TSTP Solution File: SCT134+1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SCT134+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n011.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 17:42:52 EDT 2024

% Result   : Theorem 30.83s 31.28s
% Output   : Proof 30.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19  % Problem    : SCT134+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.20  % Command    : do_cvc5 %s %d
% 0.20/0.41  % Computer : n011.cluster.edu
% 0.20/0.41  % Model    : x86_64 x86_64
% 0.20/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.41  % Memory   : 8042.1875MB
% 0.20/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.41  % CPULimit   : 300
% 0.20/0.41  % WCLimit    : 300
% 0.20/0.41  % DateTime   : Mon May 27 18:07:39 EDT 2024
% 0.20/0.41  % CPUTime    : 
% 0.45/0.73  %----Proving TF0_NAR, FOF, or CNF
% 30.83/31.28  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.83/31.28  --- Run --no-e-matching --full-saturate-quant at 5...
% 30.83/31.28  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.83/31.28  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.83/31.28  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.83/31.28  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 30.83/31.28  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.gQJIHOtJjH/cvc5---1.0.5_11599.smt2
% 30.83/31.28  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.gQJIHOtJjH/cvc5---1.0.5_11599.smt2
% 30.83/31.28  (assume a0 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted)) (=> (forall ((B_x $$unsorted)) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x))) (= V_f_2 V_g_2))))
% 30.83/31.28  (assume a1 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F))
% 30.83/31.28  (assume a2 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F))
% 30.83/31.28  (assume a3 (not (= tptp.v_a_H____ tptp.v_b_H____)))
% 30.83/31.28  (assume a4 (not (= tptp.v_a____ tptp.v_b_H____)))
% 30.83/31.28  (assume a5 (not (= tptp.v_b____ tptp.v_a_H____)))
% 30.83/31.28  (assume a6 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))))
% 30.83/31.28  (assume a7 (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i))))))
% 30.83/31.28  (assume a8 (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))))))
% 30.83/31.28  (assume a9 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf)))
% 30.83/31.28  (assume a10 (forall ((V_c_2 $$unsorted) (T_a $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (=> (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2)))) (not (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))))))))
% 30.83/31.28  (assume a11 (forall ((V_z_2 $$unsorted) (V_L_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L_2 V_z_2))) (and (not (= V_y_2 V_z_2)) (=> (= V_x_2 V_z_2) (not (= V_x_2 V_y_2))) (=> (not (= V_x_2 V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) V_L_2)))))))
% 30.83/31.28  (assume a12 (forall ((V_z_2 $$unsorted) (V_L_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L_2 V_z_2))) (and (not (= V_x_2 V_z_2)) (=> (= V_y_2 V_z_2) (not (= V_x_2 V_y_2))) (=> (not (= V_y_2 V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) V_L_2)))))))
% 30.83/31.28  (assume a13 (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a____) tptp.v_b____)) (tptp.hAPP tptp.v_P____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i))))))
% 30.83/31.28  (assume a14 (=> (not (= tptp.v_a____ tptp.v_a_H____)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_a____)) (tptp.hAPP tptp.v_F tptp.v_Q____)))))
% 30.83/31.28  (assume a15 (=> (not (= tptp.v_b____ tptp.v_b_H____)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_b____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____)))))
% 30.83/31.28  (assume a16 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_FunDef_Oin__rel T_a T_b V_R_2 V_x_2 V_y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x_2) V_y_2)) V_R_2)))))
% 30.83/31.28  (assume a17 (forall ((T_a $$unsorted) (V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_y_H_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_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) 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_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x_2) V_y_H_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x_2) V_y_2))) (tptp.c_Recdef_Osame__fst T_a T_b V_Pa_2 V_R_2)))))))
% 30.83/31.28  (assume a18 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nitpick_Orefl_H T_a V_r_2) (forall ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_x)) V_r_2))))))
% 30.83/31.28  (assume a19 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a____) tptp.v_b____)) (tptp.hAPP tptp.v_F tptp.v_P____))))
% 30.83/31.28  (assume a20 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_Pa_2 $$unsorted)) (= (forall ((B_x1 $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x1))) (forall ((B_a $$unsorted) (B_b $$unsorted)) (tptp.hBOOL (tptp.hAPP V_Pa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_a) B_b)))))))
% 30.83/31.28  (assume a21 (not (= tptp.v_a____ tptp.v_b____)))
% 30.83/31.28  (assume a22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf)))
% 30.83/31.28  (assume a23 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf)))
% 30.83/31.28  (assume a24 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a____) tptp.v_b____)) (tptp.hAPP tptp.v_F tptp.v_Q____))))
% 30.83/31.28  (assume a25 (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a____) tptp.v_b____)) (tptp.hAPP tptp.v_P____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a____) tptp.v_b____)) (tptp.hAPP tptp.v_Q____ B_i))))))
% 30.83/31.28  (assume a26 (forall ((V_A_2 $$unsorted) (T_a $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted)) (=> (= V_aa_2 V_ba_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_ba_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2))))))
% 30.83/31.28  (assume a27 (forall ((V_A_2 $$unsorted) (T_a $$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_a) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_y_2) V_A_2))))))
% 30.83/31.28  (assume a28 (forall ((V_x_2 $$unsorted) (T_a $$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_a) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_B_2))))))
% 30.83/31.28  (assume a29 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)))))
% 30.83/31.28  (assume a30 (forall ((V_b_H $$unsorted) (V_a_H $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_a_H) V_b_H)) (not (=> (= V_a V_a_H) (not (= V_b V_b_H)))))))
% 30.83/31.28  (assume a31 (forall ((V_b_Ha_2 $$unsorted) (V_a_Ha_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_a_Ha_2) V_b_Ha_2)) (and (= V_aa_2 V_a_Ha_2) (= V_ba_2 V_b_Ha_2)))))
% 30.83/31.28  (assume a32 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.hAPP tptp.v_F tptp.v_Q____)) tptp.c_Arrow__Order__Mirabelle_OLin)))
% 30.83/31.28  (assume a33 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_f1_2 $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Oprod_Oprod__rec T_b T_c T_a V_f1_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_aa_2) V_ba_2)) (tptp.hAPP (tptp.hAPP V_f1_2 V_aa_2) V_ba_2))))
% 30.83/31.28  (assume a34 (forall ((V_Fa_2 $$unsorted)) (= (tptp.c_Arrow__Order__Mirabelle_OIIA V_Fa_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP V_Fa_2 B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP V_Fa_2 B_xa)))))))))))))
% 30.83/31.28  (assume a35 (forall ((V_Fa_2 $$unsorted)) (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity V_Fa_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP V_Fa_2 B_x))))))))))
% 30.83/31.28  (assume a36 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (V_b_Ha_2 $$unsorted) (V_a_Ha_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_a_Ha_2) V_b_Ha_2))) (tptp.c_Wellfounded_Olex__prod T_a T_b V_r_2 V_s_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_a_Ha_2)) V_r_2)) (and (= V_aa_2 V_a_Ha_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_ba_2) V_b_Ha_2)) V_s_2)))))))
% 30.83/31.28  (assume a37 (forall ((V_i_2 $$unsorted)) (= (tptp.hAPP tptp.v_Q____ V_i_2) (tptp.c_HOL_OLet (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_If (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_a____) tptp.v_a_H____)) (tptp.hAPP tptp.v_P____ V_i_2)) (tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP tptp.v_P____ V_i_2) tptp.v_a_H____ tptp.v_a____)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.c_If (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_b____) tptp.v_b_H____))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.c_Arrow__Order__Mirabelle_Oabove) tptp.v_b____)) tptp.v_b_H____))))))
% 30.83/31.28  (assume a38 (forall ((V_i_2 $$unsorted) (V_Fa_2 $$unsorted)) (= (tptp.c_Arrow__Order__Mirabelle_Odictator V_Fa_2 V_i_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (= (tptp.hAPP V_Fa_2 B_x) (tptp.hAPP B_x V_i_2)))))))
% 30.83/31.28  (assume a39 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Ointernal__split T_b T_c T_a V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_aa_2) V_ba_2)) (tptp.hAPP (tptp.hAPP V_c_2 V_aa_2) V_ba_2))))
% 30.83/31.28  (assume a40 (forall ((V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (V_Fa_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Recdef_Owfrec__rel T_a T_b V_R_2 V_Fa_2 V_a1_2 (tptp.hAPP (tptp.hAPP V_Fa_2 V_a2_2) V_a1_2)) (exists ((B_g $$unsorted)) (and (= (tptp.hAPP (tptp.hAPP V_Fa_2 V_a2_2) V_a1_2) (tptp.hAPP (tptp.hAPP V_Fa_2 B_g) V_a1_2)) (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) V_a1_2)) V_R_2)) (tptp.c_Recdef_Owfrec__rel T_a T_b V_R_2 V_Fa_2 B_z (tptp.hAPP B_g B_z)))))))))
% 30.83/31.28  (assume a41 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_f_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2))) (tptp.hBOOL (tptp.c_Product__Type_Ocurry T_a T_b tptp.tc_HOL_Obool V_f_2 V_aa_2 V_ba_2)))))
% 30.83/31.28  (assume a42 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_aa_2) V_ba_2)) V_L_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_ba_2) V_aa_2)) V_L_2)))))))
% 30.83/31.28  (assume a43 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_F) (tptp.c_FuncSet_OPi (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) tptp.c_Arrow__Order__Mirabelle_OLin)))))
% 30.83/31.28  (assume a44 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Ocurry T_b T_c T_a V_c_2 V_x_2 V_y_2) (tptp.hAPP V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_x_2) V_y_2)))))
% 30.83/31.28  (assume a45 (forall ((V_L_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (not (= V_x_2 V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Oabove V_L_2) V_x_2) V_y_2)) tptp.c_Arrow__Order__Mirabelle_OLin))))))
% 30.83/31.28  (assume a46 (forall ((V_L_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted)) (=> (not (= V_x_2 V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L_2 V_x_2 V_y_2)) tptp.c_Arrow__Order__Mirabelle_OLin))))))
% 30.83/31.28  (assume a47 (forall ((V_L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) (tptp.c_COMBK (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) tptp.tc_Arrow__Order__Mirabelle_Oindi V_L_2)) tptp.c_Arrow__Order__Mirabelle_OProf)))))
% 30.83/31.28  (assume a48 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_L_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted)) (=> (not (= V_aa_2 V_ba_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Oabove V_L_2) V_aa_2) V_ba_2))) (and (not (= V_x_2 V_y_2)) (=> (= V_x_2 V_ba_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_aa_2) V_y_2)) V_L_2))) (=> (not (= V_x_2 V_ba_2)) (and (=> (= V_y_2 V_ba_2) (or (= V_x_2 V_aa_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_aa_2)) V_L_2)))) (=> (not (= V_y_2 V_ba_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) V_L_2)))))))))))
% 30.83/31.28  (assume a49 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_L_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted)) (=> (not (= V_aa_2 V_ba_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) (tptp.c_Arrow__Order__Mirabelle_Obelow V_L_2 V_aa_2 V_ba_2))) (and (not (= V_x_2 V_y_2)) (=> (= V_y_2 V_aa_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_ba_2)) V_L_2))) (=> (not (= V_y_2 V_aa_2)) (and (=> (= V_x_2 V_aa_2) (or (= V_y_2 V_ba_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_ba_2) V_y_2)) V_L_2)))) (=> (not (= V_x_2 V_aa_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) V_L_2)))))))))))
% 30.83/31.28  (assume a50 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.c_Product__Type_Ocurry T_a T_b tptp.tc_HOL_Obool V_f_2 V_aa_2 V_ba_2)) (tptp.hBOOL (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2))))))
% 30.83/31.28  (assume a51 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.c_Product__Type_Ocurry T_a T_b tptp.tc_HOL_Obool V_f_2 V_aa_2 V_ba_2)) (tptp.hBOOL (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2))))))
% 30.83/31.28  (assume a52 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_f_2 $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.c_Product__Type_Ocurry T_b T_c T_a V_f_2 V_aa_2 V_ba_2) (tptp.hAPP V_f_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_c) V_aa_2) V_ba_2)))))
% 30.83/31.28  (assume a53 (forall ((V_x_2 $$unsorted) (V_L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.c_Arrow__Order__Mirabelle_Omktop V_L_2 V_x_2)) tptp.c_Arrow__Order__Mirabelle_OLin)))))
% 30.83/31.28  (assume a54 (forall ((V_x_2 $$unsorted) (V_L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.c_Arrow__Order__Mirabelle_Omkbot V_L_2 V_x_2)) tptp.c_Arrow__Order__Mirabelle_OLin)))))
% 30.83/31.28  (assume a55 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) V_L_2) tptp.c_Arrow__Order__Mirabelle_OLin)) (=> (not (= V_x_2 V_y_2)) (= (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_x_2) V_y_2)) V_L_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_y_2) V_x_2)) V_L_2)))))))
% 30.83/31.28  (assume a56 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_S_2)) (= V_R_2 V_S_2))))
% 30.83/31.28  (assume a57 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_S_2)) (= V_R_2 V_S_2))))
% 30.83/31.28  (assume a58 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted)) (=> (not (= V_aa_2 V_ba_2)) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) B_x) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) V_aa_2) V_ba_2)) B_x)))))))
% 30.83/31.28  (assume a59 (forall ((V_a2_2 $$unsorted) (V_a1_2 $$unsorted) (V_Fa_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Recdef_Owfrec__rel T_a T_b V_R_2 V_Fa_2 V_a1_2 V_a2_2) (exists ((B_g $$unsorted)) (and (= V_a2_2 (tptp.hAPP (tptp.hAPP V_Fa_2 B_g) V_a1_2)) (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) V_a1_2)) V_R_2)) (tptp.c_Recdef_Owfrec__rel T_a T_b V_R_2 V_Fa_2 B_z (tptp.hAPP B_g B_z)))))))))
% 30.83/31.28  (assume a60 (forall ((V_g_2 $$unsorted) (V_Fa_2 $$unsorted) (T_b $$unsorted) (V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) V_x_2)) V_R_2)) (tptp.c_Recdef_Owfrec__rel T_a T_b V_R_2 V_Fa_2 B_z (tptp.hAPP V_g_2 B_z)))) (tptp.c_Recdef_Owfrec__rel T_a T_b V_R_2 V_Fa_2 V_x_2 (tptp.hAPP (tptp.hAPP V_Fa_2 V_g_2) V_x_2)))))
% 30.83/31.28  (assume a61 (forall ((V_i_2 $$unsorted) (V_Fa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) V_Fa_2) (tptp.c_FuncSet_OPi (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool)) tptp.c_Arrow__Order__Mirabelle_OLin)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (not (= B_a B_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x V_i_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP V_Fa_2 B_x)))))))) (tptp.c_Arrow__Order__Mirabelle_Odictator V_Fa_2 V_i_2)))))
% 30.83/31.28  (assume a62 (forall ((V_r_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Wellfounded_Oacc T_a V_r_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) V_aa_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) (tptp.c_Wellfounded_Oacc T_a V_r_2))))))))
% 30.83/31.28  (assume a63 (forall ((V_aa_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_ba_2) (tptp.c_Wellfounded_Oacc T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Wellfounded_Oacc T_a V_r_2)))))))
% 30.83/31.28  (assume a64 (forall ((T_b $$unsorted) (V_aa_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted) (B_f $$unsorted) (B_R $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_aa_2)) B_R)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut T_a T_b) B_f) B_R) V_aa_2) V_x_2) (tptp.hAPP B_f V_x_2)))))
% 30.83/31.28  (assume a65 (forall ((V_g_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut T_a T_b) V_f_2) V_r_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut T_a T_b) V_g_2) V_r_2) V_x_2)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_y) V_x_2)) V_r_2)) (= (tptp.hAPP V_f_2 B_y) (tptp.hAPP V_g_2 B_y)))))))
% 30.83/31.28  (assume a66 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.hAPP tptp.c_fequal V_y_2))) (= V_x_2 V_y_2))))
% 30.83/31.28  (assume a67 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (V_r_2 $$unsorted) (V_aa_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_aa_2)) V_r_2)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut T_a T_b) V_f_2) V_r_2) V_aa_2) V_x_2) (tptp.hAPP V_f_2 V_x_2)))))
% 30.83/31.28  (assume a68 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_B_2 V_x_2)))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)))))))
% 30.83/31.28  (assume a69 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) 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)) V_B_2))))))
% 30.83/31.28  (assume a70 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) 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 V_B_2 V_x_2)))))))
% 30.83/31.28  (assume a71 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_a)) (tptp.c_COMBI T_a)) (tptp.c_FuncSet_OPi T_a T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a V_A_2))))))
% 30.83/31.28  (assume a72 (forall ((V_Fa_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_Recdef_Oadm__wf T_a T_b V_R_2 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_a T_b) (tptp.tc_fun T_a T_a) (tptp.tc_fun T_a T_b)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_a (tptp.tc_fun T_a T_b)) (tptp.tc_fun (tptp.tc_fun T_a T_a) (tptp.tc_fun T_a T_b)) (tptp.tc_fun T_a T_b) (tptp.c_COMBS T_a T_a T_b)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_a (tptp.tc_fun T_a T_b)) (tptp.tc_fun T_a (tptp.tc_fun T_a T_b)) (tptp.tc_fun T_a T_b) (tptp.c_COMBB (tptp.tc_fun T_a T_b) (tptp.tc_fun T_a T_b) T_a V_Fa_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC (tptp.tc_fun T_a T_b) (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.tc_fun T_a (tptp.tc_fun T_a T_b))) (tptp.c_Recdef_Ocut T_a T_b)) V_R_2)))) (tptp.c_COMBI T_a)))))
% 30.83/31.28  (assume a73 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_a (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.tc_fun T_a tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_a (tptp.tc_prod T_a T_a)) (tptp.tc_fun T_a (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_a) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_a (tptp.c_member (tptp.tc_prod T_a T_a)))) (tptp.c_Product__Type_OPair T_a T_a)))) V_r_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.c_Wellfounded_Oacc T_a V_r_2))))))
% 30.83/31.28  (assume a74 (forall ((V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.c_Wellfounded_Oacc T_a V_R_2)))) (not (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) V_x_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_z) (tptp.c_Wellfounded_Oacc T_a V_R_2)))))))))
% 30.83/31.28  (assume a75 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_y) V_x_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_y) (tptp.c_Wellfounded_Oacc T_a V_r_2))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.c_Wellfounded_Oacc T_a V_r_2))))))
% 30.83/31.28  (assume a76 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (V_r_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_a $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_y_2) V_x_2)) V_r_2)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut T_a T_b) V_f_2) V_r_2) V_x_2) V_y_2) (tptp.hAPP V_f_2 V_y_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_y_2) V_x_2)) V_r_2))) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut T_a T_b) V_f_2) V_r_2) V_x_2) V_y_2) (tptp.c_HOL_Oundefined T_b))))))
% 30.83/31.28  (assume a77 (forall ((V_aa_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_aa_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 B_x) V_aa_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) B_x)))))))
% 30.83/31.28  (assume a78 (forall ((V_aa_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_aa_2)) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 B_x) V_aa_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) B_x)))))))
% 30.83/31.28  (assume a79 (forall ((V_aa_2 $$unsorted) (V_ba_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_ba_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_aa_2) V_ba_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_aa_2))))))
% 30.83/31.28  (assume a80 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2))) (= (tptp.hAPP V_f_2 V_x_2) (tptp.c_HOL_Oundefined T_b))))))
% 30.83/31.28  (assume a81 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_B_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2))))))
% 30.83/31.28  (assume a82 (forall ((V_Fa_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Recdef_Oadm__wf T_a T_b V_R_2 V_Fa_2) (forall ((B_f $$unsorted) (B_g $$unsorted) (B_x $$unsorted)) (=> (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) B_x)) V_R_2)) (= (tptp.hAPP B_f B_z) (tptp.hAPP B_g B_z)))) (= (tptp.hAPP (tptp.hAPP V_Fa_2 B_f) B_x) (tptp.hAPP (tptp.hAPP V_Fa_2 B_g) B_x)))))))
% 30.83/31.28  (assume a83 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 B_x)) V_B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))))))
% 30.83/31.28  (assume a84 (forall ((V_x_2 $$unsorted) (V_T_2 $$unsorted) (V_S_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional__funcset T_a T_b V_S_2 V_T_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_S_2))) (= (tptp.hAPP V_f_2 V_x_2) (tptp.c_HOL_Oundefined T_b))))))
% 30.83/31.28  (assume a85 (forall ((V_B_2 $$unsorted) (T_b $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_w $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_w) V_A_2)) (= (tptp.hAPP V_f_2 B_w) (tptp.hAPP V_g_2 B_w)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_g_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2)))))))
% 30.83/31.28  (assume a86 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_B_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2))))))
% 30.83/31.28  (assume a87 (forall ((V_C_2 $$unsorted) (V_g_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b T_c)) V_g_2) (tptp.c_FuncSet_OPi T_b T_c V_B_2 (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b V_C_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_c)) (tptp.c_FuncSet_Ocompose T_a T_b T_c V_A_2 V_g_2 V_f_2)) (tptp.c_FuncSet_OPi T_a T_c V_A_2 (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_a V_C_2))))))))
% 30.83/31.28  (assume a88 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (V_A_2 $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) (tptp.c_FuncSet_Ocompose T_a T_c T_b V_A_2 V_f_2 V_g_2)) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2)))))
% 30.83/31.28  (assume a89 (forall ((V_f_2 $$unsorted) (V_g_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_FuncSet_Ocompose T_a T_c T_b V_A_2 V_g_2 V_f_2) V_x_2) (tptp.hAPP V_g_2 (tptp.hAPP V_f_2 V_x_2))))))
% 30.83/31.28  (assume a90 (forall ((V_x_2 $$unsorted) (V_T_2 $$unsorted) (V_S_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional__funcset T_a T_b V_S_2 V_T_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_S_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 V_x_2)) V_T_2))))))
% 30.83/31.28  (assume a91 (forall ((V_D_2 $$unsorted) (V_h_2 $$unsorted) (T_d $$unsorted) (V_C_2 $$unsorted) (V_g_2 $$unsorted) (T_c $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b T_c)) V_g_2) (tptp.c_FuncSet_OPi T_b T_c V_B_2 (tptp.c_COMBK (tptp.tc_fun T_c tptp.tc_HOL_Obool) T_b V_C_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_c T_d)) V_h_2) (tptp.c_FuncSet_OPi T_c T_d V_C_2 (tptp.c_COMBK (tptp.tc_fun T_d tptp.tc_HOL_Obool) T_c V_D_2)))) (= (tptp.c_FuncSet_Ocompose T_a T_c T_d V_A_2 V_h_2 (tptp.c_FuncSet_Ocompose T_a T_b T_c V_A_2 V_g_2 V_f_2)) (tptp.c_FuncSet_Ocompose T_a T_b T_d V_A_2 (tptp.c_FuncSet_Ocompose T_b T_c T_d V_B_2 V_h_2 V_g_2) V_f_2)))))))
% 30.83/31.28  (assume a92 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_g_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_g_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_g_2) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2))) (= (tptp.c_FuncSet_Ocompose T_a T_a T_b V_A_2 V_g_2 (tptp.c_FuncSet_Orestrict T_a T_a (tptp.c_COMBI T_a) V_A_2)) V_g_2)))))
% 30.83/31.28  (assume a93 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2))) (= (tptp.c_FuncSet_Ocompose T_a T_b T_b V_A_2 (tptp.c_FuncSet_Orestrict T_b T_b (tptp.c_COMBI T_b) V_B_2) V_f_2) V_f_2)))))
% 30.83/31.28  (assume a94 (forall ((V_g_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_g_2) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (= (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x)))) (= V_f_2 V_g_2))))))
% 30.83/31.28  (assume a95 (forall ((V_T_2 $$unsorted) (V_S_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_FuncSet_Oextensional__funcset T_a T_b V_S_2 V_T_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_fun T_a T_b) tptp.tc_HOL_Obool)) (tptp.c_FuncSet_OPi T_a T_b V_S_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_T_2))) (tptp.c_FuncSet_Oextensional T_a T_b V_S_2)))))
% 30.83/31.28  (assume a96 (forall ((V_r_2 $$unsorted) (V_aa_2 $$unsorted) (V_ba_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_aa_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Wellfounded_Oacc T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_ba_2) (tptp.c_Wellfounded_Oacc T_a V_r_2)))))))
% 30.83/31.28  (assume a97 (forall ((V_ba_2 $$unsorted) (V_r_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Wellfounded_Oacc T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_aa_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_ba_2) (tptp.c_Wellfounded_Oacc T_a V_r_2)))))))
% 30.83/31.28  (assume a98 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2) V_x_2) (tptp.hAPP V_f_2 V_x_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2) V_x_2) (tptp.c_HOL_Oundefined T_b))))))
% 30.83/31.28  (assume a99 (forall ((V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)) (= (tptp.hAPP (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2) V_x_2) (tptp.hAPP V_f_2 V_x_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2))) (= (tptp.hAPP (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2) V_x_2) (tptp.c_HOL_Oundefined T_b))))))
% 30.83/31.28  (assume a100 (forall ((T_a $$unsorted) (V_B_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)) (=> (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2))))))
% 30.83/31.28  (assume a101 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (not (=> (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)) (not (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2))))))))
% 30.83/31.28  (assume a102 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))))
% 30.83/31.28  (assume a103 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))))))))
% 30.83/31.28  (assume a104 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2)))))
% 30.83/31.28  (assume a105 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2)))))
% 30.83/31.28  (assume a106 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_A_2) V_A_2)))
% 30.83/31.28  (assume a107 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_B_2) V_A_2))))
% 30.83/31.28  (assume a108 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 30.83/31.28  (assume a109 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 30.83/31.28  (assume a110 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 30.83/31.28  (assume a111 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))))))
% 30.83/31.28  (assume a112 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)))))
% 30.83/31.28  (assume a113 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2)))))
% 30.83/31.28  (assume a114 (forall ((V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_S_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 30.83/31.28  (assume a115 (forall ((V_f_2 $$unsorted) (V_g_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted)) (= (tptp.c_FuncSet_Ocompose T_a T_c T_b V_A_2 V_g_2 V_f_2) (tptp.c_FuncSet_Orestrict T_a T_b (tptp.hAPP (tptp.c_COMBB T_c T_b T_a V_g_2) V_f_2) V_A_2))))
% 30.83/31.28  (assume a116 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2)) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2)))))
% 30.83/31.28  (assume a117 (forall ((V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2))) (= (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2) V_f_2))))
% 30.83/31.28  (assume a118 (forall ((V_r_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_aa_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2)))))
% 30.83/31.28  (assume a119 (forall ((V_r_2 $$unsorted) (V_p_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_p_2) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_p_2) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))))))
% 30.83/31.28  (assume a120 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a121 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a122 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a123 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b T_a)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 30.83/31.28  (assume a124 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 B_x)) (tptp.hAPP V_B_2 B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2)) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2))))))
% 30.83/31.28  (assume a125 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_S_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x_2) V_y_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 30.83/31.28  (assume a126 (forall ((V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_a) V_a))))
% 30.83/31.28  (assume a127 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_x) V_x))))
% 30.83/31.28  (assume a128 (forall ((V_b $$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)))))
% 30.83/31.28  (assume a129 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_x)))))
% 30.83/31.28  (assume a130 (forall ((V_y $$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)))))
% 30.83/31.28  (assume a131 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)))))
% 30.83/31.28  (assume a132 (forall ((V_y $$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)))))
% 30.83/31.28  (assume a133 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)))))
% 30.83/31.28  (assume a134 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_b) V_c))))))
% 30.83/31.28  (assume a135 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z))))))
% 30.83/31.28  (assume a136 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z))))))
% 30.83/31.28  (assume a137 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_b) V_c))))))
% 30.83/31.28  (assume a138 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z))))))
% 30.83/31.28  (assume a139 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_z) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z))))))
% 30.83/31.28  (assume a140 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))))
% 30.83/31.28  (assume a141 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b T_a)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 30.83/31.28  (assume a142 (forall ((V_B_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) (tptp.hAPP V_f_2 B_x)) V_B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) (tptp.c_FuncSet_Orestrict T_a T_b V_f_2 V_A_2)) (tptp.c_FuncSet_OPi T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))))))
% 30.83/31.28  (assume a143 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_a T_a V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_z_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_y_2) V_z_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_z_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2)))))))))
% 30.83/31.28  (assume a144 (forall ((V_y_2 $$unsorted) (V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.c_Relation_ODomain T_a T_a V_R_2)))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))) (= V_x_2 V_y_2)))))
% 30.83/31.28  (assume a145 (forall ((V_Pa_2 $$unsorted) (V_r_2 $$unsorted) (V_by_2 $$unsorted) (V_bx_2 $$unsorted) (V_ay_2 $$unsorted) (V_ax_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_ax_2) V_ay_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_bx_2) V_by_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_a T_b) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_ax_2) V_ay_2)) (=> (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_ax_2) V_ay_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_a) B_b))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_a T_b) V_r_2))) (forall ((B_aa $$unsorted) (B_ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_a) B_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_aa) B_ba))) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) B_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_aa) B_ba))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_bx_2) V_by_2)))))))
% 30.83/31.28  (assume a146 (forall ((V_Pa_2 $$unsorted) (V_r_2 $$unsorted) (V_by_2 $$unsorted) (V_bx_2 $$unsorted) (V_ay_2 $$unsorted) (V_ax_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_ax_2) V_ay_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_bx_2) V_by_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_a T_b) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_bx_2) V_by_2)) (=> (forall ((B_a $$unsorted) (B_b $$unsorted) (B_aa $$unsorted) (B_ba $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_a) B_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_aa) B_ba))) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_aa) B_ba)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_bx_2) V_by_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_a T_b) V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_aa) B_ba)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 B_a) B_b)))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_ax_2) V_ay_2)))))))
% 30.83/31.28  (assume a147 (forall ((V_r_2 $$unsorted) (V_zb_2 $$unsorted) (V_za_2 $$unsorted) (V_xb_2 $$unsorted) (V_xa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_xa_2) V_xb_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_za_2) V_zb_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_a T_b) V_r_2))) (=> (not (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_xa_2) V_xb_2) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) 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_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_xa_2) V_xb_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_a) B_b))) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b))) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair (tptp.tc_prod T_a T_b) (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_a) B_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_za_2) V_zb_2))) (tptp.c_Transitive__Closure_Ortrancl (tptp.tc_prod T_a T_b) V_r_2)))))))))))
% 30.83/31.28  (assume a148 (forall ((V_Pa_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_aa_2)) (=> (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) B_y)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_y) B_z)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_y)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_z))))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_ba_2)))))))
% 30.83/31.28  (assume a149 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_B_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2))))))
% 30.83/31.28  (assume a150 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2))))))))
% 30.83/31.28  (assume a151 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2)))))
% 30.83/31.28  (assume a152 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2)))))
% 30.83/31.28  (assume a153 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Relation_ODomain T_a T_b V_r_2))))))
% 30.83/31.28  (assume a154 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Relation_ODomain T_a T_b V_r_2))) (exists ((B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) B_y)) V_r_2))))))
% 30.83/31.28  (assume a155 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Osingle__valued T_a 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_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_x) B_y)) V_r_2)) (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_x) B_z)) V_r_2)) (= B_y B_z))))))))
% 30.83/31.28  (assume a156 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Relation_Osingle__valued T_a T_b V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x_2) V_y_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_x_2) V_z_2)) V_r_2)) (= V_y_2 V_z_2))))))
% 30.83/31.28  (assume a157 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Predicate_ODomainP T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_r_2) V_x_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.c_Relation_ODomain T_a T_b V_r_2))))))
% 30.83/31.28  (assume a158 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Relation_ODomain T_a T_b V_r_2))) (not (forall ((B_y $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) B_y)) V_r_2))))))))
% 30.83/31.28  (assume a159 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_aa_2) V_ba_2)) (tptp.c_Predicate_ODomainP T_a T_b V_r_2 V_aa_2))))
% 30.83/31.28  (assume a160 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Oirrefl T_a V_r_2) (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_x)) V_r_2)))))))
% 30.83/31.28  (assume a161 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_ba_2) (tptp.c_Relation_ORange T_a T_b V_r_2))))))
% 30.83/31.28  (assume a162 (forall ((V_A_2 $$unsorted) (T_a $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted)) (=> (= V_aa_2 V_ba_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Relation_OId__on T_a V_A_2)))))))
% 30.83/31.28  (assume a163 (forall ((V_A_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Relation_OId__on T_a V_A_2))) (and (= V_x_2 V_y_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2))))))
% 30.83/31.28  (assume a164 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted) (B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_x) B_y)) V_r_2)) (forall ((B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_x) B_z)) V_r_2)) (= B_y B_z))))) (tptp.c_Relation_Osingle__valued T_a T_b V_r_2))))
% 30.83/31.28  (assume a165 (forall ((V_Pa_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_ba_2)) (=> (forall ((B_y $$unsorted) (B_z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_y) B_z)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 B_z)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_y)))))) (tptp.hBOOL (tptp.hAPP V_Pa_2 V_aa_2)))))))
% 30.83/31.28  (assume a166 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange T_a T_a (tptp.c_Relation_OId__on T_a V_A_2)) V_A_2)))
% 30.83/31.28  (assume a167 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain T_a T_a (tptp.c_Relation_OId__on T_a V_A_2)) V_A_2)))
% 30.83/31.28  (assume a168 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Osingle__valued T_a T_a (tptp.c_Relation_OId__on T_a V_A_2))))
% 30.83/31.28  (assume a169 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Relation_ORange T_b T_a V_r_2))) (exists ((B_y $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_a) B_y) V_aa_2)) V_r_2))))))
% 30.83/31.28  (assume a170 (forall ((V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Predicate_ORangeP T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_r_2) V_x_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_x_2) (tptp.c_Relation_ORange T_a T_b V_r_2))))))
% 30.83/31.28  (assume a171 (forall ((V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_c_2) (tptp.c_Relation_OId__on T_a V_A_2))) (not (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (not (= V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_x)))))))))
% 30.83/31.28  (assume a172 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (V_ba_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_ba_2) (tptp.c_Relation_ORange T_b T_a V_r_2))) (not (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_a) B_x) V_ba_2)) V_r_2))))))))
% 30.83/31.28  (assume a173 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (not (= V_aa_2 V_ba_2)) (not (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) B_y)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_y) V_ba_2)) V_r_2))))))))))
% 30.83/31.28  (assume a174 (forall ((V_r_2 $$unsorted) (V_z_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_z_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (not (= V_x_2 V_z_2)) (not (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) B_y)) V_r_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_y) V_z_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2)))))))))))
% 30.83/31.28  (assume a175 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_aa_2) V_ba_2)) (tptp.c_Predicate_ORangeP T_a T_b V_r_2 V_ba_2))))
% 30.83/31.28  (assume a176 (forall ((V_a2_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Predicate_ORangeP T_a T_b V_r_2 V_a2_2) (exists ((B_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 B_a) V_a2_2))))))
% 30.83/31.28  (assume a177 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Ototal__on T_a V_A_2 V_r_2) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_xa) V_A_2)) (=> (not (= B_x B_xa)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_xa)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_xa) B_x)) V_r_2)))))))))))
% 30.83/31.28  (assume a178 (forall ((V_f_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Relation_Oinv__image T_b T_a V_r_2 V_f_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_b T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_b) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_f_2 V_y_2))) V_r_2)))))
% 30.83/31.28  (assume a179 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_a V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_y_2) V_A_2))))))
% 30.83/31.28  (assume a180 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_a V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2))))))
% 30.83/31.28  (assume a181 (forall ((V_aa_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_a V_A_2 V_r_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_aa_2)) V_r_2))))))
% 30.83/31.28  (assume a182 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Orefl__on T_a V_A_2 (tptp.c_Relation_OId__on T_a V_A_2))))
% 30.83/31.28  (assume a183 (forall ((V_s_2 $$unsorted) (V_B_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_a V_A_2 V_r_2) (=> (tptp.c_Relation_Orefl__on T_a V_B_2 V_s_2) (tptp.c_Relation_Orefl__on T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a 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_a T_a) tptp.tc_HOL_Obool)) V_r_2) V_s_2))))))
% 30.83/31.28  (assume a184 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))))))
% 30.83/31.28  (assume a185 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Relation_ORange T_b T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_b T_a) 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_a tptp.tc_HOL_Obool)) (tptp.c_Relation_ORange T_b T_a V_A_2)) (tptp.c_Relation_ORange T_b T_a V_B_2)))))
% 30.83/31.28  (assume a186 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Relation_ODomain T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_a 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_a tptp.tc_HOL_Obool)) (tptp.c_Relation_ODomain T_a T_b V_A_2)) (tptp.c_Relation_ODomain T_a T_b V_B_2)))))
% 30.83/31.28  (assume a187 (forall ((V_xa_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_a (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.tc_fun T_a tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_a (tptp.tc_prod T_a T_a)) (tptp.tc_fun T_a (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_a) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_a (tptp.c_member (tptp.tc_prod T_a T_a)))) (tptp.c_Product__Type_OPair T_a T_a)))) V_r_2)) V_x_2) V_xa_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_xa_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))))))
% 30.83/31.28  (assume a188 (forall ((V_x_2 $$unsorted) (V_Fa_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nitpick_Owf__wfrec_H T_b T_a V_R_2 V_Fa_2 V_x_2) (tptp.hAPP (tptp.hAPP V_Fa_2 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut T_b T_a) (tptp.c_Nitpick_Owf__wfrec T_b T_a V_R_2 V_Fa_2)) V_R_2) V_x_2)) V_x_2))))
% 30.83/31.28  (assume a189 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_A_2) (= V_A_2 V_B_2)))))
% 30.83/31.28  (assume a190 (forall ((T_a $$unsorted) (V_y_2 $$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.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_x_2) V_y_2)))))
% 30.83/31.28  (assume a191 (forall ((V_aa_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_aa_2) V_aa_2))))
% 30.83/31.28  (assume a192 (forall ((V_c_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))))))
% 30.83/31.28  (assume a193 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))))))
% 30.83/31.28  (assume a194 (forall ((V_r_2 $$unsorted) (V_p_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_p_2) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_p_2) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))))))
% 30.83/31.28  (assume a195 (forall ((V_B_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (V_A_H_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_H_2 V_A_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_a T_b) tptp.tc_HOL_Obool) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2) (tptp.c_FuncSet_OPi T_a T_b V_A_H_2 V_B_2)))))
% 30.83/31.28  (assume a196 (forall ((T_a $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (not (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (not (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_A_2)))))))
% 30.83/31.28  (assume a197 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_C_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2)))))
% 30.83/31.28  (assume a198 (forall ((T_a $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_A_2))))
% 30.83/31.28  (assume a199 (forall ((T_a $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 V_B_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2))))
% 30.83/31.28  (assume a200 (forall ((T_a $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted)) (= (= V_A_2 V_B_2) (and (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_A_2)))))
% 30.83/31.28  (assume a201 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_A_2)))
% 30.83/31.28  (assume a202 (forall ((V_x_2 $$unsorted) (V_Qa_2 $$unsorted) (V_Pa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_Pa_2 V_Qa_2) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (tptp.hBOOL (tptp.hAPP V_Qa_2 V_x_2))))))
% 30.83/31.28  (assume a203 (forall ((V_Qa_2 $$unsorted) (T_a $$unsorted) (V_x_2 $$unsorted) (V_Pa_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP V_Pa_2 V_x_2)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_Pa_2 V_Qa_2) (tptp.hBOOL (tptp.hAPP V_Qa_2 V_x_2))))))
% 30.83/31.28  (assume a204 (forall ((V_R2_2 $$unsorted) (V_R1_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_R1_2 V_R2_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Wellfounded_Oacc T_a V_R2_2) (tptp.c_Wellfounded_Oacc T_a V_R1_2)))))
% 30.83/31.28  (assume a205 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_x_2) V_y_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_y_2) V_z_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_x_2) V_z_2))))))
% 30.83/31.28  (assume a206 (forall ((V_c_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_aa_2) V_ba_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_ba_2) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_aa_2) V_c_2))))))
% 30.83/31.28  (assume a207 (forall ((V_c_2 $$unsorted) (T_a $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_r_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 V_aa_2) V_ba_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_ba_2) V_c_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_aa_2) V_c_2))))))
% 30.83/31.28  (assume a208 (forall ((V_a3_2 $$unsorted) (V_a1_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_a1_2) V_a3_2)) (or (= V_a3_2 V_a1_2) (exists ((B_b $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_a1_2) B_b)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r_2 B_b) V_a3_2))))))))
% 30.83/31.28  (assume a209 (forall ((V_aa_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_aa_2) V_aa_2))))
% 30.83/31.28  (assume a210 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortranclp T_a (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2)) (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2))))
% 30.83/31.28  (assume a211 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (V_p_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_p_2) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 V_s_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_p_2) (tptp.c_Transitive__Closure_Otrancl T_a V_s_2)))))))
% 30.83/31.28  (assume a212 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) V_r_2 V_s_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Relation_ODomain T_a T_b V_r_2) (tptp.c_Relation_ODomain T_a T_b V_s_2)))))
% 30.83/31.28  (assume a213 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_B_2))))))
% 30.83/31.28  (assume a214 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_B_2))))))
% 30.83/31.28  (assume a215 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_B_2))))))
% 30.83/31.28  (assume a216 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_a) V_b)) (not (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_a) (not (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_b))))))))
% 30.83/31.28  (assume a217 (forall ((V_d $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_c) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_b V_d) (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)))))))
% 30.83/31.28  (assume a218 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_z) (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)))))))
% 30.83/31.28  (assume a219 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_b) (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)))))))
% 30.83/31.28  (assume a220 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_x) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) V_y)))))
% 30.83/31.28  (assume a221 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (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)))))
% 30.83/31.28  (assume a222 (forall ((V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_b V_x) (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)))))
% 30.83/31.28  (assume a223 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_x) (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)))))
% 30.83/31.28  (assume a224 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y_2) V_z_2)) (and (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 V_y_2) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 V_z_2))))))
% 30.83/31.28  (assume a225 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (= (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 V_y_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x_2) V_y_2) V_x_2)))))
% 30.83/31.28  (assume a226 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (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))))
% 30.83/31.28  (assume a227 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) V_y))))
% 30.83/31.28  (assume a228 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__inf T_a) (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))))
% 30.83/31.28  (assume a229 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y) V_x))))
% 30.83/31.28  (assume a230 (forall ((V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.c_Transitive__Closure_Otrancl T_a V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))))
% 30.83/31.28  (assume a231 (forall ((V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_a (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))))
% 30.83/31.28  (assume a232 (forall ((V_D_2 $$unsorted) (V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_D_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_C_2) V_D_2))))))
% 30.83/31.28  (assume a233 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_C_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_C_2 V_A_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_C_2 V_B_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_C_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 30.83/31.28  (assume a234 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_A_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_B_2))))
% 30.83/31.28  (assume a235 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_A_2))))
% 30.83/31.28  (assume a236 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_B_2)))
% 30.83/31.28  (assume a237 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_A_2)))
% 30.83/31.28  (assume a238 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 (tptp.c_Transitive__Closure_Ortrancl T_a V_s_2)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2) (tptp.c_Transitive__Closure_Ortrancl T_a V_s_2)))))
% 30.83/31.28  (assume a239 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_R_2 V_S_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_S_2 (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2)) (= (tptp.c_Transitive__Closure_Ortrancl T_a V_S_2) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))))))
% 30.83/31.28  (assume a240 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 V_s_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2) (tptp.c_Transitive__Closure_Ortrancl T_a V_s_2)))))
% 30.83/31.28  (assume a241 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain T_a T_a (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)) (tptp.c_Relation_ODomain T_a T_a V_r_2))))
% 30.83/31.28  (assume a242 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange T_a T_a (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)) (tptp.c_Relation_ORange T_a T_a V_r_2))))
% 30.83/31.28  (assume a243 (forall ((V_aa_2 $$unsorted) (V_ba_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_ba_2) V_aa_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_aa_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_ba_2))))))
% 30.83/31.28  (assume a244 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_aa_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) V_ba_2) V_aa_2)) (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp T_a V_r_2) V_ba_2))))))
% 30.83/31.28  (assume a245 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) V_r_2 V_s_2) (=> (tptp.c_Relation_Osingle__valued T_a T_b V_s_2) (tptp.c_Relation_Osingle__valued T_a T_b V_r_2)))))
% 30.83/31.28  (assume a246 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_S_2)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_R_2 V_S_2))))
% 30.83/31.28  (assume a247 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortranclp T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool))) V_r_2) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool T_a tptp.c_fNot)) tptp.c_fequal))) (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2))))
% 30.83/31.28  (assume a248 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a249 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a250 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a251 (forall ((V_c_2 $$unsorted) (V_R_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) V_R_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_R_2)))))))
% 30.83/31.28  (assume a252 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional T_a T_b V_A_2))) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional T_a T_b V_B_2)))))))
% 30.83/31.28  (assume a253 (forall ((V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))) (or (= V_x_2 V_y_2) (and (not (= V_x_2 V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_R_2))))))))
% 30.83/31.28  (assume a254 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) V_r_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a255 (forall ((V_R_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))) (or (= V_aa_2 V_ba_2) (and (not (= V_aa_2 V_ba_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_R_2))))))))
% 30.83/31.28  (assume a256 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) V_r_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a257 (forall ((V_c_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_ba_2) V_c_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_c_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a258 (forall ((V_z_2 $$unsorted) (V_r_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_y_2) V_z_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_z_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2)))))))
% 30.83/31.28  (assume a259 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_x))))
% 30.83/31.28  (assume a260 (forall ((V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a T_b) V_f_2 V_g_2) (forall ((B_x $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq T_b (tptp.hAPP V_f_2 B_x) (tptp.hAPP V_g_2 B_x)))))))
% 30.83/31.28  (assume a261 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a T_b) V_f_2 V_g_2) (tptp.c_Orderings_Oord__class_Oless__eq T_b (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_g_2 V_x_2))))))
% 30.83/31.28  (assume a262 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (=> (tptp.class_Orderings_Oord T_b) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a T_b) V_f_2 V_g_2) (tptp.c_Orderings_Oord__class_Oless__eq T_b (tptp.hAPP V_f_2 V_x_2) (tptp.hAPP V_g_2 V_x_2))))))
% 30.83/31.28  (assume a263 (forall ((V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_R_2))) (exists ((B_z $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) B_z)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) V_y_2)) V_R_2)))))))
% 30.83/31.28  (assume a264 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_r_2 V_s_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortranclp T_a V_r_2) (tptp.c_Transitive__Closure_Ortranclp T_a V_s_2)))))
% 30.83/31.28  (assume a265 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_R_2 V_S_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_S_2 (tptp.c_Transitive__Closure_Ortranclp T_a V_R_2)) (= (tptp.c_Transitive__Closure_Ortranclp T_a V_S_2) (tptp.c_Transitive__Closure_Ortranclp T_a V_R_2))))))
% 30.83/31.28  (assume a266 (forall ((V_R2_2 $$unsorted) (V_R1_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_R1_2 V_R2_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Wellfounded_Oaccp T_a V_R2_2) (tptp.c_Wellfounded_Oaccp T_a V_R1_2)))))
% 30.83/31.28  (assume a267 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_S_2)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) V_R_2 V_S_2))))
% 30.83/31.28  (assume a268 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y)) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_x)))))
% 30.83/31.28  (assume a269 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_x) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_z V_y) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_z V_x))))))
% 30.83/31.28  (assume a270 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_x) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y) (= V_x V_y))))))
% 30.83/31.28  (assume a271 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_z) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_z))))))
% 30.83/31.28  (assume a272 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_x) (= V_x V_y))))))
% 30.83/31.28  (assume a273 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_b V_a) (=> (= V_b V_c) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_c V_a))))))
% 30.83/31.28  (assume a274 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oord T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_b) (=> (= V_b V_c) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_c))))))
% 30.83/31.28  (assume a275 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (= V_a V_b) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_c V_b) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_c V_a))))))
% 30.83/31.28  (assume a276 (forall ((V_c $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oord T_a) (=> (= V_a V_b) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_b V_c) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_c))))))
% 30.83/31.28  (assume a277 (forall ((V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y_2 V_x_2) (= (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 V_y_2) (= V_x_2 V_y_2))))))
% 30.83/31.28  (assume a278 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_a) (=> (= V_x V_y) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y)))))
% 30.83/31.28  (assume a279 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Oorder T_a) (= (= V_x_2 V_y_2) (and (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 V_y_2) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y_2 V_x_2))))))
% 30.83/31.28  (assume a280 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Olinorder T_a) (or (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_x)))))
% 30.83/31.28  (assume a281 (forall ((V_R_2 $$unsorted) (T_a $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (=> (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_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Wellfounded_Omlex__prod T_a V_f_2 V_R_2)))))))
% 30.83/31.28  (assume a282 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP V_B_2 B_x) (tptp.hAPP V_C_2 B_x)))) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_fun T_a T_b) tptp.tc_HOL_Obool) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2) (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_C_2)))))
% 30.83/31.28  (assume a283 (forall ((V_R_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Otrancl T_a V_R_2))) (exists ((B_z $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) B_z)) V_R_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_z) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))))))))
% 30.83/31.28  (assume a284 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Wellfounded_Oacyclic T_a V_r_2) (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_x)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))))))))
% 30.83/31.28  (assume a285 (forall ((V_Qa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_y_2 $$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.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Pa_2 V_Qa_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Qa_2 V_x_2) V_y_2))))))
% 30.83/31.28  (assume a286 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_Qa_2 $$unsorted) (V_Pa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool)) V_Pa_2 V_Qa_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Pa_2 V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_Qa_2 V_x_2) V_y_2))))))
% 30.83/31.28  (assume a287 (forall ((V_r_2 $$unsorted) (V_s_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Wellfounded_Oacyclic T_a V_s_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 V_s_2) (tptp.c_Wellfounded_Oacyclic T_a V_r_2)))))
% 30.83/31.28  (assume a288 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (=> (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_x)) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2))))) (tptp.c_Wellfounded_Oacyclic T_a V_r_2))))
% 30.83/31.28  (assume a289 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 (tptp.c_Product__Type_OSigma T_a T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a V_A_2))) (or (= V_aa_2 V_ba_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)))))))
% 30.83/31.28  (assume a290 (forall ((V_r_2 $$unsorted) (V_x_2 $$unsorted) (V_y_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Wellfounded_Oacyclic T_a (tptp.c_Set_Oinsert (tptp.tc_prod T_a T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_y_2) V_x_2) V_r_2)) (and (tptp.c_Wellfounded_Oacyclic T_a V_r_2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_x_2) V_y_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_r_2))))))))
% 30.83/31.28  (assume a291 (forall ((V_ba_2 $$unsorted) (V_B_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_B_2))) (= V_aa_2 V_ba_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Set_Oinsert T_a V_ba_2 V_B_2))))))
% 30.83/31.28  (assume a292 (forall ((V_A_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Set_Oinsert T_a V_ba_2 V_A_2))) (=> (not (= V_aa_2 V_ba_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2))))))
% 30.83/31.28  (assume a293 (forall ((V_B_2 $$unsorted) (V_ba_2 $$unsorted) (T_b $$unsorted) (V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_ba_2) (tptp.hAPP V_B_2 V_aa_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 V_B_2)))))))
% 30.83/31.28  (assume a294 (forall ((V_aa_2 $$unsorted) (V_D_2 $$unsorted) (V_C_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_C_2 V_D_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Set_Oinsert T_a V_aa_2 V_C_2) (tptp.c_Set_Oinsert T_a V_aa_2 V_D_2)))))
% 30.83/31.28  (assume a295 (forall ((V_ba_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 (tptp.c_Set_Oinsert T_a V_ba_2 V_B_2)))))
% 30.83/31.28  (assume a296 (forall ((V_aa_2 $$unsorted) (V_B_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2))))
% 30.83/31.28  (assume a297 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 V_A_2)) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 30.83/31.28  (assume a298 (forall ((V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (= (tptp.c_Set_Oinsert T_a V_aa_2 V_A_2) V_A_2))))
% 30.83/31.28  (assume a299 (forall ((V_ba_2 $$unsorted) (V_B_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Set_Oinsert T_a V_ba_2 V_B_2))))))
% 30.83/31.28  (assume a300 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_B_2))) (= (= (tptp.c_Set_Oinsert T_a V_x_2 V_A_2) (tptp.c_Set_Oinsert T_a V_x_2 V_B_2)) (= V_A_2 V_B_2))))))
% 30.83/31.28  (assume a301 (forall ((V_A_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Set_Oinsert T_a V_ba_2 V_A_2))) (or (= V_aa_2 V_ba_2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2))))))
% 30.83/31.28  (assume a302 (forall ((V_B_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)))))
% 30.83/31.28  (assume a303 (forall ((V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert T_a V_x_2 (tptp.c_Set_Oinsert T_a V_x_2 V_A_2)) (tptp.c_Set_Oinsert T_a V_x_2 V_A_2))))
% 30.83/31.28  (assume a304 (forall ((V_A_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert T_a V_x_2 (tptp.c_Set_Oinsert T_a V_y_2 V_A_2)) (tptp.c_Set_Oinsert T_a V_y_2 (tptp.c_Set_Oinsert T_a V_x_2 V_A_2)))))
% 30.83/31.28  (assume a305 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (V_y_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert T_a V_y_2 V_A_2) V_x_2)) (or (= V_y_2 V_x_2) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2))))))
% 30.83/31.28  (assume a306 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain T_a T_b (tptp.c_Set_Oinsert (tptp.tc_prod T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2) V_r_2)) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Relation_ODomain T_a T_b V_r_2)))))
% 30.83/31.28  (assume a307 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ORange T_b T_a (tptp.c_Set_Oinsert (tptp.tc_prod T_b T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_b T_a) V_aa_2) V_ba_2) V_r_2)) (tptp.c_Set_Oinsert T_a V_ba_2 (tptp.c_Relation_ORange T_b T_a V_r_2)))))
% 30.83/31.28  (assume a308 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_C_2)) (= (= (tptp.c_Product__Type_OSigma T_b T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_b V_C_2)) (tptp.c_Product__Type_OSigma T_b T_a V_B_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_b V_C_2))) (= V_A_2 V_B_2)))))
% 30.83/31.28  (assume a309 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Set_Oinsert T_a V_x_2 V_A_2) V_B_2) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_B_2)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2)))))
% 30.83/31.28  (assume a310 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_A_2))) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 (tptp.c_Set_Oinsert T_a V_x_2 V_B_2)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2)))))
% 30.83/31.28  (assume a311 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 30.83/31.28  (assume a312 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_C_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) V_C_2) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_C_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2))))))
% 30.83/31.28  (assume a313 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 30.83/31.28  (assume a314 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_C_2))) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 30.83/31.28  (assume a315 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 30.83/31.28  (assume a316 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_C_2)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) V_C_2) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2))))))
% 30.83/31.28  (assume a317 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 (tptp.c_Product__Type_OSigma T_a T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a V_A_2))) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2) (tptp.c_Product__Type_OSigma T_a T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a V_A_2))))))
% 30.83/31.28  (assume a318 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b V_I_2 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2)) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_a T_b V_I_2 V_A_2)) (tptp.c_Product__Type_OSigma T_a T_b V_I_2 V_B_2)))))
% 30.83/31.28  (assume a319 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_C_2))) (tptp.c_Product__Type_OSigma T_a T_b V_B_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_C_2))))))
% 30.83/31.28  (assume a320 (forall ((V_C_2 $$unsorted) (V_J_2 $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_I_2) V_J_2) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_a T_b V_I_2 V_C_2)) (tptp.c_Product__Type_OSigma T_a T_b V_J_2 V_C_2)))))
% 30.83/31.28  (assume a321 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.c_Relation_OId__on T_a V_A_2) (tptp.c_Product__Type_OSigma T_a T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a V_A_2)))))
% 30.83/31.28  (assume a322 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 V_B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_ba_2) (tptp.hAPP V_B_2 V_aa_2)))))))
% 30.83/31.28  (assume a323 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)))))
% 30.83/31.28  (assume a324 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_ba_2) (tptp.hAPP V_B_2 V_aa_2))))))
% 30.83/31.28  (assume a325 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 V_B_2))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) V_ba_2) (tptp.hAPP V_B_2 V_aa_2)))))))))
% 30.83/31.28  (assume a326 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_C_2)) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_HOL_Obool) (tptp.c_Product__Type_OSigma T_b T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_b V_C_2)) (tptp.c_Product__Type_OSigma T_b T_a V_B_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_b V_C_2))) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool) V_A_2 V_B_2)))))
% 30.83/31.28  (assume a327 (forall ((V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Orefl__on T_a V_A_2 V_r_2) (and (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 (tptp.c_Product__Type_OSigma T_a T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a V_A_2))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_x)) V_r_2))))))))
% 30.83/31.28  (assume a328 (forall ((V_A_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 (tptp.c_Product__Type_OSigma T_a T_a V_A_2 (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a V_A_2))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_x)) V_r_2)))) (tptp.c_Relation_Orefl__on T_a V_A_2 V_r_2)))))
% 30.83/31.28  (assume a329 (forall ((V_T_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_S_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) V_S_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) V_f_2) (tptp.c_FuncSet_Oextensional__funcset T_a T_b (tptp.c_Set_Oinsert T_a V_x_2 V_S_2) V_T_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_a T_b)) (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_x_2 (tptp.c_HOL_Oundefined T_b))) (tptp.c_FuncSet_Oextensional__funcset T_a T_b V_S_2 V_T_2)))))))
% 30.83/31.28  (assume a330 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) V_c_2) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 V_B_2))) (not (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_b) B_y) (tptp.hAPP V_B_2 B_x))) (not (= V_c_2 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) B_x) B_y)))))))))))
% 30.83/31.28  (assume a331 (forall ((V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_T_2 $$unsorted) (V_y_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_y_2) V_T_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b T_a)) V_f_2) (tptp.c_FuncSet_Oextensional__funcset T_b T_a V_S_2 V_T_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b T_a)) (tptp.c_Fun_Ofun__upd T_b T_a V_f_2 V_x_2 V_y_2)) (tptp.c_FuncSet_Oextensional__funcset T_b T_a (tptp.c_Set_Oinsert T_b V_x_2 V_S_2) V_T_2)))))))
% 30.83/31.28  (assume a332 (forall ((V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_x_2 (tptp.hAPP V_f_2 V_x_2)) V_f_2)))
% 30.83/31.28  (assume a333 (forall ((V_D_2 $$unsorted) (V_B_2 $$unsorted) (T_b $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.hAPP V_B_2 B_x) (tptp.hAPP V_D_2 B_x)))) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 V_B_2) (tptp.c_Product__Type_OSigma T_a T_b V_C_2 V_D_2))))))
% 30.83/31.28  (assume a334 (forall ((V_ba_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_aa_2 $$unsorted) (V_x_2 $$unsorted)) (and (=> (= V_x_2 V_aa_2) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_aa_2 V_ba_2) V_x_2) V_ba_2)) (=> (not (= V_x_2 V_aa_2)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_aa_2 V_ba_2) V_x_2) (tptp.hAPP V_f_2 V_x_2))))))
% 30.83/31.28  (assume a335 (forall ((T_a $$unsorted) (T_b $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted)) (=> (= (tptp.hAPP V_f_2 V_x_2) V_y_2) (= (tptp.c_Fun_Ofun__upd T_b T_a V_f_2 V_x_2 V_y_2) V_f_2))))
% 30.83/31.28  (assume a336 (forall ((V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted)) (=> (not (= V_z_2 V_x_2)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_x_2 V_y_2) V_z_2) (tptp.hAPP V_f_2 V_z_2)))))
% 30.83/31.28  (assume a337 (forall ((V_d_2 $$unsorted) (V_ba_2 $$unsorted) (V_m_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_c_2 $$unsorted) (V_aa_2 $$unsorted)) (=> (not (= V_aa_2 V_c_2)) (= (tptp.c_Fun_Ofun__upd T_a T_b (tptp.c_Fun_Ofun__upd T_a T_b V_m_2 V_aa_2 V_ba_2) V_c_2 V_d_2) (tptp.c_Fun_Ofun__upd T_a T_b (tptp.c_Fun_Ofun__upd T_a T_b V_m_2 V_c_2 V_d_2) V_aa_2 V_ba_2)))))
% 30.83/31.28  (assume a338 (forall ((V_y_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_x_2 $$unsorted) (V_z_2 $$unsorted)) (and (=> (= V_z_2 V_x_2) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_a T_b 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_a T_b V_f_2 V_x_2 V_y_2) V_z_2) (tptp.hAPP V_f_2 V_z_2))))))
% 30.83/31.28  (assume a339 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd T_b T_a V_f_2 V_x_2 V_y_2) V_x_2) V_y_2)))
% 30.83/31.28  (assume a340 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Ofun__upd T_a T_b (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_x_2 V_y_2) V_x_2 V_z_2) (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_x_2 V_z_2))))
% 30.83/31.28  (assume a341 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (= (tptp.c_Fun_Ofun__upd T_a T_b V_f_2 V_x_2 V_y_2) V_f_2) (= (tptp.hAPP V_f_2 V_x_2) V_y_2))))
% 30.83/31.28  (assume a342 (forall ((V_B_2 $$unsorted) (V_ba_2 $$unsorted) (V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b (tptp.c_Set_Oinsert T_a V_aa_2 V_A_2) (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a (tptp.c_Set_Oinsert T_b V_ba_2 V_B_2))) (tptp.c_Set_Oinsert (tptp.tc_prod T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_b) V_aa_2) V_ba_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a (tptp.c_Set_Oinsert T_b V_ba_2 V_B_2)))) (tptp.c_Product__Type_OSigma T_a T_b (tptp.c_Set_Oinsert T_a V_aa_2 V_A_2) (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)))))))
% 30.83/31.28  (assume a343 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.c_Transitive__Closure_Otrancl T_a V_r_2) (tptp.c_Product__Type_OSigma T_a T_a (tptp.c_Relation_OField T_a V_r_2) (tptp.c_COMBK (tptp.tc_fun T_a tptp.tc_HOL_Obool) T_a (tptp.c_Relation_OField T_a V_r_2))))))
% 30.83/31.28  (assume a344 (forall ((V_R_2 $$unsorted) (V_f_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Wellfounded_Omlex__prod T_a V_f_2 V_R_2) (tptp.c_Relation_Oinv__image (tptp.tc_prod tptp.tc_Nat_Onat T_a) T_a (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat T_a tptp.c_Wellfounded_Oless__than V_R_2) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_a T_a (tptp.tc_prod tptp.tc_Nat_Onat T_a)) (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun T_a (tptp.tc_prod tptp.tc_Nat_Onat T_a)) T_a (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat T_a)) V_f_2)) (tptp.c_COMBI T_a))))))
% 30.83/31.28  (assume a345 (forall ((T_a $$unsorted) (V_A_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2))) (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)))))
% 30.83/31.28  (assume a346 (forall ((V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)) (=> (not (tptp.hBOOL (tptp.hAPP V_A_2 V_x_2))) (tptp.hBOOL (tptp.hAPP V_B_2 V_x_2))))))
% 30.83/31.28  (assume a347 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))))))
% 30.83/31.28  (assume a348 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 30.83/31.28  (assume a349 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b V_I_2 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (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_a (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_a T_b) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_a T_b V_I_2 V_A_2)) (tptp.c_Product__Type_OSigma T_a T_b V_I_2 V_B_2)))))
% 30.83/31.28  (assume a350 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_C_2))) (tptp.c_Product__Type_OSigma T_a T_b V_B_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_C_2))))))
% 30.83/31.28  (assume a351 (forall ((V_C_2 $$unsorted) (V_J_2 $$unsorted) (V_I_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a 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_a T_b) tptp.tc_HOL_Obool)) (tptp.c_Product__Type_OSigma T_a T_b V_I_2 V_C_2)) (tptp.c_Product__Type_OSigma T_a T_b V_J_2 V_C_2)))))
% 30.83/31.28  (assume a352 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_S_2))) (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))
% 30.83/31.28  (assume a353 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OField T_a V_r_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Relation_ODomain T_a T_a V_r_2)) (tptp.c_Relation_ORange T_a T_a V_r_2)))))
% 30.83/31.28  (assume a354 (forall ((V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) (tptp.c_member T_a)) V_S_2)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 30.83/31.28  (assume a355 (forall ((V_s_2 $$unsorted) (V_B_2 $$unsorted) (V_r_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Relation_Orefl__on T_a V_A_2 V_r_2) (=> (tptp.c_Relation_Orefl__on T_a V_B_2 V_s_2) (tptp.c_Relation_Orefl__on T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a 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_a T_a) tptp.tc_HOL_Obool)) V_r_2) V_s_2))))))
% 30.83/31.28  (assume a356 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ORange T_b T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_b T_a) 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_a tptp.tc_HOL_Obool)) (tptp.c_Relation_ORange T_b T_a V_A_2)) (tptp.c_Relation_ORange T_b T_a V_B_2)))))
% 30.83/31.28  (assume a357 (forall ((V_Pa_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (and (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_B_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))))))
% 30.83/31.28  (assume a358 (forall ((V_Pa_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (or (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x)))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_B_2)) (tptp.hBOOL (tptp.hAPP V_Pa_2 B_x))))))))
% 30.83/31.28  (assume a359 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 30.83/31.28  (assume a360 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 30.83/31.28  (assume a361 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 30.83/31.28  (assume a362 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_B_2) V_A_2))))
% 30.83/31.28  (assume a363 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_A_2) V_A_2)))
% 30.83/31.28  (assume a364 (forall ((V_A_2 $$unsorted) (T_a $$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_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)))))
% 30.83/31.28  (assume a365 (forall ((V_B_2 $$unsorted) (T_a $$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_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_x_2)))))
% 30.83/31.28  (assume a366 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b T_a)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 30.83/31.28  (assume a367 (forall ((V_x_2 $$unsorted) (V_g_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_b T_a)) V_f_2) V_g_2) V_x_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP V_f_2 V_x_2)) (tptp.hAPP V_g_2 V_x_2))))))
% 30.83/31.28  (assume a368 (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))))))
% 30.83/31.28  (assume a369 (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))))))
% 30.83/31.28  (assume a370 (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))))))
% 30.83/31.28  (assume a371 (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))))))
% 30.83/31.28  (assume a372 (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))))))
% 30.83/31.28  (assume a373 (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))))))
% 30.83/31.28  (assume a374 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)))))
% 30.83/31.28  (assume a375 (forall ((V_y $$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)))))
% 30.83/31.28  (assume a376 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b)))))
% 30.83/31.28  (assume a377 (forall ((V_y $$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)))))
% 30.83/31.28  (assume a378 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_x)))))
% 30.83/31.28  (assume a379 (forall ((V_b $$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)))))
% 30.83/31.28  (assume a380 (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))))
% 30.83/31.28  (assume a381 (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))))
% 30.83/31.28  (assume a382 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OField T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) V_r_2) V_s_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Relation_OField T_a V_r_2)) (tptp.c_Relation_OField T_a V_s_2)))))
% 30.83/31.28  (assume a383 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain T_a T_b (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Relation_ODomain T_a T_b V_A_2)) (tptp.c_Relation_ODomain T_a T_b V_B_2)))))
% 30.83/31.28  (assume a384 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))))))
% 30.83/31.28  (assume a385 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 30.83/31.28  (assume a386 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))))
% 30.83/31.28  (assume a387 (forall ((V_y $$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))))
% 30.83/31.28  (assume a388 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) V_x))))
% 30.83/31.28  (assume a389 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z))))))
% 30.83/31.28  (assume a390 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_z))))))
% 30.83/31.28  (assume a391 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_z) V_x))))))
% 30.83/31.28  (assume a392 (forall ((V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Odistrib__lattice T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_x)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_z) V_x))))))
% 30.83/31.28  (assume a393 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 30.83/31.28  (assume a394 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_C_2)))))
% 30.83/31.28  (assume a395 (forall ((V_A_2 $$unsorted) (V_C_2 $$unsorted) (V_B_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_C_2) V_A_2)))))
% 30.83/31.28  (assume a396 (forall ((V_A_2 $$unsorted) (V_C_2 $$unsorted) (V_B_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_C_2) V_A_2)))))
% 30.83/31.28  (assume a397 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_C_2) V_A_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2))) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_C_2) V_A_2)))))
% 30.83/31.28  (assume a398 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (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)))))
% 30.83/31.28  (assume a399 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)))))
% 30.83/31.28  (assume a400 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (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)))))
% 30.83/31.28  (assume a401 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)))))
% 30.83/31.28  (assume a402 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 V_y_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x_2) V_y_2) V_y_2)))))
% 30.83/31.28  (assume a403 (forall ((V_z_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (= (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x_2) V_y_2) V_z_2) (and (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x_2 V_z_2) (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y_2 V_z_2))))))
% 30.83/31.28  (assume a404 (forall ((V_b $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_a) (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))))))
% 30.83/31.28  (assume a405 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_b) (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))))))
% 30.83/31.28  (assume a406 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_x V_y) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y) V_y)))))
% 30.83/31.28  (assume a407 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (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)))))
% 30.83/31.28  (assume a408 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_x) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_b V_x) (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))))))
% 30.83/31.28  (assume a409 (forall ((V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_y V_x) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_z V_x) (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))))))
% 30.83/31.28  (assume a410 (forall ((V_d $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_c) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_b V_d) (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_c) V_d)))))))
% 30.83/31.28  (assume a411 (forall ((V_x $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Osemilattice__sup T_a) (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_a) V_b) V_x) (not (=> (tptp.c_Orderings_Oord__class_Oless__eq T_a V_a V_x) (not (tptp.c_Orderings_Oord__class_Oless__eq T_a V_b V_x))))))))
% 30.83/31.28  (assume a412 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 30.83/31.28  (assume a413 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 30.83/31.28  (assume a414 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_B_2))))
% 30.83/31.28  (assume a415 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_B_2))))
% 30.83/31.28  (assume a416 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_A_2))))
% 30.83/31.28  (assume a417 (forall ((V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_C_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) V_C_2)))))
% 30.83/31.28  (assume a418 (forall ((V_D_2 $$unsorted) (V_B_2 $$unsorted) (V_C_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_D_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_C_2) V_D_2))))))
% 30.83/31.28  (assume a419 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) V_z))))))
% 30.83/31.28  (assume a420 (forall ((V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Olattice T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_y)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_y) V_z))))))
% 30.83/31.28  (assume a421 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) V_C_2) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)))))
% 30.83/31.28  (assume a422 (forall ((V_B_2 $$unsorted) (V_aa_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Set_Oinsert T_a V_aa_2 V_B_2)) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)))))
% 30.83/31.28  (assume a423 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_C_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2))) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_C_2 V_A_2))))
% 30.83/31.28  (assume a424 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_x_2) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_x_2) (tptp.c_Transitive__Closure_Ortrancl T_a V_S_2)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) V_x_2) (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))))
% 30.83/31.28  (assume a425 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) (tptp.c_Transitive__Closure_Ortrancl T_a V_R_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_S_2)) (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) V_R_2) V_S_2)))))
% 30.83/31.28  (assume a426 (forall ((V_s_2 $$unsorted) (V_r_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_r_2 V_s_2) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Relation_OField T_a V_r_2) (tptp.c_Relation_OField T_a V_s_2)))))
% 30.83/31.28  (assume a427 (forall ((V_r_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OField T_a (tptp.c_Set_Oinsert (tptp.tc_prod T_a T_a) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2) V_r_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Set_Oinsert T_a V_ba_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))) (tptp.c_Relation_OField T_a V_r_2)))))
% 30.83/31.28  (assume a428 (forall ((V_Qa_2 $$unsorted) (V_Pa_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) V_Pa_2) V_Qa_2)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) B_x)) (tptp.c_Transitive__Closure_Ortrancl T_a V_Pa_2))) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) B_y)) V_Qa_2)) (= B_x B_y))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_Pa_2)))))))
% 30.83/31.28  (assume a429 (forall ((V_Qa_2 $$unsorted) (V_Pa_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)) V_Pa_2) V_Qa_2)))) (=> (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_x) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_Pa_2))) (forall ((B_y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) B_y) B_x)) V_Qa_2)) (= B_y B_x))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_a)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a T_a) V_aa_2) V_ba_2)) (tptp.c_Transitive__Closure_Ortrancl T_a V_Pa_2)))))))
% 30.83/31.28  (assume a430 (forall ((V_aa_2 $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))))
% 30.83/31.28  (assume a431 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2)))
% 30.83/31.28  (assume a432 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (and (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))))
% 30.83/31.28  (assume a433 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) V_A_2)))
% 30.83/31.28  (assume a434 (forall ((V_B_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) V_B_2) V_B_2)))
% 30.83/31.28  (assume a435 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x_2) V_y_2) (tptp.c_Orderings_Obot__class_Obot T_a)) (and (= V_x_2 (tptp.c_Orderings_Obot__class_Obot T_a)) (= V_y_2 (tptp.c_Orderings_Obot__class_Obot T_a)))))))
% 30.83/31.28  (assume a436 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x))))
% 30.83/31.28  (assume a437 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x) V_x))))
% 30.83/31.28  (assume a438 (forall ((T_a $$unsorted)) (= (tptp.c_Relation_OField T_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a439 (forall ((V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortranclp T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool))) V_R_2) tptp.c_fequal)) (tptp.c_Transitive__Closure_Ortranclp T_a V_R_2))))
% 30.83/31.28  (assume a440 (forall ((V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortranclp T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (tptp.c_Transitive__Closure_Ortranclp T_a V_R_2)) (tptp.c_Transitive__Closure_Ortranclp T_a V_S_2))) (tptp.c_Transitive__Closure_Ortranclp T_a (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a (tptp.tc_fun T_a tptp.tc_HOL_Obool))) V_R_2) V_S_2)))))
% 30.83/31.28  (assume a441 (forall ((V_T_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_FuncSet_Oextensional__funcset T_a T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_T_2) (tptp.c_Set_Oinsert (tptp.tc_fun T_a T_b) (tptp.c_COMBK T_b T_a (tptp.c_HOL_Oundefined T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_a T_b) tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a442 (forall ((T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_FuncSet_Oextensional T_a T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (tptp.c_Set_Oinsert (tptp.tc_fun T_a T_b) (tptp.c_COMBK T_b T_a (tptp.c_HOL_Oundefined T_b)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_a T_b) tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a443 (forall ((V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 V_A_2)))))
% 30.83/31.28  (assume a444 (forall ((V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Set_Oinsert T_a V_aa_2 V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a445 (forall ((V_d_2 $$unsorted) (V_c_2 $$unsorted) (V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (= (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Set_Oinsert T_a V_ba_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))) (tptp.c_Set_Oinsert T_a V_c_2 (tptp.c_Set_Oinsert T_a V_d_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))) (or (and (= V_aa_2 V_c_2) (= V_ba_2 V_d_2)) (and (= V_aa_2 V_d_2) (= V_ba_2 V_c_2))))))
% 30.83/31.28  (assume a446 (forall ((V_ba_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (= (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (tptp.c_Set_Oinsert T_a V_ba_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))) (= V_aa_2 V_ba_2))))
% 30.83/31.28  (assume a447 (forall ((V_B_2 $$unsorted) (T_a $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool) V_A_2 V_B_2))))
% 30.83/31.28  (assume a448 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a449 (forall ((V_r_2 $$unsorted) (T_a $$unsorted)) (tptp.c_Relation_Ototal__on T_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_r_2)))
% 30.83/31.28  (assume a450 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Obot T_a) (tptp.c_Orderings_Oord__class_Oless__eq T_a (tptp.c_Orderings_Obot__class_Obot T_a) V_x))))
% 30.83/31.28  (assume a451 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) (tptp.c_Orderings_Obot__class_Obot T_a)) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 30.83/31.28  (assume a452 (forall ((V_x $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Lattices_Obounded__lattice__bot T_a) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf T_a) V_x) (tptp.c_Orderings_Obot__class_Obot T_a)) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 30.83/31.28  (assume a453 (forall ((V_r_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (= (tptp.c_Relation_ODomain T_a T_b V_r_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (= V_r_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a454 (forall ((T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain T_a T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a455 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (= (tptp.c_FuncSet_OPi T_a T_b V_A_2 V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_fun T_a T_b) tptp.tc_HOL_Obool))) (exists ((B_x $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (= (tptp.hAPP V_B_2 B_x) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool))))))))
% 30.83/31.28  (assume a456 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_S_2 $$unsorted)) (=> (not (= V_S_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))) (= (tptp.c_FuncSet_Oextensional__funcset T_a T_b V_S_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_a T_b) tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a457 (forall ((V_r_2 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (= (tptp.c_Relation_ORange T_b T_a V_r_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (= V_r_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a458 (forall ((T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ORange T_b T_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_b T_a) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a459 (forall ((T_a $$unsorted)) (= (tptp.c_Relation_OId__on T_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a460 (forall ((T_a $$unsorted)) (tptp.c_Relation_Orefl__on T_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a461 (forall ((V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_x_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_x_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))))
% 30.83/31.28  (assume a462 (forall ((T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl T_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_a) tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a463 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_xa) V_B_2)) (not (= B_x B_xa)))))))))
% 30.83/31.28  (assume a464 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a465 (forall ((V_B_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a466 (forall ((V_aa_2 $$unsorted) (T_a $$unsorted) (V_A_2 $$unsorted)) (=> (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_A_2))))))
% 30.83/31.28  (assume a467 (forall ((V_c_2 $$unsorted) (T_a $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))))
% 30.83/31.28  (assume a468 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (exists ((B_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2))) (not (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))))))
% 30.83/31.28  (assume a469 (forall ((V_A_2 $$unsorted) (T_a $$unsorted)) (= (forall ((B_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) B_x) V_A_2)))) (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))))
% 30.83/31.28  (assume a470 (forall ((V_x_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Obot T_a) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b T_a)) V_x_2) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 30.83/31.28  (assume a471 (forall ((V_x_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.class_Orderings_Obot T_a) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b T_a)) V_x_2) (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 30.83/31.28  (assume a472 (forall ((V_B_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a473 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (= (tptp.c_Product__Type_OSigma T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a V_B_2)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool))) (or (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (= V_B_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_HOL_Obool)))))))
% 30.83/31.28  (assume a474 (forall ((V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Product__Type_OSigma T_a T_b V_A_2 (tptp.c_COMBK (tptp.tc_fun T_b tptp.tc_HOL_Obool) T_a (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_a T_b) tptp.tc_HOL_Obool)))))
% 30.83/31.28  (assume a475 (forall ((V_aa_2 $$unsorted) (V_ba_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_ba_2) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))) (= V_ba_2 V_aa_2))))
% 30.83/31.28  (assume a476 (forall ((V_aa_2 $$unsorted) (V_ba_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_ba_2) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))) (= V_ba_2 V_aa_2))))
% 30.83/31.28  (assume a477 (forall ((V_x_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 (tptp.c_Set_Oinsert T_a V_x_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))) (or (= V_A_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))) (= V_A_2 (tptp.c_Set_Oinsert T_a V_x_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))))))
% 30.83/31.28  (assume a478 (forall ((V_A_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert T_a V_aa_2 V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))) V_A_2))))
% 30.83/31.28  (assume a479 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_R_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_R_2)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_a (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) (tptp.tc_fun T_b tptp.tc_HOL_Obool)) T_a (tptp.c_COMBC T_b (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun T_b (tptp.tc_prod T_a T_b)) (tptp.tc_fun T_b (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool)) T_a (tptp.c_COMBB (tptp.tc_prod T_a T_b) (tptp.tc_fun (tptp.tc_fun (tptp.tc_prod T_a T_b) tptp.tc_HOL_Obool) tptp.tc_HOL_Obool) T_b (tptp.c_member (tptp.tc_prod T_a T_b)))) (tptp.c_Product__Type_OPair T_a T_b)))) V_S_2)) V_x_2) V_y_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod T_a T_b)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair T_a 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_a T_b) tptp.tc_HOL_Obool)) V_R_2) V_S_2))))))
% 30.83/31.28  (assume a480 (forall ((V_x_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Othe__elem T_a (tptp.c_Set_Oinsert T_a V_x_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool)))) V_x_2)))
% 30.83/31.28  (assume a481 (forall ((V_x_2 $$unsorted) (V_S_2 $$unsorted) (V_f_2 $$unsorted) (T_b $$unsorted) (V_T_2 $$unsorted) (V_aa_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_aa_2) V_T_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b T_a)) V_f_2) (tptp.c_FuncSet_Oextensional__funcset T_b T_a V_S_2 (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_T_2 (tptp.c_Set_Oinsert T_a V_aa_2 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_HOL_Obool))))))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun T_b T_a)) (tptp.c_Fun_Ofun__upd T_b T_a V_f_2 V_x_2 V_aa_2)) (tptp.c_FuncSet_Oextensional__funcset T_b T_a (tptp.c_Set_Oinsert T_b V_x_2 V_S_2) V_T_2)))))))
% 30.83/31.28  (assume a482 (forall ((T_b $$unsorted) (T_a $$unsorted) (V_A_2 $$unsorted) (V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted)) (=> (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)))))
% 30.83/31.28  (assume a483 (forall ((V_y_2 $$unsorted) (V_x_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_A_2 V_x_2) V_y_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_B_2 V_x_2) V_y_2))))))
% 30.83/31.28  (assume a484 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2)))))))
% 30.83/31.28  (assume a485 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (V_c_2 $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_A_2)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member T_a) V_c_2) V_B_2)))))))
% 30.83/31.28  (assume a486 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2)))))
% 30.83/31.28  (assume a487 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_C_2)) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_B_2)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2)))))
% 30.83/31.28  (assume a488 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_A_2) V_B_2)) V_A_2)))
% 30.83/31.28  (assume a489 (forall ((V_C_2 $$unsorted) (V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_A_2 V_C_2)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_C_2)))))
% 30.83/31.28  (assume a490 (forall ((V_A_2 $$unsorted) (V_B_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a tptp.tc_HOL_Obool) V_B_2 V_A_2)) V_A_2) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_B_2) V_A_2))))
% 30.83/31.28  (assume a491 (forall ((V_B_2 $$unsorted) (V_A_2 $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup (tptp.tc_fun T_a tptp.tc_HOL_Obool)) V_A_2) (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun T_a 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_a tptp.tc_HOL_Obool)) V_A_2) V_B_2))))
% 30.83/31.28  (assume a492 (forall ((V_A_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_y_2 $$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_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)))))
% 30.83/31.28  (assume a493 (forall ((V_B_2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_y_2 $$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_a (tptp.tc_fun T_b tptp.tc_HOL_Obool))) V_A_2) V_B_2) V_x_2) V_y_2)))))
% 30.83/31.28  (assume a494 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a495 (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)))))
% 30.83/31.28  (assume a496 (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)))))
% 30.83/31.28  (assume a497 (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)))))
% 30.83/31.28  (assume a498 (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)))))
% 30.83/31.28  (assume a499 (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)))))
% 30.83/31.28  (assume a500 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Opreorder T_1) (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)))))
% 30.83/31.28  (assume a501 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Lattices_Olattice T_1) (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)))))
% 30.83/31.28  (assume a502 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Oorder T_1) (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)))))
% 30.83/31.28  (assume a503 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Oord T_1) (tptp.class_Orderings_Oord (tptp.tc_fun T_2 T_1)))))
% 30.83/31.28  (assume a504 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.class_Orderings_Obot T_1) (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)))))
% 30.83/31.28  (assume a505 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a506 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a507 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a508 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a509 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a510 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a511 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a512 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a513 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat))
% 30.83/31.28  (assume a514 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a515 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a516 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a517 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a518 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a519 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a520 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a521 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a522 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool))
% 30.83/31.28  (assume a523 (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_COMBI T_a) V_P) V_P)))
% 30.83/31.28  (assume a524 (forall ((V_Q $$unsorted) (V_P $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_COMBK T_a T_b V_P) V_Q) V_P)))
% 30.83/31.28  (assume a525 (forall ((V_R_2 $$unsorted) (V_Qa_2 $$unsorted) (V_Pa_2 $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB T_b T_a T_c V_Pa_2) V_Qa_2) V_R_2) (tptp.hAPP V_Pa_2 (tptp.hAPP V_Qa_2 V_R_2)))))
% 30.83/31.28  (assume a526 (forall ((V_R_2 $$unsorted) (V_Qa_2 $$unsorted) (V_Pa_2 $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC T_b T_c T_a) V_Pa_2) V_Qa_2) V_R_2) (tptp.hAPP (tptp.hAPP V_Pa_2 V_R_2) V_Qa_2))))
% 30.83/31.28  (assume a527 (forall ((V_R_2 $$unsorted) (V_Qa_2 $$unsorted) (V_Pa_2 $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS T_b T_c T_a) V_Pa_2) V_Qa_2) V_R_2) (tptp.hAPP (tptp.hAPP V_Pa_2 V_R_2) (tptp.hAPP V_Qa_2 V_R_2)))))
% 30.83/31.28  (assume a528 (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))))
% 30.83/31.28  (assume a529 (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)))))
% 30.83/31.28  (assume a530 (forall ((V_Pa_2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.c_fNot V_Pa_2))) (not (tptp.hBOOL V_Pa_2)))))
% 30.83/31.28  (assume a531 (forall ((V_Pa_2 $$unsorted)) (or (not (not (tptp.hBOOL V_Pa_2))) (tptp.hBOOL (tptp.hAPP tptp.c_fNot V_Pa_2)))))
% 30.83/31.28  (assume a532 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))
% 30.83/31.28  (assume a533 true)
% 30.83/31.28  (step t1 (cl (not (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))))) :rule or_pos)
% 30.83/31.28  (step t2 (cl (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))) (not (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))))))) :rule reordering :premises (t1))
% 30.83/31.28  (step t3 (cl (not (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))) :rule equiv_pos2)
% 30.83/31.28  (step t4 (cl (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____)))) (not (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule reordering :premises (t3))
% 30.83/31.28  (step t5 (cl (not (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule resolution :premises (t4 a532 a6))
% 30.83/31.28  (step t6 (cl (= (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i))))) (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i))))))) :rule hole :args ((forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i))))) (= B_i B_i)))
% 30.83/31.28  (step t7 (cl (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) :rule equiv1 :premises (t6))
% 30.83/31.28  (step t8 (cl (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) :rule resolution :premises (t7 a7))
% 30.83/31.28  (step t9 (cl (=> (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) :rule implies_neg1)
% 30.83/31.28  (anchor :step t10)
% 30.83/31.28  (assume t10.a0 (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))))
% 30.83/31.28  (step t10.t1 (cl (or (not (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))))))) :rule forall_inst :args ((:= B_x tptp.v_Q____) (:= BOUND_VARIABLE_9882 tptp.v_a_H____) (:= BOUND_VARIABLE_9880 tptp.v_b_H____) (:= BOUND_VARIABLE_9878 tptp.v_P_H____)))
% 30.83/31.28  (step t10.t2 (cl (not (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule or :premises (t10.t1))
% 30.83/31.28  (step t10.t3 (cl (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule resolution :premises (t10.t2 t10.a0))
% 30.83/31.28  (step t10 (cl (not (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule subproof :discharge (t10.a0))
% 30.83/31.28  (step t11 (cl (=> (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule resolution :premises (t9 t10))
% 30.83/31.28  (step t12 (cl (=> (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) (not (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))))))) :rule implies_neg2)
% 30.83/31.28  (step t13 (cl (=> (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) (=> (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))))))) :rule resolution :premises (t11 t12))
% 30.83/31.28  (step t14 (cl (=> (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____))))))) :rule contraction :premises (t13))
% 30.83/31.28  (step t15 (cl (not (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule implies :premises (t14))
% 30.83/31.28  (step t16 (cl (not (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))))) (not (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa))))))))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) :rule equiv_pos2)
% 30.83/31.28  (anchor :step t17 :args ((B_x $$unsorted) (:= B_x B_x)))
% 30.83/31.28  (step t17.t1 (cl (= B_x B_x)) :rule refl)
% 30.83/31.28  (step t17.t2 (cl (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)))) :rule refl)
% 30.83/31.28  (anchor :step t17.t3 :args ((B_xa $$unsorted) (:= B_xa B_xa)))
% 30.83/31.28  (step t17.t3.t1 (cl (= B_xa B_xa)) :rule refl)
% 30.83/31.28  (step t17.t3.t2 (cl (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)))) :rule refl)
% 30.83/31.28  (step t17.t3.t3 (cl (= (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))) :rule all_simplify)
% 30.83/31.28  (step t17.t3.t4 (cl (= (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa))))))))) :rule cong :premises (t17.t3.t2 t17.t3.t3))
% 30.83/31.28  (step t17.t3 (cl (= (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))))) :rule bind)
% 30.83/31.28  (step t17.t4 (cl (= (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_xa $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))))) :rule all_simplify)
% 30.83/31.28  (step t17.t5 (cl (= (forall ((B_xa $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa))))))))) :rule all_simplify)
% 30.83/31.28  (anchor :step t17.t6 :args ((B_xa $$unsorted) (:= B_xa B_xa) (BOUND_VARIABLE_9850 $$unsorted) (:= BOUND_VARIABLE_9850 BOUND_VARIABLE_9850) (BOUND_VARIABLE_9848 $$unsorted) (:= BOUND_VARIABLE_9848 BOUND_VARIABLE_9848)))
% 30.83/31.28  (step t17.t6.t1 (cl (= B_xa B_xa)) :rule refl)
% 30.83/31.28  (step t17.t6.t2 (cl (= BOUND_VARIABLE_9850 BOUND_VARIABLE_9850)) :rule refl)
% 30.83/31.28  (step t17.t6.t3 (cl (= BOUND_VARIABLE_9848 BOUND_VARIABLE_9848)) :rule refl)
% 30.83/31.28  (step t17.t6.t4 (cl (= (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa))))))) :rule all_simplify)
% 30.83/31.28  (step t17.t6 (cl (= (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa))))))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) :rule bind)
% 30.83/31.28  (step t17.t7 (cl (= (forall ((B_xa $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) :rule trans :premises (t17.t5 t17.t6))
% 30.83/31.28  (step t17.t8 (cl (= (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (or (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) :rule trans :premises (t17.t4 t17.t7))
% 30.83/31.28  (step t17.t9 (cl (= (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) :rule trans :premises (t17.t3 t17.t8))
% 30.83/31.28  (step t17.t10 (cl (= (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa))))))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa))))))))) :rule cong :premises (t17.t2 t17.t9))
% 30.83/31.28  (step t17 (cl (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))))) (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))))) :rule bind)
% 30.83/31.28  (step t18 (cl (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))))) :rule all_simplify)
% 30.83/31.28  (step t19 (cl (= (forall ((B_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))))) :rule all_simplify)
% 30.83/31.28  (anchor :step t20 :args ((B_x $$unsorted) (:= B_x B_x) (BOUND_VARIABLE_9882 $$unsorted) (:= BOUND_VARIABLE_9882 BOUND_VARIABLE_9882) (BOUND_VARIABLE_9880 $$unsorted) (:= BOUND_VARIABLE_9880 BOUND_VARIABLE_9880) (BOUND_VARIABLE_9878 $$unsorted) (:= BOUND_VARIABLE_9878 BOUND_VARIABLE_9878)))
% 30.83/31.28  (step t20.t1 (cl (= B_x B_x)) :rule refl)
% 30.83/31.28  (step t20.t2 (cl (= BOUND_VARIABLE_9882 BOUND_VARIABLE_9882)) :rule refl)
% 30.83/31.28  (step t20.t3 (cl (= BOUND_VARIABLE_9880 BOUND_VARIABLE_9880)) :rule refl)
% 30.83/31.28  (step t20.t4 (cl (= BOUND_VARIABLE_9878 BOUND_VARIABLE_9878)) :rule refl)
% 30.83/31.28  (step t20.t5 (cl (= (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) :rule all_simplify)
% 30.83/31.28  (step t20 (cl (= (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))))) :rule bind)
% 30.83/31.28  (step t21 (cl (= (forall ((B_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))))) :rule trans :premises (t19 t20))
% 30.83/31.28  (step t22 (cl (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted) (BOUND_VARIABLE_9850 $$unsorted) (BOUND_VARIABLE_9848 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP B_xa B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9848) BOUND_VARIABLE_9850)) (tptp.hAPP tptp.v_F B_xa)))))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))))) :rule trans :premises (t18 t21))
% 30.83/31.28  (step t23 (cl (= (forall ((B_x $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_xa) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall ((B_a $$unsorted) (B_b $$unsorted)) (=> (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP B_xa B_i))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) B_a) B_b)) (tptp.hAPP tptp.v_F B_xa)))))))))) (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878)))))))) :rule trans :premises (t17 t22))
% 30.83/31.28  (step t24 (cl (forall ((B_x $$unsorted) (BOUND_VARIABLE_9882 $$unsorted) (BOUND_VARIABLE_9880 $$unsorted) (BOUND_VARIABLE_9878 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) B_x) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) BOUND_VARIABLE_9878) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP B_x B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP BOUND_VARIABLE_9878 B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F B_x))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) BOUND_VARIABLE_9882) BOUND_VARIABLE_9880)) (tptp.hAPP tptp.v_F BOUND_VARIABLE_9878))))))) :rule resolution :premises (t16 t23 a8))
% 30.83/31.28  (step t25 (cl (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_HOL_Obool))) tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) (not (forall ((B_i $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_Q____ B_i))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ B_i)))))) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_Q____))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_F tptp.v_P_H____)))))) :rule resolution :premises (t15 t24))
% 30.83/31.29  (step t26 (cl) :rule resolution :premises (t2 t5 t8 t25 a23 a9))
% 30.83/31.29  
% 30.83/31.29  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.gQJIHOtJjH/cvc5---1.0.5_11599.smt2
% 30.83/31.29  % cvc5---1.0.5 exiting
% 30.83/31.29  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------