80.77  (assume a3819 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_g_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.c_List_Olist_Olist__size T_b V_f_2 V_xs_2)) (tptp.c_List_Olist_Olist__size T_b V_g_2 V_xs_2))))))
% 80.53/80.77  (assume a3820 (forall ((V_n $$unsorted) (V_ns $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist tptp.tc_Nat_Onat)) V_ns))) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update tptp.tc_Nat_Onat V_ns) V_k) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat) V_ns)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth tptp.tc_Nat_Onat) V_ns) V_k))))))
% 80.53/80.77  (assume a3821 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_xs)))))
% 80.53/80.77  (assume a3822 (forall ((V_x $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_i)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x) V_xs))))
% 80.53/80.77  (assume a3823 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (not (= V_i V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) V_j) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_j)))))
% 80.53/80.77  (assume a3824 (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)) V_xs)))
% 80.53/80.77  (assume a3825 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (and (=> (= V_k (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_k) V_x)) (tptp.c_List_Obutlast T_a V_xs))) (=> (not (= V_k (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_k) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.c_List_Obutlast T_a V_xs)) V_k) V_x))))))
% 80.53/80.77  (assume a3826 (forall ((V_x $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))))
% 80.53/80.77  (assume a3827 (forall ((V_y $$unsorted) (V_ys $$unsorted) (V_x $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_ys) V_i) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update (tptp.tc_prod T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys)) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x) V_y)))))
% 80.53/80.77  (assume a3828 (forall ((V_xy $$unsorted) (V_i $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update (tptp.tc_prod T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys)) V_i) V_xy) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) (tptp.hAPP (tptp.c_Product__Type_Ofst T_a T_b) V_xy))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_ys) V_i) (tptp.hAPP (tptp.c_Product__Type_Osnd T_a T_b) V_xy))))))
% 80.53/80.77  (assume a3829 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) V_i) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_y))))
% 80.53/80.77  (assume a3830 (forall ((V_x_H $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_i_H $$unsorted) (V_i $$unsorted)) (=> (not (= V_i V_i_H)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) V_i_H) V_x_H) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i_H) V_x_H)) V_i) V_x)))))
% 80.53/80.77  (assume a3831 (forall ((V_v_2 $$unsorted) (V_i_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) V_i_2) V_v_2) (tptp.c_Nat_Onat_Onat__case (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_v_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat T_b (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist__update T_b V_xs_2)) V_v_2)) V_i_2))))
% 80.53/80.77  (assume a3832 (forall ((V_y $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_xs))))
% 80.53/80.77  (assume a3833 (forall ((V_y $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP tptp.c_Nat_OSuc V_i)) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_y)))))
% 80.53/80.77  (assume a3834 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Obutlast T_b V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3835 (forall ((V_i_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_i_2) V_x_2))) V_A_2))))))
% 80.53/80.77  (assume a3836 (forall ((V_x_2 $$unsorted) (V_i_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_i_2) V_x_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3837 (forall ((V_x $$unsorted) (V_j $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (and (=> (= V_i V_j) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) V_j) V_x)) (=> (not (= V_i V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) V_j) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_j)))))))
% 80.53/80.77  (assume a3838 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_i_2) V_x_2) V_xs_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_i_2) V_x_2)))))
% 80.53/80.77  (assume a3839 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) V_i) V_x))))
% 80.53/80.77  (assume a3840 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.c_List_Obutlast T_a V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)))))
% 80.53/80.77  (assume a3841 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.c_List_Obutlast T_a V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))
% 80.53/80.77  (assume a3842 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_na_2) V_x_2)))))))
% 80.53/80.77  (assume a3843 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast T_a V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_xs))))
% 80.53/80.77  (assume a3844 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))) (exists ((B_y $$unsorted) (B_n $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_n)) B_y)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) B_n) B_y)))))))
% 80.53/80.77  (assume a3845 (forall ((V_i_2 $$unsorted) (V_a_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_i_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_i_2) V_a_2)))))))
% 80.53/80.77  (assume a3846 (forall ((V_j $$unsorted) (V_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Int_Oint) (tptp.c_List_Oupto V_i V_j)))))
% 80.53/80.77  (assume a3847 (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_i) V_xs))))))
% 80.53/80.77  (assume a3848 (forall ((V_I_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.c_List_Osublist T_b V_xs_2 V_I_2))))))
% 80.53/80.77  (assume a3849 (forall ((V_ys $$unsorted) (T_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys))))))
% 80.53/80.77  (assume a3850 (forall ((V_xs $$unsorted) (T_b $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_ys)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod T_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_a) V_xs) V_ys))))))
% 80.53/80.77  (assume a3851 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (and (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2))))))
% 80.53/80.77  (assume a3852 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)))))
% 80.53/80.77  (assume a3853 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))
% 80.53/80.77  (assume a3854 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (forall ((B_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_j) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (=> (not (= B_i B_j)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_j)))))))))))
% 80.53/80.77  (assume a3855 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_i_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_j_2)) (= V_i_2 V_j_2)))))))
% 80.53/80.77  (assume a3856 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_b) (tptp.c_COMBI T_b)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))))
% 80.53/80.77  (assume a3857 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Nitpick_Ocard_H T_b V_A_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_Hilbert__Choice_OEps (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_List_Oset T_b))) V_A_2))) (tptp.c_List_Odistinct T_b)))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.c_Nitpick_Ocard_H T_b V_A_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a3858 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_ys))) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) V_k)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) B_i) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_ys) B_i)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_k) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_k) V_ys)))))))
% 80.53/80.77  (assume a3859 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.77  (assume a3860 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_v $$unsorted)) (and (=> (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.c_List_Olist_ONil T_a))) (=> (not (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_xs)))))))
% 80.53/80.77  (assume a3861 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olists T_b V_A_2)))))
% 80.53/80.77  (assume a3862 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olist_ONil T_b))) (tptp.c_List_Olistrel T_b V_r_2))) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3863 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) V_xs_2)) (tptp.c_List_Olistrel T_b V_r_2))) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3864 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.c_List_Obutlast T_a V_xs)))))))
% 80.53/80.77  (assume a3865 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.c_List_Oremove1 T_a V_x V_xs))))))
% 80.53/80.77  (assume a3866 (forall ((T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.c_List_Olist_ONil T_a)))))
% 80.53/80.77  (assume a3867 (forall ((T_a $$unsorted)) (= (tptp.c_List_Obutlast T_a (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a3868 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (and (=> (= V_xs (tptp.c_List_Olist_ONil T_a)) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.c_List_Olist_ONil T_a))) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Obutlast T_a V_xs)))))))
% 80.53/80.77  (assume a3869 (forall ((V_list_H $$unsorted) (V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_a_H) V_list_H)))))
% 80.53/80.77  (assume a3870 (forall ((V_list_H $$unsorted) (V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_a_H) V_list_H) (tptp.c_List_Olist_ONil T_a)))))
% 80.53/80.77  (assume a3871 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (and (=> (= V_x V_y) (= (tptp.c_List_Oremove1 T_a V_x (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_xs)) V_xs)) (=> (not (= V_x V_y)) (= (tptp.c_List_Oremove1 T_a V_x (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) (tptp.c_List_Oremove1 T_a V_x V_xs)))))))
% 80.53/80.77  (assume a3872 (forall ((V_i $$unsorted) (V_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_j) V_i)) (= (tptp.c_List_Oupto V_i V_j) (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)))))
% 80.53/80.77  (assume a3873 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) V_xs_2) (tptp.c_List_Olist_ONil T_b)) (or (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a3874 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_xs) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a3875 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a3876 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Osublist T_b (tptp.c_List_Olist_ONil T_b) V_A_2) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.77  (assume a3877 (forall ((V_zs $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremove1 T_a V_x (tptp.c_List_Oremove1 T_a V_y V_zs)) (tptp.c_List_Oremove1 T_a V_y (tptp.c_List_Oremove1 T_a V_x V_zs)))))
% 80.53/80.77  (assume a3878 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremove1 T_a V_x (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a3879 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_List_Olistrelp T_b V_r_2 (tptp.c_List_Olist_ONil T_b) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.77  (assume a3880 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_List_Olistrelp T_b V_r_2 (tptp.c_List_Olist_ONil T_b) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.77  (assume a3881 (forall ((V_ys $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.c_List_Olist_ONil T_a)) V_ys) (tptp.c_List_Olist_ONil (tptp.tc_prod T_a T_b)))))
% 80.53/80.77  (assume a3882 (forall ((V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olist_ONil (tptp.tc_prod T_a T_b)))))
% 80.53/80.77  (assume a3883 (forall ((T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_a) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.c_Groups_Ozero__class_Ozero T_a)))))
% 80.53/80.77  (assume a3884 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3885 (forall ((T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.c_List_Olist_ONil T_a)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.77  (assume a3886 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3887 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3888 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Olist_ONil T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.77  (assume a3889 (forall ((V_y $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.c_List_Olist_ONil T_a)) V_i) V_y) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a3890 (forall ((V_v $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.c_List_Olist_ONil T_a)) V_i) V_v) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a3891 (forall ((V_x_2 $$unsorted) (V_k_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_k_2) V_x_2) (tptp.c_List_Olist_ONil T_b)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3892 (forall ((V_fa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist_Olist__size T_b V_fa_2 (tptp.c_List_Olist_ONil T_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.77  (assume a3893 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2) V_xs_2))))
% 80.53/80.77  (assume a3894 (forall ((V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oremove1 T_b V_y_2 V_xs_2))))))))
% 80.53/80.77  (assume a3895 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (not (= V_a_2 V_b_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oremove1 T_b V_b_2 V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))))
% 80.53/80.77  (assume a3896 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Osublist T_b V_xs_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.77  (assume a3897 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2))) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a3898 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a3899 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Olist_ONil T_a)))))
% 80.53/80.77  (assume a3900 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olist_ONil T_b))) (tptp.c_List_Olistrel1 T_b V_r_2))))))
% 80.53/80.77  (assume a3901 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) V_xs_2)) (tptp.c_List_Olistrel1 T_b V_r_2))))))
% 80.53/80.77  (assume a3902 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olist_ONil T_b))) (tptp.c_List_Olistrel T_b V_r_2)))))
% 80.53/80.77  (assume a3903 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) (tptp.c_List_Olist_ONil T_b))) (tptp.c_List_Olexord T_b V_r_2))))))
% 80.53/80.77  (assume a3904 (forall ((V_r_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olist_ONil T_b))) (tptp.c_List_Olex T_b V_r_2))))))
% 80.53/80.77  (assume a3905 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) V_ys_2)) (tptp.c_List_Olex T_b V_r_2))))))
% 80.53/80.77  (assume a3906 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_Nat_Onat_Onat__case (tptp.tc_List_Olist T_b) (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Otake T_b)) V_xs_2)) V_na_2))))
% 80.53/80.77  (assume a3907 (forall ((V_j $$unsorted) (V_i $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i) V_j)) (= (tptp.c_List_Oupto V_i V_j) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Int_Oint) V_i) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_j)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i) V_j))) (= (tptp.c_List_Oupto V_i V_j) (tptp.c_List_Olist_ONil tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a3908 (forall ((V_x_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_A_2)) (= (tptp.c_List_Osublist T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_A_2))) (= (tptp.c_List_Osublist T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b)) V_A_2) (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a3909 (forall ((T_b $$unsorted)) (= (tptp.c_List_Olists T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3910 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (and (=> (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.c_List_Olist_ONil T_a))) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_xs)))))))
% 80.53/80.77  (assume a3911 (forall ((V_n $$unsorted) (V_m $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_n))) (= (tptp.c_List_Oupto (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_m) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_m)) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_m)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_n))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_n)))) (= (tptp.c_List_Oupto (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_m) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint) V_n)) (tptp.c_List_Olist_ONil tptp.tc_Int_Oint))))))
% 80.53/80.77  (assume a3912 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel T_b V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3913 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oset__Cons T_b V_A_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_Set_Oimage T_b (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)) (tptp.c_List_Olist_ONil T_b))) V_A_2))))
% 80.53/80.77  (assume a3914 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))))))
% 80.53/80.77  (assume a3915 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_List_Oupto__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_i_2) V_j_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i_2) V_j_2)) (= (tptp.c_List_Oupto V_i_2 V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Int_Oint) V_i_2) (tptp.c_List_Oupto (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) V_j_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_i_2) V_j_2))) (= (tptp.c_List_Oupto V_i_2 V_j_2) (tptp.c_List_Olist_ONil tptp.tc_Int_Oint)))))))
% 80.53/80.77  (assume a3916 (forall ((V_s_2 $$unsorted) (T_b $$unsorted) (V_xs_2 $$unsorted)) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Product__Type_Ofst T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.hAPP (tptp.c_Random_Oselect T_b V_xs_2) V_s_2))) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3917 (forall ((T_b $$unsorted)) (= (tptp.c_List_Olistset T_b (tptp.c_List_Olist_ONil (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a3918 (forall ((V_ys_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_y_2) V_ys_2)) (tptp.hAPP (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) T_b (tptp.c_List_Olist_ONil (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)))) T_b) (tptp.c_COMBB (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) T_b) (tptp.c_List_Olist_OCons (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c (tptp.tc_prod T_b T_c)) (tptp.c_Product__Type_OPair T_b T_c)) V_y_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) (tptp.c_List_Ozip T_b T_c)) V_ys_2))) V_xs_2))))
% 80.53/80.77  (assume a3919 (forall ((V_list_2 $$unsorted) (V_a_2 $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Olist_Olist__case T_b T_c V_f1_2 V_f2_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_a_2) V_list_2)) (tptp.hAPP (tptp.hAPP V_f2_2 V_a_2) V_list_2))))
% 80.53/80.77  (assume a3920 (forall ((V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Olist_Olist__case T_b T_c V_f1_2 V_f2_2) (tptp.c_List_Olist_ONil T_c)) V_f1_2)))
% 80.53/80.77  (assume a3921 (forall ((V_As_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olistset T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_As_2)) (tptp.c_List_Oset__Cons T_b V_A_2 (tptp.c_List_Olistset T_b V_As_2)))))
% 80.53/80.77  (assume a3922 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) V_ys_2) (tptp.hAPP (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) T_c (tptp.c_List_Olist_ONil (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) (tptp.tc_fun (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) (tptp.tc_fun (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)))) T_c) (tptp.c_COMBB (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_List_Olist (tptp.tc_prod T_b T_c)) (tptp.tc_List_Olist (tptp.tc_prod T_b T_c))) T_c) (tptp.c_List_Olist_OCons (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2)))) (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2))) V_ys_2))))
% 80.53/80.77  (assume a3923 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.c_List_Oremove1 T_b V_x_2 (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b V_A_2)))))))
% 80.53/80.77  (assume a3924 (forall ((V_Pa_2 $$unsorted) (V_a1_2 $$unsorted) (V_a0_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_List_Oupto__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a0_2) V_a1_2))) (=> (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_List_Oupto__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) B_i) B_j))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) B_i) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) B_j))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_i) B_j))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_a0_2) V_a1_2))))))
% 80.53/80.77  (assume a3925 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3926 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_k_2 $$unsorted)) (and (=> (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lazy__Sequence_Oanamorph T_c T_b V_f_2) V_k_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) T_c) (tptp.c_List_Olist_ONil T_b)) V_x_2))) (=> (not (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lazy__Sequence_Oanamorph T_c T_b V_f_2) V_k_2) V_x_2) (tptp.c_Option_Ooption_Ooption__case (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c) (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) T_c) (tptp.c_List_Olist_ONil T_b)) V_x_2) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c)) (tptp.tc_fun T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c) (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c)) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c)) (tptp.tc_fun T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c))) T_b) (tptp.c_COMBB (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c) (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c) T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c))) (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c) (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c)) T_b) (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_List_Olist T_b) T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_fun T_c (tptp.tc_prod (tptp.tc_List_Olist T_b) T_c)) (tptp.tc_List_Olist T_b)) (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) T_c))) (tptp.c_List_Olist_OCons T_b))))) (tptp.hAPP (tptp.c_Lazy__Sequence_Oanamorph T_c T_b V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_k_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))))) (tptp.hAPP V_f_2 V_x_2)))))))
% 80.53/80.77  (assume a3927 (forall ((V_A_2 $$unsorted) (V_l_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Osublist T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_l_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b))) (tptp.c_List_Olist_ONil T_b))) (tptp.c_List_Osublist T_b V_l_2 (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.c_member tptp.tc_Nat_Onat)) tptp.c_Nat_OSuc)) V_A_2)))))))
% 80.53/80.77  (assume a3928 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_zs_2 $$unsorted) (V_ys_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys_2) V_zs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (or (and (= V_ys_2 (tptp.c_List_Olist_ONil T_b)) (= V_zs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (exists ((B_ys_H $$unsorted)) (and (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) B_ys_H)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_ys_H) V_zs_2) V_xs_2)))))))
% 80.53/80.77  (assume a3929 (forall ((V_zs_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys_2) V_zs_2)) (or (and (= V_ys_2 (tptp.c_List_Olist_ONil T_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2) V_zs_2)) (exists ((B_ys_H $$unsorted)) (and (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) B_ys_H) V_ys_2) (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_ys_H) V_zs_2))))))))
% 80.53/80.77  (assume a3930 (forall ((V_y_2 $$unsorted) (V_ys_2 $$unsorted) (V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) (tptp.c_List_Olist_ONil T_b)))) (and (= V_xs_2 V_ys_2) (= V_x_2 V_y_2)))))
% 80.53/80.77  (assume a3931 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_ys) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)))))
% 80.53/80.77  (assume a3932 (forall ((V_zs $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_xs1 $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs1) V_ys) (=> (= V_xs (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs1) V_zs)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_ys) V_zs))))))
% 80.53/80.77  (assume a3933 (forall ((V_A_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.c_List_Olists T_b V_A_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Olists T_b V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_ys_2) (tptp.c_List_Olists T_b V_A_2)))))))
% 80.53/80.77  (assume a3934 (forall ((V_us $$unsorted) (V_ys $$unsorted) (V_zs $$unsorted) (V_xs1 $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_xs1) V_zs) (=> (= V_ys (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs1) V_us)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_zs) V_us))))))
% 80.53/80.77  (assume a3935 (forall ((V_zs_2 $$unsorted) (V_xs_2 $$unsorted) (V_ys_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_zs_2) V_xs_2)) (= V_ys_2 V_zs_2))))
% 80.53/80.77  (assume a3936 (forall ((V_zs_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_zs_2)) (= V_ys_2 V_zs_2))))
% 80.53/80.77  (assume a3937 (forall ((V_ts_2 $$unsorted) (V_zs_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_zs_2) V_ts_2)) (exists ((B_us $$unsorted)) (or (and (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_zs_2) B_us)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_us) V_ys_2) V_ts_2)) (and (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) B_us) V_zs_2) (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_us) V_ts_2))))))))
% 80.53/80.77  (assume a3938 (forall ((V_zs $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) V_zs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_ys) V_zs)))))
% 80.53/80.77  (assume a3939 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_a) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) V_xs)) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) V_ys))))))
% 80.53/80.77  (assume a3940 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_ys)))))
% 80.53/80.77  (assume a3941 (forall ((V_vs $$unsorted) (V_ys $$unsorted) (V_us $$unsorted) (T_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_us)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_ys) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_vs)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_us) V_vs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_us)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_ys) V_vs)))))))
% 80.53/80.77  (assume a3942 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_ys_2)))))
% 80.53/80.77  (assume a3943 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Olist_ONil T_a)) V_ys) V_ys)))
% 80.53/80.77  (assume a3944 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (and (= V_xs_2 (tptp.c_List_Olist_ONil T_b)) (= V_ys_2 (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a3945 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.c_List_Olist_ONil T_a)) V_xs)))
% 80.53/80.77  (assume a3946 (forall ((V_ys_2 $$unsorted) (T_b $$unsorted) (V_xs_2 $$unsorted)) (= (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (= V_ys_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3947 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_ys_2 $$unsorted)) (= (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3948 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2) (tptp.c_List_Olist_ONil T_b)) (and (= V_xs_2 (tptp.c_List_Olist_ONil T_b)) (= V_ys_2 (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a3949 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2) V_xs_2) (= V_ys_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3950 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2) V_ys_2) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3951 (forall ((T_a $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted)) (=> (= V_xs V_ys) (= V_xs (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Olist_ONil T_a)) V_ys)))))
% 80.53/80.77  (assume a3952 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (and (=> (= V_ys (tptp.c_List_Olist_ONil T_a)) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.c_List_Obutlast T_a V_xs))) (=> (not (= V_ys (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.c_List_Obutlast T_a V_ys)))))))
% 80.53/80.77  (assume a3953 (forall ((V_ys $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_ys))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_x)))
% 80.53/80.77  (assume a3954 (forall ((V_n $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_ys) V_n))))
% 80.53/80.77  (assume a3955 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) V_ys)))))
% 80.53/80.77  (assume a3956 (forall ((V_x $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) V_i) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_x)) V_ys)))))
% 80.53/80.77  (assume a3957 (forall ((V_y $$unsorted) (V_ys $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_ys))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_ys)))))
% 80.53/80.77  (assume a3958 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.c_List_Oremove1 T_b V_x_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2)) V_ys_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.c_List_Oremove1 T_b V_x_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) (tptp.c_List_Oremove1 T_b V_x_2 V_ys_2)))))))
% 80.53/80.77  (assume a3959 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Obutlast T_b V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Obutlast T_b V_ys_2))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Obutlast T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2))))))))
% 80.53/80.77  (assume a3960 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Olist_ONil T_a)))) V_xs)))
% 80.53/80.77  (assume a3961 (forall ((V_vs_2 $$unsorted) (V_us_2 $$unsorted) (V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))) (= V_us_2 V_vs_2)) (and (= V_xs_2 V_ys_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_us_2) V_vs_2)) (tptp.c_List_Olistrel1 T_b V_r_2))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_us_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys_2) V_vs_2))) (tptp.c_List_Olistrel1 T_b V_r_2))))))
% 80.53/80.77  (assume a3962 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_v_2 $$unsorted) (V_u_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_u_2) V_v_2)) (tptp.c_List_Olexord T_b V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_x_2) V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_x_2) V_v_2))) (tptp.c_List_Olexord T_b V_r_2))))))
% 80.53/80.77  (assume a3963 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_ys_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_ys_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a3964 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_n))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_ys) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))))))))
% 80.53/80.77  (assume a3965 (forall ((V_x $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) V_n) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_n) V_x)) V_ys))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) V_n) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_ys) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) V_x)))))))
% 80.53/80.77  (assume a3966 (forall ((V_A_2 $$unsorted) (V_l_H_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Osublist T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_l_2) V_l_H_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.c_List_Osublist T_b V_l_2 V_A_2)) (tptp.c_List_Osublist T_b V_l_H_2 (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.c_member tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_l_2)))) V_A_2)))))))
% 80.53/80.77  (assume a3967 (forall ((V_ys_2 $$unsorted) (V_vs_2 $$unsorted) (V_us_2 $$unsorted) (V_xs_2 $$unsorted) (V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)) (=> (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_us_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_vs_2))) (=> (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_us_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_vs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))))))))
% 80.53/80.77  (assume a3968 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_u_2 $$unsorted) (V_r_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_u_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a_2) V_x_2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_u_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_b_2) V_y_2)))) (tptp.c_List_Olexord T_b V_r_2))))))
% 80.53/80.77  (assume a3969 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP tptp.c_Nat_OSuc V_i)) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_i) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)) (tptp.c_List_Olist_ONil T_a)))))))
% 80.53/80.77  (assume a3970 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_ys_2 $$unsorted) (V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) (tptp.c_List_Olist_ONil T_b))))) (tptp.c_List_Olistrel1 T_b V_r_2))) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))) (= V_x_2 V_y_2)) (and (= V_xs_2 V_ys_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) V_r_2)))))))
% 80.53/80.77  (assume a3971 (forall ((V_r_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)) (tptp.c_List_Olistrel1 T_b V_r_2))) (not (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_y)) V_r_2)) (forall ((B_us $$unsorted) (B_vs $$unsorted)) (=> (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_us) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_x) B_vs))) (not (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_us) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_y) B_vs))))))))))))
% 80.53/80.77  (assume a3972 (forall ((V_r_2 $$unsorted) (V_v_2 $$unsorted) (V_u_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_x_2) V_u_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_x_2) V_v_2))) (tptp.c_List_Olexord T_b V_r_2))) (=> (forall ((B_a $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_a) B_a)) V_r_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_u_2) V_v_2)) (tptp.c_List_Olexord T_b V_r_2)))))))
% 80.53/80.77  (assume a3973 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate1 T_b) V_xs_2) (tptp.hAPP (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist T_b) T_b (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) T_b) (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Oappend T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)) (tptp.c_List_Olist_ONil T_b)))) V_xs_2))))
% 80.53/80.77  (assume a3974 (forall ((V_a $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_i) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_i) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP tptp.c_Nat_OSuc V_i)) V_xs)))))))
% 80.53/80.77  (assume a3975 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) V_xs)))
% 80.53/80.77  (assume a3976 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs))))
% 80.53/80.77  (assume a3977 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_xs)))
% 80.53/80.77  (assume a3978 (forall ((V_ys $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_ys)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_n) V_y))))
% 80.53/80.77  (assume a3979 (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_i) V_xs))))))
% 80.53/80.77  (assume a3980 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.c_List_Orotate1 T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)))))
% 80.53/80.77  (assume a3981 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.c_List_Obutlast T_a V_xs)))))
% 80.53/80.77  (assume a3982 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.c_List_Obutlast T_a V_xs)) (tptp.c_List_Obutlast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)))))
% 80.53/80.77  (assume a3983 (forall ((V_xs $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_m) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_m) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m)) V_xs)))))
% 80.53/80.77  (assume a3984 (forall ((V_xs $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_m) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)))))
% 80.53/80.77  (assume a3985 (forall ((V_xs $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_m) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m)) V_xs))))
% 80.53/80.77  (assume a3986 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_xs) V_xs)))
% 80.53/80.77  (assume a3987 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_n $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop (tptp.tc_prod T_a T_b)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_n) V_ys)))))
% 80.53/80.77  (assume a3988 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.c_List_Orotate1 T_a) V_xs)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))))
% 80.53/80.77  (assume a3989 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_n))))
% 80.53/80.77  (assume a3990 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.c_List_Orotate1 T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))
% 80.53/80.77  (assume a3991 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_na_2) V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a3992 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_na_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a3993 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a3994 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Orotate1 T_b) V_xs_2) (tptp.c_List_Olist_ONil T_b)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a3995 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_m_2 $$unsorted) (V_na_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_m_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_na_2) V_xs_2)))))))
% 80.53/80.77  (assume a3996 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_na_2) V_xs_2) (tptp.c_List_Olist_ONil T_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) V_na_2)))))
% 80.53/80.77  (assume a3997 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs) (tptp.c_List_Olist_ONil T_a)))))
% 80.53/80.77  (assume a3998 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) V_ys)))))
% 80.53/80.77  (assume a3999 (forall ((V_zs_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2) V_zs_2) (and (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) V_zs_2)) (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) V_zs_2))))))
% 80.53/80.77  (assume a4000 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_Nat_Onat_Onat__case (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Odrop T_b)) V_xs_2) V_na_2))))
% 80.53/80.77  (assume a4001 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (and (=> (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs))) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_xs))))))
% 80.53/80.77  (assume a4002 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_i)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) V_i) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_i))))))
% 80.53/80.77  (assume a4003 (forall ((V_ys_092_060_094isub_0622_2 $$unsorted) (V_ys_092_060_094isub_0621_2 $$unsorted) (V_xs_092_060_094isub_0622_2 $$unsorted) (V_xs_092_060_094isub_0621_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_092_060_094isub_0621_2) V_xs_092_060_094isub_0622_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys_092_060_094isub_0621_2) V_ys_092_060_094isub_0622_2)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_092_060_094isub_0621_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_092_060_094isub_0621_2))) (and (= V_xs_092_060_094isub_0621_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_092_060_094isub_0621_2)) V_ys_092_060_094isub_0621_2)) (= V_xs_092_060_094isub_0622_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_092_060_094isub_0621_2)) V_ys_092_060_094isub_0621_2)) V_ys_092_060_094isub_0622_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_092_060_094isub_0621_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_092_060_094isub_0621_2)))) (and (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_092_060_094isub_0621_2)) V_xs_092_060_094isub_0621_2) V_ys_092_060_094isub_0621_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_092_060_094isub_0621_2)) V_xs_092_060_094isub_0621_2)) V_xs_092_060_094isub_0622_2) V_ys_092_060_094isub_0622_2)))))))
% 80.53/80.77  (assume a4004 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP tptp.c_Nat_OSuc V_i)) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_i) V_xs)))))
% 80.53/80.77  (assume a4005 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (and (= (tptp.hAPP (tptp.c_List_Orotate1 T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a)) (= (tptp.hAPP (tptp.c_List_Orotate1 T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x) (tptp.c_List_Olist_ONil T_b)))))))
% 80.53/80.77  (assume a4006 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_v $$unsorted)) (and (=> (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs))) (=> (not (= (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_v)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_xs))))))
% 80.53/80.77  (assume a4007 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_j)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_j)) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_i) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_j) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_i) V_xs)))))))
% 80.53/80.77  (assume a4008 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_List_Orotate1 T_a) V_xs) V_xs))))
% 80.53/80.77  (assume a4009 (forall ((V_zs $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) V_zs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_zs))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_ys) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_zs))))))
% 80.53/80.77  (assume a4010 (forall ((V_zs $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_ys) V_zs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys)) V_xs)) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys)) V_xs)) V_zs)))))
% 80.53/80.77  (assume a4011 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= V_xs (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_i) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP tptp.c_Nat_OSuc V_i)) V_xs)))))))
% 80.53/80.77  (assume a4012 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs))) (tptp.c_List_Olist_ONil T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) V_xs)))))
% 80.53/80.77  (assume a4013 (forall ((V_n $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_n))))))
% 80.53/80.77  (assume a4014 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_x)))
% 80.53/80.77  (assume a4015 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.c_List_Ohd T_a) V_xs)))))
% 80.53/80.77  (assume a4016 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (and (=> (= V_xs (tptp.c_List_Olist_ONil T_a)) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.c_List_Ohd T_a) V_ys))) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.c_List_Ohd T_a) V_xs))))))
% 80.53/80.77  (assume a4017 (forall ((T_b $$unsorted) (V_xs_2 $$unsorted)) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_List_Ohd T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a4018 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.c_List_Ohd T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a4019 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.c_List_Orotate1 T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) (tptp.hAPP (tptp.c_List_Ohd T_a) V_xs)) (tptp.c_List_Olist_ONil T_a)))))))
% 80.53/80.77  (assume a4020 (forall ((V_n $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_n (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)))))))
% 80.53/80.77  (assume a4021 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)) (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)))))
% 80.53/80.77  (assume a4022 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)))))
% 80.53/80.77  (assume a4023 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_xs)))
% 80.53/80.77  (assume a4024 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs))))))
% 80.53/80.77  (assume a4025 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.c_List_Orotate T_b V_na_2) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)))))
% 80.53/80.77  (assume a4026 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Orotate T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_na_2)) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.c_List_Orotate T_b V_m_2)) (tptp.c_List_Orotate T_b V_na_2)))))
% 80.53/80.77  (assume a4027 (forall ((V_xs $$unsorted) (V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate T_a V_m) (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs)) (tptp.hAPP (tptp.c_List_Orotate T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m) V_n)) V_xs))))
% 80.53/80.77  (assume a4028 (forall ((T_b $$unsorted)) (= (tptp.c_List_Orotate T_b (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_Fun_Oid (tptp.tc_List_Olist T_b)))))
% 80.53/80.77  (assume a4029 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))))
% 80.53/80.77  (assume a4030 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.c_List_Orotate T_b V_na_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))
% 80.53/80.77  (assume a4031 (forall ((T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a4032 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Orotate T_b V_na_2) V_xs_2) (tptp.c_List_Olist_ONil T_b)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4033 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate1 T_a) (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs)) (tptp.hAPP (tptp.c_List_Orotate T_a V_n) (tptp.hAPP (tptp.c_List_Orotate1 T_a) V_xs)))))
% 80.53/80.77  (assume a4034 (forall ((V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Orotate T_b V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_na_2) (tptp.c_List_Orotate1 T_b)))))
% 80.53/80.77  (assume a4035 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)) V_ys)))))
% 80.53/80.77  (assume a4036 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)) (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) V_xs)))))
% 80.53/80.77  (assume a4037 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs) (tptp.hAPP (tptp.c_List_Orotate T_a (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_n (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) V_xs))))
% 80.53/80.77  (assume a4038 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)))))
% 80.53/80.77  (assume a4039 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate T_a (tptp.hAPP tptp.c_Nat_OSuc V_n)) V_xs) (tptp.hAPP (tptp.c_List_Orotate1 T_a) (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs)))))
% 80.53/80.77  (assume a4040 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Otl T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist T_b) T_b (tptp.hAPP (tptp.c_List_Otl T_b) V_ys_2) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Oappend T_b)) V_ys_2))) V_xs_2))))
% 80.53/80.77  (assume a4041 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_n (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs) V_xs))))
% 80.53/80.77  (assume a4042 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs) V_xs))))
% 80.53/80.77  (assume a4043 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))
% 80.53/80.77  (assume a4044 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)))))
% 80.53/80.77  (assume a4045 (forall ((V_n $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP tptp.c_Nat_OSuc V_n)) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) (tptp.hAPP (tptp.c_List_Ohd T_a) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) (tptp.hAPP (tptp.c_List_Otl T_a) V_xs)))))))
% 80.53/80.77  (assume a4046 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate T_a V_n) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_n (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_n (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) V_xs)))))
% 80.53/80.77  (assume a4047 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Oab__semigroup__idem__mult T_b) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 T_b (tptp.c_Groups_Otimes__class_Otimes T_b)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_List_Ohd T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Otl T_b) V_xs_2)))))))
% 80.53/80.77  (assume a4048 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted)) (=> (exists ((B_b $$unsorted) (B_z $$unsorted)) (= V_y_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_b) B_z))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_x_2) V_y_2))) (tptp.c_List_Olexord T_b V_r_2))))))
% 80.53/80.77  (assume a4049 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_f_2 V_a_2) (tptp.c_List_Olist_ONil T_c)) V_a_2)))
% 80.53/80.77  (assume a4050 (forall ((V_ns_2 $$unsorted) (V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) V_na_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_ns_2))))))
% 80.53/80.77  (assume a4051 (forall ((V_zs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_x_2) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_zs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) V_x_2) V_zs_2)))))
% 80.53/80.77  (assume a4052 (forall ((V_zs_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Osemigroup__add T_b) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_x_2) V_y_2)) V_zs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_x_2) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) V_y_2) V_zs_2))))))
% 80.53/80.77  (assume a4053 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_f_2 V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_x_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP V_f_2 V_a_2) V_x_2)) V_xs_2))))
% 80.53/80.77  (assume a4054 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_f_2 V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_c) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_f_2 (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_f_2 V_a_2) V_xs_2)) V_ys_2))))
% 80.53/80.77  (assume a4055 (forall ((T_b $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_b) (= (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.77  (assume a4056 (forall ((V_ns_2 $$unsorted) (V_m_2 $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_ns_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (and (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) V_ns_2))) (= B_x (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))))
% 80.53/80.77  (assume a4057 (forall ((V_xs_2 $$unsorted) (V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm__idem T_b T_c V_f_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_y_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_c T_b (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) V_f_2) V_y_2) V_xs_2)))))
% 80.53/80.77  (assume a4058 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) (tptp.c_Orderings_Obot__class_Obot T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4059 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) (tptp.c_Orderings_Otop__class_Otop T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4060 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.c_Big__Operators_Olattice__class_OSup__fin T_b (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b) V_x_2) V_xs_2)))))
% 80.53/80.77  (assume a4061 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lattices_Olattice T_b) (= (tptp.c_Big__Operators_Olattice__class_OInf__fin T_b (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b) V_x_2) V_xs_2)))))
% 80.53/80.77  (assume a4062 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olinorder__class_OMin T_b (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) V_xs_2)))))
% 80.53/80.77  (assume a4063 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olinorder__class_OMax T_b (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) V_xs_2)))))
% 80.53/80.77  (assume a4064 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olattice_OInf__fin T_b (tptp.c_Orderings_Oord__class_Omin T_b) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Orderings_Oord__class_Omin T_b) V_x_2) V_xs_2)))))
% 80.53/80.77  (assume a4065 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_Big__Operators_Olattice_OSup__fin T_b (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_x_2) V_xs_2)))))
% 80.53/80.77  (assume a4066 (forall ((V_f_2 $$unsorted) (V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c T_b) (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2)) V_f_2) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Lattices_Osemilattice__sup__class_Osup T_b)) V_f_2)) (tptp.c_Orderings_Obot__class_Obot T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4067 (forall ((V_f_2 $$unsorted) (V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c T_b) (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2)) V_f_2) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_b)) V_f_2)) (tptp.c_Orderings_Otop__class_Otop T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4068 (forall ((V_ns_2 $$unsorted) (V_na_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) V_ns_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_List_Ofoldl tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_ns_2))))))
% 80.53/80.77  (assume a4069 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_x_2) (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))))))
% 80.53/80.77  (assume a4070 (forall ((V_r_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) V_y_2)) (tptp.c_List_Olexord T_b V_r_2))) (exists ((B_a $$unsorted) (B_x $$unsorted)) (= V_y_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_a) B_x))))))
% 80.53/80.77  (assume a4071 (forall ((V_ys_2 $$unsorted) (T_c $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_y_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_y_2) V_ys_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_y_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_y_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) V_ys_2))))))))
% 80.53/80.77  (assume a4072 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_x_2) (tptp.c_List_Olist_ONil T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a4073 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a4074 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_x_2) V_xs_2)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))))))
% 80.53/80.77  (assume a4075 (forall ((T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (tptp.c_Finite__Set_Ofun__left__comm T_b (tptp.tc_List_Olist T_b) (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b))))))
% 80.53/80.77  (assume a4076 (forall ((V_xs_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_y_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_y_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_x_2) V_xs_2))))))
% 80.53/80.77  (assume a4077 (forall ((V_xs_2 $$unsorted) (T_c $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_y_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_y_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_y_2) V_xs_2)))))))
% 80.53/80.77  (assume a4078 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Oremove1 T_b V_x_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_x_2) V_xs_2)) V_xs_2))))
% 80.53/80.77  (assume a4079 (forall ((V_xs_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_a_2) V_xs_2) (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a4080 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_x_2) V_xs_2))) (and (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)))))))
% 80.53/80.77  (assume a4081 (forall ((V_xs_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2))))) (= (tptp.c_List_Olinorder__class_Oinsort__insert__key T_c T_b V_f_2 V_x_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) V_xs_2))))))
% 80.53/80.77  (assume a4082 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.c_List_Olinorder__class_Oinsort__insert__key T_b T_b (tptp.c_COMBI T_b) V_x_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_x_2) V_xs_2))))))
% 80.53/80.77  (assume a4083 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.c_List_Olinorder__class_Oinsort__insert__key T_b T_c V_f_2 V_x_2 V_xs_2)))))))
% 80.53/80.77  (assume a4084 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.c_List_Olinorder__class_Oinsort__insert__key T_b T_b (tptp.c_COMBI T_b) V_x_2 V_xs_2) V_xs_2)))))
% 80.53/80.77  (assume a4085 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Olinorder__class_Oinsort__insert__key T_b T_b (tptp.c_COMBI T_b) V_x_2 V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.77  (assume a4086 (forall ((V_xs_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2)))) (= (tptp.c_List_Olinorder__class_Oinsort__insert__key T_c T_b V_f_2 V_x_2 V_xs_2) V_xs_2)))))
% 80.53/80.77  (assume a4087 (forall ((V_x $$unsorted) (V_k $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (and (=> (= V_k (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_k) V_x)) V_x)) (=> (not (= V_k (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_k) V_x)) (tptp.c_List_Olast T_a V_xs)))))))
% 80.53/80.77  (assume a4088 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olast T_a V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))))
% 80.53/80.77  (assume a4089 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (and (=> (= V_xs (tptp.c_List_Olist_ONil T_a)) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_x)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.c_List_Olast T_a V_xs))))))
% 80.53/80.77  (assume a4090 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.c_List_Olast T_a V_xs)))))
% 80.53/80.77  (assume a4091 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (=> (= V_xs (tptp.c_List_Olist_ONil T_a)) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) V_x))))
% 80.53/80.77  (assume a4092 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (and (=> (= V_ys (tptp.c_List_Olist_ONil T_a)) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.c_List_Olast T_a V_xs))) (=> (not (= V_ys (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.c_List_Olast T_a V_ys))))))
% 80.53/80.77  (assume a4093 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (=> (not (= V_ys (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.c_List_Olast T_a V_ys)))))
% 80.53/80.77  (assume a4094 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (=> (= V_ys (tptp.c_List_Olist_ONil T_a)) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.c_List_Olast T_a V_xs)))))
% 80.53/80.77  (assume a4095 (forall ((T_b $$unsorted) (V_as_2 $$unsorted)) (=> (not (= V_as_2 (tptp.c_List_Olist_ONil T_b))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.c_List_Olast T_b V_as_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_as_2))))))
% 80.53/80.77  (assume a4096 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Olist_ONil T_a)))) V_x)))
% 80.53/80.77  (assume a4097 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs)) (tptp.c_List_Olast T_a V_xs)))))
% 80.53/80.77  (assume a4098 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Obutlast T_a V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) (tptp.c_List_Olast T_a V_xs)) (tptp.c_List_Olist_ONil T_a))) V_xs))))
% 80.53/80.77  (assume a4099 (forall ((V_ys_2 $$unsorted) (V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b))) V_ys_2) (and (not (= V_ys_2 (tptp.c_List_Olist_ONil T_b))) (= (tptp.c_List_Obutlast T_b V_ys_2) V_xs_2) (= (tptp.c_List_Olast T_b V_ys_2) V_x_2)))))
% 80.53/80.77  (assume a4100 (forall ((V_A_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_a_2) (tptp.c_List_Olists T_b V_A_2))) (or (= V_a_2 (tptp.c_List_Olist_ONil T_b)) (exists ((B_a $$unsorted) (B_l $$unsorted)) (and (= V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_a) B_l)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_a) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_l) (tptp.c_List_Olists T_b V_A_2)))))))))
% 80.53/80.77  (assume a4101 (forall ((T_b $$unsorted) (V_xs_2 $$unsorted)) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (= (tptp.c_Random_Oselect__weight T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b)) (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral T_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))) V_xs_2)) (tptp.c_Random_Oselect T_b V_xs_2)))))
% 80.53/80.77  (assume a4102 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_c) (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a4103 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_xs_2 $$unsorted)) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (= (tptp.c_List_Olast T_c (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)) (tptp.hAPP V_f_2 (tptp.c_List_Olast T_b V_xs_2))))))
% 80.53/80.77  (assume a4104 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_a_2 $$unsorted) (V_g_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_g_2 V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_f_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_d (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_d T_c) (tptp.tc_fun T_d T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun T_d T_c) (tptp.tc_fun T_d T_b)) T_b) (tptp.c_COMBB T_c T_b T_d)) V_g_2)) V_f_2) V_a_2) V_xs_2))))
% 80.53/80.77  (assume a4105 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate T_b V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.c_List_Orotate T_c V_na_2) V_xs_2)))))
% 80.53/80.77  (assume a4106 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.c_List_Otl T_c) V_xs_2)) (tptp.hAPP (tptp.c_List_Otl T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)))))
% 80.53/80.77  (assume a4107 (forall ((V_ys_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_f_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b T_d) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_d (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_d T_c) (tptp.tc_fun T_d (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun (tptp.tc_fun T_d T_c) (tptp.tc_fun T_d (tptp.tc_prod T_b T_c))) T_b) (tptp.c_COMBB T_c (tptp.tc_prod T_b T_c) T_d)) (tptp.c_Product__Type_OPair T_b T_c))) V_f_2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_d) V_xs_2) V_ys_2)))))
% 80.53/80.77  (assume a4108 (forall ((V_ys_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_c T_d) T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_c T_d) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_e T_d) V_g_2) V_ys_2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_c T_e) T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_e T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_e (tptp.tc_prod T_c T_d)) (tptp.tc_fun T_e T_b) T_c) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_d) T_b T_e) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_e T_d) (tptp.tc_fun T_e (tptp.tc_prod T_c T_d))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_prod T_c T_d)) (tptp.tc_fun (tptp.tc_fun T_e T_d) (tptp.tc_fun T_e (tptp.tc_prod T_c T_d))) T_c) (tptp.c_COMBB T_d (tptp.tc_prod T_c T_d) T_e)) (tptp.c_Product__Type_OPair T_c T_d))) V_g_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_c T_e) V_xs_2) V_ys_2)))))
% 80.53/80.77  (assume a4109 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_c T_d) T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_c T_d) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_e T_c) V_g_2) V_xs_2)) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_e T_d) T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_e T_d T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_d (tptp.tc_prod T_c T_d)) (tptp.tc_fun T_d T_b) T_e) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_c T_d) T_b T_d) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_d (tptp.tc_prod T_c T_d)) T_e) (tptp.c_Product__Type_OPair T_c T_d)) V_g_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_e T_d) V_xs_2) V_ys_2)))))
% 80.53/80.77  (assume a4110 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_b) V_f_2) V_xs_2)) V_ys_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_d T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_d T_c (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) T_d) (tptp.c_Product__Type_OPair T_b T_c)) V_f_2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_d T_c) V_xs_2) V_ys_2)))))
% 80.53/80.77  (assume a4111 (forall ((V_ys_2 $$unsorted) (V_g_2 $$unsorted) (T_e $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_e T_c) V_g_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_d T_e) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_d T_e (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_d (tptp.tc_fun T_e T_c) (tptp.tc_fun T_e (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun (tptp.tc_fun T_e T_c) (tptp.tc_fun T_e (tptp.tc_prod T_b T_c))) T_d) (tptp.c_COMBB T_c (tptp.tc_prod T_b T_c) T_e)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) T_d) (tptp.c_Product__Type_OPair T_b T_c)) V_f_2))) V_g_2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_d T_e) V_xs_2) V_ys_2)))))
% 80.53/80.77  (assume a4112 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_b) V_xs_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b (tptp.tc_prod T_b T_b)) (tptp.c_Product__Type_OPair T_b T_b)) (tptp.c_COMBI T_b))) V_xs_2))))
% 80.53/80.77  (assume a4113 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2) (tptp.c_List_Olist_ONil T_b)) (= V_xs_2 (tptp.c_List_Olist_ONil T_c)))))
% 80.53/80.77  (assume a4114 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Olist_ONil T_c)) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.77  (assume a4115 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (= V_xs_2 (tptp.c_List_Olist_ONil T_c)))))
% 80.53/80.77  (assume a4116 (forall ((V_y_2 $$unsorted) (V_k_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_c V_xs_2) V_k_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) V_k_2) (tptp.hAPP V_f_2 V_y_2)))))
% 80.53/80.77  (assume a4117 (forall ((V_g_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_g_2) V_xs_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2))) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x)))))))
% 80.53/80.77  (assume a4118 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_xs_2))))
% 80.53/80.77  (assume a4119 (forall ((V_ys_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_b) V_g_2) V_ys_2)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_d)) V_ys_2)))))
% 80.53/80.77  (assume a4120 (forall ((V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.c_COMBK T_b T_c) (tptp.c_Groups_Ozero__class_Ozero T_b))) V_xs_2)) (tptp.c_Groups_Ozero__class_Ozero T_b)))))
% 80.53/80.77  (assume a4121 (forall ((V_xs_2 $$unsorted) (V_c_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__0 T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Otimes__class_Otimes T_b)) V_f_2)) V_c_2)) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))) V_c_2)))))
% 80.53/80.77  (assume a4122 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (V_c_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__0 T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_b T_c) (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2)) V_f_2)) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)))))))
% 80.53/80.77  (assume a4123 (forall ((V_xs_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Ominus__class_Ominus T_b)) V_f_2)) V_g_2)) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_g_2) V_xs_2)))))))
% 80.53/80.77  (assume a4124 (forall ((V_xs_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_b T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b T_b) T_c) (tptp.c_Groups_Oplus__class_Oplus T_b)) V_f_2)) V_g_2)) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_g_2) V_xs_2)))))))
% 80.53/80.77  (assume a4125 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_ys_2)) (=> (tptp.c_Fun_Oinj__on T_c T_b V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= V_xs_2 V_ys_2)))))
% 80.53/80.77  (assume a4126 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_ys_2)) (= V_xs_2 V_ys_2)))))
% 80.53/80.77  (assume a4127 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_b) (tptp.c_COMBI T_b)) V_xs_2) V_xs_2)))
% 80.53/80.77  (assume a4128 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_c) V_na_2) V_xs_2)))))
% 80.53/80.77  (assume a4129 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Obutlast T_c V_xs_2)) (tptp.c_List_Obutlast T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)))))
% 80.53/80.77  (assume a4130 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2)))))
% 80.53/80.77  (assume a4131 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)))))
% 80.53/80.77  (assume a4132 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_c) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_ys_2)))))
% 80.53/80.77  (assume a4133 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_xs_2 $$unsorted)) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (= (tptp.hAPP (tptp.c_List_Ohd T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_List_Ohd T_b) V_xs_2))))))
% 80.53/80.77  (assume a4134 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_na_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_c) V_na_2) V_xs_2)))))
% 80.53/80.77  (assume a4135 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_List_Olist T_d) (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_f_2)) (tptp.hAPP (tptp.c_List_Omap T_b T_d) V_g_2)) (tptp.hAPP (tptp.c_List_Omap T_b T_c) (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_f_2) V_g_2)))))
% 80.53/80.77  (assume a4136 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_d $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.tc_List_Olist T_d) (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_f_2)) (tptp.hAPP (tptp.c_List_Omap T_b T_d) V_g_2)) (tptp.hAPP (tptp.c_List_Omap T_b T_c) (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_c T_b V_f_2) V_g_2)))))
% 80.53/80.77  (assume a4137 (forall ((V_list_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_g_2) V_list_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_b) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_d V_f_2) V_g_2)) V_list_2))))
% 80.53/80.77  (assume a4138 (forall ((V_xs_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_g_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_b) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_d V_f_2) V_g_2)) V_xs_2))))
% 80.53/80.77  (assume a4139 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Omap T_b T_b) (tptp.c_COMBI T_b)) (tptp.c_Fun_Oid (tptp.tc_List_Olist T_b)))))
% 80.53/80.77  (assume a4140 (forall ((V_xs_2 $$unsorted) (V_g_2 $$unsorted) (T_c $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist_Olist__size T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_g_2) V_xs_2)) (tptp.c_List_Olist_Olist__size T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_b tptp.tc_Nat_Onat T_c V_f_2) V_g_2) V_xs_2))))
% 80.53/80.77  (assume a4141 (forall ((T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Omap T_b T_b) (tptp.c_Fun_Oid T_b)) (tptp.c_Fun_Oid (tptp.tc_List_Olist T_b)))))
% 80.53/80.77  (assume a4142 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_ys_2))) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_ys_2)) (= V_xs_2 V_ys_2)))))
% 80.53/80.77  (assume a4143 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_ys_2)) (=> (tptp.c_Fun_Oinj__on T_c T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_c) V_ys_2))) (= V_xs_2 V_ys_2)))))
% 80.53/80.77  (assume a4144 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)) V_na_2) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_na_2))))))
% 80.53/80.77  (assume a4145 (forall ((V_v_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) (tptp.c_Fun_Ofun__upd T_b T_c V_f_2 V_y_2 V_v_2)) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)))))
% 80.53/80.77  (assume a4146 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_c) V_xs_2)) (tptp.c_Fun_Oinj__on T_c T_b V_f_2 (tptp.hAPP (tptp.c_List_Oset T_c) V_xs_2))))))
% 80.53/80.77  (assume a4147 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oordered__ab__group__add__abs T_b) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) V_xs_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_b) (tptp.c_Groups_Oabs__class_Oabs T_b)) V_xs_2)))))))
% 80.53/80.77  (assume a4148 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__group__add T_b) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_b T_c (tptp.c_Groups_Ouminus__class_Ouminus T_b)) V_f_2)) V_xs_2))))))
% 80.53/80.77  (assume a4149 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_List_Oset T_b)) V_A_2))) (tptp.c_Fun_Oinj__on (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_c) (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_A_2))))
% 80.53/80.77  (assume a4150 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oinj__on (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_c) (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a4151 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_c) (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a4152 (forall ((V_f_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))))
% 80.53/80.77  (assume a4153 (forall ((V_xs_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Osemiring__1 T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.c_COMBK T_b T_c) V_r_2)) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) (tptp.hAPP (tptp.c_Nat_Osemiring__1__class_Oof__nat T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_xs_2))) V_r_2)))))
% 80.53/80.77  (assume a4154 (forall ((V_f_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_c) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2)))))))))
% 80.53/80.77  (assume a4155 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.c_Nitpick_Osetsum_H T_b T_c V_f_2 V_A_2) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.c_Hilbert__Choice_OEps (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_List_Oset T_b))) V_A_2))) (tptp.c_List_Odistinct T_b))))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2))) (= (tptp.c_Nitpick_Osetsum_H T_b T_c V_f_2 V_A_2) (tptp.c_Groups_Ozero__class_Ozero T_c)))))))
% 80.53/80.77  (assume a4156 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_l_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_l_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (= (tptp.hAPP (tptp.c_Random_Opick T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b)) (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Code__Numeral_Ocode__numeral T_b) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))) V_xs_2)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_l_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_l_2)))))
% 80.53/80.77  (assume a4157 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.77  (assume a4158 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_n)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_m)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_n) V_m)))))
% 80.53/80.77  (assume a4159 (= tptp.c_Code__Numeral_Oof__nat (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Code__Numeral_Ocode__numeral)))
% 80.53/80.77  (assume a4160 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_na_2) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_m_2)) (= V_na_2 V_m_2))))
% 80.53/80.77  (assume a4161 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))
% 80.53/80.77  (assume a4162 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_na_2)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_m_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) V_m_2)))))
% 80.53/80.77  (assume a4163 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_x_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_y_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))) (= (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_x_2) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_y_2)) (= V_x_2 V_y_2))))))
% 80.53/80.77  (assume a4164 (forall ((V_ys_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b T_c) T_b) (tptp.c_Product__Type_Ofst T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)) V_xs_2))))
% 80.53/80.77  (assume a4165 (forall ((V_ys_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b T_c) T_c) (tptp.c_Product__Type_Osnd T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)) V_ys_2))))
% 80.53/80.77  (assume a4166 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Int_Oint tptp.c_Code__Numeral_Oof__nat) tptp.c_Int_Onat)))
% 80.53/80.77  (assume a4167 (forall ((V_zs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b T_c) T_b) (tptp.c_Product__Type_Ofst T_b T_c)) V_zs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b T_c) T_c) (tptp.c_Product__Type_Osnd T_b T_c)) V_zs_2)) V_zs_2)))
% 80.53/80.77  (assume a4168 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_n)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_m)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m)))))
% 80.53/80.77  (assume a4169 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_na_2)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_m_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_na_2) V_m_2)))))
% 80.53/80.77  (assume a4170 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_i_2) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral T_b)) V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Random_Opick T_b V_xs_2) V_i_2)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b) T_b) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral T_b)) V_xs_2)))))))
% 80.53/80.77  (assume a4171 (forall ((V_zs_2 $$unsorted) (V_ys_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2) V_zs_2) (and (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b T_c) T_b) (tptp.c_Product__Type_Ofst T_b T_c)) V_zs_2) V_xs_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b T_c) T_c) (tptp.c_Product__Type_Osnd T_b T_c)) V_zs_2) V_ys_2))))))
% 80.53/80.77  (assume a4172 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist_Olist__size T_b V_f_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b tptp.tc_Nat_Onat) V_f_2) V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4173 (forall ((V_i_2 $$unsorted)) (= (not (= V_i_2 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) V_i_2)))))
% 80.53/80.77  (assume a4174 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint T_b) V_f_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) (tptp.c_List_Oupto V_i_2 V_j_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint T_b) V_f_2) (tptp.c_List_Oupto V_i_2 V_j_2)))))))
% 80.53/80.77  (assume a4175 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint T_b) V_f_2) (tptp.c_List_Oupto V_k_2 V_l_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Int_Oint T_b) V_f_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Int_Oint) (tptp.c_List_Oupto V_k_2 V_l_2)))))))
% 80.53/80.77  (assume a4176 (forall ((V_s_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral T_b)) V_xs_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP (tptp.c_Product__Type_Ofst T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.hAPP (tptp.c_Random_Oselect__weight T_b V_xs_2) V_s_2))) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b) T_b) (tptp.c_Product__Type_Osnd tptp.tc_Code__Numeral_Ocode__numeral T_b)) V_xs_2)))))))
% 80.53/80.77  (assume a4177 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Random_Oselect__weight T_b V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.c_Random_Orange (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_Ofst tptp.tc_Code__Numeral_Ocode__numeral T_b)) V_xs_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.c_Random_Opick T_b V_xs_2))))))
% 80.53/80.77  (assume a4178 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Random_Oselect T_b V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.c_Random_Orange (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Product__Type_OPair T_b (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat T_b tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2)) tptp.c_Code__Numeral_Onat__of))))))
% 80.53/80.77  (assume a4179 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_n)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_m)) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) V_m)))))
% 80.53/80.77  (assume a4180 (forall ((V_x $$unsorted)) (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_x)) V_x)))
% 80.53/80.77  (assume a4181 (forall ((V_k $$unsorted)) (= (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_k)) V_k)))
% 80.53/80.77  (assume a4182 (forall ((V_n $$unsorted)) (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_n)) V_n)))
% 80.53/80.77  (assume a4183 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_k_2) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_l_2)) (= V_k_2 V_l_2))))
% 80.53/80.77  (assume a4184 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_x_2) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_y_2)) (= V_x_2 V_y_2))))
% 80.53/80.77  (assume a4185 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral) V_n) V_m) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_n)) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_m))))))
% 80.53/80.77  (assume a4186 (tptp.c_Typedef_Otype__definition tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Nat_Onat tptp.c_Code__Numeral_Onat__of tptp.c_Code__Numeral_Oof__nat (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))
% 80.53/80.77  (assume a4187 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_na_2) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_na_2)) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_m_2))))))
% 80.53/80.77  (assume a4188 (forall ((V_x_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_x_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.77  (assume a4189 (forall ((V_k $$unsorted)) (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) V_k)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_k))))
% 80.53/80.77  (assume a4190 (= tptp.c_Code__Numeral_Oint__of (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Int_Oint tptp.tc_Code__Numeral_Ocode__numeral (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) tptp.c_Code__Numeral_Onat__of)))
% 80.53/80.77  (assume a4191 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral) V_na_2) V_m_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_na_2)) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_m_2))))))
% 80.53/80.77  (assume a4192 (forall ((V_i $$unsorted)) (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_i) (tptp.c_Code__Numeral_Onat__of__aux V_i (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.77  (assume a4193 (forall ((V_n $$unsorted) (V_i $$unsorted)) (= (tptp.c_Code__Numeral_Onat__of__aux V_i V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_i)) V_n))))
% 80.53/80.77  (assume a4194 (forall ((V_k $$unsorted)) (= (tptp.c_Code__Numeral_OSuc__code__numeral V_k) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_k))))))
% 80.53/80.77  (assume a4195 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_n) V_m) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_n)) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_m))))))
% 80.53/80.77  (assume a4196 (forall ((V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_y_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))) (= (tptp.hAPP tptp.c_Code__Numeral_Onat__of (tptp.hAPP tptp.c_Code__Numeral_Oof__nat V_y_2)) V_y_2))))
% 80.53/80.77  (assume a4197 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Code__Numeral_Ocode__numeral) V_n) V_m) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_n)) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_m))))))
% 80.53/80.77  (assume a4198 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Code__Numeral_Ocode__numeral) V_n) V_m) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_n)) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_m))))))
% 80.53/80.77  (assume a4199 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_n) V_m) (tptp.hAPP (tptp.hAPP tptp.c_Code__Numeral_Osubtract__code__numeral V_n) V_m))))
% 80.53/80.77  (assume a4200 (= tptp.c_Code__Numeral_Osubtract__code__numeral (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral)))
% 80.53/80.77  (assume a4201 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Code__Numeral_Ocode__numeral V_n V_m) (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_n) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_m))))))
% 80.53/80.77  (assume a4202 (forall ((V_k $$unsorted)) (=> (not (= V_k (tptp.hAPP tptp.c_Code__Numeral_Oof__nat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_k)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hAPP tptp.c_Code__Numeral_Onat__of V_k))))))
% 80.53/80.77  (assume a4203 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Groups_Omonoid__add T_c) (tptp.class_Groups_Oordered__ab__semigroup__add T_c)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_g_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_g_2) V_xs_2))))))))
% 80.53/80.77  (assume a4204 (forall ((V_i_2 $$unsorted) (V_xq_2 $$unsorted)) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__not__seq V_xq_2) V_i_2) (tptp.c_Lazy__Sequence_Ohb__not__seq (tptp.hAPP V_xq_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Code__Numeral_Ocode__numeral) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 tptp.c_Int_OPls)))) V_i_2))))))
% 80.53/80.77  (assume a4205 (forall ((V_no_2 $$unsorted) (V_yes_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.c_List_Opartition T_b V_Pa_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_yes_2) V_no_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_yes_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_no_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a4206 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olistsp T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_List_Olist T_b))) (tptp.c_List_Olists T_b V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_List_Olist T_b))) (tptp.c_List_Olists T_b V_B_2))))))
% 80.53/80.77  (assume a4207 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4208 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4209 (forall ((V_xs_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) V_xs_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_A_2 B_x)))))))
% 80.53/80.77  (assume a4210 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_A_2)) V_B_2)) V_x_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_B_2) V_x_2))))))
% 80.53/80.77  (assume a4211 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olistsp T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.c_List_Olistsp T_b V_A_2)) (tptp.c_List_Olistsp T_b V_B_2)))))
% 80.53/80.77  (assume a4212 (forall ((V_B_2 $$unsorted) (V_l_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) V_l_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_B_2) V_l_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_l_2))))))
% 80.53/80.77  (assume a4213 (forall ((V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a1_2) V_a2_2))) (and (tptp.hBOOL (tptp.hAPP V_A_2 V_a1_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) V_a2_2))))))
% 80.53/80.77  (assume a4214 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b V_A_2) V_ys_2))))))
% 80.53/80.77  (assume a4215 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.c_List_Olistsp T_b V_A_2)) (tptp.c_List_Olistsp T_b V_B_2))))))
% 80.53/80.77  (assume a4216 (forall ((V_no_2 $$unsorted) (V_yes_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.c_List_Opartition T_b V_Pa_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_yes_2) V_no_2)) (and (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_yes_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_no_2))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))))
% 80.53/80.77  (assume a4217 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Opartition T_b V_Pa_2 (tptp.c_List_Olist_ONil T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4218 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_x_2) (tptp.c_List_Olists T_b V_A_2))))))
% 80.53/80.77  (assume a4219 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Opartition T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.tc_List_Olist T_b)) (tptp.c_COMBS (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_If (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP V_Pa_2 V_x_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_List_Olist T_b)) (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist T_b))) (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)))) (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2)))) (tptp.c_List_Opartition T_b V_Pa_2 V_xs_2)))))
% 80.53/80.77  (assume a4220 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_l_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_l_2) (tptp.c_List_Olists T_b V_A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_l_2) (tptp.c_List_Olists T_b V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Olistsp T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_B_2))) V_l_2))))))
% 80.53/80.77  (assume a4221 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Enum_Oproduct T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2) V_ys_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2)) V_ys_2)) (tptp.c_Enum_Oproduct T_b T_c V_xs_2 V_ys_2)))))
% 80.53/80.77  (assume a4222 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (and (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_Pa_2) B_x))))))))
% 80.53/80.77  (assume a4223 (forall ((V_bs_2 $$unsorted) (V_as_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_b) V_f_2) V_as_2) V_bs_2) (tptp.c_List_Olist__all2 T_d T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) V_Pa_2) V_f_2) V_as_2 V_bs_2))))
% 80.53/80.77  (assume a4224 (forall ((V_bs_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_as_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_as_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_f_2) V_bs_2)) (tptp.c_List_Olist__all2 T_b T_d (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_d T_c) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_d T_c) (tptp.tc_fun T_d tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_c tptp.tc_HOL_Obool T_d)) V_Pa_2)) V_f_2) V_as_2 V_bs_2))))
% 80.53/80.77  (assume a4225 (forall ((V_na_2 $$unsorted) (V_bs_2 $$unsorted) (V_as_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_as_2 V_bs_2) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) V_na_2) V_as_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_c) V_na_2) V_bs_2)))))
% 80.53/80.77  (assume a4226 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_a_2 V_b_2) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_c_2 V_d_2) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_a_2) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_c) V_b_2) V_d_2))))))
% 80.53/80.77  (assume a4227 (forall ((V_vs_2 $$unsorted) (V_us_2 $$unsorted) (V_Pa_2 $$unsorted) (V_ys_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_us_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_c) V_ys_2) V_vs_2)) (and (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_us_2 V_vs_2))))))
% 80.53/80.77  (assume a4228 (forall ((V_ys_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_y_2) V_ys_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_x_2) V_y_2)) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2)))))
% 80.53/80.77  (assume a4229 (forall ((V_na_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_c) V_na_2) V_ys_2)))))
% 80.53/80.77  (assume a4230 (forall ((T_b $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted)) (= (= V_xs_2 V_ys_2) (tptp.c_List_Olist__all2 T_b T_b tptp.c_fequal V_xs_2 V_ys_2))))
% 80.53/80.77  (assume a4231 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)))))
% 80.53/80.77  (assume a4232 (forall ((V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.c_List_Olist_ONil T_b) V_ys_2) (= V_ys_2 (tptp.c_List_Olist_ONil T_c)))))
% 80.53/80.77  (assume a4233 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 (tptp.c_List_Olist_ONil T_c)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4234 (forall ((V_uu $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Enum_Oproduct T_a T_b (tptp.c_List_Olist_ONil T_a) V_uu) (tptp.c_List_Olist_ONil (tptp.tc_prod T_a T_b)))))
% 80.53/80.77  (assume a4235 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (and (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2)) (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_c) V_ys_2) B_i)))))))))
% 80.53/80.77  (assume a4236 (forall ((V_p_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_p_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_p_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_c) V_ys_2) V_p_2)))))))
% 80.53/80.77  (assume a4237 (forall ((V_p_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_p_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_p_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_c) V_ys_2) V_p_2)))))))
% 80.53/80.77  (assume a4238 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_x_2) V_y_2)) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_i_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_c V_ys_2) V_i_2) V_y_2)))))))
% 80.53/80.77  (assume a4239 (forall ((V_i_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2))) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_b V_xs_2) V_i_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_c V_ys_2) V_i_2) V_y_2)))))))
% 80.53/80.77  (assume a4240 (forall ((V_ys $$unsorted) (T_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_ys)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_prod T_a T_b)) (tptp.c_Enum_Oproduct T_a T_b V_xs V_ys)))))))
% 80.53/80.77  (assume a4241 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_c)) (tptp.c_Enum_Oproduct T_b T_c V_xs_2 V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OSigma T_b T_c) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_List_Oset T_c) V_ys_2))))))
% 80.53/80.77  (assume a4242 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Set_Oimage (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_List_Oset T_b)) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) (tptp.c_Enum_Osublists T_b V_xs_2))) (tptp.hAPP (tptp.c_Set_OPow T_b) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a4243 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_a))) (tptp.c_Enum_Osublists T_a V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)))))
% 80.53/80.77  (assume a4244 (forall ((T_a $$unsorted)) (= (tptp.c_Enum_Osublists T_a (tptp.c_List_Olist_ONil T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_a)) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a))))))
% 80.53/80.77  (assume a4245 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Enum_Osublists T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_OLet (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_Enum_Osublists T_b V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Oappend (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2)))) (tptp.c_COMBI (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))))))))
% 80.53/80.77  (assume a4246 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_List_Oset T_b)) (tptp.c_Enum_Osublists T_b V_xs_2)))))))
% 80.53/80.77  (assume a4247 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) (tptp.c_Enum_On__lists T_b V_na_2 V_xs_2)) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_List_Oset T_b))) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))))
% 80.53/80.77  (assume a4248 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Enum_Oenum__the T_b V_Pa_2) (tptp.c_HOL_OThe T_b V_Pa_2))))
% 80.53/80.77  (assume a4249 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_List_Olist T_a)) (tptp.c_Enum_On__lists T_a V_n V_xs))))))
% 80.53/80.77  (assume a4250 (forall ((T_a $$unsorted) (V_n $$unsorted)) (and (=> (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.c_Enum_On__lists T_a V_n (tptp.c_List_Olist_ONil T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_a)) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a))))) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.c_Enum_On__lists T_a V_n (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a)))))))
% 80.53/80.77  (assume a4251 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Enum_On__lists T_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_a)) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a))))))
% 80.53/80.77  (assume a4252 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_a))) (tptp.c_Enum_On__lists T_a V_n V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_n))))
% 80.53/80.77  (assume a4253 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (V_ys_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) V_ys_2) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) (tptp.c_Enum_On__lists T_b V_na_2 V_xs_2)))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys_2) V_na_2))))
% 80.53/80.77  (assume a4254 (forall ((V_Pa_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_c)) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_a_2) V_b_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c tptp.tc_HOL_Obool) V_Pa_2) B_x)))) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_a_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_b_2)) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_a_2 V_b_2)))))
% 80.53/80.77  (assume a4255 (forall ((V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))))))
% 80.53/80.77  (assume a4256 (forall ((V_xs_2 $$unsorted) (V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofun__left__comm T_b T_c V_f_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold T_b T_c V_f_2) V_y_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofoldl T_c T_b (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) V_f_2) V_y_2) (tptp.c_List_Oremdups T_b V_xs_2))))))
% 80.53/80.77  (assume a4257 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.hAPP (tptp.c_List_OremoveAll T_b V_x_2) V_xs_2)) (tptp.hAPP (tptp.c_List_OremoveAll T_c (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2))))))
% 80.53/80.77  (assume a4258 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.c_List_Oremdups T_a V_xs)))))
% 80.53/80.77  (assume a4259 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.c_List_Oremdups T_a V_xs))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)))))
% 80.53/80.77  (assume a4260 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (= (tptp.c_List_Oremdups T_a V_xs) V_xs))))
% 80.53/80.77  (assume a4261 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) V_xs))))))
% 80.53/80.77  (assume a4262 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Oremdups T_b V_xs_2) V_xs_2) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)))))
% 80.53/80.77  (assume a4263 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oremdups T_b V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))
% 80.53/80.77  (assume a4264 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Oremdups T_b V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (= (tptp.c_List_Oremdups T_b V_xs_2) V_xs_2))))
% 80.53/80.77  (assume a4265 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremdups T_a (tptp.c_List_Oremdups T_a V_xs)) (tptp.c_List_Oremdups T_a V_xs))))
% 80.53/80.77  (assume a4266 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Oremdups T_b V_x_2) (tptp.c_List_Olist_ONil T_b)) (= V_x_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4267 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a4268 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Olist_ONil T_b) (tptp.c_List_Oremdups T_b V_x_2)) (= V_x_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4269 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oremdups T_a (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a4270 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (and (=> (= V_x V_y) (= (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_xs)) (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) V_xs))) (=> (not (= V_x V_y)) (= (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) V_xs)))))))
% 80.53/80.77  (assume a4271 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) V_xs)) (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) V_ys)))))
% 80.53/80.77  (assume a4272 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oremdups T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Oremdups T_c V_xs_2))) (tptp.c_List_Oremdups T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)))))
% 80.53/80.77  (assume a4273 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (= (tptp.c_List_Oremove1 T_a V_x (tptp.c_List_Oremdups T_a V_xs)) (tptp.c_List_Oremdups T_a (tptp.c_List_Oremove1 T_a V_x V_xs))))))
% 80.53/80.77  (assume a4274 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.hAPP (tptp.c_List_OremoveAll T_b V_x_2) V_xs_2) V_xs_2))))
% 80.53/80.77  (assume a4275 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (= (tptp.c_List_Oremove1 T_a V_x V_xs) (tptp.hAPP (tptp.c_List_OremoveAll T_a V_x) V_xs)))))
% 80.53/80.77  (assume a4276 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.c_List_Oremdups T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_List_Oremdups T_b V_xs_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.c_List_Oremdups T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Oremdups T_b V_xs_2)))))))
% 80.53/80.77  (assume a4277 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Oremdups T_b V_xs_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a4278 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.hAPP (tptp.c_List_OremoveAll T_b V_x_2) V_xs_2)) (tptp.hAPP (tptp.c_List_OremoveAll T_c (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2))))))
% 80.53/80.77  (assume a4279 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.c_List_OremoveAll T_b V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.77  (assume a4280 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Oremdups T_b (tptp.c_List_Oconcat T_b V_xss_2))) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xss_2)) (tptp.c_List_Oset T_b))))))
% 80.53/80.77  (assume a4281 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.c_List_Olinorder__class_Osort__key T_b T_b (tptp.c_COMBI T_b) (tptp.c_List_Oremdups T_b V_xs_2))))))
% 80.53/80.77  (assume a4282 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oconcat T_b V_xss_2) (tptp.hAPP (tptp.c_List_Ofoldl (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.c_List_Oappend T_b) (tptp.c_List_Olist_ONil T_b)) V_xss_2))))
% 80.53/80.77  (assume a4283 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4284 (forall ((V_xss_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofoldl (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.c_List_Oappend T_b) V_xs_2) V_xss_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) (tptp.c_List_Oconcat T_b V_xss_2)))))
% 80.53/80.77  (assume a4285 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4286 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a4287 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2))))))
% 80.53/80.77  (assume a4288 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oconcat T_a (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a))) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a4289 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oconcat T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_a)) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_x) (tptp.c_List_Oconcat T_a V_xs)))))
% 80.53/80.77  (assume a4290 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Oconcat T_b V_xss_2) (tptp.c_List_Olist_ONil T_b)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xss_2))) (= B_x (tptp.c_List_Olist_ONil T_b)))))))
% 80.53/80.77  (assume a4291 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Olist_ONil T_b) (tptp.c_List_Oconcat T_b V_xss_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xss_2))) (= B_x (tptp.c_List_Olist_ONil T_b)))))))
% 80.53/80.77  (assume a4292 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Oconcat T_c V_xs_2)) (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2)) V_xs_2)))))
% 80.53/80.77  (assume a4293 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_Oconcat T_b V_xss_2)) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) V_xss_2)))))
% 80.53/80.77  (assume a4294 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oconcat T_b V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.tc_List_Olist T_b) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.c_List_Oset T_b)))))
% 80.53/80.77  (assume a4295 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_x_2) (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 V_xs_2))))))
% 80.53/80.77  (assume a4296 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oconcat T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend (tptp.tc_List_Olist T_a)) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Oconcat T_a V_xs)) (tptp.c_List_Oconcat T_a V_ys)))))
% 80.53/80.77  (assume a4297 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osort__key T_b T_b (tptp.c_COMBI T_b) V_xs_2) (tptp.hAPP (tptp.c_List_Ofoldl (tptp.tc_List_Olist T_b) T_b (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b))) (tptp.c_List_Olist_ONil T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4298 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))))) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) B_x)))) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_ys_2)) (= (= (tptp.c_List_Oconcat T_b V_xs_2) (tptp.c_List_Oconcat T_b V_ys_2)) (= V_xs_2 V_ys_2))))))
% 80.53/80.77  (assume a4299 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.c_List_Oconcat T_b V_xs_2) (tptp.c_List_Oconcat T_b V_ys_2)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_ys_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_xs_2) V_ys_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool)) (tptp.tc_List_Olist T_b)) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_List_Olist T_b)) tptp.c_fequal) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))))) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) B_x)))) (= V_xs_2 V_ys_2))))))
% 80.53/80.77  (assume a4300 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) T_c) (tptp.c_List_Olist_OCons T_b)) V_f_2)) (tptp.c_List_Olist_ONil T_b))) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))))
% 80.53/80.77  (assume a4301 (forall ((V_xs_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Enum_On__lists T_b (tptp.hAPP tptp.c_Nat_OSuc V_na_2) V_xs_2) (tptp.c_List_Oconcat (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.tc_List_Olist T_b)) (tptp.c_List_Omap T_b (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)))) V_xs_2)) (tptp.c_Enum_On__lists T_b V_na_2 V_xs_2))))))
% 80.53/80.77  (assume a4302 (forall ((V_xss_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Otranspose T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) V_xss_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist T_b) T_b (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) T_b) (tptp.c_COMBK (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)) (tptp.c_List_Olist_ONil T_b))))) V_xss_2)))) (tptp.c_List_Otranspose T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Oconcat (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) T_b (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)))))) V_xss_2))))))))
% 80.53/80.77  (assume a4303 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist T_b) T_b (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) T_b) (tptp.c_COMBK (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)) (tptp.c_List_Olist_ONil T_b))))) V_xss_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) T_b) (tptp.c_List_Ohd T_b)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_List_Olist_ONil T_b)))) V_xss_2)))))
% 80.53/80.77  (assume a4304 (forall ((V_xs_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_p_2) (tptp.c_List_Oconcat T_b V_xs_2)) (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Ofilter T_b V_p_2)) V_xs_2)))))
% 80.53/80.77  (assume a4305 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 V_xs_2)) (tptp.c_List_Olinorder__class_Osort__key T_b T_c V_f_2 (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))))))
% 80.53/80.77  (assume a4306 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))))))
% 80.53/80.77  (assume a4307 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) V_Pa_2)) V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))))
% 80.53/80.77  (assume a4308 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.77  (assume a4309 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2) V_xs_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.77  (assume a4310 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4311 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Opartition T_b V_f_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_f_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b tptp.c_fNot) V_f_2)) V_xs_2)))))
% 80.53/80.77  (assume a4312 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Osnd (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Opartition T_b V_Pa_2 V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b tptp.c_fNot) V_Pa_2)) V_xs_2))))
% 80.53/80.77  (assume a4313 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Ofst (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Opartition T_b V_Pa_2 V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))))
% 80.53/80.77  (assume a4314 (forall ((V_xs_2 $$unsorted) (V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Q_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) V_Q_2)) V_Pa_2)) V_xs_2))))
% 80.53/80.77  (assume a4315 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_Q_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Q_2) (tptp.c_List_Oremove1 T_b V_x_2 V_xs_2)) (tptp.c_List_Oremove1 T_b V_x_2 (tptp.hAPP (tptp.c_List_Ofilter T_b V_Q_2) V_xs_2)))))
% 80.53/80.77  (assume a4316 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.c_List_Oremove1 T_b V_x_2 (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)))))
% 80.53/80.77  (assume a4317 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_x_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))))))
% 80.53/80.77  (assume a4318 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.c_List_Ofilter T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_b tptp.tc_HOL_Obool T_c V_Pa_2) V_f_2)) V_xs_2)))))
% 80.53/80.77  (assume a4319 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.77  (assume a4320 (forall ((T_a $$unsorted)) (= (tptp.c_List_Otranspose T_a (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a))) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a)))))
% 80.53/80.77  (assume a4321 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))))))
% 80.53/80.77  (assume a4322 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_ys_2)))))
% 80.53/80.77  (assume a4323 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2) (tptp.c_List_Olist_ONil T_b)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))))))
% 80.53/80.77  (assume a4324 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) (tptp.hAPP (tptp.c_List_Ofilter T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_b tptp.tc_HOL_Obool T_c V_Pa_2) V_f_2)) V_xs_2)))))
% 80.53/80.77  (assume a4325 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oremdups T_b (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.c_List_Oremdups T_b V_xs_2)))))
% 80.53/80.77  (assume a4326 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.hAPP (tptp.c_List_OremoveAll T_b V_x_2) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)))))
% 80.53/80.77  (assume a4327 (forall ((V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_OremoveAll T_b V_x_2) (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP tptp.c_fequal V_x_2))))))
% 80.53/80.77  (assume a4328 (forall ((V_xss $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otranspose T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_a)) (tptp.c_List_Olist_ONil T_a)) V_xss)) (tptp.c_List_Otranspose T_a V_xss))))
% 80.53/80.77  (assume a4329 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Otranspose T_b V_xs_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) (tptp.c_List_Otranspose T_b V_xs_2)) V_i_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat T_b) (tptp.c_List_Onth T_b)) V_i_2)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) V_xs_2))))))
% 80.53/80.77  (assume a4330 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Otranspose T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2)) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2)) (tptp.c_List_Otranspose T_c V_xs_2)))))
% 80.53/80.77  (assume a4331 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) V_Pa_2)))))
% 80.53/80.77  (assume a4332 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))))
% 80.53/80.77  (assume a4333 (forall ((V_y_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_y_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_y_2))) V_xs_2)))))
% 80.53/80.77  (assume a4334 (forall ((V_s_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Osublist T_b V_xs_2 V_s_2)))) V_xs_2) (tptp.c_List_Osublist T_b V_xs_2 V_s_2)))))
% 80.53/80.77  (assume a4335 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Otranspose T_b V_xs_2) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_x) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xs_2))) (= B_x (tptp.c_List_Olist_ONil T_b)))))))
% 80.53/80.77  (assume a4336 (forall ((V_xs_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_p_2) V_xs_2)) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Set_OCollect tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b tptp.tc_HOL_Obool tptp.tc_Nat_Onat) V_p_2) (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2))))))))
% 80.53/80.77  (assume a4337 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oconcat (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) T_b (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)))))) V_xss_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Otl T_b)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_List_Olist_ONil T_b)))) V_xss_2)))))
% 80.53/80.77  (assume a4338 (forall ((V_xss_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.c_List_Otranspose__rel T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) V_xss_2))) (= (tptp.c_List_Otranspose T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) V_xss_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist T_b) T_b (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) T_b) (tptp.c_COMBK (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)) (tptp.c_List_Olist_ONil T_b))))) V_xss_2)))) (tptp.c_List_Otranspose T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_List_Oconcat (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_Olist__case (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) T_b (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)))))) V_xss_2)))))))))
% 80.53/80.77  (assume a4339 (forall ((V_xss_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.c_List_Otranspose__rel T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) V_xss_2))) (= (tptp.c_List_Otranspose T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) V_xss_2)) (tptp.c_List_Otranspose T_b V_xss_2)))))
% 80.53/80.77  (assume a4340 (forall ((V_is_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b tptp.tc_Nat_Onat) T_b) (tptp.c_Product__Type_Ofst T_b tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_prod T_b tptp.tc_Nat_Onat)) V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.tc_prod T_b tptp.tc_Nat_Onat)) tptp.c_Nat_OSuc) (tptp.c_Product__Type_Osnd T_b tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b tptp.tc_Nat_Onat) V_xs_2) V_is_2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b tptp.tc_Nat_Onat) T_b) (tptp.c_Product__Type_Ofst T_b tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_prod T_b tptp.tc_Nat_Onat)) V_Pa_2) (tptp.c_Product__Type_Osnd T_b tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b tptp.tc_Nat_Onat) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc) V_is_2)))))))
% 80.53/80.77  (assume a4341 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Random_Oselect__weight T_b (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_COMBK tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))))) V_xs_2)) (tptp.c_Random_Oselect__weight T_b V_xs_2))))
% 80.53/80.77  (assume a4342 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Random_Opick T_b (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral T_b) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case tptp.tc_Code__Numeral_Ocode__numeral T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_COMBK tptp.tc_HOL_Obool T_b)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))))) V_xs_2)) (tptp.c_Random_Opick T_b V_xs_2))))
% 80.53/80.77  (assume a4343 (forall ((T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_List_Olist (tptp.tc_List_Olist T_b)) (tptp.c_List_Otranspose__rel T_b)) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)))) (= (tptp.c_List_Otranspose T_b (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b))) (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b))))))
% 80.53/80.77  (assume a4344 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Ofoldr (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) (tptp.c_List_Otranspose T_b V_xs_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_List_Olist_ONil T_b)))) V_xs_2)))))
% 80.53/80.77  (assume a4345 (forall ((V_xss_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.c_List_Ofoldr (tptp.tc_List_Olist T_c) tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_List_Olist T_c)) (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c))) V_xss_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.c_List_Ofoldr (tptp.tc_List_Olist T_c) tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_List_Olist T_c)) (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_c) tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_List_Olist T_c)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool (tptp.tc_List_Olist T_c)) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_c) (tptp.tc_List_Olist T_c) tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_List_Olist_ONil T_c)))) V_xss_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.77  (assume a4346 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Ofoldr T_c T_b V_f_2 (tptp.c_List_Olist_ONil T_c) V_a_2) V_a_2)))
% 80.53/80.77  (assume a4347 (forall ((V_a_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Ofoldr T_c T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_x_2) V_xs_2) V_a_2) (tptp.hAPP (tptp.hAPP V_f_2 V_x_2) (tptp.c_List_Ofoldr T_c T_b V_f_2 V_xs_2 V_a_2)))))
% 80.53/80.77  (assume a4348 (forall ((V_a_2 $$unsorted) (V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Ofoldr T_c T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_c) V_xs_2) V_ys_2) V_a_2) (tptp.c_List_Ofoldr T_c T_b V_f_2 V_xs_2 (tptp.c_List_Ofoldr T_c T_b V_f_2 V_ys_2 V_a_2)))))
% 80.53/80.77  (assume a4349 (forall ((V_a_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Oab__semigroup__add T_b) (= (tptp.c_List_Ofoldr T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) V_xs_2 V_a_2) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_xs_2)))))
% 80.53/80.77  (assume a4350 (forall ((V_a_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_g_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Ofoldr T_c T_b V_g_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_d T_c) V_f_2) V_xs_2) V_a_2) (tptp.c_List_Ofoldr T_d T_b (tptp.hAPP (tptp.c_Fun_Ocomp T_c (tptp.tc_fun T_b T_b) T_d V_g_2) V_f_2) V_xs_2 V_a_2))))
% 80.53/80.77  (assume a4351 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_b) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.c_Groups_Ozero__class_Ozero T_b)) V_xs_2) (tptp.c_List_Ofoldr T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) V_xs_2 (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.77  (assume a4352 (forall ((V_xs_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_b) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) V_a_2) (tptp.c_List_Ofoldr T_b T_b (tptp.c_Groups_Oplus__class_Oplus T_b) V_xs_2 (tptp.c_Groups_Ozero__class_Ozero T_b)))))))
% 80.53/80.77  (assume a4353 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Otranspose T_b V_xs_2)) (tptp.c_List_Ofoldr (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_List_Olist T_b)) (tptp.c_Orderings_Oord__class_Omax tptp.tc_Nat_Onat)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) V_xs_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.77  (assume a4354 (forall ((V_A_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Osublist T_b V_xs_2 V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b tptp.tc_Nat_Onat) T_b) (tptp.c_Product__Type_Ofst T_b tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_prod T_b tptp.tc_Nat_Onat)) (tptp.c_member tptp.tc_Nat_Onat)) (tptp.c_Product__Type_Osnd T_b tptp.tc_Nat_Onat))) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b tptp.tc_Nat_Onat) V_xs_2) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))))))))
% 80.53/80.77  (assume a4355 (forall ((V_i_2 $$unsorted) (V_xs_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b tptp.tc_Nat_Onat) T_b) (tptp.c_Product__Type_Ofst T_b tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_prod T_b tptp.tc_Nat_Onat)) (tptp.c_member tptp.tc_Nat_Onat)) (tptp.c_Product__Type_Osnd T_b tptp.tc_Nat_Onat))) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b tptp.tc_Nat_Onat) V_xs_2) (tptp.c_List_Oupt V_i_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_prod T_b tptp.tc_Nat_Onat) T_b) (tptp.c_Product__Type_Ofst T_b tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_prod T_b tptp.tc_Nat_Onat) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_prod T_b tptp.tc_Nat_Onat)) (tptp.c_member tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_prod T_b tptp.tc_Nat_Onat) tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_prod T_b tptp.tc_Nat_Onat)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.c_Product__Type_Osnd T_b tptp.tc_Nat_Onat))) V_i_2))) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b tptp.tc_Nat_Onat) V_xs_2) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))))))))
% 80.53/80.77  (assume a4356 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_i_2) V_j_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i_2 V_j_2)))))
% 80.53/80.77  (assume a4357 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i_2 V_j_2)) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_i_2) V_j_2))))
% 80.53/80.77  (assume a4358 (forall ((V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.c_List_Oupt V_i (tptp.hAPP tptp.c_Nat_OSuc V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat) V_j) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)))))))
% 80.53/80.77  (assume a4359 (forall ((V_j $$unsorted) (V_i $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.c_List_Oupt V_i (tptp.hAPP tptp.c_Nat_OSuc V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat) V_j) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j))) (= (tptp.c_List_Oupt V_i (tptp.hAPP tptp.c_Nat_OSuc V_j)) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a4360 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.c_List_Oupt V_i (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_k)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i V_j)) (tptp.c_List_Oupt V_j (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j) V_k)))))))
% 80.53/80.77  (assume a4361 (forall ((V_j $$unsorted) (V_i $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.c_List_Oupt V_i V_j) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat) V_i) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc V_i) V_j)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j))) (= (tptp.c_List_Oupt V_i V_j) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a4362 (forall ((V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.c_List_Oupt V_i V_j) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat) V_i) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc V_i) V_j))))))
% 80.53/80.77  (assume a4363 (forall ((V_i $$unsorted) (V_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j) V_i)) (= (tptp.c_List_Oupt V_i V_j) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)))))
% 80.53/80.77  (assume a4364 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (= (tptp.c_List_Oupt V_i_2 V_j_2) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat)) (or (= V_j_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j_2) V_i_2))))))
% 80.53/80.77  (assume a4365 (forall ((V_i $$unsorted)) (= (tptp.c_List_Oupt V_i (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat))))
% 80.53/80.77  (assume a4366 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_m)) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake tptp.tc_Nat_Onat) V_m) (tptp.c_List_Oupt V_i V_n)) (tptp.c_List_Oupt V_i (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_m))))))
% 80.53/80.77  (assume a4367 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.c_List_Olinorder__class_Osorted__list__of__set tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_m_2) V_na_2)) (tptp.c_List_Oupt V_m_2 V_na_2))))
% 80.53/80.77  (assume a4368 (forall ((V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.hAPP (tptp.c_List_Ohd tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i V_j)) V_i))))
% 80.53/80.77  (assume a4369 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_m $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop tptp.tc_Nat_Onat) V_m) (tptp.c_List_Oupt V_i V_j)) (tptp.c_List_Oupt (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_m) V_j))))
% 80.53/80.77  (assume a4370 (forall ((V_j $$unsorted) (V_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i V_j)))))
% 80.53/80.77  (assume a4371 (forall ((V_j $$unsorted) (V_i $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist tptp.tc_Nat_Onat)) (tptp.c_List_Oupt V_i V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) V_i))))
% 80.53/80.77  (assume a4372 (forall ((V_n $$unsorted) (V_m $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_n))) (= (tptp.c_List_Oupt (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_m)) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_n))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_m)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_n)))) (= (tptp.c_List_Oupt (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_m) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat) V_n)) (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a4373 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_j_2 $$unsorted) (V_i_2 $$unsorted)) (= (= (tptp.c_List_Oupt V_i_2 V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons tptp.tc_Nat_Onat) V_x_2) V_xs_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) V_j_2)) (= V_i_2 V_x_2) (= (tptp.c_List_Oupt (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_j_2) V_xs_2)))))
% 80.53/80.77  (assume a4374 (forall ((V_j $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_j)) (= (tptp.c_List_Olast tptp.tc_Nat_Onat (tptp.c_List_Oupt V_i V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_j) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))
% 80.53/80.77  (assume a4375 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Nat_Onat) tptp.c_Nat_OSuc) (tptp.c_List_Oupt V_m_2 V_na_2)) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc V_m_2) (tptp.hAPP tptp.c_Nat_OSuc V_na_2)))))
% 80.53/80.77  (assume a4376 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat V_na_2 V_m_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_na_2 (tptp.hAPP tptp.c_Nat_OSuc V_m_2))))))
% 80.53/80.77  (assume a4377 (forall ((V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OlessThan tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_na_2)))))
% 80.53/80.77  (assume a4378 (forall ((V_j $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_k)) V_j)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_i V_j)) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_i) V_k)))))
% 80.53/80.77  (assume a4379 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost tptp.tc_Nat_Onat V_na_2 V_m_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc V_na_2) (tptp.hAPP tptp.c_Nat_OSuc V_m_2))))))
% 80.53/80.77  (assume a4380 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted)) (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.tc_Nat_Onat V_na_2 V_m_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt (tptp.hAPP tptp.c_Nat_OSuc V_na_2) V_m_2)))))
% 80.53/80.77  (assume a4381 (forall ((V_na_2 $$unsorted)) (= (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatMost tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc V_na_2))))))
% 80.53/80.77  (assume a4382 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2)) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) V_xs_2)))
% 80.53/80.77  (assume a4383 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_m_2 V_na_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_List_Oupt V_m_2 V_na_2)))))))
% 80.53/80.77  (assume a4384 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_b) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_List_Oupt V_m_2 V_na_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat T_b) V_f_2) (tptp.hAPP (tptp.c_List_Oset tptp.tc_Nat_Onat) (tptp.c_List_Oupt V_m_2 V_na_2)))))))
% 80.53/80.77  (assume a4385 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (V_m_2 $$unsorted) (V_na_2 $$unsorted) (V_i_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_na_2) V_m_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat T_b) V_f_2) (tptp.c_List_Oupt V_m_2 V_na_2))) V_i_2) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_m_2) V_i_2))))))
% 80.53/80.77  (assume a4386 (forall ((V_na_2 $$unsorted) (T_b $$unsorted) (V_xs_2 $$unsorted)) (=> (=> (= V_xs_2 (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b))) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_xs_2))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) V_xs_2) B_i)) V_na_2))) (= (tptp.c_List_Otranspose T_b V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat (tptp.tc_List_Olist tptp.tc_Nat_Onat) (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat T_b) (tptp.tc_fun (tptp.tc_List_Olist tptp.tc_Nat_Onat) (tptp.tc_List_Olist T_b)) tptp.tc_Nat_Onat) (tptp.c_List_Omap tptp.tc_Nat_Onat T_b)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_fun tptp.tc_Nat_Onat T_b) tptp.tc_Nat_Onat) (tptp.c_List_Onth T_b)) (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) V_xs_2))))) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_xs_2)))) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_na_2)))))))
% 80.53/80.77  (assume a4387 (forall ((V_f_2 $$unsorted) (V_xs_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (tptp.c_List_Olinorder__class_Osorted T_c (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)) (=> (= (tptp.hAPP (tptp.c_List_Ohd T_b) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c tptp.tc_HOL_Obool T_b) (tptp.hAPP tptp.c_fequal (tptp.hAPP V_f_2 V_a_2))) V_f_2)) V_xs_2)) V_a_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_a_2) (tptp.c_List_Oremove1 T_b V_a_2 V_xs_2)) V_xs_2)))))))
% 80.53/80.77  (assume a4388 (forall ((T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.c_List_Olist_ONil T_a)))))
% 80.53/80.77  (assume a4389 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Olist_ONil T_a))))))
% 80.53/80.77  (assume a4390 (forall ((V_j $$unsorted) (V_i $$unsorted)) (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.c_List_Oupt V_i V_j))))
% 80.53/80.77  (assume a4391 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.c_List_Olinorder__class_Osort__key T_b T_b (tptp.c_COMBI T_b) V_xs_2)))))
% 80.53/80.77  (assume a4392 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.c_List_Olinorder__class_Oinsort__insert__key T_b T_b (tptp.c_COMBI T_b) V_x_2 V_xs_2))))))
% 80.53/80.77  (assume a4393 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.c_List_Olinorder__class_Osorted T_a V_xs) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_n) V_xs))))))
% 80.53/80.77  (assume a4394 (forall ((V_j $$unsorted) (V_i $$unsorted)) (tptp.c_List_Olinorder__class_Osorted tptp.tc_Int_Oint (tptp.c_List_Oupto V_i V_j))))
% 80.53/80.77  (assume a4395 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.c_List_Olinorder__class_Osorted T_a V_xs) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_n) V_xs))))))
% 80.53/80.77  (assume a4396 (forall ((V_a $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.c_List_Olinorder__class_Osorted T_a V_xs) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.c_List_Oremove1 T_a V_a V_xs))))))
% 80.53/80.77  (assume a4397 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.c_List_Olinorder__class_Osorted T_a V_xs) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.hAPP (tptp.c_List_Otl T_a) V_xs))))))
% 80.53/80.77  (assume a4398 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_x_2) V_xs_2)) (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2)))))
% 80.53/80.77  (assume a4399 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (=> (tptp.c_List_Olinorder__class_Osorted T_a V_xs) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.c_List_Obutlast T_a V_xs)))))))
% 80.53/80.77  (assume a4400 (forall ((T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.c_List_Olist_ONil T_a)))))
% 80.53/80.77  (assume a4401 (forall ((V_zs_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_zs_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) V_y_2)) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_zs_2)))))))
% 80.53/80.77  (assume a4402 (forall ((V_zs $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y)) (=> (tptp.c_List_Olinorder__class_Osorted T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_zs)) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_zs))))))))
% 80.53/80.77  (assume a4403 (forall ((V_l $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.c_List_Olinorder__class_Osorted T_a V_l) (tptp.c_List_Olinorder__class_Osorted T_a (tptp.c_List_Oremdups T_a V_l))))))
% 80.53/80.77  (assume a4404 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (=> (tptp.c_List_Olinorder__class_Osorted T_b V_ys_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_ys_2)) (=> (= (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_ys_2)) (= V_xs_2 V_ys_2)))))))))
% 80.53/80.77  (assume a4405 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Olinorder__class_Osort__key T_c T_b V_f_2 V_xs_2))))))
% 80.53/80.77  (assume a4406 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Olinorder__class_Oinsort__insert__key T_c T_b V_f_2 V_x_2 V_xs_2)))))))
% 80.53/80.77  (assume a4407 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Oremove1 T_c V_x_2 V_xs_2)))))))
% 80.53/80.77  (assume a4408 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) V_xs_2))) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))))))
% 80.53/80.77  (assume a4409 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.c_List_Ofilter T_c V_Pa_2) V_xs_2)))))))
% 80.53/80.77  (assume a4410 (forall ((V_xs_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.c_List_Ofilter T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) tptp.c_fequal) V_f_2)) (tptp.hAPP V_g_2 V_xs_2))) V_xs_2))))))
% 80.53/80.77  (assume a4411 (forall ((V_xs_2 $$unsorted) (V_g_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.hAPP V_g_2 V_xs_2))) V_xs_2)))))
% 80.53/80.77  (assume a4412 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (and (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) B_x)))))))))
% 80.53/80.77  (assume a4413 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (and (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (tptp.c_List_Olinorder__class_Osorted T_b V_ys_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) (tptp.hAPP (tptp.c_List_Oset T_b) V_ys_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) B_x) B_xa)))))))))))
% 80.53/80.77  (assume a4414 (forall ((V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (= (tptp.hAPP (tptp.c_List_Ofilter T_c V_Pa_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_c T_b V_f_2) V_x_2) (tptp.hAPP (tptp.c_List_Ofilter T_c V_Pa_2) V_xs_2))))))))
% 80.53/80.77  (assume a4415 (forall ((V_a1_2 $$unsorted) (V_a2_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a2_2) V_a1_2)) (and (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_a1_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_a2_2) B_x)))) (tptp.c_List_Olinorder__class_Osorted T_b V_a1_2))))))
% 80.53/80.77  (assume a4416 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (and (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b V_A_2)) V_A_2) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.c_List_Olinorder__class_Osorted__list__of__set T_b V_A_2))))))))
% 80.53/80.77  (assume a4417 (forall ((V_xs_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_b (tptp.c_COMBI T_b)) V_a_2) (tptp.c_List_Oremove1 T_b V_a_2 V_xs_2)) V_xs_2))))))
% 80.53/80.77  (assume a4418 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.c_List_Olinorder__class_Osorted T_a V_xs) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_j)))))))))
% 80.53/80.77  (assume a4419 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (forall ((B_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_j) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_i) B_j)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_j)))))))))))
% 80.53/80.77  (assume a4420 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_ys_2))) (=> (tptp.c_List_Olinorder__class_Osorted T_c (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2))) (=> (tptp.c_List_Olinorder__class_Osorted T_c (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_ys_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_ys_2))) (=> (= (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_ys_2)) (= V_xs_2 V_ys_2))))))))))
% 80.53/80.77  (assume a4421 (forall ((V_i_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_List_Orev tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) V_xs_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_xs_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat T_b) (tptp.c_List_Onth T_b)) V_i_2)) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) (tptp.c_List_Otranspose T_b V_xs_2))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) V_xs_2) V_i_2))))))
% 80.53/80.77  (assume a4422 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_List_Orev tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) V_xs_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Otranspose T_b V_xs_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) V_xs_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) (tptp.c_List_Otranspose T_b V_xs_2)) V_i_2)) V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) V_xs_2) V_j_2)) V_i_2)))))))
% 80.53/80.77  (assume a4423 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) (tptp.c_List_Orev T_b) V_A_2)))
% 80.53/80.77  (assume a4424 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)))))
% 80.53/80.77  (assume a4425 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) (tptp.c_List_Olist_ONil T_b)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4426 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Olist_ONil T_b) (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (= V_xs_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.77  (assume a4427 (forall ((T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.77  (assume a4428 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b)) (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a4429 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b))) (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a4430 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) V_xs) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_ys)) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)))))
% 80.53/80.77  (assume a4431 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_b) (tptp.c_List_Oconcat T_b V_xs_2)) (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Orev T_b)) (tptp.hAPP (tptp.c_List_Orev (tptp.tc_List_Olist T_b)) V_xs_2))))))
% 80.53/80.77  (assume a4432 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.hAPP (tptp.c_List_Orev T_c) V_xs_2)))))
% 80.53/80.77  (assume a4433 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_b) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)))))
% 80.53/80.77  (assume a4434 (forall ((V_ys $$unsorted) (T_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_ys)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.hAPP (tptp.c_List_Orev T_b) V_ys)) (tptp.hAPP (tptp.c_List_Orev (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) V_xs) V_ys))))))
% 80.53/80.77  (assume a4435 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))
% 80.53/80.77  (assume a4436 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) (tptp.hAPP (tptp.c_List_Orev T_c) V_ys_2)) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 V_ys_2))))
% 80.53/80.77  (assume a4437 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) V_ys_2) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_xs_2 (tptp.hAPP (tptp.c_List_Orev T_c) V_ys_2)))))
% 80.53/80.77  (assume a4438 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) V_xs)))
% 80.53/80.77  (assume a4439 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) V_ys_2) (= V_xs_2 (tptp.hAPP (tptp.c_List_Orev T_b) V_ys_2)))))
% 80.53/80.77  (assume a4440 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) (tptp.hAPP (tptp.c_List_Orev T_b) V_ys_2)) (= V_xs_2 V_ys_2))))
% 80.53/80.77  (assume a4441 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_a) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_a) V_xs)))))
% 80.53/80.77  (assume a4442 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))))
% 80.53/80.77  (assume a4443 (forall ((V_xs_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c V_f_2 V_a_2) V_xs_2) (tptp.c_List_Ofoldr T_c T_b (tptp.hAPP (tptp.c_COMBC T_b T_c T_b) V_f_2) (tptp.hAPP (tptp.c_List_Orev T_c) V_xs_2) V_a_2))))
% 80.53/80.77  (assume a4444 (forall ((V_a_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Ofoldr T_c T_b V_f_2 V_xs_2 V_a_2) (tptp.hAPP (tptp.c_List_Ofoldl T_b T_c (tptp.hAPP (tptp.c_COMBC T_c T_b T_b) V_f_2) V_a_2) (tptp.hAPP (tptp.c_List_Orev T_c) V_xs_2)))))
% 80.53/80.77  (assume a4445 (forall ((V_ys_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2)) (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.hAPP (tptp.c_List_Orev T_b) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) (tptp.c_List_Olist_ONil T_b)))))))
% 80.53/80.77  (assume a4446 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Olist_ONil T_a))))))
% 80.53/80.77  (assume a4447 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.c_List_Olast T_a V_xs)))))
% 80.53/80.77  (assume a4448 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (=> (not (= V_xs (tptp.c_List_Olist_ONil T_a))) (= (tptp.c_List_Olast T_a (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.hAPP (tptp.c_List_Ohd T_a) V_xs)))))
% 80.53/80.77  (assume a4449 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_List_Orev tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) (tptp.c_List_Otranspose T_b V_xs_2))))))
% 80.53/80.77  (assume a4450 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2) (tptp.hAPP (tptp.c_List_Ofoldl (tptp.tc_List_Olist T_b) T_b (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_OCons T_b)) (tptp.c_List_Olist_ONil T_b)) V_xs_2))))
% 80.53/80.77  (assume a4451 (forall ((V_xs $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_i) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_i)) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)))))
% 80.53/80.77  (assume a4452 (forall ((V_xs $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_i) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_i)) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)))))
% 80.53/80.77  (assume a4453 (forall ((V_xs $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orotate T_a V_n) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.c_List_Orotate T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat V_n (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)))) V_xs)))))
% 80.53/80.77  (assume a4454 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.hAPP tptp.c_Nat_OSuc V_n)))))))
% 80.53/80.77  (assume a4455 (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a V_xs) V_k) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist__update T_a (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) V_k)) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) V_y)))))
% 80.53/80.77  (assume a4456 (forall ((V_j $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (tptp.c_List_Olinorder__class_Osorted T_a (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_i) V_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_j)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) V_i)))))))))
% 80.53/80.77  (assume a4457 (forall ((V_y_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (and (=> (= V_xs_2 (tptp.c_List_Olist_ONil T_b)) (= (tptp.c_List_Ofoldr T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_xs_2 V_y_2) V_y_2)) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (= (tptp.c_List_Ofoldr T_b T_b (tptp.c_Orderings_Oord__class_Omax T_b) V_xs_2 V_y_2) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omax T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_y_2))))))))
% 80.53/80.77  (assume a4458 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_List_Orev tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) V_xs_2))) (and (=> (= V_xs_2 (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Otranspose T_b V_xs_2)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_b)))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.c_List_Otranspose T_b V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) V_xs_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))))
% 80.53/80.77  (assume a4459 (forall ((V_i_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_List_Orev tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) V_xs_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) V_xs_2))) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.c_List_Ofilter (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i_2)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)))) (tptp.c_List_Otranspose T_b V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth (tptp.tc_List_Olist T_b)) V_xs_2) V_i_2)))))))
% 80.53/80.77  (assume a4460 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_List_Olinorder__class_Osorted tptp.tc_Nat_Onat (tptp.hAPP (tptp.c_List_Orev tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap (tptp.tc_List_Olist T_b) tptp.tc_Nat_Onat) (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b))) V_xs_2))) (= (tptp.c_List_Otranspose T_b (tptp.c_List_Otranspose T_b V_xs_2)) (tptp.c_List_OtakeWhile (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool (tptp.tc_List_Olist T_b)) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b) tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_List_Olist_ONil T_b))) V_xs_2)))))
% 80.53/80.77  (assume a4461 (= (tptp.c_List_Olist_ONil tptp.tc_Nat_Onat) (tptp.c_List_Oreturn__list (tptp.c_List_Olist_ONil tptp.tc_Int_Oint))))
% 80.53/80.77  (assume a4462 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))))))
% 80.53/80.77  (assume a4463 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))
% 80.53/80.77  (assume a4464 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2) V_xs_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.77  (assume a4465 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))))))
% 80.53/80.77  (assume a4466 (forall ((V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) (tptp.c_List_OtakeWhile T_c V_Pa_2 V_ys_2)) (tptp.c_List_OtakeWhile (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Fun_Ocomp T_c tptp.tc_HOL_Obool (tptp.tc_prod T_b T_c) V_Pa_2) (tptp.c_Product__Type_Osnd T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)))))
% 80.53/80.77  (assume a4467 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)) V_ys_2) (tptp.c_List_OtakeWhile (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.c_Fun_Ocomp T_b tptp.tc_HOL_Obool (tptp.tc_prod T_b T_c) V_Pa_2) (tptp.c_Product__Type_Ofst T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2)))))
% 80.53/80.77  (assume a4468 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_OtakeWhile T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_b tptp.tc_HOL_Obool T_c V_Pa_2) V_f_2) V_xs_2)))))
% 80.53/80.77  (assume a4469 (forall ((V_l_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_l_2))) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)))))
% 80.53/80.77  (assume a4470 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.77  (assume a4471 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.77  (assume a4472 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))) V_xs_2))))
% 80.53/80.77  (assume a4473 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))))))
% 80.53/80.77  (assume a4474 (forall ((V_l_2 $$unsorted)) (= (tptp.c_List_Oreturn__list V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Int_Oint tptp.tc_Nat_Onat) tptp.c_Int_Onat) V_l_2))))
% 80.53/80.77  (assume a4475 (forall ((V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))))))
% 80.53/80.77  (assume a4476 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (V_j_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)) V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_j_2)))))
% 80.53/80.77  (assume a4477 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)))))))))
% 80.53/80.77  (assume a4478 (forall ((T_b $$unsorted) (V_xs_2 $$unsorted)) (=> (not (= V_xs_2 (tptp.c_List_Olist_ONil T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (= (tptp.c_List_OtakeWhile T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) (tptp.c_List_Olast T_b V_xs_2))) V_xs_2) (tptp.c_List_Obutlast T_b V_xs_2))))))
% 80.53/80.77  (assume a4479 (forall ((V_t_2 $$unsorted) (V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.c_List_Orev T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2))) (= (tptp.hAPP (tptp.c_List_Ofilter T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_c) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_t_2)) V_f_2)) V_xs_2) (tptp.c_List_OtakeWhile T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_c) (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) V_t_2)) V_f_2) V_xs_2))))))
% 80.53/80.77  (assume a4480 (forall ((V_l $$unsorted)) (=> (tptp.c_List_Onat__list V_l) (= (tptp.c_List_Oembed__list (tptp.c_List_Oreturn__list V_l)) V_l))))
% 80.53/80.77  (assume a4481 (forall ((V_m $$unsorted) (V_l $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Nat_Onat) V_l) V_m) (tptp.c_List_Oreturn__list (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend tptp.tc_Int_Oint) (tptp.c_List_Oembed__list V_l)) (tptp.c_List_Oembed__list V_m))))))
% 80.53/80.77  (assume a4482 (forall ((V_l_2 $$unsorted)) (= (tptp.c_List_Oembed__list V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat tptp.tc_Int_Oint) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) V_l_2))))
% 80.53/80.77  (assume a4483 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.c_List_OtakeWhile T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_x_2)) (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (tptp.hAPP (tptp.c_List_Orev T_b) (tptp.hAPP (tptp.c_List_Otl T_b) (tptp.c_List_OdropWhile T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_x_2)) V_xs_2))))))))
% 80.53/80.77  (assume a4484 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.c_List_OdropWhile T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_x_2)) (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) (tptp.hAPP (tptp.c_List_Orev T_b) (tptp.c_List_OtakeWhile T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_b tptp.tc_HOL_Obool) tptp.c_fequal) V_x_2)) V_xs_2))))))))
% 80.53/80.78  (assume a4485 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2)) V_xs_2)))
% 80.53/80.78  (assume a4486 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2))))))
% 80.53/80.78  (assume a4487 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2))) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)))))
% 80.53/80.78  (assume a4488 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2) (tptp.c_List_Olist_ONil T_b)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4489 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (= (tptp.c_List_OdropWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.c_List_OdropWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))))))
% 80.53/80.78  (assume a4490 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_OdropWhile T_b V_Pa_2 (tptp.c_List_Olist_ONil T_b)) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.78  (assume a4491 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) V_xs_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2))))))
% 80.53/80.78  (assume a4492 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (not (= (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2) (tptp.c_List_Olist_ONil T_b))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_List_Ohd T_b) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2))))))))
% 80.53/80.78  (assume a4493 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_OdropWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_OdropWhile T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_b tptp.tc_HOL_Obool T_c V_Pa_2) V_f_2) V_xs_2)))))
% 80.53/80.78  (assume a4494 (forall ((V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.c_List_OdropWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2)) V_ys_2))))))
% 80.53/80.78  (assume a4495 (forall ((V_ys_2 $$unsorted) (V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2)) (and (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_y_2) V_ys_2))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_y_2)))))))
% 80.53/80.78  (assume a4496 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_b) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))) V_xs_2))))
% 80.53/80.78  (assume a4497 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (V_j_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2)))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2)) V_j_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))))))))
% 80.53/80.78  (assume a4498 (forall ((V_f_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Omonoid__add T_c) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c))))) (= (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2))) (tptp.hAPP (tptp.c_List_Omonoid__add__class_Olistsum T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_b T_c) V_f_2) V_xs_2)))))))
% 80.53/80.78  (assume a4499 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (forall ((B_i $$unsorted) (B_j $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) B_i) B_j)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_j) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) B_i)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) V_xs) B_j)))))) (tptp.c_List_Olinorder__class_Osorted T_a V_xs)))))
% 80.53/80.78  (assume a4500 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_OdropWhile T_b V_Pa_2 V_xs_2)))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_xs_2)))))
% 80.53/80.78  (assume a4501 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) V_na_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i)))))) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_na_2))))) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) V_na_2) V_xs_2))))))
% 80.53/80.78  (assume a4502 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted) (V_Pa_2 $$unsorted) (V_j_2 $$unsorted)) (=> (forall ((B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_i) V_j_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_i))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_j_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_xs_2))))))))
% 80.53/80.78  (assume a4503 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (= (tptp.c_List_Olinorder__class_Osorted T_b V_a_2) (or (= V_a_2 (tptp.c_List_Olist_ONil T_b)) (exists ((B_xs $$unsorted) (B_x $$unsorted)) (and (= V_a_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) B_x) B_xs)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) (tptp.hAPP (tptp.c_List_Oset T_b) B_xs))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) B_x) B_xa)))) (tptp.c_List_Olinorder__class_Osorted T_b B_xs))))))))
% 80.53/80.78  (assume a4504 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.c_List_Oinsert T_b V_x_2 V_xs_2) V_xs_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.c_List_Oinsert T_b V_x_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2))))))
% 80.53/80.78  (assume a4505 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))) (= (tptp.c_List_Oinsert T_b V_x_2 V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)))))
% 80.53/80.78  (assume a4506 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oinsert T_a V_x (tptp.c_List_Oremdups T_a V_xs)) (tptp.c_List_Oremdups T_a (tptp.c_List_Oinsert T_a V_x V_xs)))))
% 80.53/80.78  (assume a4507 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) V_xs)) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_a) (tptp.c_List_Oinsert T_a V_x V_xs))))))
% 80.53/80.78  (assume a4508 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.c_List_Oinsert T_b V_x_2 V_xs_2) V_xs_2))))
% 80.53/80.78  (assume a4509 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oinsert T_b V_x_2 V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2)))))
% 80.53/80.78  (assume a4510 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oinsert T_a V_x (tptp.c_List_Olist_ONil T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Olist_ONil T_a)))))
% 80.53/80.78  (assume a4511 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Omaps T_c T_b V_f_2 V_xs_2) (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c (tptp.tc_List_Olist T_b)) V_f_2) V_xs_2)))))
% 80.53/80.78  (assume a4512 (forall ((V_xs_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oconcat T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c (tptp.tc_List_Olist T_b)) V_f_2) V_xs_2)) (tptp.c_List_Omaps T_c T_b V_f_2 V_xs_2))))
% 80.53/80.78  (assume a4513 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Omaps T_c T_b V_f_2 (tptp.c_List_Olist_ONil T_c)) (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.78  (assume a4514 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_List_Omaps T_c T_b V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_c) V_x_2) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.c_List_Omaps T_c T_b V_f_2 V_xs_2)))))
% 80.53/80.78  (assume a4515 (forall ((V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct (tptp.tc_List_Olist T_b)) V_xs_2)) (=> (forall ((B_ys $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_ys) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) B_ys)))) (=> (forall ((B_ys $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_ys) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xs_2))) (forall ((B_zs $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_zs) (tptp.hAPP (tptp.c_List_Oset (tptp.tc_List_Olist T_b)) V_xs_2))) (=> (not (= B_ys B_zs)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_List_Oset T_b) B_ys)) (tptp.hAPP (tptp.c_List_Oset T_b) B_zs)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) (tptp.c_List_Oconcat T_b V_xs_2))))))))
% 80.53/80.78  (assume a4516 (forall ((V_fs_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_List_Omeasures T_b V_fs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_List_Omeasures T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_fun T_b tptp.tc_Nat_Onat)) V_f_2) V_fs_2))))))))
% 80.53/80.78  (assume a4517 (forall ((V_fs_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Wellfounded_Owf T_b (tptp.c_List_Omeasures T_b V_fs_2))))
% 80.53/80.78  (assume a4518 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_List_Omeasures T_b (tptp.c_List_Olist_ONil (tptp.tc_fun T_b tptp.tc_Nat_Onat))))))))
% 80.53/80.78  (assume a4519 (forall ((V_fs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Omeasures T_b V_fs_2) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image (tptp.tc_List_Olist tptp.tc_Nat_Onat) T_b) (tptp.c_List_Olex tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_List_Olist (tptp.tc_fun T_b tptp.tc_Nat_Onat)) (tptp.tc_List_Olist tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_Nat_Onat) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_List_Olist (tptp.tc_fun T_b tptp.tc_Nat_Onat)) (tptp.tc_List_Olist tptp.tc_Nat_Onat)) T_b) (tptp.c_List_Omap (tptp.tc_fun T_b tptp.tc_Nat_Onat) tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_Nat_Onat) T_b tptp.tc_Nat_Onat) (tptp.c_COMBI (tptp.tc_fun T_b tptp.tc_Nat_Onat))))) V_fs_2)))))
% 80.53/80.78  (assume a4520 (forall ((V_fs_2 $$unsorted) (V_f_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_List_Omeasures T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_fun T_b tptp.tc_Nat_Onat)) V_f_2) V_fs_2)))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) (and (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_List_Omeasures T_b V_fs_2))))))))
% 80.53/80.78  (assume a4521 (forall ((V_fs_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_x_2) V_y_2)) (tptp.c_List_Omeasures T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons (tptp.tc_fun T_b tptp.tc_Nat_Onat)) V_f_2) V_fs_2)))))))
% 80.53/80.78  (assume a4522 (forall ((V_s_2 $$unsorted) (V_g_2 $$unsorted) (V_h_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_d $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_d T_d T_c (tptp.hAPP V_f_2 B_x)) V_h_2) (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_c V_h_2) (tptp.hAPP V_g_2 B_x))))) (= (tptp.hAPP (tptp.c_List_Ofoldl T_d T_b (tptp.hAPP (tptp.c_COMBC T_b T_d T_d) V_f_2) (tptp.hAPP V_h_2 V_s_2)) V_xs_2) (tptp.hAPP V_h_2 (tptp.hAPP (tptp.c_List_Ofoldl T_c T_b (tptp.hAPP (tptp.c_COMBC T_b T_c T_c) V_g_2) V_s_2) V_xs_2))))))
% 80.53/80.78  (assume a4523 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Orderings_Oorder T_c) (tptp.class_Enum_Oenum T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2)) V_g_2)))))))))
% 80.53/80.78  (assume a4524 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Enum_Oenum T_c) (tptp.class_Enum_Oenum T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex (tptp.tc_prod T_b T_c)) V_Pa_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_Enum_Oenum__class_Oenum__ex T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool T_c) V_Pa_2)) (tptp.c_Product__Type_OPair T_b T_c)))))))))
% 80.53/80.78  (assume a4525 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Enum_Oenum T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex T_b) V_Pa_2)) (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1)))))))
% 80.53/80.78  (assume a4526 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Enum_Oenum T_b) (= (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__ex T_b) V_Pa_2))))))
% 80.53/80.78  (assume a4527 (forall ((V_Pa_2 $$unsorted) (V_ys_2 $$unsorted) (T_c $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2))) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2))) V_ys_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2))) V_xs_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_ys_2))) V_ys_2))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_b T_c) V_xs_2) V_ys_2))))))
% 80.53/80.78  (assume a4528 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_R_2 $$unsorted)) (= (tptp.c_New__Random__Sequence_Opos__not__random__dseq V_R_2 V_nrandom_2 V_size_2 V_seed_2) (tptp.c_New__DSequence_Opos__not__seq (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R_2 V_nrandom_2) V_size_2) V_seed_2)))))
% 80.53/80.78  (assume a4529 (forall ((V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (= (tptp.c_List_OdropWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.c_List_OdropWhile T_b V_Pa_2 V_ys_2)))))
% 80.53/80.78  (assume a4530 (forall ((V_Pa_2 $$unsorted) (V_b_2 $$unsorted) (T_c $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_a_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_b_2)) (=> (forall ((B_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_a_2) B_n)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_c) V_b_2) B_n))))) (tptp.c_List_Olist__all2 T_b T_c V_Pa_2 V_a_2 V_b_2)))))
% 80.53/80.78  (assume a4531 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (exists ((B_x $$unsorted)) (and (= (tptp.hAPP (tptp.c_List_Oset T_b) B_x) V_A_2) (tptp.c_List_Olinorder__class_Osorted T_b B_x) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) B_x)) (forall ((B_y $$unsorted)) (=> (and (= (tptp.hAPP (tptp.c_List_Oset T_b) B_y) V_A_2) (tptp.c_List_Olinorder__class_Osorted T_b B_y) (tptp.hBOOL (tptp.hAPP (tptp.c_List_Odistinct T_b) B_y))) (= B_y B_x)))))))))
% 80.53/80.78  (assume a4532 (forall ((V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (= (tptp.c_List_OtakeWhile T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) (tptp.c_List_OtakeWhile T_b V_Pa_2 V_ys_2))))))
% 80.53/80.78  (assume a4533 (forall ((V_a_2 $$unsorted) (V_f_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_c) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_c) (tptp.hAPP V_f_2 V_a_2)) (tptp.hAPP V_f_2 B_x))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olinorder__class_Oinsort__key T_b T_c V_f_2) V_a_2) V_xs_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_a_2) V_xs_2))))))
% 80.53/80.78  (assume a4534 (forall ((V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2) (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_ys_2)) (exists ((B_us $$unsorted) (B_vs $$unsorted)) (and (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_us) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) B_vs))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) B_us))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (= V_xs_2 (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) B_vs)))))))
% 80.53/80.78  (assume a4535 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_ys_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) V_ys_2) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (exists ((B_us $$unsorted) (B_vs $$unsorted)) (and (= V_ys_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_us) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) B_vs))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) B_us))) (not (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (= V_xs_2 (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) B_vs)))))))
% 80.53/80.78  (assume a4536 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Orderings_Oorder T_c) (tptp.class_Enum_Oenum T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b T_c)) V_f_2) V_g_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.c_Orderings_Oord__class_Oless__eq T_c)) V_f_2)) V_g_2)))))))
% 80.53/80.78  (assume a4537 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Enum_Oenum T_b) (= (forall ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all T_b) V_Pa_2))))))
% 80.53/80.78  (assume a4538 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Enum_Oenum T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all T_b) V_Pa_2)) (forall ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1)))))))
% 80.53/80.78  (assume a4539 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Enum_Oenum T_c) (tptp.class_Enum_Oenum T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all (tptp.tc_prod T_b T_c)) V_Pa_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Enum_Oenum__class_Oenum__all T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_Enum_Oenum__class_Oenum__all T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool T_c) V_Pa_2)) (tptp.c_Product__Type_OPair T_b T_c)))))))))
% 80.53/80.78  (assume a4540 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_na_2) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) V_na_2)))))))
% 80.53/80.78  (assume a4541 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_b) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_b) V_x_2) B_x)))) (=> (tptp.c_List_Olinorder__class_Osorted T_b V_xs_2) (tptp.c_List_Olinorder__class_Osorted T_b (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)))))))
% 80.53/80.78  (assume a4542 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex T_b V_Pa_2 V_xs_2) (exists ((B_n $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_n))))))))
% 80.53/80.78  (assume a4543 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (exists ((B_ys $$unsorted) (B_zs $$unsorted)) (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_ys) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) B_zs)))))))
% 80.53/80.78  (assume a4544 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (not (tptp.c_List_Olist__ex T_b V_Pa_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.78  (assume a4545 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (or (tptp.c_List_Olist__ex T_b V_Pa_2 V_xs_2) (tptp.c_List_Olist__ex T_b V_Pa_2 V_ys_2)))))
% 80.53/80.78  (assume a4546 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex T_b V_Pa_2 V_xs_2) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4547 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex T_b V_Pa_2 (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (tptp.c_List_Olist__ex T_b V_Pa_2 V_xs_2))))
% 80.53/80.78  (assume a4548 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (or (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (tptp.c_List_Olist__ex T_b V_Pa_2 V_xs_2)))))
% 80.53/80.78  (assume a4549 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (exists ((B_ys $$unsorted)) (and (exists ((B_zs $$unsorted)) (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_ys) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) B_zs)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) B_ys)))))))))
% 80.53/80.78  (assume a4550 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (exists ((B_ys $$unsorted) (B_zs $$unsorted)) (and (= V_xs_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) B_ys) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) B_zs))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) B_zs)))))))))
% 80.53/80.78  (assume a4551 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all T_b V_Pa_2 V_xs_2) (forall ((B_n $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) B_n) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_b) V_xs_2) B_n))))))))
% 80.53/80.78  (assume a4552 (tptp.c_FunDef_Ois__measure tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.tc_Int_Oint tptp.c_Int_Onat) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint))))
% 80.53/80.78  (assume a4553 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (tptp.c_List_Olist__all T_b V_Pa_2 (tptp.c_List_Olist_ONil T_b))))
% 80.53/80.78  (assume a4554 (forall ((V_ys_2 $$unsorted) (V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_b) V_xs_2) V_ys_2)) (and (tptp.c_List_Olist__all T_b V_Pa_2 V_xs_2) (tptp.c_List_Olist__all T_b V_Pa_2 V_ys_2)))))
% 80.53/80.78  (assume a4555 (forall ((T_b $$unsorted)) (=> (tptp.class_Nat_Osize T_b) (tptp.c_FunDef_Ois__measure T_b (tptp.c_Nat_Osize__class_Osize T_b)))))
% 80.53/80.78  (assume a4556 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (tptp.c_FunDef_Ois__measure T_b V_a_2)))
% 80.53/80.78  (assume a4557 (forall ((V_a_2 $$unsorted) (T_b $$unsorted)) (tptp.c_FunDef_Ois__measure T_b V_a_2)))
% 80.53/80.78  (assume a4558 (forall ((V_f_2 $$unsorted) (T_b $$unsorted)) (tptp.c_FunDef_Ois__measure T_b V_f_2)))
% 80.53/80.78  (assume a4559 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all T_b V_Pa_2 V_xs_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4560 (forall ((T_c $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_FunDef_Ois__measure T_b V_f_2) (tptp.c_FunDef_Ois__measure (tptp.tc_prod T_b T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b tptp.tc_Nat_Onat (tptp.tc_prod T_b T_c)) V_f_2) (tptp.c_Product__Type_Ofst T_b T_c))))))
% 80.53/80.78  (assume a4561 (forall ((T_c $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_FunDef_Ois__measure T_b V_f_2) (tptp.c_FunDef_Ois__measure (tptp.tc_prod T_c T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b tptp.tc_Nat_Onat (tptp.tc_prod T_c T_b)) V_f_2) (tptp.c_Product__Type_Osnd T_c T_b))))))
% 80.53/80.78  (assume a4562 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all T_b V_Pa_2 (tptp.hAPP (tptp.c_List_Orev T_b) V_xs_2)) (tptp.c_List_Olist__all T_b V_Pa_2 V_xs_2))))
% 80.53/80.78  (assume a4563 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (and (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (tptp.c_List_Olist__all T_b V_Pa_2 V_xs_2)))))
% 80.53/80.78  (assume a4564 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (tptp.c_List_Olist__all T_b V_Pa_2 V_xs_2))))
% 80.53/80.78  (assume a4565 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__all T_b V_Pa_2 V_xs_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4566 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex1 T_b V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) (and (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (tptp.c_List_Olist__all T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fdisj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot) V_Pa_2))) (tptp.hAPP tptp.c_fequal V_x_2)) V_xs_2)) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (tptp.c_List_Olist__ex1 T_b V_Pa_2 V_xs_2))))))
% 80.53/80.78  (assume a4567 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Nat_Onat tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint) (tptp.hAPP (tptp.c_COMBK tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fTrue)))
% 80.53/80.78  (assume a4568 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (not (tptp.c_List_Olist__ex1 T_b V_Pa_2 (tptp.c_List_Olist_ONil T_b)))))
% 80.53/80.78  (assume a4569 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool) tptp.c_fFalse) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.78  (assume a4570 (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool) tptp.c_fTrue) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))
% 80.53/80.78  (assume a4571 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex1 T_b V_Pa_2 V_xs_2) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (forall ((B_y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_y))) (= B_y B_x))))))))
% 80.53/80.78  (assume a4572 (forall ((V_f_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_i_2 $$unsorted)) (and (=> (= V_i_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind T_c T_b V_x_2 V_f_2) V_i_2) (tptp.c_Lazy__Sequence_Ohit__bound T_b))) (=> (not (= V_i_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__decr__bind T_c T_b V_x_2 V_f_2) V_i_2) (tptp.c_Lazy__Sequence_Ohb__bind T_c T_b (tptp.hAPP V_x_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b))) V_f_2) V_i_2)))))))
% 80.53/80.78  (assume a4573 (forall ((V_f_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_i_2 $$unsorted)) (and (=> (= V_i_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind T_c T_b V_x_2 V_f_2) V_i_2) (tptp.c_Lazy__Sequence_Oempty T_b))) (=> (not (= V_i_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__decr__bind T_c T_b V_x_2 V_f_2) V_i_2) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind T_c T_b (tptp.hAPP V_x_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)) V_f_2) V_i_2)))))))
% 80.53/80.78  (assume a4574 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_f_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_New__Random__Sequence_Oneg__decr__bind T_c T_b V_R_2 V_f_2 V_nrandom_2 V_size_2 V_seed_2) (tptp.c_New__DSequence_Oneg__decr__bind T_c T_b (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R_2 V_nrandom_2) V_size_2) V_seed_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b)))))) V_f_2) V_nrandom_2)) V_size_2)) V_seed_2)))))
% 80.53/80.78  (assume a4575 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_f_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_New__Random__Sequence_Opos__decr__bind T_c T_b V_R_2 V_f_2 V_nrandom_2 V_size_2 V_seed_2) (tptp.c_New__DSequence_Opos__decr__bind T_c T_b (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R_2 V_nrandom_2) V_size_2) V_seed_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))))) V_f_2) V_nrandom_2)) V_size_2)) V_seed_2)))))
% 80.53/80.78  (assume a4576 (forall ((V_i_2 $$unsorted) (V_f_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__bind T_c T_b V_x_2 V_f_2) V_i_2) (tptp.c_Lazy__Sequence_Ohb__bind T_c T_b (tptp.hAPP V_x_2 V_i_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b))) V_f_2) V_i_2)))))
% 80.53/80.78  (assume a4577 (forall ((V_i_1 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__empty T_a) V_i_1) (tptp.c_Lazy__Sequence_Oempty T_a))))
% 80.53/80.78  (assume a4578 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_New__Random__Sequence_Opos__empty T_b V_nrandom_2 V_size_2 V_seed_2) (tptp.c_New__DSequence_Opos__empty T_b))))
% 80.53/80.78  (assume a4579 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_f_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__bind T_c T_b V_R_2 V_f_2) V_nrandom_2) V_size_2) V_seed_2) (tptp.c_New__DSequence_Oneg__bind T_c T_b (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R_2 V_nrandom_2) V_size_2) V_seed_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b)))))) V_f_2) V_nrandom_2)) V_size_2)) V_seed_2)))))
% 80.53/80.78  (assume a4580 (forall ((V_i_2 $$unsorted) (V_f_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__bind T_c T_b V_x_2 V_f_2) V_i_2) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind T_c T_b (tptp.hAPP V_x_2 V_i_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)) V_f_2) V_i_2)))))
% 80.53/80.78  (assume a4581 (forall ((V_Pa_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_New__Random__Sequence_Oneg__map T_c T_b V_f_2 V_Pa_2) (tptp.c_New__Random__Sequence_Oneg__bind T_c T_b V_Pa_2 (tptp.hAPP (tptp.c_Fun_Ocomp T_b (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_Option_Ooption T_b)))))) T_c (tptp.c_New__Random__Sequence_Oneg__single T_b)) V_f_2)))))
% 80.53/80.78  (assume a4582 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Oneg__single T_b) V_x_2) V_nrandom_2) V_size_2) V_seed_2) (tptp.c_New__DSequence_Oneg__single T_b V_x_2))))
% 80.53/80.78  (assume a4583 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_f_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__bind T_c T_b V_R_2 V_f_2) V_nrandom_2) V_size_2) V_seed_2) (tptp.c_New__DSequence_Opos__bind T_c T_b (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R_2 V_nrandom_2) V_size_2) V_seed_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))))) V_f_2) V_nrandom_2)) V_size_2)) V_seed_2)))))
% 80.53/80.78  (assume a4584 (forall ((V_i_1 $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_New__DSequence_Oneg__single T_a V_x) V_i_1) (tptp.c_Lazy__Sequence_Ohb__single T_a V_x))))
% 80.53/80.78  (assume a4585 (forall ((V_Pa_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_New__Random__Sequence_Opos__map T_c T_b V_f_2 V_Pa_2) (tptp.c_New__Random__Sequence_Opos__bind T_c T_b V_Pa_2 (tptp.hAPP (tptp.c_Fun_Ocomp T_b (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))))) T_c (tptp.c_New__Random__Sequence_Opos__single T_b)) V_f_2)))))
% 80.53/80.78  (assume a4586 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_New__Random__Sequence_Opos__single T_b) V_x_2) V_nrandom_2) V_size_2) V_seed_2) (tptp.c_New__DSequence_Opos__single T_b V_x_2))))
% 80.53/80.78  (assume a4587 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.c_List_Osplice T_a V_xs V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_xs)) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) V_ys)))))
% 80.53/80.78  (assume a4588 (forall ((V_ys $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osplice T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) V_ys)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_y) (tptp.c_List_Osplice T_a V_xs V_ys))))))
% 80.53/80.78  (assume a4589 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osplice T_a (tptp.c_List_Olist_ONil T_a) V_ys) V_ys)))
% 80.53/80.78  (assume a4590 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osplice T_a V_xs (tptp.c_List_Olist_ONil T_a)) V_xs)))
% 80.53/80.78  (assume a4591 (forall ((V_va $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osplice T_a (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_v) V_va) (tptp.c_List_Olist_ONil T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_v) V_va))))
% 80.53/80.78  (assume a4592 (forall ((V_i_1 $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__single T_a V_x) V_i_1) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle T_a) V_x))))
% 80.53/80.78  (assume a4593 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Oacyclic T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) (tptp.c_Predicate_Oconversep T_b T_b V_r_2)))) (tptp.c_Wellfounded_Oacyclic T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) V_r_2))))))
% 80.53/80.78  (assume a4594 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Predicate_Oconversep T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Predicate_Oconversep T_c T_b V_r_2)) (tptp.c_Predicate_Oconversep T_c T_b V_s_2)))))
% 80.53/80.78  (assume a4595 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Predicate_Oconversep T_c T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Predicate_Oconversep T_c T_b V_r_2)) (tptp.c_Predicate_Oconversep T_c T_b V_s_2)))))
% 80.53/80.78  (assume a4596 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Predicate_Oconversep T_c T_b (tptp.c_Predicate_Opred__comp T_c T_d T_b V_r_2 V_s_2)) (tptp.c_Predicate_Opred__comp T_b T_d T_c (tptp.c_Predicate_Oconversep T_d T_b V_s_2) (tptp.c_Predicate_Oconversep T_c T_d V_r_2)))))
% 80.53/80.78  (assume a4597 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep T_b T_c V_r_2) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_b_2) V_a_2)))))
% 80.53/80.78  (assume a4598 (forall ((T_c $$unsorted) (T_b $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep T_b T_c V_r_2) V_b_2) V_a_2)))))
% 80.53/80.78  (assume a4599 (forall ((V_a1_2 $$unsorted) (V_a2_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep T_b T_c V_r_2) V_a2_2) V_a1_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_a1_2) V_a2_2)))))
% 80.53/80.78  (assume a4600 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep T_b T_c V_r_2) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_b_2) V_a_2)))))
% 80.53/80.78  (assume a4601 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Predicate_Oconversep T_c T_b (tptp.c_Predicate_Oconversep T_b T_c V_r_2)) V_r_2)))
% 80.53/80.78  (assume a4602 (forall ((T_b $$unsorted)) (= (tptp.c_Predicate_Oconversep T_b T_b tptp.c_fequal) tptp.c_fequal)))
% 80.53/80.78  (assume a4603 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep T_b T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_b) tptp.c_fNot)) tptp.c_fequal)) V_x_2) V_y_2)) (not (= V_x_2 V_y_2)))))
% 80.53/80.78  (assume a4604 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep T_b T_c (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_b T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_c) (tptp.c_member (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))) V_r_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_c) V_r_2))))))
% 80.53/80.78  (assume a4605 (forall ((V_s2_2 $$unsorted) (V_s1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Lazy__Sequence_Oproduct T_b T_c V_s1_2 V_s2_2) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind T_b (tptp.tc_prod T_b T_c) V_s1_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_prod T_b T_c))) (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_prod T_b T_c)) T_b) (tptp.c_Lazy__Sequence_Obind T_c (tptp.tc_prod T_b T_c) V_s2_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c (tptp.tc_prod T_b T_c)) (tptp.tc_fun T_c (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_prod T_b T_c))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_prod T_b T_c) (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_prod T_b T_c)) T_c) (tptp.c_Lazy__Sequence_Osingle (tptp.tc_prod T_b T_c)))) (tptp.c_Product__Type_OPair T_b T_c)))))))
% 80.53/80.78  (assume a4606 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_List_Otl T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) (tptp.c_List_Oreplicate T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_n) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_x)))))
% 80.53/80.78  (assume a4607 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Oreplicate T_b (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP tptp.c_fequal V_x_2)) V_xs_2)) V_x_2) (tptp.hAPP (tptp.c_List_Ofilter T_b (tptp.hAPP tptp.c_fequal V_x_2)) V_xs_2))))
% 80.53/80.78  (assume a4608 (forall ((V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_a)) (tptp.c_List_Oreplicate T_a V_n V_x)) V_n)))
% 80.53/80.78  (assume a4609 (forall ((V_lst_2 $$unsorted) (V_k_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) (tptp.hAPP (tptp.c_COMBK T_b T_c) V_k_2)) V_lst_2) (tptp.c_List_Oreplicate T_b (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_c)) V_lst_2) V_k_2))))
% 80.53/80.78  (assume a4610 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) V_xs)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) V_xs)))))
% 80.53/80.78  (assume a4611 (forall ((V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oreplicate T_a (tptp.hAPP tptp.c_Nat_OSuc V_n) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Oreplicate T_a V_n V_x)))))
% 80.53/80.78  (assume a4612 (forall ((V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) (tptp.c_List_Oreplicate T_a V_n V_x))))
% 80.53/80.78  (assume a4613 (forall ((V_x $$unsorted) (V_k $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Odrop T_a) V_i) (tptp.c_List_Oreplicate T_a V_k V_x)) (tptp.c_List_Oreplicate T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_k) V_i) V_x))))
% 80.53/80.78  (assume a4614 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_List_Ohd T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) V_x))))
% 80.53/80.78  (assume a4615 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (=> (not (= V_n (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.c_List_Olast T_a (tptp.c_List_Oreplicate T_a V_n V_x)) V_x))))
% 80.53/80.78  (assume a4616 (forall ((V_x $$unsorted) (V_k $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Otake T_a) V_i) (tptp.c_List_Oreplicate T_a V_k V_x)) (tptp.c_List_Oreplicate T_a (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_i) V_k) V_x))))
% 80.53/80.78  (assume a4617 (forall ((V_y $$unsorted) (V_j $$unsorted) (V_x $$unsorted) (V_i $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Ozip T_a T_b) (tptp.c_List_Oreplicate T_a V_i V_x)) (tptp.c_List_Oreplicate T_b V_j V_y)) (tptp.c_List_Oreplicate (tptp.tc_prod T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Omin tptp.tc_Nat_Onat) V_i) V_j) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x) V_y)))))
% 80.53/80.78  (assume a4618 (forall ((V_Pa_2 $$unsorted) (V_a_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oreplicate T_b V_na_2 V_a_2)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (and (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)) (not (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.78  (assume a4619 (forall ((V_Pa_2 $$unsorted) (V_a_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oreplicate T_b V_na_2 V_a_2)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (or (tptp.hBOOL (tptp.hAPP V_Pa_2 V_a_2)) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.78  (assume a4620 (forall ((V_y_2 $$unsorted) (V_na_2 $$unsorted) (V_x_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Oreplicate T_b V_m_2 V_x_2) (tptp.c_List_Oreplicate T_b V_na_2 V_y_2)) (and (= V_m_2 V_na_2) (=> (not (= V_m_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= V_x_2 V_y_2))))))
% 80.53/80.78  (assume a4621 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_i) V_n)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Onth T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) V_i) V_x))))
% 80.53/80.78  (assume a4622 (forall ((V_x $$unsorted) (V_m $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oreplicate T_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_n) V_m) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) (tptp.c_List_Oreplicate T_a V_m V_x)))))
% 80.53/80.78  (assume a4623 (forall ((V_k $$unsorted) (V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Oreplicate T_a V_n V_x)) (tptp.c_List_Oreplicate T_a V_k V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Oreplicate T_a V_k V_x)) (tptp.c_List_Oreplicate T_a V_n V_x)))))
% 80.53/80.78  (assume a4624 (forall ((V_na_2 $$unsorted) (T_b $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.c_List_Oreplicate T_b V_na_2 V_x_2)) (tptp.c_List_Oreplicate T_b V_na_2 V_x_2))) (=> (not (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))) (= (tptp.hAPP (tptp.c_List_Ofilter T_b V_Pa_2) (tptp.c_List_Oreplicate T_b V_na_2 V_x_2)) (tptp.c_List_Olist_ONil T_b))))))
% 80.53/80.78  (assume a4625 (forall ((V_i $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oconcat T_a (tptp.c_List_Oreplicate (tptp.tc_List_Olist T_a) V_i (tptp.c_List_Olist_ONil T_a))) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.78  (assume a4626 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oreplicate T_a (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_x) (tptp.c_List_Olist_ONil T_a))))
% 80.53/80.78  (assume a4627 (forall ((V_x_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Olist_ONil T_b) (tptp.c_List_Oreplicate T_b V_na_2 V_x_2)) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.78  (assume a4628 (forall ((V_x_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_List_Oreplicate T_b V_na_2 V_x_2) (tptp.c_List_Olist_ONil T_b)) (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))
% 80.53/80.78  (assume a4629 (forall ((V_x_2 $$unsorted) (V_na_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap T_c T_b) V_f_2) (tptp.c_List_Oreplicate T_c V_na_2 V_x_2)) (tptp.c_List_Oreplicate T_b V_na_2 (tptp.hAPP V_f_2 V_x_2)))))
% 80.53/80.78  (assume a4630 (forall ((V_y_2 $$unsorted) (V_na_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oreplicate T_b V_na_2 V_y_2)))) (and (= V_x_2 V_y_2) (not (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))))))
% 80.53/80.78  (assume a4631 (forall ((V_x $$unsorted) (V_i $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Oappend T_a) (tptp.c_List_Oreplicate T_a V_i V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Olist_ONil T_a))) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_a) V_x) (tptp.c_List_Oreplicate T_a V_i V_x)))))
% 80.53/80.78  (assume a4632 (forall ((V_i_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_List_Omap tptp.tc_Nat_Onat T_b) (tptp.hAPP (tptp.c_COMBK T_b tptp.tc_Nat_Onat) V_x_2)) (tptp.c_List_Oupt (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) V_i_2)) (tptp.c_List_Oreplicate T_b V_i_2 V_x_2))))
% 80.53/80.78  (assume a4633 (forall ((V_x_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted)) (=> (not (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oreplicate T_b V_na_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 80.53/80.78  (assume a4634 (forall ((V_x_2 $$unsorted) (T_b $$unsorted) (V_na_2 $$unsorted)) (and (=> (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oreplicate T_b V_na_2 V_x_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (not (= V_na_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oreplicate T_b V_na_2 V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 80.53/80.78  (assume a4635 (forall ((V_x_2 $$unsorted) (V_na_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Oset T_b) (tptp.c_List_Oreplicate T_b (tptp.hAPP tptp.c_Nat_OSuc V_na_2) V_x_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4636 (forall ((V_d_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Lazy__Sequence_Osmall__lazy T_b) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (tptp.tc_List_Olist T_b) V_d_2) (tptp.c_Lazy__Sequence_Oappend (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle (tptp.tc_List_Olist T_b)) (tptp.c_List_Olist_ONil T_b)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_If (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_d_2)) (tptp.hAPP (tptp.c_Lazy__Sequence_Obind (tptp.tc_prod T_b (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist T_b) (tptp.c_Lazy__Sequence_Oproduct T_b (tptp.tc_List_Olist T_b) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_d_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (tptp.tc_List_Olist T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint) V_d_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b (tptp.tc_List_Olist T_b) (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) (tptp.tc_fun (tptp.tc_List_Olist T_b) (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_List_Olist T_b))) T_b) (tptp.hAPP (tptp.c_COMBB (tptp.tc_List_Olist T_b) (tptp.tc_Lazy__Sequence_Olazy__sequence (tptp.tc_List_Olist T_b)) (tptp.tc_List_Olist T_b)) (tptp.c_Lazy__Sequence_Osingle (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist_OCons T_b))))) (tptp.c_Lazy__Sequence_Oempty (tptp.tc_List_Olist T_b))))))))
% 80.53/80.78  (assume a4637 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Predicate_Opred__comp T_b T_b T_b tptp.c_fequal (tptp.c_Predicate_Opred__comp T_b T_b T_b V_R_2 tptp.c_fequal)) V_R_2)))
% 80.53/80.78  (assume a4638 (forall ((V_d $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy T_a) (tptp.class_Lazy__Sequence_Osmall__lazy T_b)) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy (tptp.tc_prod T_a T_b) V_d) (tptp.c_Lazy__Sequence_Oproduct T_a T_b (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy T_a V_d) (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy T_b V_d))))))
% 80.53/80.78  (assume a4639 (forall ((V_i_2 $$unsorted) (V_yq_2 $$unsorted) (V_xq_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_New__DSequence_Opos__union T_b V_xq_2 V_yq_2) V_i_2) (tptp.c_Lazy__Sequence_Oappend T_b (tptp.hAPP V_xq_2 V_i_2) (tptp.hAPP V_yq_2 V_i_2)))))
% 80.53/80.78  (assume a4640 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Fields_Olinordered__field T_a) (=> (forall ((B_e $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) B_e)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_y) B_e))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq T_a) V_x) V_y))))))
% 80.53/80.78  (assume a4641 (forall ((V_seed_2 $$unsorted) (V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_R2_2 $$unsorted) (V_R1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_New__Random__Sequence_Opos__union T_b V_R1_2 V_R2_2 V_nrandom_2 V_size_2 V_seed_2) (tptp.c_New__DSequence_Opos__union T_b (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R1_2 V_nrandom_2) V_size_2) V_seed_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP V_R2_2 V_nrandom_2) V_size_2) V_seed_2)))))
% 80.53/80.78  (assume a4642 (forall ((V_i $$unsorted) (V_d $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_d) V_i)) (= (tptp.c_Lazy__Sequence_Osmall__lazy_H V_d V_i) (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_d) V_i))) (= (tptp.c_Lazy__Sequence_Osmall__lazy_H V_d V_i) (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint) V_i) (tptp.c_Lazy__Sequence_Osmall__lazy_H V_d (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)))))))))
% 80.53/80.78  (assume a4643 (forall ((V_d $$unsorted)) (= (tptp.c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy tptp.tc_Int_Oint V_d) (tptp.c_Lazy__Sequence_Osmall__lazy_H V_d (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint) V_d)))))
% 80.53/80.78  (assume a4644 (forall ((V_i_2 $$unsorted) (V_d_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Lazy__Sequence_Osmall__lazy_H__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_d_2) V_i_2))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_d_2) V_i_2)) (= (tptp.c_Lazy__Sequence_Osmall__lazy_H V_d_2 V_i_2) (tptp.c_Lazy__Sequence_Oempty tptp.tc_Int_Oint))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) V_d_2) V_i_2))) (= (tptp.c_Lazy__Sequence_Osmall__lazy_H V_d_2 V_i_2) (tptp.c_Lazy__Sequence_Oappend tptp.tc_Int_Oint (tptp.hAPP (tptp.c_Lazy__Sequence_Osingle tptp.tc_Int_Oint) V_i_2) (tptp.c_Lazy__Sequence_Osmall__lazy_H V_d_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) V_i_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))))))))
% 80.53/80.78  (assume a4645 (forall ((V_lazy__sequence $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence T_a)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_a V_a V_lazy__sequence)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence T_a)) V_lazy__sequence)) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.78  (assume a4646 (forall ((V_yq $$unsorted) (V_xq $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lazy__Sequence_Oappend T_a (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_a V_x V_xq) V_yq) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_a V_x (tptp.c_Lazy__Sequence_Oappend T_a V_xq V_yq)))))
% 80.53/80.78  (assume a4647 (forall ((V_lazy__sequence_H_2 $$unsorted) (V_a_H_2 $$unsorted) (V_lazy__sequence_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_b V_a_2 V_lazy__sequence_2) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_b V_a_H_2 V_lazy__sequence_H_2)) (and (= V_a_2 V_a_H_2) (= V_lazy__sequence_2 V_lazy__sequence_H_2)))))
% 80.53/80.78  (assume a4648 (forall ((V_lazy__sequence_2 $$unsorted) (V_a_2 $$unsorted) (V_fa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size T_b V_fa_2) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_b V_a_2 V_lazy__sequence_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) (tptp.hAPP V_fa_2 V_a_2)) (tptp.hAPP (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size T_b V_fa_2) V_lazy__sequence_2))) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.78  (assume a4649 (forall ((V_Pa_2 $$unsorted) (V_a1_2 $$unsorted) (V_a0_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Lazy__Sequence_Osmall__lazy_H__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) V_a0_2) V_a1_2))) (=> (forall ((B_d $$unsorted) (B_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp (tptp.tc_prod tptp.tc_Int_Oint tptp.tc_Int_Oint) tptp.c_Lazy__Sequence_Osmall__lazy_H__rel) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Int_Oint tptp.tc_Int_Oint) B_d) B_i))) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) B_d) B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_d) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint) B_i) (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_d) B_i))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_a0_2) V_a1_2))))))
% 80.53/80.78  (assume a4650 (forall ((V_xq_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)) V_xq_2) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat (tptp.tc_prod T_b (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBK (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat) T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) (tptp.c_Nat_Osize__class_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield T_b) V_xq_2)))))
% 80.53/80.78  (assume a4651 (forall ((V_xq_2 $$unsorted) (V_s_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size T_b V_s_2) V_xq_2) (tptp.c_Option_Ooption_Ooption__case tptp.tc_Nat_Onat (tptp.tc_prod T_b (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat)) T_b) (tptp.c_COMBC (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) T_b) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat) (tptp.tc_fun (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) tptp.tc_Nat_Onat)) T_b) (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_Nat_Onat) T_b) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) V_s_2))) (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size T_b V_s_2))))) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield T_b) V_xq_2)))))
% 80.53/80.78  (assume a4652 (forall ((V_xq_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case T_b T_c V_f_2 V_g_2 V_xq_2) (tptp.c_Option_Ooption_Ooption__case T_b (tptp.tc_prod T_c (tptp.tc_Lazy__Sequence_Olazy__sequence T_c)) V_f_2 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c (tptp.tc_Lazy__Sequence_Olazy__sequence T_c) T_b) V_g_2) (tptp.hAPP (tptp.c_Lazy__Sequence_Oyield T_c) V_xq_2)))))
% 80.53/80.78  (assume a4653 (forall ((T_b $$unsorted)) (= (tptp.c_Lazy__Sequence_Oyieldn T_b) (tptp.c_Lazy__Sequence_Oanamorph (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) T_b (tptp.c_Lazy__Sequence_Oyield T_b)))))
% 80.53/80.78  (assume a4654 (forall ((V_lazy__sequence_2 $$unsorted) (V_a_2 $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case T_b T_c V_f1_2 V_f2_2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_c V_a_2 V_lazy__sequence_2)) (tptp.hAPP (tptp.hAPP V_f2_2 V_a_2) V_lazy__sequence_2))))
% 80.53/80.78  (assume a4655 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (tptp.c_Relation_Orefl__on T_c (tptp.hAPP V_A_2 B_x) (tptp.hAPP V_r_2 B_x)))) (tptp.c_Relation_Orefl__on T_c (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_S_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)) V_S_2) V_r_2)))))
% 80.53/80.78  (assume a4656 (forall ((V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember T_b) V_xs_2) V_x_2)))))
% 80.53/80.78  (assume a4657 (forall ((V_y_2 $$unsorted) (V_xs_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember T_b) (tptp.hAPP (tptp.hAPP (tptp.c_List_Olist_OCons T_b) V_x_2) V_xs_2)) V_y_2)) (or (= V_x_2 V_y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember T_b) V_xs_2) V_y_2))))))
% 80.53/80.78  (assume a4658 (forall ((T_b $$unsorted)) (= (tptp.c_List_Omember T_b) (tptp.c_List_Oset T_b))))
% 80.53/80.78  (assume a4659 (forall ((V_y $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember T_a) (tptp.c_List_Olist_ONil T_a)) V_y)))))
% 80.53/80.78  (assume a4660 (forall ((V_x_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_List_Omember T_b) V_xs_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))))))
% 80.53/80.78  (assume a4661 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex1 T_b V_Pa_2 V_xs_2) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (forall ((B_y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_y))) (= B_y B_x))))))))
% 80.53/80.78  (assume a4662 (forall ((V_f_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__add T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_x) V_S_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) B_x)))) (=> (forall ((B_T1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_T1) V_S_2)) (forall ((B_T2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_T2) V_S_2)) (=> (not (= B_T1 B_T2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) B_T1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) B_T2)) (= (tptp.hAPP V_f_2 B_x) (tptp.c_Groups_Ozero__class_Ozero T_c)))))))))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_S_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum T_b T_c) V_f_2)) V_S_2))))))))
% 80.53/80.78  (assume a4663 (forall ((V_d_2 $$unsorted) (T_b $$unsorted) (V_Pa_2 $$unsorted)) (and (=> (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_y)) (= B_y B_x))))) (= (tptp.c_FunDef_OTHE__default T_b V_d_2 V_Pa_2) (tptp.c_HOL_OThe T_b V_Pa_2))) (=> (not (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_y)) (= B_y B_x)))))) (= (tptp.c_FunDef_OTHE__default T_b V_d_2 V_Pa_2) V_d_2)))))
% 80.53/80.78  (assume a4664 (forall ((T_d $$unsorted) (T_c $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_B_2 B_x) V_b_2) V_c_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_b_2) V_c_2)))))
% 80.53/80.78  (assume a4665 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c (tptp.tc_fun T_d tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_b_2) V_c_2)) (not (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP V_B_2 B_x) V_b_2) V_c_2)))))))))
% 80.53/80.78  (assume a4666 (forall ((V_M_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite (tptp.tc_List_Olist T_b)) V_M_2)) (exists ((B_n $$unsorted)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_List_Olist T_b)) B_x) V_M_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_List_Olist T_b)) B_x)) B_n))))))))
% 80.53/80.78  (assume a4667 (forall ((V_fa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size T_b V_fa_2) (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_b)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.78  (assume a4668 (forall ((T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Nat_Osize__class_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence T_a)) (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_a)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))
% 80.53/80.78  (assume a4669 (forall ((V_yq $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lazy__Sequence_Oappend T_a (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_a) V_yq) V_yq)))
% 80.53/80.78  (assume a4670 (forall ((V_lazy__sequence_H $$unsorted) (V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_a V_a_H V_lazy__sequence_H) (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_a)))))
% 80.53/80.78  (assume a4671 (forall ((V_lazy__sequence_H $$unsorted) (V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_a) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_a V_a_H V_lazy__sequence_H)))))
% 80.53/80.78  (assume a4672 (forall ((V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case T_b T_c V_f1_2 V_f2_2 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_c)) V_f1_2)))
% 80.53/80.78  (assume a4673 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.c_List_Olist__ex tptp.tc_Int_Oint V_Pa_2 (tptp.c_List_Oupto V_i_2 V_j_2)) (not (tptp.c_List_Oall__interval__int (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Int_Oint tptp.c_fNot) V_Pa_2) V_i_2 V_j_2)))))
% 80.53/80.78  (assume a4674 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.c_List_Olist__all tptp.tc_Int_Oint V_Pa_2 (tptp.c_List_Oupto V_i_2 V_j_2)) (tptp.c_List_Oall__interval__int V_Pa_2 V_i_2 V_j_2))))
% 80.53/80.78  (assume a4675 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.c_List_Oall__interval__int V_Pa_2 V_i_2 V_j_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Int_Oint) B_x) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Int_Oint V_i_2 V_j_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4676 (forall ((V_code__numeral_2 $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec T_b V_f1_2 V_f2_2 (tptp.c_Code__Numeral_OSuc__code__numeral V_code__numeral_2)) (tptp.hAPP (tptp.hAPP V_f2_2 V_code__numeral_2) (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec T_b V_f1_2 V_f2_2 V_code__numeral_2)))))
% 80.53/80.78  (assume a4677 (forall ((V_size_2 $$unsorted) (V_g_2 $$unsorted) (T_b $$unsorted) (V_nrandom_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral) V_nrandom_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))) (= (tptp.c_Random__Sequence_ORandom T_b V_g_2 V_nrandom_2 V_size_2) (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_DSequence_Oempty T_b)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Code__Numeral_Ocode__numeral) V_nrandom_2) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)))) (= (tptp.c_Random__Sequence_ORandom T_b V_g_2 V_nrandom_2 V_size_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oscomp (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod T_b (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm)) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.hAPP V_g_2 V_size_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)))) (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.tc_prod T_b (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm))) (tptp.hAPP (tptp.c_Product__Type_Oscomp (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.c_Random__Sequence_ORandom T_b V_g_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Code__Numeral_Ocode__numeral) V_nrandom_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral)) V_size_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))))) (tptp.tc_fun (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)))) (tptp.tc_prod T_b (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm))) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))))) (tptp.c_Product__Type_OPair (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_fun (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b))))) (tptp.tc_prod T_b (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm))) (tptp.c_DSequence_Ounion T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod T_b (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm))) (tptp.c_DSequence_Osingle T_b)) (tptp.c_Product__Type_Ofst T_b (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_Code__Evaluation_Oterm))))))))))))
% 80.53/80.78  (assume a4678 (forall ((V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec T_b V_f1_2 V_f2_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) V_f1_2)))
% 80.53/80.78  (assume a4679 (forall ((V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Random__Sequence_Oempty T_b V_nrandom_2 V_size_2) (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_DSequence_Oempty T_b)))))
% 80.53/80.78  (assume a4680 (forall ((V_size_2 $$unsorted) (V_nrandom_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Random__Sequence_Osingle T_b) V_x_2) V_nrandom_2) V_size_2) (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.hAPP (tptp.c_DSequence_Osingle T_b) V_x_2)))))
% 80.53/80.78  (assume a4681 (forall ((V_Pa_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Random__Sequence_Omap T_c T_b V_f_2 V_Pa_2) (tptp.c_Random__Sequence_Obind T_c T_b V_Pa_2 (tptp.hAPP (tptp.c_Fun_Ocomp T_b (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral) (tptp.tc_prod (tptp.tc_fun tptp.tc_Code__Numeral_Ocode__numeral (tptp.tc_fun tptp.tc_HOL_Obool (tptp.tc_Option_Ooption (tptp.tc_Lazy__Sequence_Olazy__sequence T_b)))) (tptp.tc_prod tptp.tc_Code__Numeral_Ocode__numeral tptp.tc_Code__Numeral_Ocode__numeral))))) T_c (tptp.c_Random__Sequence_Osingle T_b)) V_f_2)))))
% 80.53/80.78  (assume a4682 (forall ((T_d $$unsorted) (V_f_2 $$unsorted) (V_Q_2 $$unsorted) (V_p_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Product__Type_Osnd T_c T_b) V_p_2)) (tptp.hAPP (tptp.c_Product__Type_Ofst T_c T_b) V_p_2))) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_y) B_x)) (tptp.hBOOL (tptp.hAPP V_Q_2 (tptp.hAPP (tptp.hAPP V_f_2 B_x) B_y))))) (tptp.hBOOL (tptp.hAPP V_Q_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_b T_d) V_f_2) V_p_2)))))))
% 80.53/80.78  (assume a4683 (forall ((V_A_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Relation_OImage T_c T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_c T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_c T_b tptp.tc_HOL_Obool) V_Pa_2))) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_A_2)))) (tptp.hAPP (tptp.c_COMBC T_c T_b tptp.tc_HOL_Obool) V_Pa_2)))))))
% 80.53/80.78  (assume a4684 (forall ((V_z_2 $$unsorted) (V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_y_2)) (tptp.c_List_Olexord T_b V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_y_2) V_z_2)) (tptp.c_List_Olexord T_b V_r_2))) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_List_Olist T_b) (tptp.tc_List_Olist T_b)) V_x_2) V_z_2)) (tptp.c_List_Olexord T_b V_r_2))))))))
% 80.53/80.78  (assume a4685 (tptp.c_Relation_Otrans tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than))
% 80.53/80.78  (assume a4686 (forall ((V_R2_2 $$unsorted) (T_c $$unsorted) (V_R1_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_R1_2) (=> (tptp.c_Relation_Otrans T_c V_R2_2) (tptp.c_Relation_Otrans (tptp.tc_prod T_b T_c) (tptp.c_Wellfounded_Olex__prod T_b T_c V_R1_2 V_R2_2))))))
% 80.53/80.78  (assume a4687 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Otrans T_b V_r_2) (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_y)) V_r_2)) (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) B_z)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_z)) V_r_2)))))))))
% 80.53/80.78  (assume a4688 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_c_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_c_2)) V_r_2)))))))
% 80.53/80.78  (assume a4689 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)))) (tptp.c_member T_b)))))))
% 80.53/80.78  (assume a4690 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.c_Relation_Otrans T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b))))))
% 80.53/80.78  (assume a4691 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.c_Relation_Otrans T_c (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image T_b T_c) V_r_2) V_f_2)))))
% 80.53/80.78  (assume a4692 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) V_r_2) V_r_2)) V_r_2)))))
% 80.53/80.78  (assume a4693 (forall ((T_b $$unsorted)) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b tptp.tc_HOL_Obool) (tptp.c_Set_OBex T_b))))
% 80.53/80.78  (assume a4694 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (=> (tptp.c_Relation_Otrans T_b V_s_2) (tptp.c_Relation_Otrans T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2))))))
% 80.53/80.78  (assume a4695 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))))))
% 80.53/80.78  (assume a4696 (forall ((V_Q_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2)))) V_Q_2))))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_b tptp.tc_HOL_Obool) V_Q_2) B_x))))))))))
% 80.53/80.78  (assume a4697 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.c_Relation_Otrans (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel T_b V_r_2)))))
% 80.53/80.78  (assume a4698 (forall ((V_Pa_2 $$unsorted) (T_b $$unsorted)) (not (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4699 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Otrans T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Relation_Otrans T_b V_r_2))))
% 80.53/80.78  (assume a4700 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.c_Relation_Otrans (tptp.tc_List_Olist T_b) (tptp.c_List_Olexord T_b V_r_2)))))
% 80.53/80.78  (assume a4701 (forall ((T_b $$unsorted)) (tptp.c_Relation_Otrans (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.c_Wellfounded_Ofinite__psubset T_b))))
% 80.53/80.78  (assume a4702 (forall ((T_b $$unsorted)) (tptp.c_Relation_Otrans T_b (tptp.c_Relation_OId T_b))))
% 80.53/80.78  (assume a4703 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Otrans T_b (tptp.c_Relation_OId__on T_b V_A_2))))
% 80.53/80.78  (assume a4704 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Otrans T_b (tptp.c_Transitive__Closure_Otrancl T_b V_r_2))))
% 80.53/80.78  (assume a4705 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (= (tptp.c_Transitive__Closure_Otrancl T_b V_r_2) V_r_2))))
% 80.53/80.78  (assume a4706 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Otrans T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2))))
% 80.53/80.78  (assume a4707 (forall ((V_xs_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist__ex T_b V_Pa_2 V_xs_2) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4708 (forall ((V_Pa_2 $$unsorted) (V_xs_2 $$unsorted) (T_b $$unsorted)) (= (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.hAPP (tptp.c_List_Oset T_b) V_xs_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (tptp.c_List_Olist__ex T_b V_Pa_2 V_xs_2))))
% 80.53/80.78  (assume a4709 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_HOL_OEx T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c)) tptp.c_fequal)) V_B_2))))))))
% 80.53/80.78  (assume a4710 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_HOL_OEx T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBS T_c tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_c) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_c)) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c)) tptp.c_fequal)) V_B_2))))))))
% 80.53/80.78  (assume a4711 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c T_b) V_A_2) V_x_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx (tptp.tc_fun T_c T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_c T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_fun T_c T_b))) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool (tptp.tc_fun T_c T_b))) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) T_c T_b) (tptp.c_COMBI (tptp.tc_fun T_c T_b))) V_x_2))))))))))
% 80.53/80.78  (assume a4712 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.c_Complete__Lattice_OSup__class_OSup (tptp.tc_fun T_c T_b) V_A_2) V_x_2) (tptp.c_Complete__Lattice_OSup__class_OSup T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx (tptp.tc_fun T_c T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_c T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_fun T_c T_b))) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool (tptp.tc_fun T_c T_b))) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) T_c T_b) (tptp.c_COMBI (tptp.tc_fun T_c T_b))) V_x_2))))))))))
% 80.53/80.78  (assume a4713 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_c T_b) V_A_2) V_x_2) (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx (tptp.tc_fun T_c T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_c T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_fun T_c T_b))) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool (tptp.tc_fun T_c T_b))) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) T_c T_b) (tptp.c_COMBI (tptp.tc_fun T_c T_b))) V_x_2))))))))))
% 80.53/80.78  (assume a4714 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_b) (= (tptp.hAPP (tptp.c_Complete__Lattice_OInf__class_OInf (tptp.tc_fun T_c T_b) V_A_2) V_x_2) (tptp.c_Complete__Lattice_OInf__class_OInf T_b (tptp.hAPP (tptp.c_Set_OCollect T_b) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b) (tptp.c_HOL_OEx (tptp.tc_fun T_c T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) T_b) (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_c T_b)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_fun T_c T_b))) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_c T_b) T_b) (tptp.tc_fun (tptp.tc_fun T_c T_b) tptp.tc_HOL_Obool)) T_b) (tptp.c_COMBB T_b tptp.tc_HOL_Obool (tptp.tc_fun T_c T_b))) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_c T_b) T_c T_b) (tptp.c_COMBI (tptp.tc_fun T_c T_b))) V_x_2))))))))))
% 80.53/80.78  (assume a4715 (forall ((V_R_2 $$unsorted) (V_Y_2 $$unsorted) (V_X_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_X_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_Y_2)) (=> (not (= V_Y_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_X_2)) (exists ((B_xa $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_Y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_xa)))))) (tptp.c_Wellfounded_Omax__extp T_b V_R_2 V_X_2 V_Y_2)))))))
% 80.53/80.78  (assume a4716 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Predicate_Otransp T_b V_r_2) (tptp.c_Relation_Otrans T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) V_r_2))))))
% 80.53/80.78  (assume a4717 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Predicate_Otransp T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_y_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_x_2) V_z_2)))))))
% 80.53/80.78  (assume a4718 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (and (tptp.c_Predicate_Oreflp T_b V_R_2) (tptp.c_Predicate_Osymp T_b V_R_2) (tptp.c_Predicate_Otransp T_b V_R_2)))))
% 80.53/80.78  (assume a4719 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Predicate_Oreflp T_b V_R_2) (=> (tptp.c_Predicate_Osymp T_b V_R_2) (=> (tptp.c_Predicate_Otransp T_b V_R_2) (tptp.c_Equiv__Relations_Oequivp T_b V_R_2))))))
% 80.53/80.78  (assume a4720 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Predicate_Osymp T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_y_2) V_x_2))))))
% 80.53/80.78  (assume a4721 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (not (=> (tptp.c_Predicate_Oreflp T_b V_R_2) (=> (tptp.c_Predicate_Osymp T_b V_R_2) (not (tptp.c_Predicate_Otransp T_b V_R_2))))))))
% 80.53/80.78  (assume a4722 (forall ((V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Wellfounded_Omax__extp T_b V_R_2 V_a1_2 V_a2_2) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_a1_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_a2_2)) (not (= V_a2_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_a1_2)) (exists ((B_xa $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_a2_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_xa))))))))))
% 80.53/80.78  (assume a4723 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Otrans T_b V_r_2) (=> (tptp.c_Relation_Oantisym T_b V_r_2) (tptp.c_Relation_Otrans T_b (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b)))))))
% 80.53/80.78  (assume a4724 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Oantisym T_b (tptp.c_Relation_OId__on T_b V_A_2))))
% 80.53/80.78  (assume a4725 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (=> (tptp.c_Relation_Oantisym T_b V_s_2) (tptp.c_Relation_Oantisym T_b V_r_2)))))
% 80.53/80.78  (assume a4726 (forall ((T_b $$unsorted)) (tptp.c_Relation_Oantisym T_b (tptp.c_Relation_OId T_b))))
% 80.53/80.78  (assume a4727 (forall ((T_b $$unsorted)) (tptp.c_Relation_Oantisym T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)))))
% 80.53/80.78  (assume a4728 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oantisym T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Relation_Oantisym T_b V_r_2))))
% 80.53/80.78  (assume a4729 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oantisym T_b V_r_2) (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_y)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) B_x)) V_r_2)) (= B_x B_y)))))))
% 80.53/80.78  (assume a4730 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Oantisym T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_a_2)) V_r_2)) (= V_a_2 V_b_2))))))
% 80.53/80.78  (assume a4731 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oantisym T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.c_Relation_OId T_b))) (tptp.c_Relation_Oantisym T_b V_r_2))))
% 80.53/80.78  (assume a4732 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Wellfounded_Oacyclic T_b V_r_2) (tptp.c_Relation_Oantisym T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))
% 80.53/80.78  (assume a4733 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_L_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Partial__Function_Ofun__lub T_c T_b T_d V_L_2 V_A_2 V_x_2) (tptp.hAPP V_L_2 (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_d T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_c) (tptp.c_HOL_OEx (tptp.tc_fun T_d T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_d T_c) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_d T_c) tptp.tc_HOL_Obool) T_c) (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun T_d T_c) tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.tc_fun T_d T_c)) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_d T_c) (tptp.tc_fun (tptp.tc_fun T_d T_c) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member (tptp.tc_fun T_d T_c))) V_A_2)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c (tptp.tc_fun (tptp.tc_fun T_d T_c) T_c) (tptp.tc_fun (tptp.tc_fun T_d T_c) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun (tptp.tc_fun T_d T_c) T_c) (tptp.tc_fun (tptp.tc_fun T_d T_c) tptp.tc_HOL_Obool)) T_c) (tptp.c_COMBB T_c tptp.tc_HOL_Obool (tptp.tc_fun T_d T_c))) tptp.c_fequal)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_d T_c) T_d T_c) (tptp.c_COMBI (tptp.tc_fun T_d T_c))) V_x_2)))))))))
% 80.53/80.78  (assume a4734 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Orel__comp T_b T_b T_b) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) V_r_2)) V_r_2))))))
% 80.53/80.78  (assume a4735 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Osym T_b V_r_2) (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_x) B_y)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) B_x)) V_r_2)))))))
% 80.53/80.78  (assume a4736 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_a_2) V_b_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) V_b_2) V_a_2)) V_r_2))))))
% 80.53/80.78  (assume a4737 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (tptp.c_Relation_Osym T_c (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image T_b T_c) V_r_2) V_f_2)))))
% 80.53/80.78  (assume a4738 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Osym T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)))))
% 80.53/80.78  (assume a4739 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (=> (tptp.c_Relation_Osym T_b V_s_2) (tptp.c_Relation_Osym T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2))))))
% 80.53/80.78  (assume a4740 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (tptp.c_Relation_Osym (tptp.tc_List_Olist T_b) (tptp.c_List_Olistrel T_b V_r_2)))))
% 80.53/80.78  (assume a4741 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Osym T_b (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)) (tptp.c_Relation_Osym T_b V_r_2))))
% 80.53/80.78  (assume a4742 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Osym T_b V_r_2) (= (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2) V_r_2))))
% 80.53/80.78  (assume a4743 (forall ((T_b $$unsorted)) (tptp.c_Relation_Osym T_b (tptp.c_Relation_OId T_b))))
% 80.53/80.78  (assume a4744 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (=> (tptp.c_Relation_Osym T_b V_s_2) (tptp.c_Relation_Osym T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) V_s_2))))))
% 80.53/80.78  (assume a4745 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Osym T_b (tptp.c_Relation_OId__on T_b V_A_2))))
% 80.53/80.78  (assume a4746 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (tptp.c_Relation_Osym T_b (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)))))
% 80.53/80.78  (assume a4747 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Osym T_b V_r_2) (tptp.c_Relation_Osym T_b (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))))
% 80.53/80.78  (assume a4748 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Relation_Osym T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_b) tptp.tc_HOL_Obool)) V_r_2) (tptp.hAPP (tptp.c_Relation_Oconverse T_b T_b) V_r_2)))))
% 80.53/80.78  (assume a4749 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (and (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (tptp.c_Relation_Osym T_b V_r_2) (tptp.c_Relation_Otrans T_b V_r_2)))))
% 80.53/80.78  (assume a4750 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (=> (tptp.c_Relation_Osym T_b V_r_2) (=> (tptp.c_Relation_Otrans T_b V_r_2) (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2))))))
% 80.53/80.78  (assume a4751 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (not (=> (tptp.c_Relation_Orefl__on T_b V_A_2 V_r_2) (=> (tptp.c_Relation_Osym T_b V_r_2) (not (tptp.c_Relation_Otrans T_b V_r_2))))))))
% 80.53/80.78  (assume a4752 (forall ((V_r_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Predicate_Osymp T_b V_r_2) (tptp.c_Relation_Osym T_b (tptp.hAPP (tptp.c_Set_OCollect (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_b tptp.tc_HOL_Obool) V_r_2))))))
% 80.53/80.78  (assume a4753 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2) (and (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_x))) (tptp.c_Predicate_Osymp T_b V_R_2) (tptp.c_Predicate_Otransp T_b V_R_2)))))
% 80.53/80.78  (assume a4754 (forall ((T_b $$unsorted) (V_R_2 $$unsorted)) (=> (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_x))) (=> (tptp.c_Predicate_Osymp T_b V_R_2) (=> (tptp.c_Predicate_Otransp T_b V_R_2) (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2))))))
% 80.53/80.78  (assume a4755 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2))))
% 80.53/80.78  (assume a4756 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2) (and (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_x))) (forall ((B_x $$unsorted) (B_y $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_y)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_x)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_y) B_y)) (= (tptp.hAPP V_R_2 B_x) (tptp.hAPP V_R_2 B_y)))))))))
% 80.53/80.78  (assume a4757 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_y_2) V_x_2))))))
% 80.53/80.78  (assume a4758 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_y_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_z_2)))))))
% 80.53/80.78  (assume a4759 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2) (not (=> (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 B_x) B_x))) (=> (tptp.c_Predicate_Osymp T_b V_R_2) (not (tptp.c_Predicate_Otransp T_b V_R_2))))))))
% 80.53/80.78  (assume a4760 (forall ((V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Opart__equivp T_b V_R_2) (exists ((B_d $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_d) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_HOL_OEx T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_b tptp.tc_HOL_Obool) V_R_2) (tptp.c_COMBI T_b))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool T_b)) tptp.c_fequal)) V_R_2)))))))))
% 80.53/80.78  (assume a4761 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)) V_f_2) (tptp.c_Fun_Oid T_b)))))
% 80.53/80.78  (assume a4762 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)) V_f_2) (tptp.c_Fun_Oid T_b)))))
% 80.53/80.78  (assume a4763 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (tptp.c_Fun_Oinj__on T_b T_c (tptp.c_Hilbert__Choice_Oinv__into T_c T_b V_A_2 V_f_2) V_B_2))))
% 80.53/80.78  (assume a4764 (forall ((V_S_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_S_2) V_A_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_S_2)) V_S_2)))))
% 80.53/80.78  (assume a4765 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on T_b T_c (tptp.c_Hilbert__Choice_Oinv__into T_c T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4766 (forall ((V_X_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_X_2)) V_X_2))))
% 80.53/80.78  (assume a4767 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) V_A_2))))
% 80.53/80.78  (assume a4768 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4769 (forall ((V_B_H_2 $$unsorted) (V_A_H_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2) V_A_H_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_H_2) V_A_H_2)) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c (tptp.c_Hilbert__Choice_Oinv__into T_c T_b V_A_2 V_f_2)) V_B_H_2)) V_B_H_2)))))
% 80.53/80.78  (assume a4770 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (forall ((B_x $$unsorted)) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_c T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_f_2) B_x)) B_x)))))
% 80.53/80.78  (assume a4771 (forall ((V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_c T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_f_2) V_y_2)) V_y_2))))
% 80.53/80.78  (assume a4772 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c (tptp.c_Hilbert__Choice_Oinv__into T_c T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_f_2)) V_A_2)) V_A_2))))
% 80.53/80.78  (assume a4773 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_y_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_y_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_c T_b V_A_2 V_f_2) V_y_2)) V_y_2))))
% 80.53/80.78  (assume a4774 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_c T_b V_A_2 V_f_2) V_x_2)) V_A_2)))))
% 80.53/80.78  (assume a4775 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2) V_x_2) (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_y_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))) (= V_x_2 V_y_2))))))
% 80.53/80.78  (assume a4776 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2) (tptp.hAPP V_f_2 V_x_2)) V_x_2)))))
% 80.53/80.78  (assume a4777 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_A_2)) (=> (= (tptp.hAPP V_f_2 V_x_2) V_y_2) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2) V_y_2) V_x_2))))))
% 80.53/80.78  (assume a4778 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP V_f_2 V_x_2) V_y_2) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2) V_y_2) V_x_2)))))
% 80.53/80.78  (assume a4779 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2) (tptp.hAPP V_f_2 V_x_2)) V_x_2))))
% 80.53/80.78  (assume a4780 (forall ((T_b $$unsorted)) (= (tptp.c_Hilbert__Choice_Oinv__into T_b T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Fun_Oid T_b)) (tptp.c_Fun_Oid T_b))))
% 80.53/80.78  (assume a4781 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2) V_x_2) (tptp.c_Hilbert__Choice_OEps T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) T_b) tptp.c_fconj) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b (tptp.tc_fun T_b tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_b)) V_A_2))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2)) V_x_2))))))
% 80.53/80.78  (assume a4782 (forall ((V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2) V_y_2) (tptp.c_Hilbert__Choice_OEps T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b) tptp.c_fequal) V_f_2)) V_y_2)))))
% 80.53/80.78  (assume a4783 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_d T_c V_g_2) (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2))) V_f_2) V_g_2))))
% 80.53/80.78  (assume a4784 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_g_2) V_A_2)) (=> (tptp.c_Fun_Oinj__on T_d T_b V_g_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_g_2) V_A_2)))) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_d T_c V_A_2 (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_d V_f_2) V_g_2)) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_d T_c (tptp.c_Hilbert__Choice_Oinv__into T_d T_b V_A_2 V_g_2)) (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_g_2) V_A_2) V_f_2)) V_x_2)))))))
% 80.53/80.78  (assume a4785 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (= (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_b T_b V_f_2) (tptp.c_Hilbert__Choice_Oinv__into T_c T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_f_2)) (tptp.c_Fun_Oid T_b)))))
% 80.53/80.78  (assume a4786 (forall ((V_x_2 $$unsorted) (V_Pa_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_y) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2) B_y))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2))))))
% 80.53/80.78  (assume a4787 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted)) (=> (tptp.class_Groups_Ocomm__monoid__mult T_d) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_I_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_I_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) (tptp.hAPP V_A_2 B_x))))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_I_2)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_xa) V_I_2)) (=> (not (= B_x B_xa)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP V_A_2 B_x)) (tptp.hAPP V_A_2 B_xa)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_d T_c (tptp.c_Groups_Otimes__class_Otimes T_d)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_I_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_d T_b (tptp.c_Groups_Otimes__class_Otimes T_d)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold__image T_d T_c (tptp.c_Groups_Otimes__class_Otimes T_d)) V_g_2) (tptp.c_Groups_Oone__class_Oone T_d))) V_A_2)) (tptp.c_Groups_Oone__class_Oone T_d)) V_I_2))))))))
% 80.53/80.78  (assume a4788 (forall ((V_Pa_2 $$unsorted) (V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_y_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))) (=> (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP tptp.c_Code__Numeral_Onat__of B_x)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_y_2))))))
% 80.53/80.78  (assume a4789 (forall ((V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_y_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))) (not (forall ((B_x $$unsorted)) (not (= V_y_2 (tptp.hAPP tptp.c_Code__Numeral_Onat__of B_x))))))))
% 80.53/80.78  (assume a4790 (forall ((V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_y) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat B_y))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)))))
% 80.53/80.78  (assume a4791 (forall ((V_x_2 $$unsorted)) (not (forall ((B_y $$unsorted)) (=> (= V_x_2 (tptp.hAPP tptp.c_Code__Numeral_Oof__nat B_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_y) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))))))
% 80.53/80.78  (assume a4792 (forall ((V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec T_b T_c V_f1_2 V_f2_2 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_c)) V_f1_2)))
% 80.53/80.78  (assume a4793 (forall ((V_l $$unsorted) (V_k $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_k) V_l)) (= (tptp.c_Quickcheck_Obeyond V_k V_l) V_l)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Code__Numeral_Ocode__numeral) V_k) V_l))) (= (tptp.c_Quickcheck_Obeyond V_k V_l) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))))))
% 80.53/80.78  (assume a4794 (forall ((V_k $$unsorted)) (= (tptp.c_Quickcheck_Obeyond V_k (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral))))
% 80.53/80.78  (assume a4795 (forall ((V_lazy__sequence_2 $$unsorted) (V_a_2 $$unsorted) (V_f2_2 $$unsorted) (V_f1_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec T_b T_c V_f1_2 V_f2_2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_c V_a_2 V_lazy__sequence_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP V_f2_2 V_a_2) V_lazy__sequence_2) (tptp.c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec T_b T_c V_f1_2 V_f2_2 V_lazy__sequence_2)))))
% 80.53/80.78  (assume a4796 (forall ((V_Pa_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Set_OCollect T_b) V_Pa_2)) (tptp.hAPP (tptp.c_Set_OCollect T_c) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b tptp.tc_HOL_Obool T_c) V_Pa_2) (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)))))))
% 80.53/80.78  (assume a4797 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry T_c T_d T_b V_c_2) V_x_2) V_y_2) (tptp.hAPP V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_x_2) V_y_2)))))
% 80.53/80.78  (assume a4798 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (V_f_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry T_b T_c tptp.tc_HOL_Obool V_f_2) V_a_2) V_b_2)))))
% 80.53/80.78  (assume a4799 (forall ((V_A_2 $$unsorted) (T_b $$unsorted)) (tptp.c_Fun_Obij__betw T_b T_b (tptp.c_Fun_Oid T_b) V_A_2 V_A_2)))
% 80.53/80.78  (assume a4800 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Fun_Obij__betw T_c T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4801 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.c_Hilbert__Choice_Oinv__into T_c T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)) V_f_2))))
% 80.53/80.78  (assume a4802 (forall ((V_a_2 $$unsorted) (V_A_H_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_A_H_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_a_2) V_A_2)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into T_c T_b V_A_H_2 (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2)) V_a_2) (tptp.hAPP V_f_2 V_a_2))))))
% 80.53/80.78  (assume a4803 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (tptp.c_Fun_Obij__betw T_c T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c V_A_2 V_f_2) V_B_2 V_A_2))))
% 80.53/80.78  (assume a4804 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (=> (tptp.c_Fun_Obij__betw T_d T_b V_g_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.c_Hilbert__Choice_Oinv__into T_d T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_d V_f_2) V_g_2)) (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_d T_c (tptp.c_Hilbert__Choice_Oinv__into T_d T_b (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool)) V_g_2)) (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)))))))
% 80.53/80.78  (assume a4805 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_d $$unsorted) (V_A_H_H_2 $$unsorted) (V_A_H_2 $$unsorted) (V_f_H_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_H_2 V_A_H_2 V_A_H_H_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_d T_b V_f_2) V_A_2)) V_A_H_2)) (= (tptp.c_Fun_Obij__betw T_d T_b V_f_2 V_A_2 V_A_H_2) (tptp.c_Fun_Obij__betw T_d T_c (tptp.hAPP (tptp.c_Fun_Ocomp T_b T_c T_d V_f_H_2) V_f_2) V_A_2 V_A_H_H_2))))))
% 80.53/80.78  (assume a4806 (forall ((V_g_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (=> (tptp.c_Fun_Obij__betw T_c T_d V_g_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool))) (tptp.c_Fun_Obij__betw T_b T_d (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_g_2) V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_d tptp.tc_HOL_Obool)))))))
% 80.53/80.78  (assume a4807 (forall ((V_A_H_H_2 $$unsorted) (V_f_H_2 $$unsorted) (T_d $$unsorted) (V_A_H_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_A_H_2) (= (tptp.c_Fun_Obij__betw T_c T_d V_f_H_2 V_A_H_2 V_A_H_H_2) (tptp.c_Fun_Obij__betw T_b T_d (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_f_H_2) V_f_2) V_A_2 V_A_H_H_2)))))
% 80.53/80.78  (assume a4808 (forall ((V_C_2 $$unsorted) (V_g_2 $$unsorted) (T_d $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (=> (tptp.c_Fun_Obij__betw T_c T_d V_g_2 V_B_2 V_C_2) (tptp.c_Fun_Obij__betw T_b T_d (tptp.hAPP (tptp.c_Fun_Ocomp T_c T_d T_b V_g_2) V_f_2) V_A_2 V_C_2)))))
% 80.53/80.78  (assume a4809 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry T_b T_c tptp.tc_HOL_Obool V_f_2) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2))))))
% 80.53/80.78  (assume a4810 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry T_b T_c tptp.tc_HOL_Obool V_f_2) V_a_2) V_b_2)) (tptp.hBOOL (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_a_2) V_b_2))))))
% 80.53/80.78  (assume a4811 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry T_c T_d T_b V_f_2) V_a_2) V_b_2) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_d) V_a_2) V_b_2)))))
% 80.53/80.78  (assume a4812 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2))))))
% 80.53/80.78  (assume a4813 (forall ((V_F_2 $$unsorted) (V_h_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_h_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_h_2) V_F_2))) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_F_2))))))
% 80.53/80.78  (assume a4814 (forall ((V_f_2 $$unsorted) (V_B_H_2 $$unsorted) (V_A_H_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_H_2) V_B_H_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_A_H_2) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_B_2 V_B_H_2) (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_H_2) V_B_H_2))))))))
% 80.53/80.78  (assume a4815 (forall ((V_D_2 $$unsorted) (V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_C_2 V_D_2) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2) V_D_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2) V_D_2)))))))
% 80.53/80.78  (assume a4816 (forall ((T_b $$unsorted)) (tptp.c_Fun_Obij__betw T_b T_b (tptp.c_Fun_Oid T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))
% 80.53/80.78  (assume a4817 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Obij__betw T_b T_b (tptp.c_Fun_Oid T_b) V_A_2 V_B_2) (= V_A_2 V_B_2))))
% 80.53/80.78  (assume a4818 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2))))))
% 80.53/80.78  (assume a4819 (forall ((V_B_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_B_2)) (= (exists ((B_f $$unsorted)) (tptp.c_Fun_Obij__betw T_b T_c B_f V_A_2 V_B_2)) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2)))))))
% 80.53/80.78  (assume a4820 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4821 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4822 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (= (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_c) V_B_2)))))
% 80.53/80.78  (assume a4823 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (tptp.c_Fun_Obij__betw T_c T_b (tptp.c_Fun_Othe__inv__into T_b T_c V_A_2 V_f_2) V_B_2 V_A_2))))
% 80.53/80.78  (assume a4824 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4825 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2))))
% 80.53/80.78  (assume a4826 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_B_2) (and (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2) V_B_2)))))
% 80.53/80.78  (assume a4827 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)))))
% 80.53/80.78  (assume a4828 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4829 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4830 (forall ((V_B_H_2 $$unsorted) (V_B_2 $$unsorted) (V_A_H_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_A_2 V_A_H_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_B_2) V_B_H_2) (tptp.c_Fun_Obij__betw T_b T_c V_f_2 V_B_2 V_B_H_2))))))
% 80.53/80.78  (assume a4831 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (and (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.78  (assume a4832 (forall ((V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (=> (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool)))))))
% 80.53/80.78  (assume a4833 (forall ((V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Ocurry T_b T_c T_d (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) V_f_2)) V_f_2)))
% 80.53/80.78  (assume a4834 (forall ((V_f_2 $$unsorted) (T_d $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case T_b T_c T_d) (tptp.c_Product__Type_Ocurry T_b T_c T_d V_f_2)) V_f_2)))
% 80.53/80.78  (assume a4835 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_d $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_d (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_d) (tptp.c_Set_Oimage T_b T_c V_f_2)) V_B_2))))))
% 80.53/80.78  (assume a4836 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_B_2)) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)))))))
% 80.53/80.78  (assume a4837 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Obij__betw T_b T_c V_f_2 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_c tptp.tc_HOL_Obool))) (= (tptp.hAPP (tptp.c_Set_Ovimage T_b T_c V_f_2) V_A_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b (tptp.c_Hilbert__Choice_Oinv__into T_b T_c (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_f_2)) V_A_2)))))
% 80.53/80.78  (assume a4838 (forall ((V_M_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_M_2)) (exists ((B_h $$unsorted)) (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat T_b B_h (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_M_2)) V_M_2)))))
% 80.53/80.78  (assume a4839 (forall ((V_g_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Fun_Oinj__on T_b T_c V_f_2 V_A_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_b T_c V_f_2) V_A_2)) V_B_2)) (=> (tptp.c_Fun_Oinj__on T_c T_b V_g_2 V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_g_2) V_B_2)) V_A_2)) (exists ((B_h $$unsorted)) (tptp.c_Fun_Obij__betw T_b T_c B_h V_A_2 V_B_2))))))))
% 80.53/80.78  (assume a4840 (forall ((V_M_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_M_2)) (exists ((B_h $$unsorted)) (tptp.c_Fun_Obij__betw tptp.tc_Nat_Onat T_b B_h (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_M_2)) V_M_2)))))
% 80.53/80.78  (assume a4841 (forall ((V_M_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_M_2)) (exists ((B_h $$unsorted)) (tptp.c_Fun_Obij__betw T_b tptp.tc_Nat_Onat B_h V_M_2 (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_M_2)))))))
% 80.53/80.78  (assume a4842 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_S_2)) (tptp.c_Relation_Orefl__on T_c (tptp.hAPP V_A_2 B_x) (tptp.hAPP V_r_2 B_x)))) (tptp.c_Relation_Orefl__on T_c (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_S_2) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR T_b (tptp.tc_fun (tptp.tc_prod T_c T_c) tptp.tc_HOL_Obool)) V_S_2) V_r_2)))))
% 80.53/80.78  (assume a4843 (forall ((V_Pa_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (= (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.c_Quotient_ORespects T_b V_R_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1)))))))
% 80.53/80.78  (assume a4844 (forall ((V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Quotient_ORespects T_b V_R_2) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_x_2)))))
% 80.53/80.78  (assume a4845 (forall ((V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Quotient_ORespects T_b V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_R_2 V_x_2) V_x_2)))))
% 80.53/80.78  (assume a4846 (forall ((V_Pa_2 $$unsorted) (V_Q_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Q_2 B_x)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (=> (exists ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Q_2 B_x1))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) (tptp.c_Quotient_ORespects T_b V_R_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))))
% 80.53/80.78  (assume a4847 (forall ((V_Pa_2 $$unsorted) (T_c $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Equiv__Relations_Oequivp T_b V_R_2) (= (tptp.c_Quotient_OBabs T_b T_c (tptp.c_Quotient_ORespects T_b V_R_2) V_Pa_2) V_Pa_2))))
% 80.53/80.78  (assume a4848 (forall ((V_m_2 $$unsorted) (T_c $$unsorted) (V_p_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_p_2)) (= (tptp.hAPP (tptp.c_Quotient_OBabs T_b T_c V_p_2 V_m_2) V_x_2) (tptp.hAPP V_m_2 V_x_2)))))
% 80.53/80.78  (assume a4849 (forall ((V_r_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP V_f_2 (tptp.hAPP tptp.c_Nat_OSuc B_i))) (tptp.hAPP V_f_2 B_i))) (tptp.c_Transitive__Closure_Ortrancl T_b V_r_2)))) (=> (tptp.c_Wellfounded_Owf T_b (tptp.c_Transitive__Closure_Otrancl T_b V_r_2)) (exists ((B_i $$unsorted)) (forall ((B_k $$unsorted)) (= (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) B_i) B_k)) (tptp.hAPP V_f_2 B_i))))))))
% 80.53/80.78  (assume a4850 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_g_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_f_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_g_2)))))))
% 80.53/80.78  (assume a4851 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP V_B_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI T_b (tptp.tc_fun T_c tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.78  (assume a4852 (forall ((V_Pa_2 $$unsorted) (V_r_2 $$unsorted) (V_by_2 $$unsorted) (V_bx_2 $$unsorted) (V_ay_2 $$unsorted) (V_ax_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_ax_2) V_ay_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_bx_2) V_by_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_b T_c) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_ax_2) V_ay_2)) (=> (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_ax_2) V_ay_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_a) B_b))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_b T_c) V_r_2))) (forall ((B_aa $$unsorted) (B_ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_a) B_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_aa) B_ba))) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) B_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_aa) B_ba))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_bx_2) V_by_2)))))))
% 80.53/80.78  (assume a4853 (forall ((V_r_2 $$unsorted) (V_zb_2 $$unsorted) (V_za_2 $$unsorted) (V_xb_2 $$unsorted) (V_xa_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_xa_2) V_xb_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_za_2) V_zb_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_b T_c) V_r_2))) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_xa_2) V_xb_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_za_2) V_zb_2))) (not (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_xa_2) V_xb_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_a) B_b))) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_a) B_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_za_2) V_zb_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_b T_c) V_r_2)))))))))))
% 80.53/80.78  (assume a4854 (forall ((V_Pa_2 $$unsorted) (V_r_2 $$unsorted) (V_by_2 $$unsorted) (V_bx_2 $$unsorted) (V_ay_2 $$unsorted) (V_ax_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_ax_2) V_ay_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_bx_2) V_by_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_b T_c) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_bx_2) V_by_2)) (=> (forall ((B_a $$unsorted) (B_b $$unsorted) (B_aa $$unsorted) (B_ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_a) B_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_aa) B_ba))) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_b T_c) (tptp.tc_prod T_b T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) B_aa) B_ba)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_bx_2) V_by_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_b T_c) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_aa) B_ba)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) B_b)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_ax_2) V_ay_2)))))))
% 80.53/80.78  (assume a4855 (forall ((T_d $$unsorted) (V_f_2 $$unsorted) (V_r2_2 $$unsorted) (T_c $$unsorted) (V_r1_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_y1 $$unsorted) (B_z1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y1) B_z1)) V_r1_2)) (forall ((B_y2 $$unsorted) (B_z2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_c T_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_c T_c) B_y2) B_z2)) V_r2_2)) (= (tptp.hAPP (tptp.hAPP V_f_2 B_y1) B_y2) (tptp.hAPP (tptp.hAPP V_f_2 B_z1) B_z2)))))) (tptp.c_Equiv__Relations_Ocongruent2 T_b T_c T_d V_r1_2 V_r2_2 V_f_2))))
% 80.53/80.78  (assume a4856 (forall ((T_c $$unsorted) (V_f_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted)) (=> (forall ((B_y $$unsorted) (B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) B_y) B_z)) V_r_2)) (= (tptp.hAPP V_f_2 B_y) (tptp.hAPP V_f_2 B_z)))) (tptp.c_Equiv__Relations_Ocongruent T_b T_c V_r_2 V_f_2))))
% 80.53/80.78  (assume a4857 (forall ((V_xqq $$unsorted) (V_xq $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lazy__Sequence_Oflat T_a (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert (tptp.tc_Lazy__Sequence_Olazy__sequence T_a) V_xq V_xqq)) (tptp.c_Lazy__Sequence_Oappend T_a V_xq (tptp.c_Lazy__Sequence_Oflat T_a V_xqq)))))
% 80.53/80.78  (assume a4858 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.c_List_Olist__all tptp.tc_Nat_Onat V_Pa_2 (tptp.c_List_Oupt V_i_2 V_j_2)) (tptp.c_List_Oall__interval__nat V_Pa_2 V_i_2 V_j_2))))
% 80.53/80.78  (assume a4859 (forall ((T_a $$unsorted)) (= (tptp.c_Lazy__Sequence_Oflat T_a (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty (tptp.tc_Lazy__Sequence_Olazy__sequence T_a))) (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_a))))
% 80.53/80.78  (assume a4860 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.c_List_Oall__interval__nat V_Pa_2 V_i_2 V_j_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) B_x) (tptp.hAPP (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat V_i_2) V_j_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))))))
% 80.53/80.78  (assume a4861 (forall ((V_j_2 $$unsorted) (V_i_2 $$unsorted) (V_Pa_2 $$unsorted)) (= (tptp.c_List_Olist__ex tptp.tc_Nat_Onat V_Pa_2 (tptp.c_List_Oupt V_i_2 V_j_2)) (not (tptp.c_List_Oall__interval__nat (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat tptp.c_fNot) V_Pa_2) V_i_2 V_j_2)))))
% 80.53/80.78  (assume a4862 (forall ((V_f_2 $$unsorted) (V_xq_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.c_Lazy__Sequence_Obind T_c T_b V_xq_2) V_f_2) (tptp.c_Lazy__Sequence_Oflat T_b (tptp.c_Lazy__Sequence_Omap T_c (tptp.tc_Lazy__Sequence_Olazy__sequence T_b) V_f_2 V_xq_2)))))
% 80.53/80.78  (assume a4863 (forall ((V_h_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (V_F_2 $$unsorted) (V_z_2 $$unsorted) (V_f_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (=> (tptp.c_Finite__Set_Ofolding__image T_b T_c V_f_2 V_z_2 V_F_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_c) V_A_2)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) B_x) V_A_2)) (= (tptp.hAPP V_g_2 B_x) (tptp.hAPP V_h_2 B_x)))) (= (tptp.hAPP (tptp.hAPP V_F_2 V_g_2) V_A_2) (tptp.hAPP (tptp.hAPP V_F_2 V_h_2) V_A_2)))))))
% 80.53/80.78  (assume a4864 (forall ((V_xq_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Lazy__Sequence_Omap T_c T_b V_f_2 (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_c V_x_2 V_xq_2)) (tptp.c_Lazy__Sequence_Olazy__sequence_OInsert T_b (tptp.hAPP V_f_2 V_x_2) (tptp.c_Lazy__Sequence_Omap T_c T_b V_f_2 V_xq_2)))))
% 80.53/80.78  (assume a4865 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_Lazy__Sequence_Omap T_c T_b V_f_2 (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_c)) (tptp.c_Lazy__Sequence_Olazy__sequence_OEmpty T_b))))
% 80.53/80.78  (assume a4866 (forall ((V_i_2 $$unsorted) (V_xq_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.c_New__DSequence_Opos__map T_c T_b V_f_2 V_xq_2 V_i_2) (tptp.c_Lazy__Sequence_Omap T_c T_b V_f_2 (tptp.hAPP V_xq_2 V_i_2)))))
% 80.53/80.78  (assume a4867 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_i $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_i) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat) V_i) V_n))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) V_i)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.78  (assume a4868 (forall ((V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_x))))
% 80.53/80.78  (assume a4869 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))))))
% 80.53/80.78  (assume a4870 (forall ((V_k $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))) V_k))))
% 80.53/80.78  (assume a4871 (forall ((V_n $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_k) V_n))))))
% 80.53/80.78  (assume a4872 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k) V_n))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_m) V_n))))))
% 80.53/80.78  (assume a4873 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_k_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.78  (assume a4874 (forall ((V_f_2 $$unsorted) (V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (and (tptp.class_Groups_Ocomm__monoid__mult T_c) (tptp.class_Rings_Odvd T_c)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_c) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_B_2))))))))
% 80.53/80.78  (assume a4875 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Divides_Osemiring__div T_b) (tptp.class_Int_Onumber T_b)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2))) (= (tptp.c_Divides_Odiv__class_Omod T_b (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_y_2) (tptp.hAPP (tptp.c_Int_Onumber__class_Onumber__of T_b) V_x_2)) (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.78  (assume a4876 (forall ((V_d_2 $$unsorted) (V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_b) (=> (not (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (=> (not (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_c_2) V_d_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_b) V_b_2) V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_b) V_d_2) V_c_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_d_2))))))))))
% 80.53/80.78  (assume a4877 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_b) (=> (not (= V_a_2 (tptp.c_Groups_Ozero__class_Ozero T_b))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_a_2) V_b_2)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_b) V_b_2) V_a_2) V_c_2) (= V_b_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_a_2))))))))
% 80.53/80.78  (assume a4878 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) V_m)))))))
% 80.53/80.78  (assume a4879 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) V_n)))))))
% 80.53/80.78  (assume a4880 (forall ((V_a $$unsorted) (V_n $$unsorted) (V_m $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)))))))
% 80.53/80.78  (assume a4881 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_n) V_m)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) V_m))))))))
% 80.53/80.78  (assume a4882 (forall ((V_m $$unsorted) (V_b $$unsorted) (V_n $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_n)) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) V_m) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_a) V_m)) V_b)))))))
% 80.53/80.78  (assume a4883 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_b_2)) (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c_2 V_d_2))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c_2) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b_2) V_d_2)))))))
% 80.53/80.78  (assume a4884 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_i_2) (tptp.c_SetInterval_Oord_OatLeast tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) V_i_2)))))
% 80.53/80.78  (assume a4885 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_i_2) (tptp.c_SetInterval_Oord_OatMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_i_2) V_k_2)))))
% 80.53/80.78  (assume a4886 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_i_2) (tptp.c_SetInterval_Oord_OlessThan tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_k_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_i_2) V_k_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) V_i_2)))))))
% 80.53/80.78  (assume a4887 (forall ((V_k_2 $$unsorted) (V_i_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Nat_Onat) V_i_2) (tptp.c_SetInterval_Oord_OgreaterThan tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_k_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) V_i_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_i_2) V_k_2)))))))
% 80.53/80.78  (assume a4888 (forall ((V_n $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_y) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_x) V_y)) V_n) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) V_n)))))))
% 80.53/80.78  (assume a4889 (forall ((V_k_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_m_2) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_m_2) V_k_2))))))
% 80.53/80.78  (assume a4890 (forall ((V_k_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_b) V_m_2)) V_k_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_m_2) V_k_2))))))
% 80.53/80.78  (assume a4891 (forall ((V_k $$unsorted) (V_l $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Olinordered__idom T_a) (=> (= (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_l) (tptp.hAPP (tptp.c_Groups_Oabs__class_Oabs T_a) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_l) V_k))))))
% 80.53/80.78  (assume a4892 (forall ((V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_m_2) (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))) (= V_m_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)))))
% 80.53/80.78  (assume a4893 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.c_Groups_Oone__class_Oone T_a)) V_a)))))
% 80.53/80.78  (assume a4894 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.c_Groups_Ozero__class_Ozero T_a)) V_a)) (= V_a (tptp.c_Groups_Ozero__class_Ozero T_a))))))
% 80.53/80.78  (assume a4895 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_a)))))
% 80.53/80.78  (assume a4896 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_c)))))))
% 80.53/80.78  (assume a4897 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (= V_x_2 V_y_2) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y_2) V_x_2))))))
% 80.53/80.78  (assume a4898 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x_2) V_y_2)) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x_2) V_y_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y_2) V_x_2)))) (= V_x_2 V_y_2)))))
% 80.53/80.78  (assume a4899 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x_2) V_y_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y_2) V_x_2)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x_2) V_y_2)) (not (= V_x_2 V_y_2))))))
% 80.53/80.78  (assume a4900 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (not (= V_a V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b) V_a))))))))
% 80.53/80.78  (assume a4901 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)))))
% 80.53/80.78  (assume a4902 (forall ((V_x_2 $$unsorted) (V_y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y_2) V_x_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x_2) V_y_2)) (= V_x_2 V_y_2)))))
% 80.53/80.78  (assume a4903 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (= V_x V_y)))))
% 80.53/80.78  (assume a4904 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b)) (=> (not (= V_a V_b)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b) V_a))))))))
% 80.53/80.78  (assume a4905 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (= V_a V_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_c))))))
% 80.53/80.78  (assume a4906 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b)) (=> (= V_b V_c) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_c))))))
% 80.53/80.78  (assume a4907 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_m) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_n) V_m)) (= V_m V_n)))))
% 80.53/80.78  (assume a4908 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)) (= V_x V_y)))))
% 80.53/80.78  (assume a4909 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_z))))))
% 80.53/80.78  (assume a4910 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (= V_a V_b) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c) V_b)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c) V_a))))))))
% 80.53/80.78  (assume a4911 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_z) V_y)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_z) V_x))))))))
% 80.53/80.78  (assume a4912 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (not (= V_x V_y)))))
% 80.53/80.78  (assume a4913 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y))))))))
% 80.53/80.78  (assume a4914 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)))))
% 80.53/80.78  (assume a4915 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y))))))))
% 80.53/80.78  (assume a4916 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (not (= V_x V_y)))))
% 80.53/80.78  (assume a4917 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (not (= V_y V_x)))))
% 80.53/80.78  (assume a4918 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b) V_a)))) (=> (= V_b V_c) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c) V_a))))))))
% 80.53/80.78  (assume a4919 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_z)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_z) V_x))))))))
% 80.53/80.78  (assume a4920 (forall ((V_b $$unsorted) (V_a $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b) V_a)))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a) V_b))))))))
% 80.53/80.78  (assume a4921 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_z) V_y)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_z) V_x))))))))
% 80.53/80.78  (assume a4922 (forall ((V_y $$unsorted) (V_x $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x) V_y))))))))
% 80.53/80.78  (assume a4923 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_a_2) V_b_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_a_2) V_c_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_b) V_b_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_b) V_c_2) V_a_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_b_2) V_c_2))))))))
% 80.53/80.78  (assume a4924 (forall ((V_n $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_x) V_y)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_y) V_n)))))))
% 80.53/80.78  (assume a4925 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_k) (tptp.c_Divides_Odiv__class_Omod T_a V_m V_n))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_k) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_k) V_m)))))))
% 80.53/80.78  (assume a4926 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_k) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_k) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_k) (tptp.c_Divides_Odiv__class_Omod T_a V_m V_n))))))))
% 80.53/80.78  (assume a4927 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_c) V_b)) (= (tptp.c_Divides_Odiv__class_Omod T_a (tptp.c_Divides_Odiv__class_Omod T_a V_a V_b) V_c) (tptp.c_Divides_Odiv__class_Omod T_a V_a V_c))))))
% 80.53/80.78  (assume a4928 (forall ((V_m_2 $$unsorted) (V_na_2 $$unsorted) (V_k_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_b) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_k_2) V_na_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_k_2) (tptp.c_Divides_Odiv__class_Omod T_b V_m_2 V_na_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_k_2) V_m_2)))))))
% 80.53/80.78  (assume a4929 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Ocomm__ring__1 T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_x_2) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_x_2) V_y_2))))))
% 80.53/80.78  (assume a4930 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Ocomm__ring__1 T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_b) V_x_2)) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_x_2) V_y_2))))))
% 80.53/80.78  (assume a4931 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) V_m) V_n)))))))
% 80.53/80.78  (assume a4932 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__ring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_x) V_y)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_x) V_z)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_a) V_y) V_z))))))))
% 80.53/80.78  (assume a4933 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (= (tptp.c_Divides_Odiv__class_Omod T_a V_b V_a) (tptp.c_Groups_Ozero__class_Ozero T_a))))))
% 80.53/80.78  (assume a4934 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_a_2) V_b_2)) (= (tptp.c_Divides_Odiv__class_Omod T_b V_b_2 V_a_2) (tptp.c_Groups_Ozero__class_Ozero T_b))))))
% 80.53/80.78  (assume a4935 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_y) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_x) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_y)) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_x) V_y)))))))
% 80.53/80.78  (assume a4936 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Oring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_y) V_x)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) V_x)) V_y) (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_x) V_y)))))))
% 80.53/80.78  (assume a4937 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) V_m) V_n)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_n) V_m)))))))
% 80.53/80.78  (assume a4938 (forall ((V_m_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_m_2) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)))) (= V_m_2 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat))))))
% 80.53/80.78  (assume a4939 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_b_2)) (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c_2 V_d_2))) (and (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_b_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c_2) V_a_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b_2) V_d_2)) (or (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c_2) V_a_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_c_2)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b_2) V_d_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_d_2) V_b_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_c_2) V_d_2))))))
% 80.53/80.78  (assume a4940 (forall ((V_y $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_z) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_z) V_y)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_y) V_z))))))))
% 80.53/80.78  (assume a4941 (forall ((V_na_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat) V_na_2) V_k_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) V_na_2)))))
% 80.53/80.78  (assume a4942 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_a) V_b) V_c))))))))
% 80.53/80.78  (assume a4943 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_a_2 V_b_2)) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_b_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b_2) V_a_2))))))))
% 80.53/80.78  (assume a4944 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_k_2 V_l_2)) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) V_l_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_l_2) V_k_2))))))))
% 80.53/80.78  (assume a4945 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (= (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_a_2 V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_b_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b_2) V_a_2))))))))
% 80.53/80.78  (assume a4946 (forall ((V_l_2 $$unsorted) (V_k_2 $$unsorted)) (= (= (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_k_2 V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) V_l_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_l_2) V_k_2))))))))
% 80.53/80.78  (assume a4947 (forall ((V_k_2 $$unsorted) (V_l_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_l_2) V_k_2)) (= (tptp.c_SetInterval_Oord_OgreaterThanLessThan tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_k_2 V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4948 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b_2) V_a_2)) (= (tptp.c_SetInterval_Oord_OatLeastLessThan tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_a_2 V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4949 (forall ((V_k_2 $$unsorted) (V_l_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_l_2) V_k_2)) (= (tptp.c_SetInterval_Oord_OgreaterThanAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_k_2 V_l_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4950 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_b_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_b_2))))))
% 80.53/80.78  (assume a4951 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_b_2))))))
% 80.53/80.78  (assume a4952 (forall ((V_a_2 $$unsorted) (V_b_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_b_2) V_a_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2) V_b_2)))) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_b_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4953 (forall ((V_c_2 $$unsorted) (V_b_2 $$unsorted) (V_a_2 $$unsorted)) (= (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) V_c_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))) (and (= V_a_2 V_b_2) (= V_b_2 V_c_2)))))
% 80.53/80.78  (assume a4954 (forall ((V_a_2 $$unsorted)) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_a_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool))))))
% 80.53/80.78  (assume a4955 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted)) (=> (= V_a_2 V_b_2) (= (tptp.c_SetInterval_Oord_OatLeastAtMost tptp.tc_Nat_Onat (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_a_2 V_b_2) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.tc_Nat_Onat) V_a_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)))))))
% 80.53/80.78  (assume a4956 (forall ((V_t_2 $$unsorted) (V_D_2 $$unsorted) (V_d_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Rings_Ocomm__ring T_b) (tptp.class_Rings_Odvd T_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_d_2) V_D_2)) (forall ((B_x $$unsorted) (B_k $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_d_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) B_x) V_t_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_d_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) B_k) V_D_2))) V_t_2)))))))))
% 80.53/80.78  (assume a4957 (forall ((V_t_2 $$unsorted) (V_D_2 $$unsorted) (V_d_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Rings_Ocomm__ring T_b) (tptp.class_Rings_Odvd T_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_d_2) V_D_2)) (forall ((B_x $$unsorted) (B_k $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_d_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) B_x) V_t_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_d_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus T_b) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) B_k) V_D_2))) V_t_2)))))))))
% 80.53/80.78  (assume a4958 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted) (V_k_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_m_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_k_2) V_na_2))) (or (= V_k_2 (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_m_2) V_na_2))))))
% 80.53/80.78  (assume a4959 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_b) V_a)) V_b)))))
% 80.53/80.78  (assume a4960 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_c) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) V_c))))))
% 80.53/80.78  (assume a4961 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_b) V_a)) V_a) V_b)))))
% 80.53/80.78  (assume a4962 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_b) V_a)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c)) V_a))))))
% 80.53/80.78  (assume a4963 (forall ((V_w $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Divides_Osemiring__div T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_y) V_x)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_z) V_w)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) V_w) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Divides_Odiv__class_Odiv T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_x) V_w)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_y) V_z))))))))
% 80.53/80.78  (assume a4964 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b))))))
% 80.53/80.78  (assume a4965 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_a))))))
% 80.53/80.78  (assume a4966 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c)))))))
% 80.53/80.78  (assume a4967 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_c)))))))
% 80.53/80.78  (assume a4968 (forall ((V_d $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_c) V_d)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_d))))))))
% 80.53/80.78  (assume a4969 (forall ((V_k $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Odvd T_a) (=> (= V_a (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_b) V_k)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_b) V_a))))))
% 80.53/80.78  (assume a4970 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_a) V_c))))))
% 80.53/80.78  (assume a4971 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_a) V_a) V_b)) V_c)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_b) V_c))))))
% 80.53/80.78  (assume a4972 (forall ((V_b_2 $$unsorted) (V_a_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oidom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_a_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_c_2) V_b_2))) (or (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_a_2) V_b_2)))))))
% 80.53/80.78  (assume a4973 (forall ((V_b_2 $$unsorted) (V_c_2 $$unsorted) (V_a_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Rings_Oidom T_b) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_a_2) V_c_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_b_2) V_c_2))) (or (= V_c_2 (tptp.c_Groups_Ozero__class_Ozero T_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_a_2) V_b_2)))))))
% 80.53/80.78  (assume a4974 (forall ((V_l_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted)) (=> (and (tptp.class_Rings_Odvd T_b) (tptp.class_Rings_Osemiring__0 T_b)) (= (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes T_b) V_l_2) B_x)))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_b) V_l_2) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus T_b) B_x) (tptp.c_Groups_Ozero__class_Ozero T_b)))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))))))
% 80.53/80.78  (assume a4975 (forall ((V_f_2 $$unsorted) (V_i_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_c) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_i_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_c) (tptp.hAPP V_f_2 V_i_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Big__Operators_Ocomm__monoid__mult__class_Osetprod T_b T_c) V_f_2) V_A_2))))))))
% 80.53/80.78  (assume a4976 (forall ((V_x $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Rings_Ocomm__semiring__1 T_a) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_n)) (= V_x (tptp.c_Groups_Oone__class_Oone T_a))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower T_a) V_x) V_n)))))))
% 80.53/80.78  (assume a4977 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_m_2) V_na_2)) V_m_2)) (= V_na_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))
% 80.53/80.78  (assume a4978 (forall ((V_na_2 $$unsorted) (V_m_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) V_m_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat) V_na_2) V_m_2)) V_m_2)) (= V_na_2 (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat))))))
% 80.53/80.78  (assume a4979 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oorder T_b) (=> (tptp.c_Orderings_Oorder_Ostrict__mono tptp.tc_Nat_Onat T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) tptp.c_fconj)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)))) V_f_2) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_x_2) V_y_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_y_2) V_x_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))))))))
% 80.53/80.78  (assume a4980 (forall ((V_k_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite T_b) V_A_2)) (=> (tptp.c_Equiv__Relations_Oequiv T_b V_A_2 V_r_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b tptp.tc_HOL_Obool)) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Equiv__Relations_Oquotient T_b) V_A_2) V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat) V_k_2) (tptp.hAPP (tptp.c_Finite__Set_Ocard T_b) V_A_2))))))))
% 80.53/80.78  (assume a4981 (forall ((V_n $$unsorted) (V_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint) V_z) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_n)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) V_z) V_n))))))
% 80.53/80.78  (assume a4982 (forall ((V_n $$unsorted) (V_m $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_m)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint) (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint) V_m) V_n)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint) V_n) V_m)) (= V_m V_n)))))))
% 80.53/80.78  (assume a4983 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a4984 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice T_1) (tptp.class_Lattices_Obounded__lattice (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4985 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Complete__Lattice_Ocomplete__lattice T_1) (tptp.class_Complete__Lattice_Ocomplete__lattice (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4986 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice T_1) (tptp.class_Lattices_Obounded__lattice__top (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4987 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice T_1) (tptp.class_Lattices_Obounded__lattice__bot (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4988 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Olattice T_1) (tptp.class_Lattices_Osemilattice__sup (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4989 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Olattice T_1) (tptp.class_Lattices_Osemilattice__inf (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4990 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_1) (tptp.class_Lattices_Odistrib__lattice (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4991 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Oboolean__algebra T_1) (tptp.class_Lattices_Oboolean__algebra (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4992 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_1) (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4993 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (=> (and (tptp.class_Finite__Set_Ofinite T_2) (tptp.class_Finite__Set_Ofinite T_1)) (tptp.class_Finite__Set_Ofinite (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4994 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Olattice T_1) (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4995 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Oorder T_1) (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4996 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Otop T_1) (tptp.class_Orderings_Otop (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4997 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Oord T_1) (tptp.class_Orderings_Oord (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4998 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Obot T_1) (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a4999 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Groups_Ouminus T_1) (tptp.class_Groups_Ouminus (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a5000 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Groups_Ominus T_1) (tptp.class_Groups_Ominus (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a5001 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (=> (and (tptp.class_Enum_Oenum T_2) (tptp.class_Enum_Oenum T_1)) (tptp.class_Enum_Oenum (tptp.tc_fun T_2 T_1)))))
% 80.53/80.78  (assume a5002 (tptp.class_Nat_Osize tptp.tc_Com_Ocom))
% 80.53/80.78  (assume a5003 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5004 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5005 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5006 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5007 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5008 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5009 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5010 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5011 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5012 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5013 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5014 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5015 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5016 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5017 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5018 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5019 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5020 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5021 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5022 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5023 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5024 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5025 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5026 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5027 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5028 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5029 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5030 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5031 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5032 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5033 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5034 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5035 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5036 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5037 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5038 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5039 (tptp.class_Groups_Osemigroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5040 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5041 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5042 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5043 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5044 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5045 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5046 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5047 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5048 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5049 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5050 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5051 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5052 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5053 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5054 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5055 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5056 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5057 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5058 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5059 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5060 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5061 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5062 (tptp.class_Orderings_Oord tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5063 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5064 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5065 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5066 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5067 (tptp.class_Groups_Ominus tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5068 (tptp.class_Power_Opower tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5069 (tptp.class_Groups_Ozero tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5070 (tptp.class_Rings_Oring tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5071 (tptp.class_Rings_Oidom tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5072 (tptp.class_Int_Onumber tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5073 (tptp.class_Groups_Oone tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5074 (tptp.class_Rings_Odvd tptp.tc_Int_Oint))
% 80.53/80.78  (assume a5075 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5076 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5077 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5078 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5079 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5080 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5081 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5082 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5083 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5084 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5085 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5086 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5087 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5088 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5089 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5090 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5091 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5092 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5093 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5094 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5095 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5096 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5097 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5098 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5099 (tptp.class_Groups_Osemigroup__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5100 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5101 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5102 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5103 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5104 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5105 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5106 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5107 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5108 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5109 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5110 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5111 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5112 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5113 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5114 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5115 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5116 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5117 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5118 (tptp.class_Power_Opower tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5119 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5120 (tptp.class_Int_Onumber tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5121 (tptp.class_Groups_Oone tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5122 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5123 (tptp.class_Nat_Osize tptp.tc_Nat_Onat))
% 80.53/80.78  (assume a5124 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5125 (tptp.class_Lattices_Obounded__lattice__top tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5126 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5127 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5128 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5129 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5130 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5131 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5132 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5133 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5134 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5135 (tptp.class_Orderings_Otop tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5136 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5137 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5138 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5139 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5140 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5141 (tptp.class_Nat_Osize tptp.tc_HOL_Obool))
% 80.53/80.78  (assume a5142 (forall ((T_1 $$unsorted)) (=> (tptp.class_Lazy__Sequence_Osmall__lazy T_1) (tptp.class_Lazy__Sequence_Osmall__lazy (tptp.tc_List_Olist T_1)))))
% 80.53/80.78  (assume a5143 (forall ((T_1 $$unsorted)) (tptp.class_Nat_Osize (tptp.tc_List_Olist T_1))))
% 80.53/80.78  (assume a5144 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (=> (and (tptp.class_Finite__Set_Ofinite T_2) (tptp.class_Finite__Set_Ofinite T_1)) (tptp.class_Finite__Set_Ofinite (tptp.tc_sum T_2 T_1)))))
% 80.53/80.78  (assume a5145 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (=> (and (tptp.class_Enum_Oenum T_2) (tptp.class_Enum_Oenum T_1)) (tptp.class_Enum_Oenum (tptp.tc_sum T_2 T_1)))))
% 80.53/80.78  (assume a5146 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (tptp.class_Nat_Osize (tptp.tc_sum T_2 T_1))))
% 80.53/80.78  (assume a5147 (forall ((T_1 $$unsorted)) (=> (tptp.class_Finite__Set_Ofinite T_1) (tptp.class_Finite__Set_Ofinite (tptp.tc_Option_Ooption T_1)))))
% 80.53/80.78  (assume a5148 (forall ((T_1 $$unsorted)) (=> (tptp.class_Enum_Oenum T_1) (tptp.class_Enum_Oenum (tptp.tc_Option_Ooption T_1)))))
% 80.53/80.78  (assume a5149 (forall ((T_1 $$unsorted)) (tptp.class_Nat_Osize (tptp.tc_Option_Ooption T_1))))
% 80.53/80.78  (assume a5150 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (tptp.class_Nat_Osize (tptp.tc_Nitpick_Opair__box T_2 T_1))))
% 80.53/80.78  (assume a5151 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (=> (and (tptp.class_Lazy__Sequence_Osmall__lazy T_2) (tptp.class_Lazy__Sequence_Osmall__lazy T_1)) (tptp.class_Lazy__Sequence_Osmall__lazy (tptp.tc_prod T_2 T_1)))))
% 80.53/80.78  (assume a5152 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (=> (and (tptp.class_Finite__Set_Ofinite T_2) (tptp.class_Finite__Set_Ofinite T_1)) (tptp.class_Finite__Set_Ofinite (tptp.tc_prod T_2 T_1)))))
% 80.53/80.78  (assume a5153 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (=> (and (tptp.class_Enum_Oenum T_2) (tptp.class_Enum_Oenum T_1)) (tptp.class_Enum_Oenum (tptp.tc_prod T_2 T_1)))))
% 80.53/80.78  (assume a5154 (forall ((T_1 $$unsorted) (T_2 $$unsorted)) (tptp.class_Nat_Osize (tptp.tc_prod T_2 T_1))))
% 80.53/80.78  (assume a5155 (tptp.class_Lazy__Sequence_Osmall__lazy tptp.tc_Product__Type_Ounit))
% 80.53/80.78  (assume a5156 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit))
% 80.53/80.78  (assume a5157 (tptp.class_Enum_Oenum tptp.tc_Product__Type_Ounit))
% 80.53/80.78  (assume a5158 (tptp.class_Nat_Osize tptp.tc_Product__Type_Ounit))
% 80.53/80.78  (assume a5159 (tptp.class_Nat_Osize tptp.tc_Code__Evaluation_Oterm))
% 80.53/80.78  (assume a5160 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5161 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5162 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5163 (tptp.class_Groups_Olinordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5164 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5165 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5166 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5167 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5168 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5169 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5170 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5171 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5172 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5173 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5174 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5175 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5176 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5177 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5178 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5179 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5180 (tptp.class_Groups_Osemigroup__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5181 (tptp.class_Divides_Osemiring__div tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5182 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5183 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5184 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5185 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5186 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5187 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5188 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5189 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5190 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5191 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5192 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5193 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5194 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5195 (tptp.class_Groups_Ominus tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5196 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5197 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5198 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5199 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5200 (tptp.class_Rings_Odvd tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5201 (tptp.class_Nat_Osize tptp.tc_Code__Numeral_Ocode__numeral))
% 80.53/80.78  (assume a5202 (forall ((T_1 $$unsorted)) (tptp.class_Nat_Osize (tptp.tc_Lazy__Sequence_Olazy__sequence T_1))))
% 80.53/80.78  (assume a5203 (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_COMBI T_a) V_P) V_P)))
% 80.53/80.78  (assume a5204 (forall ((V_Q $$unsorted) (V_P $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK T_a T_b) V_P) V_Q) V_P)))
% 80.53/80.78  (assume a5205 (forall ((V_R_2 $$unsorted) (V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_d $$unsorted) (T_b $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_c T_b T_d) V_Pa_2) V_Q_2) V_R_2) (tptp.hAPP V_Pa_2 (tptp.hAPP V_Q_2 V_R_2)))))
% 80.53/80.78  (assume a5206 (forall ((V_R_2 $$unsorted) (V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_c T_d T_b) V_Pa_2) V_Q_2) V_R_2) (tptp.hAPP (tptp.hAPP V_Pa_2 V_R_2) V_Q_2))))
% 80.53/80.78  (assume a5207 (forall ((V_R_2 $$unsorted) (V_Q_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (T_d $$unsorted) (T_c $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_c T_d T_b) V_Pa_2) V_Q_2) V_R_2) (tptp.hAPP (tptp.hAPP V_Pa_2 V_R_2) (tptp.hAPP V_Q_2 V_R_2)))))
% 80.53/80.78  (assume a5208 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal V_x_2) V_y_2))) (= V_x_2 V_y_2))))
% 80.53/80.78  (assume a5209 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted)) (or (not (= V_x_2 V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal V_x_2) V_y_2)))))
% 80.53/80.78  (assume a5210 (not (tptp.hBOOL tptp.c_fFalse)))
% 80.53/80.78  (assume a5211 (tptp.hBOOL tptp.c_fTrue))
% 80.53/80.78  (assume a5212 (forall ((V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.c_fNot V_Pa_2))) (not (tptp.hBOOL V_Pa_2)))))
% 80.53/80.78  (assume a5213 (forall ((V_Pa_2 $$unsorted)) (or (not (not (tptp.hBOOL V_Pa_2))) (tptp.hBOOL (tptp.hAPP tptp.c_fNot V_Pa_2)))))
% 80.53/80.78  (assume a5214 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL V_Pa_2)) (not (tptp.hBOOL V_Q_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj V_Pa_2) V_Q_2)))))
% 80.53/80.78  (assume a5215 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj V_Pa_2) V_Q_2))) (tptp.hBOOL V_Pa_2))))
% 80.53/80.78  (assume a5216 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj V_Pa_2) V_Q_2))) (tptp.hBOOL V_Q_2))))
% 80.53/80.78  (assume a5217 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL V_Pa_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj V_Pa_2) V_Q_2)))))
% 80.53/80.78  (assume a5218 (forall ((V_Pa_2 $$unsorted) (V_Q_2 $$unsorted)) (or (not (tptp.hBOOL V_Q_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj V_Pa_2) V_Q_2)))))
% 80.53/80.78  (assume a5219 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fdisj V_Pa_2) V_Q_2))) (tptp.hBOOL V_Pa_2) (tptp.hBOOL V_Q_2))))
% 80.53/80.78  (assume a5220 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted)) (or (tptp.hBOOL V_Pa_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies V_Pa_2) V_Q_2)))))
% 80.53/80.78  (assume a5221 (forall ((V_Pa_2 $$unsorted) (V_Q_2 $$unsorted)) (or (not (tptp.hBOOL V_Q_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies V_Pa_2) V_Q_2)))))
% 80.53/80.78  (assume a5222 (forall ((V_Q_2 $$unsorted) (V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fimplies V_Pa_2) V_Q_2))) (not (tptp.hBOOL V_Pa_2)) (tptp.hBOOL V_Q_2))))
% 80.53/80.78  (assume a5223 (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofinite tptp.tc_Com_Opname) tptp.v_U)))
% 80.53/80.78  (assume a5224 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))
% 80.53/80.78  (assume a5225 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat) (tptp.hAPP tptp.c_Nat_OSuc tptp.v_n)) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.t_a) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))
% 80.53/80.78  (assume a5226 (= (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.t_a) tptp.v_G) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Finite__Set_Ocard tptp.t_a) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hAPP tptp.c_Nat_OSuc tptp.v_n))))
% 80.53/80.78  (assume a5227 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U)))
% 80.53/80.78  (assume a5228 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G))))
% 80.53/80.78  (assume a5229 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))
% 80.53/80.78  (assume a5230 true)
% 80.53/80.78  (step t1 (cl (=> (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) :rule implies_neg1)
% 80.53/80.78  (anchor :step t2)
% 80.53/80.78  (assume t2.a0 (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))
% 80.53/80.78  (step t2.t1 (cl (or (not (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule forall_inst :args ((:= T_b tptp.t_a) (:= V_A_2 tptp.v_U) (:= T_c tptp.tc_Com_Opname) (:= V_x_2 tptp.v_pn) (:= V_f_2 tptp.v_mgt__call)))
% 80.53/80.78  (step t2.t2 (cl (not (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule or :premises (t2.t1))
% 80.53/80.78  (step t2.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule resolution :premises (t2.t2 t2.a0))
% 80.53/80.78  (step t2 (cl (not (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule subproof :discharge (t2.a0))
% 80.53/80.78  (step t3 (cl (=> (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule resolution :premises (t1 t2))
% 80.53/80.78  (step t4 (cl (=> (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) (not (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule implies_neg2)
% 80.53/80.78  (step t5 (cl (=> (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) (=> (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule resolution :premises (t3 t4))
% 80.53/80.78  (step t6 (cl (=> (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule contraction :premises (t5))
% 80.53/80.78  (step t7 (cl (not (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule implies :premises (t6))
% 80.53/80.78  (step t8 (cl (not (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))) :rule or_pos)
% 80.53/80.78  (step t9 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (not (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule reordering :premises (t8))
% 80.53/80.78  (step t10 (cl (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule and_neg)
% 80.53/80.78  (step t11 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule reordering :premises (t10))
% 80.53/80.78  (step t12 (cl (not (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule equiv_pos1)
% 80.53/80.78  (step t13 (cl (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) (not (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))))) :rule reordering :premises (t12))
% 80.53/80.78  (step t14 (cl (=> (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))) :rule implies_neg1)
% 80.53/80.78  (anchor :step t15)
% 80.53/80.78  (assume t15.a0 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 80.53/80.78  (step t15.t1 (cl (or (not (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))))) :rule forall_inst :args ((:= V_B_2 (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)) (:= V_A_2 tptp.v_G) (:= V_x_2 (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (:= T_b tptp.t_a)))
% 80.53/80.78  (step t15.t2 (cl (not (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule or :premises (t15.t1))
% 80.53/80.78  (step t15.t3 (cl (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule resolution :premises (t15.t2 t15.a0))
% 80.53/80.78  (step t15 (cl (not (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule subproof :discharge (t15.a0))
% 80.53/80.78  (step t16 (cl (=> (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule resolution :premises (t14 t15))
% 80.53/80.78  (step t17 (cl (=> (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) (not (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))))) :rule implies_neg2)
% 80.53/80.78  (step t18 (cl (=> (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) (=> (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))))) :rule resolution :premises (t16 t17))
% 80.53/80.78  (step t19 (cl (=> (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))))) :rule contraction :premises (t18))
% 80.53/80.78  (step t20 (cl (not (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_b $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert T_b) V_x_2) V_A_2)) V_B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule implies :premises (t19))
% 80.53/80.78  (step t21 (cl (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) tptp.v_G)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule resolution :premises (t20 a52))
% 80.53/80.78  (step t22 (cl (not (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun tptp.t_a tptp.tc_HOL_Obool)) tptp.v_G) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule resolution :premises (t13 a5229 t21))
% 80.53/80.78  (step t23 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U))))) :rule resolution :premises (t11 a5224 t22))
% 80.53/80.78  (step t24 (cl (not (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.tc_Com_Opname) tptp.v_pn) tptp.v_U))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member tptp.t_a) (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) (tptp.hAPP (tptp.c_Set_Oimage tptp.tc_Com_Opname tptp.t_a tptp.v_mgt__call) tptp.v_U)))))) :rule resolution :premises (t9 a5227 t23))
% 80.53/80.78  (step t25 (cl (not (= (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (=> (= V_b_2 (tptp.hAPP V_f_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))) (not (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (=> (= V_b_2 (tptp.hAPP V_f_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) :rule equiv_pos2)
% 80.53/80.78  (step t26 (cl (= (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (=> (= V_b_2 (tptp.hAPP V_f_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (or (not (= V_b_2 (tptp.hAPP V_f_2 V_x_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))) :rule all_simplify)
% 80.53/80.78  (step t27 (cl (= (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (or (not (= V_b_2 (tptp.hAPP V_f_2 V_x_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_x_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))) :rule all_simplify)
% 80.53/80.78  (anchor :step t28 :args ((T_b $$unsorted) (:= T_b T_b) (V_A_2 $$unsorted) (:= V_A_2 V_A_2) (T_c $$unsorted) (:= T_c T_c) (V_x_2 $$unsorted) (:= V_x_2 V_x_2) (V_f_2 $$unsorted) (:= V_f_2 V_f_2)))
% 80.53/80.78  (step t28.t1 (cl (= T_b T_b)) :rule refl)
% 80.53/80.78  (step t28.t2 (cl (= V_A_2 V_A_2)) :rule refl)
% 80.53/80.78  (step t28.t3 (cl (= T_c T_c)) :rule refl)
% 80.53/80.78  (step t28.t4 (cl (= V_x_2 V_x_2)) :rule refl)
% 80.53/80.78  (step t28.t5 (cl (= V_f_2 V_f_2)) :rule refl)
% 80.53/80.78  (step t28.t6 (cl (= (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_x_2)) true)) :rule all_simplify)
% 80.53/80.78  (step t28.t7 (cl (= (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_x_2))) (not true))) :rule cong :premises (t28.t6))
% 80.53/80.78  (step t28.t8 (cl (= (not true) false)) :rule all_simplify)
% 80.53/80.78  (step t28.t9 (cl (= (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_x_2))) false)) :rule trans :premises (t28.t7 t28.t8))
% 80.53/80.78  (step t28.t10 (cl (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))))) :rule refl)
% 80.53/80.78  (step t28.t11 (cl (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) :rule refl)
% 80.53/80.78  (step t28.t12 (cl (= (or (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_x_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))) (or false (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) :rule cong :premises (t28.t9 t28.t10 t28.t11))
% 80.53/80.78  (step t28.t13 (cl (= (or false (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) :rule all_simplify)
% 80.53/80.78  (step t28.t14 (cl (= (or (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_x_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) :rule trans :premises (t28.t12 t28.t13))
% 80.53/80.78  (step t28 (cl (= (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (= (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_f_2 V_x_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))) :rule bind)
% 80.53/80.78  (step t29 (cl (= (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (or (not (= V_b_2 (tptp.hAPP V_f_2 V_x_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))) :rule trans :premises (t27 t28))
% 80.53/80.78  (step t30 (cl (= (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (V_b_2 $$unsorted)) (=> (= V_b_2 (tptp.hAPP V_f_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_b_2) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2))))))) :rule trans :premises (t26 t29))
% 80.53/80.78  (step t31 (cl (forall ((T_b $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_c) V_x_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP (tptp.c_Set_Oimage T_c T_b V_f_2) V_A_2)))))) :rule resolution :premises (t25 t30 a6))
% 80.60/80.84  (step t32 (cl) :rule resolution :premises (t7 t24 t31))
% 80.60/80.84  
% 80.60/80.84  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.mDphR0d4Bi/cvc5---1.0.5_24196.smt2
% 80.60/80.84  % cvc5---1.0.5 exiting
% 80.60/80.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------