TSTP Solution File: SWV331-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV331-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 18:05:14 EDT 2024

% Result   : Unsatisfiable 1.67s 1.92s
% Output   : Proof 1.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.33  % Problem    : SWV331-1 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.34  % Command    : do_cvc5 %s %d
% 0.36/0.55  % Computer : n009.cluster.edu
% 0.36/0.55  % Model    : x86_64 x86_64
% 0.36/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.36/0.55  % Memory   : 8042.1875MB
% 0.36/0.55  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.36/0.55  % CPULimit   : 300
% 0.36/0.55  % WCLimit    : 300
% 0.36/0.55  % DateTime   : Mon May 27 00:55:39 EDT 2024
% 0.36/0.55  % CPUTime    : 
% 1.00/1.18  %----Proving TF0_NAR, FOF, or CNF
% 1.00/1.18  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.67/1.92  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.xN2OQfiF7L/cvc5---1.0.5_22282.smt2
% 1.67/1.92  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.xN2OQfiF7L/cvc5---1.0.5_22282.smt2
% 1.76/1.97  (assume a0 (forall ((V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OLeaf V_x T_a T_b) (tptp.c_Datatype__Universe_OLeaf V_y T_a T_b))) (= V_x V_y))))
% 1.76/1.97  (assume a1 (forall ((V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_ONumb V_x T_a T_b) (tptp.c_Datatype__Universe_ONumb V_y T_a T_b))) (= V_x V_y))))
% 1.76/1.97  (assume a2 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (= V_c (tptp.c_Pair (tptp.c_Datatype__Universe_OScons (tptp.c_Main_OdprodE__1 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__2 V_c V_r V_s T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OScons (tptp.c_Main_OdprodE__3 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__4 V_c V_r V_s T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a3 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdprodE__2 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__4 V_c V_r V_s T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a4 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdprodE__1 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__3 V_c V_r V_s T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a5 (forall ((V_N $$unsorted) (V_N_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_s $$unsorted) (V_M $$unsorted) (V_M_H $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_N V_N_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (not (tptp.c_in (tptp.c_Pair V_M V_M_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OScons V_M_H V_N_H T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a6 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a7 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a8 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a9 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a10 (forall ((V_M $$unsorted) (V_M_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_M V_M_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn0 V_M_H T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a11 (forall ((V_N $$unsorted) (V_N_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_s $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_N V_N_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b) (tptp.c_Datatype__Universe_OIn1 V_N_H T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 1.76/1.97  (assume a12 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_c (tptp.c_Datatype__Universe_OScons (tptp.c_Main_OuprodE__1 V_A V_B V_c T_a T_b) (tptp.c_Main_OuprodE__2 V_A V_B V_c T_a T_b) T_a T_b)))))
% 1.76/1.97  (assume a13 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OuprodE__2 V_A V_B V_c T_a T_b) V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 1.76/1.97  (assume a14 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OuprodE__1 V_A V_B V_c T_a T_b) V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 1.76/1.97  (assume a15 (forall ((V_N $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_N V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (not (tptp.c_in V_M V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 1.76/1.97  (assume a16 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_u (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) T_a T_b)) (= V_u (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) T_a T_b)))))
% 1.76/1.97  (assume a17 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (= V_u (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) T_a T_b)))))
% 1.76/1.97  (assume a18 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (= V_u (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) T_a T_b)))))
% 1.76/1.97  (assume a19 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_in (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 1.76/1.97  (assume a20 (forall ((V_M $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_M V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 1.76/1.97  (assume a21 (forall ((V_N $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_N V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b) (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 1.76/1.97  (assume a22 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_m tptp.c_0 tptp.tc_nat)))
% 1.76/1.97  (assume a23 (forall ((V_k $$unsorted)) (tptp.c_Divides_Oop_Advd (tptp.c_Suc tptp.c_0) V_k tptp.tc_nat)))
% 1.76/1.97  (assume a24 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_k V_m tptp.tc_nat) tptp.tc_nat)))
% 1.76/1.97  (assume a25 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_m V_k tptp.tc_nat) tptp.tc_nat)))
% 1.76/1.97  (assume a26 (forall ((V_m $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod V_m V_d tptp.tc_nat) tptp.c_0)) (= V_m (tptp.c_times V_d (tptp.c_Main_Omod__eq__0D__dest__1 V_d V_m) tptp.tc_nat)))))
% 1.76/1.97  (assume a27 (forall ((T_a $$unsorted)) (tptp.c_in tptp.c_emptyset tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))))
% 1.76/1.97  (assume a28 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_insert V_a V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a29 (forall ((V_F $$unsorted) (T_a $$unsorted) (V_G $$unsorted)) (or (not (tptp.c_in V_F tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_inter V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a30 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_F $$unsorted)) (or (not (tptp.c_in V_G tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_inter V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a31 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_in (tptp.c_Main_Ofinite__Union__1 V_A T_a) V_A (tptp.tc_set T_a)) (tptp.c_in (tptp.c_Union V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a32 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_in (tptp.c_Main_Ofinite__Union__1 V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Union V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a33 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_Divides_Oop_Advd (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) V_m tptp.tc_nat)))
% 1.76/1.97  (assume a34 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_Divides_Oop_Advd (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) V_n tptp.tc_nat)))
% 1.76/1.97  (assume a35 (forall ((V_S $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Infinite__Set_Oatmost__one V_S T_a)) (not (tptp.c_in V_y V_S T_a)) (not (tptp.c_in V_x V_S T_a)) (= V_y V_x))))
% 1.76/1.97  (assume a36 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals (tptp.c_uminus (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint V_m) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a37 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_less (tptp.c_uminus (tptp.c_IntDef_Oint (tptp.c_Suc V_n)) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint V_m) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a38 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_m tptp.c_0 tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a39 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd tptp.c_1 V_m tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a40 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_k V_m tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a41 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_m V_k tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a42 (forall ((V_m $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod V_m V_d tptp.tc_IntDef_Oint) tptp.c_0)) (= V_m (tptp.c_times V_d (tptp.c_Main_Ozmod__eq__0D__dest__1 V_d V_m) tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a43 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Oremdups V_xs T_a) T_a)))
% 1.76/1.97  (assume a44 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_List_Oset V_xs T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))))
% 1.76/1.97  (assume a45 (forall ((V_xs $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_U $$unsorted)) (or (not (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (not (tptp.c_in V_U (tptp.c_List_Oset V_xs T_a) T_a)) (tptp.c_in V_U V_A T_a))))
% 1.76/1.97  (assume a46 (forall ((V_xs $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)) (tptp.c_in (tptp.c_Main_Oin__listsI__1 V_A V_xs T_a) (tptp.c_List_Oset V_xs T_a) T_a))))
% 1.76/1.97  (assume a47 (forall ((V_A $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_Oin__listsI__1 V_A V_xs T_a) V_A T_a)) (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a48 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Nat_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)))
% 1.76/1.97  (assume a49 (forall ((V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_y V_ys T_a) V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs (tptp.c_List_Olist_OCons (tptp.c_Main_Olistrel__Cons1__1 V_r V_xs V_y V_ys T_a) (tptp.c_Main_Olistrel__Cons1__2 V_r V_xs V_y V_ys T_a) T_a)))))
% 1.76/1.97  (assume a50 (forall ((V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_y V_ys T_a) V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_ys (tptp.c_Main_Olistrel__Cons1__2 V_r V_xs V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a51 (forall ((V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_y V_ys T_a) V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_y (tptp.c_Main_Olistrel__Cons1__1 V_r V_xs V_y V_ys T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a)))))
% 1.76/1.97  (assume a52 (forall ((V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs (tptp.c_List_Olist_OCons (tptp.c_Main_Olistrel__Cons2__1 V_r V_xs V_y V_ys T_a) (tptp.c_Main_Olistrel__Cons2__2 V_r V_xs V_y V_ys T_a) T_a)))))
% 1.76/1.97  (assume a53 (forall ((V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Olistrel__Cons2__2 V_r V_xs V_y V_ys T_a) V_ys (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a54 (forall ((V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Olistrel__Cons2__1 V_r V_xs V_y V_ys T_a) V_y T_a T_a) V_r (tptp.tc_prod T_a T_a)))))
% 1.76/1.97  (assume a55 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair tptp.c_List_Olist_ONil V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a56 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a57 (forall ((V_x $$unsorted) (V_l $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_List_Olist_OCons V_x V_l T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_l (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a58 (forall ((V_x $$unsorted) (V_l $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_List_Olist_OCons V_x V_l T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_x V_A T_a))))
% 1.76/1.97  (assume a59 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_in V_l (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in (tptp.c_List_Olist_OCons V_a V_l T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a60 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in tptp.c_List_Olist_ONil (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))))
% 1.76/1.97  (assume a61 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_r T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_List_Olenlex V_r T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a62 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_r T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_List_Olex V_r T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a63 (forall ((V_n $$unsorted)) (tptp.c_lessequals tptp.c_0 V_n tptp.tc_nat)))
% 1.76/1.97  (assume a64 (forall ((V_n $$unsorted)) (tptp.c_less V_n (tptp.c_Suc V_n) tptp.tc_nat)))
% 1.76/1.97  (assume a65 (forall ((V_n $$unsorted)) (not (tptp.c_less V_n V_n tptp.tc_nat))))
% 1.76/1.97  (assume a66 (forall ((V_n $$unsorted)) (tptp.c_less tptp.c_0 (tptp.c_Suc V_n) tptp.tc_nat)))
% 1.76/1.97  (assume a67 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 1.76/1.97  (assume a68 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a)) (tptp.c_in (tptp.c_Pair V_a (tptp.c_Main_ODomainE__1 V_a V_r T_a T_b) T_a T_b) V_r (tptp.tc_prod T_a T_b)))))
% 1.76/1.97  (assume a69 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a))))
% 1.76/1.97  (assume a70 (forall ((V_p $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_p tptp.c_Relation_OId (tptp.tc_prod T_a T_a))) (= V_p (tptp.c_Pair (tptp.c_Main_OIdE__1 V_p T_a) (tptp.c_Main_OIdE__1 V_p T_a) T_a T_a)))))
% 1.76/1.97  (assume a71 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)) (tptp.c_in (tptp.c_Main_OImageE__1 V_A V_b V_r T_b T_a) V_A T_b))))
% 1.76/1.97  (assume a72 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OImageE__1 V_A V_b V_r T_b T_a) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 1.76/1.97  (assume a73 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_a T_b) T_b))))
% 1.76/1.97  (assume a74 (forall ((V_b $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_b T_a) T_a)) (tptp.c_in (tptp.c_Pair (tptp.c_Main_ORangeE__1 V_b V_r T_a T_b) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 1.76/1.97  (assume a75 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_a T_b) T_b))))
% 1.76/1.97  (assume a76 (forall ((V_yx $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_yx (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OconverseE__1 V_r V_yx T_b T_a) (tptp.c_Main_OconverseE__2 V_r V_yx T_b T_a) T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 1.76/1.97  (assume a77 (forall ((V_yx $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_yx (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b))) (= V_yx (tptp.c_Pair (tptp.c_Main_OconverseE__2 V_r V_yx T_b T_a) (tptp.c_Main_OconverseE__1 V_r V_yx T_b T_a) T_a T_b)))))
% 1.76/1.97  (assume a78 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Relation_Odiag V_A T_a) (tptp.tc_prod T_a T_a))) (= V_c (tptp.c_Pair (tptp.c_Main_OdiagE__1 V_A V_c T_a) (tptp.c_Main_OdiagE__1 V_A V_c T_a) T_a T_a)))))
% 1.76/1.97  (assume a79 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Relation_Odiag V_A T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Main_OdiagE__1 V_A V_c T_a) V_A T_a))))
% 1.76/1.97  (assume a80 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Relation_Odiag V_A T_a) (tptp.tc_prod T_a T_a)))))
% 1.76/1.97  (assume a81 (forall ((V_xz $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_xz (tptp.c_Relation_Orel__comp V_r V_s T_c T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Orel__compE__2 V_r V_s V_xz T_c T_b T_a) (tptp.c_Main_Orel__compE__3 V_r V_s V_xz T_c T_b T_a) T_c T_b) V_r (tptp.tc_prod T_c T_b)))))
% 1.76/1.97  (assume a82 (forall ((V_xz $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_xz (tptp.c_Relation_Orel__comp V_r V_s T_c T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Orel__compE__1 V_r V_s V_xz T_c T_b T_a) (tptp.c_Main_Orel__compE__2 V_r V_s V_xz T_c T_b T_a) T_a T_c) V_s (tptp.tc_prod T_a T_c)))))
% 1.76/1.97  (assume a83 (forall ((V_xz $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_xz (tptp.c_Relation_Orel__comp V_r V_s T_c T_b T_a) (tptp.tc_prod T_a T_b))) (= V_xz (tptp.c_Pair (tptp.c_Main_Orel__compE__1 V_r V_s V_xz T_c T_b T_a) (tptp.c_Main_Orel__compE__3 V_r V_s V_xz T_c T_b T_a) T_a T_b)))))
% 1.76/1.97  (assume a84 (forall ((V_b $$unsorted) (V_c $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_s $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_b V_c T_b T_c) V_r (tptp.tc_prod T_b T_c))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_s (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair V_a V_c T_a T_c) (tptp.c_Relation_Orel__comp V_r V_s T_b T_c T_a) (tptp.tc_prod T_a T_c)))))
% 1.76/1.97  (assume a85 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastAtMost V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 1.76/1.97  (assume a86 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastAtMost V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a87 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastLessThan V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 1.76/1.97  (assume a88 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastLessThan V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a89 (forall ((V_k $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatMost V_k tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 1.76/1.97  (assume a90 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 1.76/1.97  (assume a91 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a92 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 1.76/1.97  (assume a93 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a94 (forall ((V_k $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OlessThan V_k tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 1.76/1.97  (assume a95 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a) (tptp.c_in (tptp.c_Main_OInterI__1 V_A V_C T_a) V_C (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a96 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Main_OInterI__1 V_A V_C T_a) T_a)) (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a))))
% 1.76/1.97  (assume a97 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x tptp.c_UNIV T_a)))
% 1.76/1.97  (assume a98 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in (tptp.c_Main_OUnionE__1 V_A V_C T_a) V_C (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a99 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in V_A (tptp.c_Main_OUnionE__1 V_A V_C T_a) T_a))))
% 1.76/1.97  (assume a100 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals tptp.c_emptyset V_A (tptp.tc_set T_a))))
% 1.76/1.97  (assume a101 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_A V_B (tptp.tc_set T_a))) (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))))))
% 1.76/1.97  (assume a102 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a103 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_less V_A V_B (tptp.tc_set T_a)) (= V_A V_B))))
% 1.76/1.97  (assume a104 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_insert V_a tptp.c_emptyset T_a) T_a)) (= V_b V_a))))
% 1.76/1.97  (assume a105 (forall ((V_a $$unsorted) (T_a $$unsorted)) (tptp.c_in V_a (tptp.c_insert V_a tptp.c_emptyset T_a) T_a)))
% 1.76/1.97  (assume a106 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_insert V_a tptp.c_emptyset T_a) (tptp.c_insert V_b tptp.c_emptyset T_a))) (= V_a V_b))))
% 1.76/1.97  (assume a107 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_c V_B T_a))))
% 1.76/1.97  (assume a108 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a109 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a110 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (= V_A V_B))))
% 1.76/1.97  (assume a111 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a))))
% 1.76/1.97  (assume a112 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (tptp.c_in (tptp.c_Sum__Type_OInl V_a T_a T_b) (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b)))))
% 1.76/1.97  (assume a113 (forall ((V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_b V_B T_a)) (tptp.c_in (tptp.c_Sum__Type_OInr V_b T_a T_b) (tptp.c_Sum__Type_OPlus V_A V_B T_b T_a) (tptp.tc_sum T_b T_a)))))
% 1.76/1.97  (assume a114 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (= V_u (tptp.c_Sum__Type_OInl (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) T_a T_b)) (= V_u (tptp.c_Sum__Type_OInr (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) T_b T_a)))))
% 1.76/1.97  (assume a115 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (tptp.c_in (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) V_B T_b) (= V_u (tptp.c_Sum__Type_OInl (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) T_a T_b)))))
% 1.76/1.97  (assume a116 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (tptp.c_in (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) V_A T_a) (= V_u (tptp.c_Sum__Type_OInr (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) T_b T_a)))))
% 1.76/1.97  (assume a117 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (tptp.c_in (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) V_A T_a) (tptp.c_in (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) V_B T_b))))
% 1.76/1.97  (assume a118 (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_p V_r (tptp.tc_prod T_a T_a))) (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 1.76/1.97  (assume a119 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))
% 1.76/1.97  (assume a120 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 1.76/1.97  (assume a121 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 1.76/1.97  (assume a122 (forall ((T_a $$unsorted)) (tptp.c_Wellfounded__Recursion_Owf tptp.c_emptyset T_a)))
% 1.76/1.97  (assume a123 (tptp.c_Relation_Otrans tptp.c_Wellfounded__Relations_Oless__than tptp.tc_nat))
% 1.76/1.97  (assume a124 (forall ((V_R2 $$unsorted) (T_b $$unsorted) (V_R1 $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Relation_Otrans V_R2 T_b)) (not (tptp.c_Relation_Otrans V_R1 T_a)) (tptp.c_Relation_Otrans (tptp.c_Wellfounded__Relations_Olex__prod V_R1 V_R2 T_a T_b) (tptp.tc_prod T_a T_b)))))
% 1.76/1.97  (assume a125 (tptp.c_Wellfounded__Recursion_Owf tptp.c_Wellfounded__Relations_Oless__than tptp.tc_nat))
% 1.76/1.97  (assume a126 (forall ((V_rb $$unsorted) (T_b $$unsorted) (V_ra $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_rb T_b)) (not (tptp.c_Wellfounded__Recursion_Owf V_ra T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_Wellfounded__Relations_Olex__prod V_ra V_rb T_a T_b) (tptp.tc_prod T_a T_b)))))
% 1.76/1.97  (assume a127 (forall ((T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_Datatype_Ooption T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)))))
% 1.76/1.97  (assume a128 (tptp.class_HOL_Ominus tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a129 (tptp.class_HOL_Oone tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a130 (tptp.class_Ring__and__Field_Osemiring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a131 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a132 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a133 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a134 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a135 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a136 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a137 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a138 (tptp.class_Ring__and__Field_Osemiring__0__cancel tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a139 (tptp.class_Ring__and__Field_Oring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a140 (tptp.class_HOL_Oplus tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a141 (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a142 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a143 (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a144 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a145 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a146 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a147 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a148 (tptp.class_Ring__and__Field_Osemiring__1__cancel tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a149 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a150 (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a151 (tptp.class_HOL_Otimes tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a152 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a153 (tptp.class_Orderings_Oorder tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a154 (tptp.class_LOrder_Omeet__semilorder tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a155 (tptp.class_LOrder_Ojoin__semilorder tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a156 (tptp.class_LOrder_Olorder tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a157 (tptp.class_Orderings_Olinorder tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a158 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a159 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a160 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a161 (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a162 (tptp.class_HOL_Ozero tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a163 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a164 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a165 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a166 (tptp.class_Ring__and__Field_Opordered__comm__semiring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a167 (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a168 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a169 (tptp.class_Ring__and__Field_Oaxclass__abs__if tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a170 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a171 (tptp.class_OrderedGroup_Olordered__ab__group tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a172 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a173 (tptp.class_Orderings_Oord tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a174 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a175 (tptp.class_OrderedGroup_Olordered__ab__group__meet tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a176 (tptp.class_OrderedGroup_Olordered__ab__group__join tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a177 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a178 (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a179 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a180 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a181 (tptp.class_Ring__and__Field_Oidom tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a182 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a183 (tptp.class_Numeral_Onumber tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a184 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a185 (tptp.class_Numeral_Onumber__ring tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a186 (tptp.class_Divides_Odiv tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a187 (tptp.class_Nat_Opower tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a188 (tptp.class_Power_Orecpower tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a189 (tptp.class_Parity_Oeven__odd tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a190 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a191 (tptp.class_OrderedGroup_Osemigroup__mult tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a192 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a193 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit))
% 1.76/1.97  (assume a194 (tptp.class_Finite__Set_Ofinite tptp.tc_bool))
% 1.76/1.97  (assume a195 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_fun T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite T_2)))))
% 1.76/1.97  (assume a196 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (tptp.class_Nat_Opower (tptp.tc_fun T_2 T_1))))
% 1.76/1.97  (assume a197 (tptp.class_HOL_Oone tptp.tc_nat))
% 1.76/1.97  (assume a198 (tptp.class_HOL_Ozero tptp.tc_nat))
% 1.76/1.97  (assume a199 (tptp.class_HOL_Oplus tptp.tc_nat))
% 1.76/1.97  (assume a200 (tptp.class_HOL_Otimes tptp.tc_nat))
% 1.76/1.97  (assume a201 (tptp.class_Nat_Opower tptp.tc_nat))
% 1.76/1.97  (assume a202 (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 tptp.tc_nat))
% 1.76/1.97  (assume a203 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat))
% 1.76/1.97  (assume a204 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 1.76/1.97  (assume a205 (tptp.class_OrderedGroup_Osemigroup__mult tptp.tc_nat))
% 1.76/1.97  (assume a206 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 1.76/1.97  (assume a207 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 1.76/1.97  (assume a208 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 1.76/1.97  (assume a209 (tptp.class_Orderings_Oord tptp.tc_nat))
% 1.76/1.97  (assume a210 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 1.76/1.97  (assume a211 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat))
% 1.76/1.97  (assume a212 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_nat))
% 1.76/1.97  (assume a213 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 1.76/1.97  (assume a214 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 1.76/1.97  (assume a215 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat))
% 1.76/1.97  (assume a216 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 1.76/1.97  (assume a217 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 1.76/1.97  (assume a218 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 1.76/1.97  (assume a219 (tptp.class_Ring__and__Field_Osemiring__0__cancel tptp.tc_nat))
% 1.76/1.97  (assume a220 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 1.76/1.97  (assume a221 (tptp.class_Ring__and__Field_Osemiring__1__cancel tptp.tc_nat))
% 1.76/1.97  (assume a222 (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel tptp.tc_nat))
% 1.76/1.97  (assume a223 (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel tptp.tc_nat))
% 1.76/1.97  (assume a224 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat))
% 1.76/1.97  (assume a225 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 1.76/1.97  (assume a226 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 1.76/1.97  (assume a227 (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add tptp.tc_nat))
% 1.76/1.97  (assume a228 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat))
% 1.76/1.97  (assume a229 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat))
% 1.76/1.97  (assume a230 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 1.76/1.97  (assume a231 (tptp.class_LOrder_Omeet__semilorder tptp.tc_nat))
% 1.76/1.97  (assume a232 (tptp.class_Ring__and__Field_Opordered__comm__semiring tptp.tc_nat))
% 1.76/1.97  (assume a233 (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring tptp.tc_nat))
% 1.76/1.97  (assume a234 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 1.76/1.97  (assume a235 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 1.76/1.97  (assume a236 (tptp.class_Divides_Odiv tptp.tc_nat))
% 1.76/1.97  (assume a237 (tptp.class_Power_Orecpower tptp.tc_nat))
% 1.76/1.97  (assume a238 (tptp.class_Numeral_Onumber tptp.tc_nat))
% 1.76/1.97  (assume a239 (tptp.class_Parity_Oeven__odd tptp.tc_nat))
% 1.76/1.97  (assume a240 (tptp.class_LOrder_Ojoin__semilorder tptp.tc_nat))
% 1.76/1.97  (assume a241 (tptp.class_LOrder_Olorder tptp.tc_nat))
% 1.76/1.97  (assume a242 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 1.76/1.97  (assume a243 (tptp.class_Wellfounded__Recursion_Owellorder tptp.tc_nat))
% 1.76/1.97  (assume a244 (tptp.class_HOL_Ominus tptp.tc_nat))
% 1.76/1.97  (assume a245 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_prod T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite T_2)))))
% 1.76/1.97  (assume a246 (forall ((T_1 $$unsorted)) (tptp.class_HOL_Ominus (tptp.tc_set T_1))))
% 1.76/1.97  (assume a247 (forall ((T_1 $$unsorted)) (tptp.class_Orderings_Oord (tptp.tc_set T_1))))
% 1.76/1.97  (assume a248 (forall ((T_1 $$unsorted)) (tptp.class_Orderings_Oorder (tptp.tc_set T_1))))
% 1.76/1.97  (assume a249 (forall ((T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_set T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)))))
% 1.76/1.97  (assume a250 (forall ((T_1 $$unsorted)) (tptp.class_Nat_Opower (tptp.tc_set T_1))))
% 1.76/1.97  (assume a251 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_sum T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite T_2)))))
% 1.76/1.97  (assume a252 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a253 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a254 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a255 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a256 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a257 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a258 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Omeet__semilorder T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a259 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Omeet__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a260 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a261 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a262 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a263 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a264 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a265 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a266 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a267 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a268 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a269 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a270 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a271 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 1.76/1.97  (assume a272 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a273 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a274 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a275 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a276 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a277 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a278 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a279 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a280 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 1.76/1.97  (assume a281 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a282 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 1.76/1.97  (assume a283 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a284 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Numeral_Onumber T))))
% 1.76/1.97  (assume a285 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a286 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a287 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a288 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a289 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a290 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a291 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a292 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a293 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a294 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a295 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a296 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a297 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a298 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a299 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a300 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a301 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a302 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a303 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a304 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a305 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a306 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a307 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a308 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a309 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a310 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a311 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a312 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a313 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a314 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a315 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a316 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a317 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a318 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a319 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a320 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a321 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a322 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a323 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a324 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a325 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a326 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a327 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a328 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a329 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a330 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a331 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a332 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a333 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a334 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a335 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a336 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 1.76/1.97  (assume a337 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a338 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a339 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a340 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a341 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a342 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a343 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a344 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a345 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a346 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a347 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a348 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a349 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a350 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a351 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a352 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a353 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a354 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a355 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a356 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a357 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a358 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a359 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a360 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a361 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a362 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a363 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 1.76/1.97  (assume a364 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a365 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a366 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a367 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a368 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a369 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a370 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a371 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a372 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a373 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a374 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a375 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a376 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a377 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a378 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a379 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a380 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a381 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a382 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 1.76/1.97  (assume a383 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a384 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a385 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a386 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a387 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a388 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a389 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a390 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a391 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a392 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a393 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a394 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a395 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a396 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a397 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a398 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a399 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a400 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a401 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a402 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a403 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a404 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a405 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a406 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a407 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a408 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a409 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a410 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a411 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a412 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a413 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a414 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a415 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a416 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a417 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a418 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a419 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a420 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a421 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a422 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a423 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a424 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a425 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a426 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a427 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a428 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a429 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a430 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a431 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a432 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a433 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a434 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a435 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a436 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a437 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a438 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a439 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a440 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a441 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a442 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a443 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a444 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a445 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a446 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__add T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a447 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__mult T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a448 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a449 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a450 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a451 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a452 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a453 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Oorder T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a454 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Nat_Opower T))))
% 1.76/1.97  (assume a455 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a456 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a457 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a458 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a459 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a460 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a461 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a462 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a463 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a464 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a465 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a466 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a467 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a468 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a469 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a470 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a471 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a472 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a473 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a474 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a475 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a476 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a477 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a478 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a479 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a480 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a481 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__abs__if T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a482 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__abs__if T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a483 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__abs__if T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a484 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a485 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a486 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a487 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a488 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a489 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a490 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a491 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a492 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a493 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a494 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a495 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a496 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a497 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a498 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a499 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a500 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a501 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a502 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a503 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a504 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a505 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 1.76/1.97  (assume a506 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a507 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a508 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a509 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a510 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a511 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a512 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a513 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a514 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a515 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a516 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a517 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a518 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a519 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a520 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a521 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a522 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a523 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a524 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 1.76/1.97  (assume a525 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a526 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a527 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a528 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a529 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a530 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a531 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a532 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a533 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a534 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a535 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a536 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a537 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a538 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a539 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a540 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a541 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a542 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a543 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a544 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a545 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a546 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a547 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a548 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a549 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a550 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a551 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a552 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a553 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a554 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a555 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a556 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a557 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a558 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a559 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a560 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a561 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a562 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a563 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a564 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a565 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a566 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a567 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a568 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a569 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a570 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a571 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a572 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a573 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a574 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a575 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a576 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a577 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a578 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a579 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a580 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a581 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a582 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a583 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a584 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a585 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a586 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a587 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a588 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a589 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a590 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a591 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a592 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a593 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a594 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a595 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a596 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a597 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a598 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a599 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a600 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a601 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a602 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a603 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a604 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a605 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a606 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a607 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a608 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T)) (tptp.class_HOL_Oinverse T))))
% 1.76/1.97  (assume a609 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 1.76/1.97  (assume a610 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 1.76/1.97  (assume a611 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a612 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a613 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a614 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a615 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a616 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a617 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a618 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a619 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a620 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a621 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 1.76/1.97  (assume a622 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a623 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a624 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a625 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a626 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a627 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a628 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a629 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a630 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a631 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a632 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a633 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Oinverse T))))
% 1.76/1.97  (assume a634 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oidom T))))
% 1.76/1.97  (assume a635 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 1.76/1.97  (assume a636 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a637 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a638 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a639 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a640 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a641 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a642 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 1.76/1.97  (assume a643 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 1.76/1.97  (assume a644 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a645 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a646 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a647 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a648 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a649 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a650 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a651 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a652 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a653 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a654 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 1.76/1.97  (assume a655 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a656 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a657 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a658 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a659 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a660 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a661 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a662 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a663 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a664 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a665 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a666 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 1.76/1.97  (assume a667 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a668 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a669 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a670 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a671 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a672 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a673 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 1.76/1.97  (assume a674 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a675 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a676 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a677 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a678 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a679 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a680 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a681 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a682 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a683 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a684 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a685 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a686 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a687 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a688 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a689 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a690 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 1.76/1.97  (assume a691 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 1.76/1.97  (assume a692 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a693 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a694 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a695 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 1.76/1.97  (assume a696 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a697 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 1.76/1.97  (assume a698 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a699 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a700 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a701 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a702 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a703 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a704 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a705 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a706 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a707 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a708 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a709 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a710 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a711 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a712 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a713 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a714 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a715 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a716 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a717 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a718 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a719 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a720 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a721 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 1.76/1.97  (assume a722 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a723 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a724 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a725 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 1.76/1.97  (assume a726 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 1.76/1.97  (assume a727 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a728 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a729 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a730 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a731 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a732 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a733 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a734 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ofield T))))
% 1.76/1.97  (assume a735 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Oinverse T))))
% 1.76/1.97  (assume a736 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a737 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a738 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a739 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a740 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a741 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a742 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a743 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a744 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a745 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a746 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oidom T))))
% 1.76/1.97  (assume a747 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a748 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a749 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a750 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a751 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a752 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a753 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a754 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a755 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a756 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a757 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 1.76/1.97  (assume a758 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a759 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 1.76/1.97  (assume a760 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a761 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a762 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__idom T))))
% 1.76/1.97  (assume a763 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T))))
% 1.76/1.97  (assume a764 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 1.76/1.97  (assume a765 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 1.76/1.97  (assume a766 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__ring__strict T))))
% 1.76/1.97  (assume a767 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 1.76/1.97  (assume a768 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 1.76/1.97  (assume a769 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a770 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a771 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oaxclass__abs__if T))))
% 1.76/1.97  (assume a772 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Olordered__ring T))))
% 1.76/1.97  (assume a773 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 1.76/1.97  (assume a774 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a775 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a776 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 1.76/1.97  (assume a777 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 1.76/1.97  (assume a778 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 1.76/1.97  (assume a779 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 1.76/1.97  (assume a780 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 1.76/1.97  (assume a781 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a782 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a783 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a784 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a785 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a786 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a787 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a788 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a789 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a790 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a791 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__semidom T))))
% 1.76/1.97  (assume a792 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a793 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a794 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a795 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 1.76/1.97  (assume a796 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 1.76/1.97  (assume a797 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a798 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a799 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a800 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a801 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a802 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a803 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a804 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a805 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a806 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a807 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 1.76/1.97  (assume a808 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a809 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a810 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a811 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a812 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a813 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a814 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a815 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a816 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a817 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a818 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a819 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T))))
% 1.76/1.97  (assume a820 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 1.76/1.97  (assume a821 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a822 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a823 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a824 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a825 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a826 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a827 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a828 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 1.76/1.97  (assume a829 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a830 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a831 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 1.76/1.97  (assume a832 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a833 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a834 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a835 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a836 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oaxclass__abs__if T))))
% 1.76/1.97  (assume a837 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__ring__strict T))))
% 1.76/1.97  (assume a838 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Olordered__ring T))))
% 1.76/1.97  (assume a839 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 1.76/1.97  (assume a840 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a841 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 1.76/1.97  (assume a842 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 1.76/1.97  (assume a843 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 1.76/1.97  (assume a844 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 1.76/1.97  (assume a845 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a846 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__semidom T))))
% 1.76/1.97  (assume a847 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 1.76/1.97  (assume a848 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oidom T))))
% 1.76/1.97  (assume a849 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a850 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a851 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a852 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a853 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a854 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a855 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a856 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a857 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a858 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a859 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a860 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 1.76/1.97  (assume a861 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a862 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a863 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a864 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a865 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a866 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a867 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a868 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a869 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a870 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a871 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a872 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a873 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a874 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oaxclass__abs__if T))))
% 1.76/1.97  (assume a875 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 1.76/1.97  (assume a876 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a877 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a878 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Olordered__ring T))))
% 1.76/1.97  (assume a879 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 1.76/1.97  (assume a880 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 1.76/1.97  (assume a881 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 1.76/1.97  (assume a882 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 1.76/1.97  (assume a883 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 1.76/1.97  (assume a884 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a885 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a886 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a887 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a888 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a889 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a890 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 1.76/1.97  (assume a891 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 1.76/1.97  (assume a892 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a893 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a894 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a895 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a896 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a897 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a898 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a899 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a900 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a901 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a902 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 1.76/1.97  (assume a903 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a904 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a905 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a906 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a907 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T))))
% 1.76/1.97  (assume a908 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 1.76/1.97  (assume a909 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a910 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a911 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a912 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a913 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a914 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a915 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a916 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a917 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 1.76/1.97  (assume a918 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a919 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 1.76/1.97  (assume a920 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a921 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a922 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a923 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a924 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a925 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a926 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a927 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a928 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a929 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a930 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a931 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a932 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a933 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a934 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a935 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a936 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a937 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a938 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a939 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a940 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a941 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a942 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a943 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a944 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a945 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a946 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a947 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a948 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a949 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a950 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a951 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a952 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a953 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a954 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 1.76/1.97  (assume a955 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a956 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a957 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a958 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a959 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a960 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a961 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a962 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a963 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a964 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a965 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a966 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a967 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a968 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a969 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a970 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a971 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a972 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a973 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a974 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a975 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a976 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a977 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a978 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a979 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a980 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a981 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a982 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a983 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a984 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a985 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a986 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a987 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a988 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a989 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a990 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a991 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 1.76/1.97  (assume a992 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a993 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a994 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a995 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a996 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a997 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a998 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a999 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1000 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a1001 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1002 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1003 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a1004 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 1.76/1.97  (assume a1005 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a1006 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a1007 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a1008 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a1009 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a1010 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 1.76/1.97  (assume a1011 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a1012 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a1013 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a1014 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a1015 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1016 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 1.76/1.97  (assume a1017 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 1.76/1.97  (assume a1018 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1019 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1020 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a1021 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a1022 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a1023 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a1024 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 1.76/1.97  (assume a1025 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1026 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1027 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1028 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1029 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1030 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1031 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1032 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a1033 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a1034 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1035 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1036 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1037 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1038 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1039 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 1.76/1.97  (assume a1040 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a1041 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a1042 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a1043 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 1.76/1.97  (assume a1044 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a1045 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 1.76/1.97  (assume a1046 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a1047 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 1.76/1.97  (assume a1048 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a1049 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a1050 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a1051 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1052 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1053 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1054 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1055 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1056 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1057 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a1058 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a1059 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1060 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1061 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1062 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1063 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1064 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1065 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1066 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 1.76/1.97  (assume a1067 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1068 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1069 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a1070 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a1071 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a1072 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1073 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1074 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1075 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1076 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1077 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a1078 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a1079 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1080 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1081 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Oring T))))
% 1.76/1.97  (assume a1082 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 1.76/1.97  (assume a1083 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1084 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1085 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1086 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1087 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1088 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a1089 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a1090 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a1091 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a1092 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 1.76/1.97  (assume a1093 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Ominus T))))
% 1.76/1.97  (assume a1094 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a1095 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a1096 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a1097 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1098 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1099 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1100 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1101 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1102 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1103 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1104 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1105 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1106 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1107 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1108 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1109 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1110 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1111 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1112 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1113 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1114 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1115 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1116 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a1117 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1118 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1119 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1120 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1121 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1122 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1123 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1124 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a1125 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a1126 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1127 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1128 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a1129 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a1130 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1131 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1132 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1133 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1134 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1135 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1136 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1137 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 1.76/1.97  (assume a1138 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 1.76/1.97  (assume a1139 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Oone T))))
% 1.76/1.97  (assume a1140 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 1.76/1.97  (assume a1141 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Otimes T))))
% 1.76/1.97  (assume a1142 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 1.76/1.97  (assume a1143 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 1.76/1.97  (assume a1144 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 1.76/1.97  (assume a1145 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 1.76/1.97  (assume a1146 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 1.76/1.97  (assume a1147 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 1.76/1.97  (assume a1148 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Ozero T))))
% 1.76/1.97  (assume a1149 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 1.76/1.97  (assume a1150 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 1.76/1.97  (assume a1151 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Oplus T))))
% 1.76/1.97  (assume a1152 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 1.76/1.97  (assume a1153 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_Orderings_Oord T))))
% 1.76/1.97  (assume a1154 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_Orderings_Oorder T))))
% 1.76/1.97  (assume a1155 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 1.76/1.97  (assume a1156 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 1.76/1.97  (assume a1157 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_LOrder_Olorder T))))
% 1.76/1.97  (assume a1158 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_Orderings_Olinorder T))))
% 1.76/1.97  (assume a1159 (forall ((V_k $$unsorted)) (= (tptp.c_Binomial_Obinomial tptp.c_0 (tptp.c_Suc V_k)) tptp.c_0)))
% 1.76/1.97  (assume a1160 (forall ((V_y $$unsorted)) (= (tptp.c_Binomial_Obinomial V_y (tptp.c_Suc tptp.c_0)) V_y)))
% 1.76/1.97  (assume a1161 (forall ((V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_Binomial_Obinomial (tptp.c_Suc V_n) (tptp.c_Suc V_k)) (tptp.c_plus (tptp.c_Binomial_Obinomial V_n V_k) (tptp.c_Binomial_Obinomial V_n (tptp.c_Suc V_k)) tptp.tc_nat))))
% 1.76/1.97  (assume a1162 (forall ((V_n $$unsorted)) (= (tptp.c_Binomial_Obinomial (tptp.c_Suc V_n) V_n) (tptp.c_Suc V_n))))
% 1.76/1.97  (assume a1163 (forall ((V_n $$unsorted)) (= (tptp.c_Binomial_Obinomial V_n tptp.c_0) tptp.c_1)))
% 1.76/1.97  (assume a1164 (forall ((V_n $$unsorted)) (= (tptp.c_Binomial_Obinomial V_n V_n) tptp.c_1)))
% 1.76/1.97  (assume a1165 (forall ((V_x $$unsorted) (V_xo $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_Datatype_Oo2s V_xo T_a) T_a)) (= V_xo (tptp.c_Datatype_Ooption_OSome V_x T_a)))))
% 1.76/1.97  (assume a1166 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Datatype_Oo2s (tptp.c_Datatype_Ooption_OSome V_x T_a) T_a) T_a)))
% 1.76/1.97  (assume a1167 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x tptp.c_Datatype_Ooption_ONone) (= V_x (tptp.c_Datatype_Ooption_OSome (tptp.c_Main_Onot__None__eq__1 V_x T_a) T_a)))))
% 1.76/1.97  (assume a1168 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x tptp.c_Datatype_Ooption_ONone) (= V_x (tptp.c_Datatype_Ooption_OSome (tptp.c_Main_Onot__Some__eq__1 V_x T_a) T_a)))))
% 1.76/1.97  (assume a1169 (forall ((V_x $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_Datatype_Oo2s (tptp.c_Datatype_Ooption_OSome V_x T_a__1) T_a__1) (tptp.c_insert V_x tptp.c_emptyset T_a__1))))
% 1.76/1.97  (assume a1170 (forall ((V_xo $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Datatype_Oo2s V_xo T_a) tptp.c_emptyset)) (= V_xo tptp.c_Datatype_Ooption_ONone))))
% 1.76/1.97  (assume a1171 (forall ((T_a $$unsorted)) (= (tptp.c_Datatype_Oo2s tptp.c_Datatype_Ooption_ONone T_a) tptp.c_emptyset)))
% 1.76/1.97  (assume a1172 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= tptp.c_Datatype_Ooption_ONone (tptp.c_Datatype_Ooption_OSome V_a_H T_a)))))
% 1.76/1.97  (assume a1173 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Datatype_Ooption_OSome V_a_H T_a) tptp.c_Datatype_Ooption_ONone))))
% 1.76/1.97  (assume a1174 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_Datatype_Ooption_OSome V_a T_a) (tptp.c_Datatype_Ooption_OSome V_a_H T_a))) (= V_a V_a_H))))
% 1.76/1.97  (assume a1175 (forall ((T_a $$unsorted)) (= (tptp.c_Nat_Osize tptp.c_Datatype_Ooption_ONone (tptp.tc_Datatype_Ooption T_a)) tptp.c_0)))
% 1.76/1.97  (assume a1176 (forall ((V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Datatype_Ooption_OSome V_a T_a) (tptp.tc_Datatype_Ooption T_a)) tptp.c_0)))
% 1.76/1.97  (assume a1177 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Pair V_a V_b T_a T_b) (tptp.tc_prod T_a T_b)) tptp.c_0)))
% 1.76/1.97  (assume a1178 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Sum__Type_OInl V_a T_a T_b) (tptp.tc_sum T_a T_b)) tptp.c_0)))
% 1.76/1.97  (assume a1179 (forall ((V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Sum__Type_OInr V_b T_b T_a) (tptp.tc_sum T_a T_b)) tptp.c_0)))
% 1.76/1.97  (assume a1180 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Datatype_Othe (tptp.c_Datatype_Ooption_OSome V_y T_a) T_a) V_y)))
% 1.76/1.97  (assume a1181 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Datatype_Ounit_Ounit__case V_y tptp.c_Product__Type_OUnity T_a) V_y)))
% 1.76/1.97  (assume a1182 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Datatype_Ounit_Ounit__rec V_y tptp.c_Product__Type_OUnity T_a) V_y)))
% 1.76/1.97  (assume a1183 (= (tptp.c_Nat_Osize tptp.c_Product__Type_OUnity tptp.tc_Product__Type_Ounit) tptp.c_0))
% 1.76/1.97  (assume a1184 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OAtom V_a T_a T_b) (tptp.c_Datatype__Universe_OAtom V_b T_a T_b))) (= V_a V_b))))
% 1.76/1.97  (assume a1185 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_OAtom V_a T_a T_b) (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b)))))
% 1.76/1.97  (assume a1186 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Ouprod (tptp.c_Relation_ODomain V_r (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Relation_ODomain V_s (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) T_a T_b))))
% 1.76/1.97  (assume a1187 (forall ((V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Ousum (tptp.c_Relation_ODomain V_r (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Relation_ODomain V_s (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) T_a T_b))))
% 1.76/1.97  (assume a1188 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_N $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn0 V_N T_a T_b))) (= V_M V_N))))
% 1.76/1.97  (assume a1189 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b)))))
% 1.76/1.97  (assume a1190 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_N $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OIn1 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b))) (= V_M V_N))))
% 1.76/1.97  (assume a1191 (forall ((V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted)) (not (= (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b) (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b)))))
% 1.76/1.97  (assume a1192 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_k $$unsorted)) (not (= (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b) (tptp.c_Datatype__Universe_ONumb V_k T_a T_b)))))
% 1.76/1.97  (assume a1193 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b) (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b)))))
% 1.76/1.97  (assume a1194 (forall ((V_k $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Datatype__Universe_ONumb V_k T_a T_b) (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b)))))
% 1.76/1.97  (assume a1195 (forall ((V_k $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_ONumb V_k T_a T_b) (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b)))))
% 1.76/1.97  (assume a1196 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M_H $$unsorted) (V_N_H $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OScons V_M_H V_N_H T_a T_b))) (= V_M V_M_H))))
% 1.76/1.97  (assume a1197 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M_H $$unsorted) (V_N_H $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OScons V_M_H V_N_H T_a T_b))) (= V_N V_N_H))))
% 1.76/1.97  (assume a1198 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OAtom V_a T_a T_b)))))
% 1.76/1.97  (assume a1199 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b)))))
% 1.76/1.97  (assume a1200 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_k $$unsorted)) (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_ONumb V_k T_a T_b)))))
% 1.76/1.97  (assume a1201 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc tptp.c_0 V_M T_a T_b) tptp.c_emptyset)))
% 1.76/1.97  (assume a1202 (forall ((V_k $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc V_k) (tptp.c_Datatype__Universe_OAtom V_a T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OAtom V_a T_a T_b))))
% 1.76/1.97  (assume a1203 (forall ((V_k $$unsorted) (V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc (tptp.c_Suc V_k)) (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn0 (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc V_k) V_M T_a T_b) T_a T_b))))
% 1.76/1.97  (assume a1204 (forall ((V_k $$unsorted) (V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc (tptp.c_Suc V_k)) (tptp.c_Datatype__Universe_OIn1 V_M T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn1 (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc V_k) V_M T_a T_b) T_a T_b))))
% 1.76/1.97  (assume a1205 (forall ((V_k $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc V_k) (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b))))
% 1.76/1.97  (assume a1206 (forall ((V_k $$unsorted) (V_i $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc V_k) (tptp.c_Datatype__Universe_ONumb V_i T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_ONumb V_i T_a T_b))))
% 1.76/1.97  (assume a1207 (forall ((V_k $$unsorted) (V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc V_k) (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OScons (tptp.c_Datatype__Universe_Ontrunc V_k V_M T_a T_b) (tptp.c_Datatype__Universe_Ontrunc V_k V_N T_a T_b) T_a T_b))))
% 1.76/1.97  (assume a1208 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc tptp.c_0) (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) T_a T_b) tptp.c_emptyset)))
% 1.76/1.97  (assume a1209 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Datatype__Universe_Ontrunc (tptp.c_Suc tptp.c_0) (tptp.c_Datatype__Universe_OIn1 V_M T_a T_b) T_a T_b) tptp.c_emptyset)))
% 1.76/1.97  (assume a1210 (forall ((V_a $$unsorted)) (= (tptp.c_div V_a tptp.c_0 tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1211 (forall ((V_y $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_y tptp.c_0 tptp.tc_nat) V_y)))
% 1.76/1.97  (assume a1212 (forall ((V_m $$unsorted)) (= (tptp.c_div tptp.c_0 V_m tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1213 (forall ((V_y $$unsorted)) (= (tptp.c_div V_y (tptp.c_Suc tptp.c_0) tptp.tc_nat) V_y)))
% 1.76/1.97  (assume a1214 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_div V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.76/1.97  (assume a1215 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (= (tptp.c_div V_m V_n tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1216 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_m tptp.tc_nat)) (not (tptp.c_less tptp.c_1 V_n tptp.tc_nat)) (tptp.c_less (tptp.c_div V_m V_n tptp.tc_nat) V_m tptp.tc_nat))))
% 1.76/1.97  (assume a1217 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_c tptp.tc_nat)) (= (tptp.c_div (tptp.c_times V_c V_a tptp.tc_nat) (tptp.c_times V_c V_b tptp.tc_nat) tptp.tc_nat) (tptp.c_div V_a V_b tptp.tc_nat)))))
% 1.76/1.97  (assume a1218 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_c tptp.tc_nat)) (= (tptp.c_div (tptp.c_times V_a V_c tptp.tc_nat) (tptp.c_times V_b V_c tptp.tc_nat) tptp.tc_nat) (tptp.c_div V_a V_b tptp.tc_nat)))))
% 1.76/1.97  (assume a1219 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (= (tptp.c_div (tptp.c_plus V_m (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_plus V_k (tptp.c_div V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.76/1.97  (assume a1220 (forall ((V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (= (tptp.c_div (tptp.c_times V_n V_y tptp.tc_nat) V_n tptp.tc_nat) V_y))))
% 1.76/1.97  (assume a1221 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (= (tptp.c_div (tptp.c_plus V_m (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_plus V_k (tptp.c_div V_m V_n tptp.tc_nat) tptp.tc_nat)))))
% 1.76/1.97  (assume a1222 (forall ((V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (= (tptp.c_div (tptp.c_times V_y V_n tptp.tc_nat) V_n tptp.tc_nat) V_y))))
% 1.76/1.97  (assume a1223 (forall ((V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (= (tptp.c_div V_n V_n tptp.tc_nat) tptp.c_1))))
% 1.76/1.97  (assume a1224 (forall ((V_m $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd tptp.c_0 V_m tptp.tc_nat)) (= V_m tptp.c_0))))
% 1.76/1.97  (assume a1225 (tptp.c_Divides_Oop_Advd tptp.c_0 tptp.c_0 tptp.tc_nat))
% 1.76/1.97  (assume a1226 (forall ((V_m $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_m (tptp.c_Suc tptp.c_0) tptp.tc_nat)) (= V_m (tptp.c_Suc tptp.c_0)))))
% 1.76/1.97  (assume a1227 (tptp.c_Divides_Oop_Advd (tptp.c_Suc tptp.c_0) (tptp.c_Suc tptp.c_0) tptp.tc_nat))
% 1.76/1.97  (assume a1228 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_m V_m tptp.tc_nat)))
% 1.76/1.97  (assume a1229 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Oop_Amod tptp.c_0 V_m tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1230 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_m (tptp.c_Suc tptp.c_0) tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1231 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_plus V_n V_m tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1232 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_plus V_m V_n tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1233 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat) V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1234 (forall ((V_y $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less V_y V_n tptp.tc_nat)) (= (tptp.c_Divides_Oop_Amod V_y V_n tptp.tc_nat) V_y))))
% 1.76/1.97  (assume a1235 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_less (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat) V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1236 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_plus V_m (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1237 (forall ((V_n $$unsorted) (V_m $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_times V_n V_m tptp.tc_nat) V_n tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1238 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_plus V_m (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1239 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_times V_m V_n tptp.tc_nat) V_n tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1240 (forall ((V_n $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_n V_n tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1241 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_div (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat) V_n tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a1242 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Divides_Oop_Amod V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1243 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a))) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1244 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= tptp.c_emptyset (tptp.c_Equiv__Relations_Oquotient tptp.c_emptyset V_r T_a))))
% 1.76/1.97  (assume a1245 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) tptp.c_emptyset)) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1246 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Equiv__Relations_Oquotient tptp.c_emptyset V_r T_a) tptp.c_emptyset)))
% 1.76/1.97  (assume a1247 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Extraction_Osumbool_Osumbool__case V_y V_f2 tptp.c_Extraction_Osumbool_OLeft T_a) V_y)))
% 1.76/1.97  (assume a1248 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Extraction_Osumbool_Osumbool__case V_f1 V_y tptp.c_Extraction_Osumbool_ORight T_a) V_y)))
% 1.76/1.97  (assume a1249 (not (= tptp.c_Extraction_Osumbool_OLeft tptp.c_Extraction_Osumbool_ORight)))
% 1.76/1.97  (assume a1250 (not (= tptp.c_Extraction_Osumbool_ORight tptp.c_Extraction_Osumbool_OLeft)))
% 1.76/1.97  (assume a1251 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Extraction_Osumbool_Osumbool__rec V_y V_f2 tptp.c_Extraction_Osumbool_OLeft T_a) V_y)))
% 1.76/1.97  (assume a1252 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Extraction_Osumbool_Osumbool__rec V_f1 V_y tptp.c_Extraction_Osumbool_ORight T_a) V_y)))
% 1.76/1.97  (assume a1253 (= (tptp.c_Nat_Osize tptp.c_Extraction_Osumbool_OLeft tptp.tc_Extraction_Osumbool) tptp.c_0))
% 1.76/1.97  (assume a1254 (= (tptp.c_Nat_Osize tptp.c_Extraction_Osumbool_ORight tptp.tc_Extraction_Osumbool) tptp.c_0))
% 1.76/1.97  (assume a1255 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_lessequals V_x (tptp.c_Finite__Set_OMax V_A T_a) T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1256 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Finite__Set_OMax V_A T_a) V_A T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1257 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_b))) (= V_A tptp.c_emptyset) (= (tptp.c_Finite__Set_OMax (tptp.c_insert V_x V_A T_b) T_b) (tptp.c_Orderings_Omax V_x (tptp.c_Finite__Set_OMax V_A T_b) T_b)))))
% 1.76/1.97  (assume a1258 (forall ((T_a $$unsorted) (V_U $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_U V_A T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_lessequals (tptp.c_Finite__Set_OMax V_A T_a) V_x T_a)) (tptp.c_lessequals V_U V_x T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1259 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Main_OMax__le__iff__1 V_A V_x T_a) V_A T_a) (tptp.c_lessequals (tptp.c_Finite__Set_OMax V_A T_a) V_x T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1260 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_lessequals (tptp.c_Main_OMax__le__iff__1 V_A V_x T_a) V_x T_a)) (tptp.c_lessequals (tptp.c_Finite__Set_OMax V_A T_a) V_x T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1261 (forall ((T_a $$unsorted) (V_U $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_U V_A T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_less (tptp.c_Finite__Set_OMax V_A T_a) V_x T_a)) (tptp.c_less V_U V_x T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1262 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Main_OMax__less__iff__1 V_A V_x T_a) V_A T_a) (tptp.c_less (tptp.c_Finite__Set_OMax V_A T_a) V_x T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1263 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_less (tptp.c_Main_OMax__less__iff__1 V_A V_x T_a) V_x T_a)) (tptp.c_less (tptp.c_Finite__Set_OMax V_A T_a) V_x T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1264 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Finite__Set_OMax (tptp.c_insert V_y tptp.c_emptyset T_a) T_a) V_y))))
% 1.76/1.97  (assume a1265 (forall ((T_a $$unsorted) (V_U $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_U V_A T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_lessequals V_x (tptp.c_Finite__Set_OMin V_A T_a) T_a)) (tptp.c_lessequals V_x V_U T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1266 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Main_OMin__ge__iff__1 V_A V_x T_a) V_A T_a) (tptp.c_lessequals V_x (tptp.c_Finite__Set_OMin V_A T_a) T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1267 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_lessequals V_x (tptp.c_Main_OMin__ge__iff__1 V_A V_x T_a) T_a)) (tptp.c_lessequals V_x (tptp.c_Finite__Set_OMin V_A T_a) T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1268 (forall ((T_a $$unsorted) (V_U $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_U V_A T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_less V_x (tptp.c_Finite__Set_OMin V_A T_a) T_a)) (tptp.c_less V_x V_U T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1269 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Main_OMin__gr__iff__1 V_A V_x T_a) V_A T_a) (tptp.c_less V_x (tptp.c_Finite__Set_OMin V_A T_a) T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1270 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_less V_x (tptp.c_Main_OMin__gr__iff__1 V_A V_x T_a) T_a)) (tptp.c_less V_x (tptp.c_Finite__Set_OMin V_A T_a) T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1271 (forall ((T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Finite__Set_OMin V_A T_a) V_A T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1272 (forall ((T_b $$unsorted) (V_A $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_b))) (= V_A tptp.c_emptyset) (= (tptp.c_Finite__Set_OMin (tptp.c_insert V_x V_A T_b) T_b) (tptp.c_Orderings_Omin V_x (tptp.c_Finite__Set_OMin V_A T_b) T_b)))))
% 1.76/1.97  (assume a1273 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_Finite__Set_OMin V_A T_a) V_x T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1274 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_Finite__Set_OMin (tptp.c_insert V_y tptp.c_emptyset T_a) T_a) V_y))))
% 1.76/1.97  (assume a1275 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (= (tptp.c_Finite__Set_Ocard V_A T_a) tptp.c_0)) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1276 (forall ((T_a $$unsorted)) (or (not (tptp.c_in tptp.c_emptyset tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (= (tptp.c_Finite__Set_Ocard tptp.c_emptyset T_a) tptp.c_0))))
% 1.76/1.97  (assume a1277 (forall ((T_a $$unsorted)) (= (tptp.c_Finite__Set_Ocard tptp.c_emptyset T_a) tptp.c_0)))
% 1.76/1.97  (assume a1278 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)) (= (tptp.c_Finite__Set_Ocard V_A T_a) tptp.c_0))))
% 1.76/1.97  (assume a1279 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in V_x V_A T_a) (= (tptp.c_Finite__Set_Ocard (tptp.c_insert V_x V_A T_a) T_a) (tptp.c_Suc (tptp.c_Finite__Set_Ocard V_A T_a))))))
% 1.76/1.97  (assume a1280 (forall ((V_B $$unsorted) (T_a $$unsorted) (V_Ba $$unsorted)) (or (not (tptp.c_in V_B tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_minus V_B V_Ba (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1281 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_minus V_A (tptp.c_insert V_a V_B T_a) (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_minus V_A V_B (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1282 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_in (tptp.c_minus V_A V_B (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_minus V_A (tptp.c_insert V_a V_B T_a) (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1283 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Pow V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1284 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Pow V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a))))))
% 1.76/1.97  (assume a1285 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_union V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in V_F tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1286 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_union V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in V_G tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1287 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_F $$unsorted)) (or (not (tptp.c_in V_G tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_in V_F tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_union V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1288 (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Relation_Oconverse V_r T_b T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_a T_b)))) (tptp.c_in V_r tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_b T_a))))))
% 1.76/1.97  (assume a1289 (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_r tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_b T_a)))) (tptp.c_in (tptp.c_Relation_Oconverse V_r T_b T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_a T_b))))))
% 1.76/1.97  (assume a1290 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_insert V_a V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 1.76/1.97  (assume a1291 (forall ((T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_b))) (tptp.c_lessequals (tptp.c_Finite__Set_OMin V_A T_b) (tptp.c_Finite__Set_OMax V_A T_b) T_b) (= V_A tptp.c_emptyset))))
% 1.76/1.97  (assume a1292 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_in V_y V_A T_b)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_b))) (= V_A tptp.c_emptyset) (= (tptp.c_Orderings_Omin V_y (tptp.c_Finite__Set_OMax V_A T_b) T_b) V_y))))
% 1.76/1.97  (assume a1293 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_A $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_in V_y V_A T_b)) (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_b))) (= V_A tptp.c_emptyset) (= (tptp.c_Orderings_Omax V_y (tptp.c_Finite__Set_OMin V_A T_b) T_b) V_y))))
% 1.76/1.97  (assume a1294 (forall ((V_y $$unsorted)) (= (tptp.c_NatArith_Oof__nat V_y tptp.tc_nat) V_y)))
% 1.76/1.97  (assume a1295 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Oid V_y T_a) V_y)))
% 1.76/1.97  (assume a1296 (forall ((V_y $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair V_y tptp.c_0 tptp.tc_nat tptp.tc_nat)) V_y)))
% 1.76/1.97  (assume a1297 (forall ((V_y $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair tptp.c_0 V_y tptp.tc_nat tptp.tc_nat)) V_y)))
% 1.76/1.97  (assume a1298 (forall ((V_m $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair V_m (tptp.c_Suc tptp.c_0) tptp.tc_nat tptp.tc_nat)) tptp.c_1)))
% 1.76/1.97  (assume a1299 (forall ((V_m $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair (tptp.c_Suc tptp.c_0) V_m tptp.tc_nat tptp.tc_nat)) tptp.c_1)))
% 1.76/1.97  (assume a1300 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair (tptp.c_plus V_m V_n tptp.tc_nat) V_n tptp.tc_nat tptp.tc_nat)) (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)))))
% 1.76/1.97  (assume a1301 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair V_m (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat tptp.tc_nat)) (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)))))
% 1.76/1.97  (assume a1302 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair V_m (tptp.c_plus V_n V_m tptp.tc_nat) tptp.tc_nat tptp.tc_nat)) (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)))))
% 1.76/1.97  (assume a1303 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_k (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) tptp.tc_nat)) (tptp.c_Divides_Oop_Advd V_k V_m tptp.tc_nat))))
% 1.76/1.97  (assume a1304 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_k (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) tptp.tc_nat)) (tptp.c_Divides_Oop_Advd V_k V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1305 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_k V_n tptp.tc_nat)) (not (tptp.c_Divides_Oop_Advd V_k V_m tptp.tc_nat)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) tptp.tc_nat))))
% 1.76/1.97  (assume a1306 (forall ((V_y $$unsorted) (V_n $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair V_y (tptp.c_times V_y V_n tptp.tc_nat) tptp.tc_nat tptp.tc_nat)) V_y)))
% 1.76/1.97  (assume a1307 (forall ((V_y $$unsorted)) (= (tptp.c_GCD_Ogcd (tptp.c_Pair V_y V_y tptp.tc_nat tptp.tc_nat)) V_y)))
% 1.76/1.97  (assume a1308 (not (tptp.c_in tptp.c_UNIV tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 1.76/1.97  (assume a1309 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) T_a) tptp.c_1))))
% 1.76/1.97  (assume a1310 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs (tptp.c_Nat_Opower (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) V_n T_a) T_a) tptp.c_1))))
% 1.76/1.97  (assume a1311 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_y T_a) T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add tptp.c_Numeral_OPls (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a))))
% 1.76/1.97  (assume a1312 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add tptp.c_Numeral_OPls (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_y T_a) T_a))))
% 1.76/1.97  (assume a1313 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_1 (tptp.c_Numeral_Onumber__of V_y T_a) T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a))))
% 1.76/1.97  (assume a1314 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a)) (tptp.c_less tptp.c_1 (tptp.c_Numeral_Onumber__of V_y T_a) T_a))))
% 1.76/1.97  (assume a1315 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0 T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OPls)) T_a) T_a))))
% 1.76/1.97  (assume a1316 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OPls)) T_a) T_a)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0 T_a))))
% 1.76/1.97  (assume a1317 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_1 T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1))) T_a) T_a))))
% 1.76/1.97  (assume a1318 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1))) T_a) T_a)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_1 T_a))))
% 1.76/1.97  (assume a1319 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_y (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OPls)) T_a) T_a)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_y T_a) T_a)))))
% 1.76/1.97  (assume a1320 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_y (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OPls)) T_a) T_a) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_y T_a) T_a))))
% 1.76/1.97  (assume a1321 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_y (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1))) T_a) T_a)) (not (tptp.c_lessequals tptp.c_1 (tptp.c_Numeral_Onumber__of V_y T_a) T_a)))))
% 1.76/1.97  (assume a1322 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_y (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1))) T_a) T_a) (tptp.c_lessequals tptp.c_1 (tptp.c_Numeral_Onumber__of V_y T_a) T_a))))
% 1.76/1.97  (assume a1323 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add tptp.c_Numeral_OPls (tptp.c_Numeral_Obin__minus V_x)) T_a) T_a)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0 T_a)))))
% 1.76/1.97  (assume a1324 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add tptp.c_Numeral_OPls (tptp.c_Numeral_Obin__minus V_x)) T_a) T_a) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0 T_a))))
% 1.76/1.97  (assume a1325 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_Obin__minus V_x)) T_a) T_a)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_1 T_a)))))
% 1.76/1.97  (assume a1326 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_Obin__minus V_x)) T_a) T_a) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_1 T_a))))
% 1.76/1.97  (assume a1327 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_plus tptp.c_1 tptp.c_1 T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) T_a)))))
% 1.76/1.97  (assume a1328 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_plus tptp.c_1 (tptp.c_Numeral_Onumber__of V_w T_a) T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) V_w) T_a)))))
% 1.76/1.97  (assume a1329 (forall ((T_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v T_a) tptp.c_1 T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1)) T_a)))))
% 1.76/1.97  (assume a1330 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_minus tptp.c_1 (tptp.c_Numeral_Onumber__of V_w T_a) T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_Obin__minus V_w)) T_a)))))
% 1.76/1.97  (assume a1331 (forall ((T_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_minus (tptp.c_Numeral_Onumber__of V_v T_a) tptp.c_1 T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1))) T_a)))))
% 1.76/1.97  (assume a1332 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (= tptp.c_0 (tptp.c_Numeral_Onumber__of V_y T_a))) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add tptp.c_Numeral_OPls (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a))))
% 1.76/1.97  (assume a1333 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add tptp.c_Numeral_OPls (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a)) (= tptp.c_0 (tptp.c_Numeral_Onumber__of V_y T_a)))))
% 1.76/1.97  (assume a1334 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (= tptp.c_1 (tptp.c_Numeral_Onumber__of V_y T_a))) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a))))
% 1.76/1.97  (assume a1335 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a)) (= tptp.c_1 (tptp.c_Numeral_Onumber__of V_y T_a)))))
% 1.76/1.97  (assume a1336 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (= (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0)) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OPls)) T_a) T_a))))
% 1.76/1.97  (assume a1337 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OPls)) T_a) T_a)) (= (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0))))
% 1.76/1.97  (assume a1338 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (= (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_1)) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1))) T_a) T_a))))
% 1.76/1.97  (assume a1339 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1))) T_a) T_a)) (= (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_1))))
% 1.76/1.97  (assume a1340 (forall ((V_m $$unsorted) (V_v $$unsorted)) (or (not (= (tptp.c_IntDef_Oint V_m) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint))) (= V_m (tptp.c_IntDef_Onat (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint))))))
% 1.76/1.97  (assume a1341 (forall ((V_m $$unsorted) (V_v $$unsorted)) (or (not (= (tptp.c_IntDef_Oint V_m) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint))) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1342 (forall ((V_v $$unsorted)) (or (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_IntDef_Oint (tptp.c_IntDef_Onat (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint))) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1343 (= (tptp.c_IntDef_Onat tptp.c_1) (tptp.c_Suc tptp.c_0)))
% 1.76/1.97  (assume a1344 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_IntDef_Oof__int (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin tptp.tc_IntDef_Oint) T_a) (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a)))))
% 1.76/1.97  (assume a1345 (forall ((V_z $$unsorted)) (or (not (tptp.c_less (tptp.c_Suc tptp.c_0) (tptp.c_IntDef_Onat V_z) tptp.tc_nat)) (tptp.c_less tptp.c_1 V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1346 (forall ((V_z $$unsorted)) (or (not (tptp.c_less tptp.c_1 V_z tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_Suc tptp.c_0) (tptp.c_IntDef_Onat V_z) tptp.tc_nat))))
% 1.76/1.97  (assume a1347 (forall ((V_z $$unsorted) (V_w $$unsorted)) (= (tptp.c_plus V_z (tptp.c_uminus V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_minus V_z V_w tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1348 (forall ((V_z $$unsorted)) (or (not (tptp.c_less (tptp.c_HOL_Oabs V_z tptp.tc_IntDef_Oint) tptp.c_1 tptp.tc_IntDef_Oint)) (= V_z tptp.c_0))))
% 1.76/1.97  (assume a1349 (tptp.c_less (tptp.c_HOL_Oabs tptp.c_0 tptp.tc_IntDef_Oint) tptp.c_1 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a1350 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_less V_w (tptp.c_plus V_z tptp.c_1 tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_lessequals V_w V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1351 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_lessequals V_w V_z tptp.tc_IntDef_Oint)) (tptp.c_less V_w (tptp.c_plus V_z tptp.c_1 tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1352 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_lessequals V_w (tptp.c_minus V_z tptp.c_1 tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_less V_w V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1353 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_less V_w V_z tptp.tc_IntDef_Oint)) (tptp.c_lessequals V_w (tptp.c_minus V_z tptp.c_1 tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1354 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in V_y tptp.c_IntDef_OInteg (tptp.tc_set (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))) (not (tptp.c_in V_x tptp.c_IntDef_OInteg (tptp.tc_set (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))) (not (= (tptp.c_IntDef_OAbs__Integ V_x) (tptp.c_IntDef_OAbs__Integ V_y))) (= V_x V_y))))
% 1.76/1.97  (assume a1355 (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_IntDef_OInteg (tptp.tc_set (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))) (= (tptp.c_IntDef_ORep__Integ (tptp.c_IntDef_OAbs__Integ V_y)) V_y))))
% 1.76/1.97  (assume a1356 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_in tptp.c_0 tptp.c_IntDef_OInts T_a))))
% 1.76/1.97  (assume a1357 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_in tptp.c_1 tptp.c_IntDef_OInts T_a))))
% 1.76/1.97  (assume a1358 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (not (tptp.c_in V_b tptp.c_IntDef_OInts T_a)) (not (tptp.c_in V_a tptp.c_IntDef_OInts T_a)) (tptp.c_in (tptp.c_plus V_a V_b T_a) tptp.c_IntDef_OInts T_a))))
% 1.76/1.97  (assume a1359 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (not (tptp.c_in V_b tptp.c_IntDef_OInts T_a)) (not (tptp.c_in V_a tptp.c_IntDef_OInts T_a)) (tptp.c_in (tptp.c_minus V_a V_b T_a) tptp.c_IntDef_OInts T_a))))
% 1.76/1.97  (assume a1360 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (not (tptp.c_in V_a tptp.c_IntDef_OInts T_a)) (tptp.c_in (tptp.c_uminus V_a T_a) tptp.c_IntDef_OInts T_a))))
% 1.76/1.97  (assume a1361 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (not (tptp.c_in V_b tptp.c_IntDef_OInts T_a)) (not (tptp.c_in V_a tptp.c_IntDef_OInts T_a)) (tptp.c_in (tptp.c_times V_a V_b T_a) tptp.c_IntDef_OInts T_a))))
% 1.76/1.97  (assume a1362 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (tptp.c_in tptp.c_0 tptp.c_IntDef_ONats T_a))))
% 1.76/1.97  (assume a1363 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (tptp.c_in tptp.c_1 tptp.c_IntDef_ONats T_a))))
% 1.76/1.97  (assume a1364 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (not (tptp.c_in V_b tptp.c_IntDef_ONats T_a)) (not (tptp.c_in V_a tptp.c_IntDef_ONats T_a)) (tptp.c_in (tptp.c_plus V_a V_b T_a) tptp.c_IntDef_ONats T_a))))
% 1.76/1.97  (assume a1365 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (not (tptp.c_in V_b tptp.c_IntDef_ONats T_a)) (not (tptp.c_in V_a tptp.c_IntDef_ONats T_a)) (tptp.c_in (tptp.c_times V_a V_b T_a) tptp.c_IntDef_ONats T_a))))
% 1.76/1.97  (assume a1366 (forall ((V_m $$unsorted)) (= (tptp.c_HOL_Oabs (tptp.c_IntDef_Oint V_m) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint V_m))))
% 1.76/1.97  (assume a1367 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Relation_OImage tptp.c_IntDef_Ointrel (tptp.c_insert V_x tptp.c_emptyset (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) (tptp.c_Relation_OImage tptp.c_IntDef_Ointrel (tptp.c_insert V_y tptp.c_emptyset (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))) (tptp.c_in (tptp.c_Pair V_x V_y (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) tptp.c_IntDef_Ointrel (tptp.tc_prod (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat))))))
% 1.76/1.97  (assume a1368 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) tptp.c_IntDef_Ointrel (tptp.tc_prod (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))) (= (tptp.c_Relation_OImage tptp.c_IntDef_Ointrel (tptp.c_insert V_x tptp.c_emptyset (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) (tptp.c_Relation_OImage tptp.c_IntDef_Ointrel (tptp.c_insert V_y tptp.c_emptyset (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat))))))
% 1.76/1.97  (assume a1369 (not (= tptp.c_0 tptp.c_1)))
% 1.76/1.97  (assume a1370 (= (tptp.c_IntDef_Oint tptp.c_1) tptp.c_1))
% 1.76/1.97  (assume a1371 (forall ((V_m $$unsorted)) (= (tptp.c_IntDef_Oint (tptp.c_Suc V_m)) (tptp.c_plus tptp.c_1 (tptp.c_IntDef_Oint V_m) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1372 (forall ((V_n $$unsorted)) (or (not (= (tptp.c_IntDef_Oint V_n) tptp.c_0)) (= V_n tptp.c_0))))
% 1.76/1.97  (assume a1373 (= (tptp.c_IntDef_Oint tptp.c_0) tptp.c_0))
% 1.76/1.97  (assume a1374 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_IntDef_Oint V_m) (tptp.c_IntDef_Oint V_n))) (= V_m V_n))))
% 1.76/1.97  (assume a1375 (forall ((V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_IntDef_Oint V_n) tptp.c_0 tptp.tc_IntDef_Oint)) (= V_n tptp.c_0))))
% 1.76/1.97  (assume a1376 (tptp.c_lessequals (tptp.c_IntDef_Oint tptp.c_0) tptp.c_0 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a1377 (forall ((V_k $$unsorted)) (not (tptp.c_less (tptp.c_IntDef_Oint V_k) tptp.c_0 tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1378 (forall ((V_z $$unsorted)) (or (not (tptp.c_lessequals tptp.c_0 V_z tptp.tc_IntDef_Oint)) (= (tptp.c_IntDef_Oint (tptp.c_IntDef_Onat V_z)) V_z))))
% 1.76/1.97  (assume a1379 (forall ((V_z $$unsorted)) (or (tptp.c_lessequals tptp.c_0 V_z tptp.tc_IntDef_Oint) (= (tptp.c_IntDef_Oint (tptp.c_IntDef_Onat V_z)) tptp.c_0))))
% 1.76/1.97  (assume a1380 (forall ((V_x $$unsorted) (V_y $$unsorted)) (tptp.c_in (tptp.c_Relation_OImage tptp.c_IntDef_Ointrel (tptp.c_insert (tptp.c_Pair V_x V_y tptp.tc_nat tptp.tc_nat) tptp.c_emptyset (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) tptp.c_IntDef_OInteg (tptp.tc_set (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))))
% 1.76/1.97  (assume a1381 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_u $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_x V_y tptp.tc_nat tptp.tc_nat) (tptp.c_Pair V_u V_v tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) tptp.c_IntDef_Ointrel (tptp.tc_prod (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))) (= (tptp.c_plus V_x V_v tptp.tc_nat) (tptp.c_plus V_u V_y tptp.tc_nat)))))
% 1.76/1.97  (assume a1382 (forall ((V_x $$unsorted) (V_v $$unsorted) (V_u $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_plus V_x V_v tptp.tc_nat) (tptp.c_plus V_u V_y tptp.tc_nat))) (tptp.c_in (tptp.c_Pair (tptp.c_Pair V_x V_y tptp.tc_nat tptp.tc_nat) (tptp.c_Pair V_u V_v tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) tptp.c_IntDef_Ointrel (tptp.tc_prod (tptp.tc_prod tptp.tc_nat tptp.tc_nat) (tptp.tc_prod tptp.tc_nat tptp.tc_nat))))))
% 1.76/1.97  (assume a1383 (forall ((V_y $$unsorted)) (= (tptp.c_IntDef_Onat (tptp.c_IntDef_Oint V_y)) V_y)))
% 1.76/1.97  (assume a1384 (forall ((V_z $$unsorted)) (or (not (tptp.c_lessequals V_z tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_IntDef_Onat V_z) tptp.c_0))))
% 1.76/1.97  (assume a1385 (= (tptp.c_IntDef_Onat tptp.c_0) tptp.c_0))
% 1.76/1.97  (assume a1386 (forall ((V_n $$unsorted)) (= (tptp.c_IntDef_Onat (tptp.c_uminus (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint)) tptp.c_0)))
% 1.76/1.97  (assume a1387 (forall ((V_n $$unsorted)) (tptp.c_IntDef_Oneg (tptp.c_uminus (tptp.c_IntDef_Oint (tptp.c_Suc V_n)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a1388 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_uminus (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint V_m))) (= V_n tptp.c_0))))
% 1.76/1.97  (assume a1389 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (= (tptp.c_uminus (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint V_m))) (= V_m tptp.c_0))))
% 1.76/1.97  (assume a1390 (= (tptp.c_uminus (tptp.c_IntDef_Oint tptp.c_0) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint tptp.c_0)))
% 1.76/1.97  (assume a1391 (forall ((V_n $$unsorted) (V_m $$unsorted)) (not (tptp.c_less (tptp.c_IntDef_Oint V_n) (tptp.c_uminus (tptp.c_IntDef_Oint V_m) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1392 (forall ((V_n $$unsorted)) (not (tptp.c_IntDef_Oneg (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1393 (forall ((V_n $$unsorted)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_uminus (tptp.c_IntDef_Oint (tptp.c_Suc V_n)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1394 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= tptp.c_0 (tptp.c_IntDef_Oof__int V_z T_a))) (= tptp.c_0 V_z))))
% 1.76/1.97  (assume a1395 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= tptp.c_0 (tptp.c_IntDef_Oof__int tptp.c_0 T_a)))))
% 1.76/1.97  (assume a1396 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_IntDef_Oof__int V_z T_a) T_a)) (tptp.c_lessequals tptp.c_0 V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1397 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals tptp.c_0 V_z tptp.tc_IntDef_Oint)) (tptp.c_lessequals tptp.c_0 (tptp.c_IntDef_Oof__int V_z T_a) T_a))))
% 1.76/1.97  (assume a1398 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_IntDef_Oof__int V_z T_a) T_a)) (tptp.c_less tptp.c_0 V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1399 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 V_z tptp.tc_IntDef_Oint)) (tptp.c_less tptp.c_0 (tptp.c_IntDef_Oof__int V_z T_a) T_a))))
% 1.76/1.97  (assume a1400 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_IntDef_Oof__int tptp.c_1 T_a) tptp.c_1))))
% 1.76/1.97  (assume a1401 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_IntDef_Oof__int (tptp.c_plus V_w V_z tptp.tc_IntDef_Oint) T_a) (tptp.c_plus (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a) T_a)))))
% 1.76/1.97  (assume a1402 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_IntDef_Oof__int (tptp.c_minus V_w V_z tptp.tc_IntDef_Oint) T_a) (tptp.c_minus (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a) T_a)))))
% 1.76/1.97  (assume a1403 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_IntDef_Oof__int V_w T_a) tptp.c_0)) (= V_w tptp.c_0))))
% 1.76/1.97  (assume a1404 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_IntDef_Oof__int tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.97  (assume a1405 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a))) (= V_w V_z))))
% 1.76/1.97  (assume a1406 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_IntDef_Oof__int (tptp.c_IntDef_Oint V_n) T_a) (tptp.c_NatArith_Oof__nat V_n T_a)))))
% 1.76/1.97  (assume a1407 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.c_IntDef_Oof__int V_w T_a) tptp.c_0 T_a)) (tptp.c_lessequals V_w tptp.c_0 tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1408 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals V_w tptp.c_0 tptp.tc_IntDef_Oint)) (tptp.c_lessequals (tptp.c_IntDef_Oof__int V_w T_a) tptp.c_0 T_a))))
% 1.76/1.97  (assume a1409 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a) T_a)) (tptp.c_lessequals V_w V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1410 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals V_w V_z tptp.tc_IntDef_Oint)) (tptp.c_lessequals (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a) T_a))))
% 1.76/1.97  (assume a1411 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less (tptp.c_IntDef_Oof__int V_w T_a) tptp.c_0 T_a)) (tptp.c_less V_w tptp.c_0 tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1412 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less V_w tptp.c_0 tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_IntDef_Oof__int V_w T_a) tptp.c_0 T_a))))
% 1.76/1.97  (assume a1413 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a) T_a)) (tptp.c_less V_w V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1414 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less V_w V_z tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a) T_a))))
% 1.76/1.97  (assume a1415 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_IntDef_Oof__int (tptp.c_uminus V_z tptp.tc_IntDef_Oint) T_a) (tptp.c_uminus (tptp.c_IntDef_Oof__int V_z T_a) T_a)))))
% 1.76/1.97  (assume a1416 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_IntDef_Oof__int (tptp.c_times V_w V_z tptp.tc_IntDef_Oint) T_a) (tptp.c_times (tptp.c_IntDef_Oof__int V_w T_a) (tptp.c_IntDef_Oof__int V_z T_a) T_a)))))
% 1.76/1.97  (assume a1417 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_IntDef_Oof__int (tptp.c_NatArith_Oof__nat V_n tptp.tc_IntDef_Oint) T_a) (tptp.c_NatArith_Oof__nat V_n T_a)))))
% 1.76/1.97  (assume a1418 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (tptp.c_in (tptp.c_NatArith_Oof__nat V_n T_a) tptp.c_IntDef_ONats T_a))))
% 1.76/1.97  (assume a1419 (forall ((V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint)) (tptp.c_less tptp.c_0 V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1420 (forall ((V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1421 (forall ((V_z $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_IntDef_Onat V_z) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1422 (forall ((V_z $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_z tptp.tc_IntDef_Oint)) (tptp.c_less tptp.c_0 (tptp.c_IntDef_Onat V_z) tptp.tc_nat))))
% 1.76/1.97  (assume a1423 (forall ((V_n $$unsorted)) (tptp.c_lessequals tptp.c_0 (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a1424 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_IntDef_Oint V_m) (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint)) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1425 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (tptp.c_lessequals (tptp.c_IntDef_Oint V_m) (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1426 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_IntDef_Oint V_m) (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1427 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (tptp.c_less (tptp.c_IntDef_Oint V_m) (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1428 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_less (tptp.c_IntDef_Onat V_w) (tptp.c_IntDef_Onat V_z) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1429 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_less (tptp.c_IntDef_Onat V_w) (tptp.c_IntDef_Onat V_z) tptp.tc_nat)) (tptp.c_less V_w V_z tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1430 (forall ((V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_less V_w V_z tptp.tc_IntDef_Oint)) (not (tptp.c_less tptp.c_0 V_z tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_IntDef_Onat V_w) (tptp.c_IntDef_Onat V_z) tptp.tc_nat))))
% 1.76/1.97  (assume a1431 (forall ((V_y $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_y tptp.c_0 tptp.tc_IntDef_Oint) V_y)))
% 1.76/1.97  (assume a1432 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_fst (tptp.c_IntDiv_OnegateSnd (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1433 (forall ((V_w $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_fst (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1434 (forall ((V_w $$unsorted)) (or (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_div tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_fst (tptp.c_IntDiv_OnegateSnd (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_uminus tptp.c_1 tptp.tc_IntDef_Oint) (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1435 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_fst (tptp.c_IntDiv_OnegateSnd (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1436 (forall ((V_w $$unsorted)) (or (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_div tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_fst (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1437 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_fst (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1438 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_z (tptp.c_uminus V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1439 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd V_z (tptp.c_uminus V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1440 (forall ((V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_div (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1441 (forall ((V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint) (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1442 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_snd (tptp.c_IntDiv_OnegateSnd (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1443 (forall ((V_w $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_snd (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1444 (forall ((V_w $$unsorted)) (or (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_snd (tptp.c_IntDiv_OnegateSnd (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_uminus tptp.c_1 tptp.tc_IntDef_Oint) (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1445 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_snd (tptp.c_IntDiv_OnegateSnd (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1446 (forall ((V_w $$unsorted)) (or (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_snd (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1447 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_snd (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1448 (forall ((V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_plus tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_Pair (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin tptp.tc_IntDef_Oint) (tptp.c_plus tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1449 (forall ((V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_lessequals tptp.c_0 (tptp.c_plus tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_IntDiv_Oadjust (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))))
% 1.76/1.97  (assume a1450 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_plus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_Pair (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin tptp.tc_IntDef_Oint) (tptp.c_plus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1451 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_lessequals tptp.c_0 (tptp.c_plus (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_IntDiv_Oadjust (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))))
% 1.76/1.97  (assume a1452 (forall ((V_b $$unsorted)) (= (tptp.c_IntDiv_OnegDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_Pair (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin tptp.tc_IntDef_Oint) (tptp.c_minus V_b tptp.c_1 tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1453 (forall ((V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_less V_b tptp.c_0 tptp.tc_IntDef_Oint)) (tptp.c_less V_b (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1454 (forall ((V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_less V_b tptp.c_0 tptp.tc_IntDef_Oint)) (tptp.c_lessequals (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1455 (forall ((V_q $$unsorted) (V_r $$unsorted)) (= (tptp.c_IntDiv_OnegateSnd (tptp.c_Pair V_q V_r tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_Pair V_q (tptp.c_uminus V_r tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1456 (forall ((V_b $$unsorted)) (= (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair tptp.c_0 V_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_Pair tptp.c_0 tptp.c_0 tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1457 (forall ((V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_less tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_Pair tptp.c_0 tptp.c_1 tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1458 (forall ((V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_less tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_IntDiv_Oadjust (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair tptp.c_1 (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))))
% 1.76/1.97  (assume a1459 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_Pair tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1460 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)) (tptp.c_IntDiv_Oadjust (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_IntDiv_OposDivAlg (tptp.c_Pair (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint)))))))
% 1.76/1.97  (assume a1461 (forall ((V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_b tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1462 (forall ((V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_b tptp.tc_IntDef_Oint)) (tptp.c_lessequals tptp.c_0 (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1463 (forall ((V_p $$unsorted)) (= (tptp.c_Nat_Opower V_p tptp.c_0 tptp.tc_IntDef_Oint) tptp.c_1)))
% 1.76/1.97  (assume a1464 (forall ((V_p $$unsorted) (V_n $$unsorted)) (= (tptp.c_Nat_Opower V_p (tptp.c_Suc V_n) tptp.tc_IntDef_Oint) (tptp.c_times V_p (tptp.c_Nat_Opower V_p V_n tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1465 (forall ((V_y $$unsorted)) (= (tptp.c_div V_y tptp.c_1 tptp.tc_IntDef_Oint) V_y)))
% 1.76/1.97  (assume a1466 (forall ((V_a $$unsorted)) (= (tptp.c_div V_a (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_uminus V_a tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1467 (forall ((V_v $$unsorted) (V_w $$unsorted)) (= (tptp.c_div (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_v tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1468 (forall ((V_w $$unsorted) (V_v $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_div (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_v V_b) tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1469 (forall ((V_w $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= V_b tptp.c_Numeral_Obit_OB0) (= (tptp.c_div (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_v V_b) tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_div (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.c_1 tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1470 (forall ((V_a $$unsorted)) (or (= V_a tptp.c_0) (= (tptp.c_div V_a V_a tptp.tc_IntDef_Oint) tptp.c_1))))
% 1.76/1.97  (assume a1471 (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (= V_a tptp.c_0) (= (tptp.c_div (tptp.c_plus V_a V_b tptp.tc_IntDef_Oint) V_a tptp.tc_IntDef_Oint) (tptp.c_plus (tptp.c_div V_b V_a tptp.tc_IntDef_Oint) tptp.c_1 tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1472 (forall ((V_a $$unsorted) (V_b $$unsorted)) (or (= V_a tptp.c_0) (= (tptp.c_div (tptp.c_plus V_b V_a tptp.tc_IntDef_Oint) V_a tptp.tc_IntDef_Oint) (tptp.c_plus (tptp.c_div V_b V_a tptp.tc_IntDef_Oint) tptp.c_1 tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1473 (forall ((V_b $$unsorted)) (= (tptp.c_div tptp.c_0 V_b tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1474 (forall ((V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_div (tptp.c_uminus V_a tptp.tc_IntDef_Oint) (tptp.c_uminus V_b tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_div V_a V_b tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1475 (forall ((V_b $$unsorted) (V_y $$unsorted)) (or (= V_b tptp.c_0) (= (tptp.c_div (tptp.c_times V_y V_b tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint) V_y))))
% 1.76/1.97  (assume a1476 (forall ((V_b $$unsorted) (V_y $$unsorted)) (or (= V_b tptp.c_0) (= (tptp.c_div (tptp.c_times V_b V_y tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint) V_y))))
% 1.76/1.97  (assume a1477 (forall ((V_m $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd tptp.c_0 V_m tptp.tc_IntDef_Oint)) (= V_m tptp.c_0))))
% 1.76/1.97  (assume a1478 (tptp.c_Divides_Oop_Advd tptp.c_0 tptp.c_0 tptp.tc_IntDef_Oint))
% 1.76/1.97  (assume a1479 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd (tptp.c_Numeral_Onumber__of V_x tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_y tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_x tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_0))))
% 1.76/1.97  (assume a1480 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_y tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_x tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_0)) (tptp.c_Divides_Oop_Advd (tptp.c_Numeral_Onumber__of V_x tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1481 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_m V_m tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a1482 (forall ((V_x $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs V_x tptp.tc_IntDef_Oint) V_n tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a1483 (forall ((V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs tptp.c_0 tptp.tc_IntDef_Oint) V_n tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= V_n tptp.c_0))))
% 1.76/1.97  (assume a1484 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs V_x tptp.tc_IntDef_Oint) V_n tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= V_x tptp.c_0))))
% 1.76/1.97  (assume a1485 (forall ((V_x $$unsorted)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs V_x tptp.tc_IntDef_Oint) tptp.c_0 tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))
% 1.76/1.97  (assume a1486 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd (tptp.c_uminus V_z tptp.tc_IntDef_Oint) V_w tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1487 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd (tptp.c_uminus V_z tptp.tc_IntDef_Oint) V_w tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1488 (forall ((V_a $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_a tptp.c_1 tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1489 (forall ((V_a $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_a (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1490 (forall ((V_a $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_a V_a tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1491 (forall ((V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_plus V_a V_b tptp.tc_IntDef_Oint) V_a tptp.tc_IntDef_Oint) (tptp.c_Divides_Oop_Amod V_b V_a tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1492 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_plus V_b V_a tptp.tc_IntDef_Oint) V_a tptp.tc_IntDef_Oint) (tptp.c_Divides_Oop_Amod V_b V_a tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1493 (forall ((V_b $$unsorted)) (= (tptp.c_Divides_Oop_Amod tptp.c_0 V_b tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1494 (forall ((V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_uminus V_a tptp.tc_IntDef_Oint) (tptp.c_uminus V_b tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_uminus (tptp.c_Divides_Oop_Amod V_a V_b tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1495 (forall ((V_a $$unsorted) (V_b $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_times V_a V_b tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1496 (forall ((V_b $$unsorted) (V_a $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_times V_b V_a tptp.tc_IntDef_Oint) V_b tptp.tc_IntDef_Oint) tptp.c_0)))
% 1.76/1.97  (assume a1497 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T_a)) (= (tptp.c_LOrder_Ojoin V_y V_y T_a) V_y))))
% 1.76/1.97  (assume a1498 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_LOrder_Omeet__semilorder T_a)) (= (tptp.c_LOrder_Omeet V_y V_y T_a) V_y))))
% 1.76/1.97  (assume a1499 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a)) (= V_x V_y))))
% 1.76/1.97  (assume a1500 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a)) (tptp.c_in (tptp.c_Pair V_xs V_ys (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1501 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_x V_y) (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1502 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_xs V_ys (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))) (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1503 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) V_r (tptp.tc_prod T_a T_a))) (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1504 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs V_ys (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_x V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1505 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (not (tptp.c_in (tptp.c_Pair V_xs tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1506 (forall ((V_U $$unsorted) (V_xss $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_U (tptp.c_List_Oset V_xss (tptp.tc_List_Olist T_a)) (tptp.tc_List_Olist T_a))) (not (= tptp.c_List_Olist_ONil (tptp.c_List_Oconcat V_xss T_a))) (= V_U tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1507 (forall ((V_xss $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_ONil__eq__concat__conv__1 V_xss T_a) (tptp.c_List_Oset V_xss (tptp.tc_List_Olist T_a)) (tptp.tc_List_Olist T_a)) (= tptp.c_List_Olist_ONil (tptp.c_List_Oconcat V_xss T_a)))))
% 1.76/1.97  (assume a1508 (forall ((V_xss $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Main_ONil__eq__concat__conv__1 V_xss T_a) tptp.c_List_Olist_ONil)) (= tptp.c_List_Olist_ONil (tptp.c_List_Oconcat V_xss T_a)))))
% 1.76/1.97  (assume a1509 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_List_Olist_ONil (tptp.c_append V_xs V_ys T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1510 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_List_Olist_ONil (tptp.c_append V_xs V_ys T_a))) (= V_ys tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1511 (forall ((T_a $$unsorted)) (= tptp.c_List_Olist_ONil (tptp.c_append tptp.c_List_Olist_ONil tptp.c_List_Olist_ONil T_a))))
% 1.76/1.97  (assume a1512 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_List_Olist_ONil (tptp.c_List_Orev V_xs T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1513 (forall ((T_a $$unsorted)) (= tptp.c_List_Olist_ONil (tptp.c_List_Orev tptp.c_List_Olist_ONil T_a))))
% 1.76/1.97  (assume a1514 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (not (tptp.c_in (tptp.c_Pair tptp.c_List_Olist_ONil V_ys (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1515 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_append V_ys (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a))) (= V_xs V_ys))))
% 1.76/1.97  (assume a1516 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_append V_ys (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a))) (= V_x V_y))))
% 1.76/1.97  (assume a1517 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_append (tptp.c_append V_xs V_ys T_a) V_zs T_a) (tptp.c_append V_xs (tptp.c_append V_ys V_zs T_a) T_a))))
% 1.76/1.97  (assume a1518 (forall ((V_y $$unsorted) (T_a $$unsorted)) (or (= V_y tptp.c_List_Olist_ONil) (= (tptp.c_append (tptp.c_List_Obutlast V_y T_a) (tptp.c_List_Olist_OCons (tptp.c_List_Olast V_y T_a) tptp.c_List_Olist_ONil T_a) T_a) V_y))))
% 1.76/1.97  (assume a1519 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_a)))) (not (= (tptp.c_append V_xs V_us T_a) (tptp.c_append V_ys V_vs T_a))) (= V_xs V_ys))))
% 1.76/1.97  (assume a1520 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_a)))) (not (= (tptp.c_append V_xs V_us T_a) (tptp.c_append V_ys V_vs T_a))) (= V_us V_vs))))
% 1.76/1.97  (assume a1521 (forall ((V_us $$unsorted) (T_a $$unsorted) (V_vs $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_us (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_vs (tptp.tc_List_Olist T_a)))) (not (= (tptp.c_append V_xs V_us T_a) (tptp.c_append V_ys V_vs T_a))) (= V_xs V_ys))))
% 1.76/1.97  (assume a1522 (forall ((V_us $$unsorted) (T_a $$unsorted) (V_vs $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_us (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_vs (tptp.tc_List_Olist T_a)))) (not (= (tptp.c_append V_xs V_us T_a) (tptp.c_append V_ys V_vs T_a))) (= V_us V_vs))))
% 1.76/1.97  (assume a1523 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_append V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1524 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_append V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_ys (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1525 (forall ((V_ys $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.c_in V_ys (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (not (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in (tptp.c_append V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1526 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) tptp.c_List_Olist_ONil)) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1527 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) tptp.c_List_Olist_ONil)) (= V_ys tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1528 (forall ((T_a $$unsorted)) (= (tptp.c_append tptp.c_List_Olist_ONil tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1529 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_append V_ys V_xs T_a) (tptp.c_append V_zs V_xs T_a))) (= V_ys V_zs))))
% 1.76/1.97  (assume a1530 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) V_ys)) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1531 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_append tptp.c_List_Olist_ONil V_ys T_a) V_ys)))
% 1.76/1.97  (assume a1532 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) V_xs)) (= V_ys tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1533 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_append V_xs tptp.c_List_Olist_ONil T_a) V_xs)))
% 1.76/1.97  (assume a1534 (forall ((V_n $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_append (tptp.c_List_Otake V_n V_y T_a) (tptp.c_List_Odrop V_n V_y T_a) T_a) V_y)))
% 1.76/1.97  (assume a1535 (forall ((T_a__1 $$unsorted)) (= (tptp.c_List_Obutlast tptp.c_List_Olist_ONil T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1536 (forall ((V_x $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a__1) T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1537 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a__1 $$unsorted)) (or (= V_xs tptp.c_List_Olist_ONil) (= (tptp.c_List_Obutlast (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Obutlast V_xs T_a__1) T_a__1)))))
% 1.76/1.97  (assume a1538 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_append V_y (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a) T_a) V_y)))
% 1.76/1.97  (assume a1539 (forall ((V_nibble1 $$unsorted) (V_nibble2 $$unsorted) (V_nibble1_H $$unsorted) (V_nibble2_H $$unsorted)) (or (not (= (tptp.c_List_Ochar_OChar V_nibble1 V_nibble2) (tptp.c_List_Ochar_OChar V_nibble1_H V_nibble2_H))) (= V_nibble1 V_nibble1_H))))
% 1.76/1.97  (assume a1540 (forall ((V_nibble1 $$unsorted) (V_nibble2 $$unsorted) (V_nibble1_H $$unsorted) (V_nibble2_H $$unsorted)) (or (not (= (tptp.c_List_Ochar_OChar V_nibble1 V_nibble2) (tptp.c_List_Ochar_OChar V_nibble1_H V_nibble2_H))) (= V_nibble2 V_nibble2_H))))
% 1.76/1.97  (assume a1541 (forall ((V_nibble1 $$unsorted) (V_nibble2 $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Ochar_OChar V_nibble1 V_nibble2) tptp.tc_List_Ochar) tptp.c_0)))
% 1.76/1.97  (assume a1542 (forall ((T_a__1 $$unsorted)) (= (tptp.c_List_Oconcat tptp.c_List_Olist_ONil T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1543 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Oconcat (tptp.c_List_Olist_OCons V_x V_xs (tptp.tc_List_Olist T_a__1)) T_a__1) (tptp.c_append V_x (tptp.c_List_Oconcat V_xs T_a__1) T_a__1))))
% 1.76/1.97  (assume a1544 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oconcat (tptp.c_append V_xs V_ys (tptp.tc_List_Olist T_a)) T_a) (tptp.c_append (tptp.c_List_Oconcat V_xs T_a) (tptp.c_List_Oconcat V_ys T_a) T_a))))
% 1.76/1.97  (assume a1545 (forall ((V_U $$unsorted) (V_xss $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_U (tptp.c_List_Oset V_xss (tptp.tc_List_Olist T_a)) (tptp.tc_List_Olist T_a))) (not (= (tptp.c_List_Oconcat V_xss T_a) tptp.c_List_Olist_ONil)) (= V_U tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1546 (forall ((V_xss $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_Oconcat__eq__Nil__conv__1 V_xss T_a) (tptp.c_List_Oset V_xss (tptp.tc_List_Olist T_a)) (tptp.tc_List_Olist T_a)) (= (tptp.c_List_Oconcat V_xss T_a) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1547 (forall ((V_xss $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Main_Oconcat__eq__Nil__conv__1 V_xss T_a) tptp.c_List_Olist_ONil)) (= (tptp.c_List_Oconcat V_xss T_a) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1548 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_List_Orotate1 V_xs T_a) T_a)) (tptp.c_List_Odistinct V_xs T_a))))
% 1.76/1.97  (assume a1549 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_List_Odistinct (tptp.c_List_Orotate1 V_xs T_a) T_a))))
% 1.76/1.97  (assume a1550 (forall ((T_a__1 $$unsorted)) (tptp.c_List_Odistinct tptp.c_List_Olist_ONil T_a__1)))
% 1.76/1.97  (assume a1551 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a__1) T_a__1)))))
% 1.76/1.97  (assume a1552 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1)) (tptp.c_List_Odistinct V_xs T_a__1))))
% 1.76/1.97  (assume a1553 (forall ((V_xs $$unsorted) (T_a__1 $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a__1)) (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a__1) T_a__1))))
% 1.76/1.97  (assume a1554 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_append V_xs V_ys T_a) T_a)) (tptp.c_List_Odistinct V_xs T_a))))
% 1.76/1.97  (assume a1555 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_append V_xs V_ys T_a) T_a)) (tptp.c_List_Odistinct V_ys T_a))))
% 1.76/1.97  (assume a1556 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_append V_xs V_ys T_a) T_a)) (= (tptp.c_inter (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset V_ys T_a) T_a) tptp.c_emptyset))))
% 1.76/1.97  (assume a1557 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.c_List_Odistinct V_ys T_a)) (not (tptp.c_List_Odistinct V_xs T_a)) (not (= (tptp.c_inter (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset V_ys T_a) T_a) tptp.c_emptyset)) (tptp.c_List_Odistinct (tptp.c_append V_xs V_ys T_a) T_a))))
% 1.76/1.97  (assume a1558 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_List_Odistinct (tptp.c_List_Odrop V_i V_xs T_a) T_a))))
% 1.76/1.97  (assume a1559 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_List_Odistinct (tptp.c_List_Oremove1 V_x V_xs T_a) T_a))))
% 1.76/1.97  (assume a1560 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_List_Orev V_xs T_a) T_a)) (tptp.c_List_Odistinct V_xs T_a))))
% 1.76/1.97  (assume a1561 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_List_Odistinct (tptp.c_List_Orev V_xs T_a) T_a))))
% 1.76/1.97  (assume a1562 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_List_Odistinct (tptp.c_List_Orotate V_n V_xs T_a) T_a)) (tptp.c_List_Odistinct V_xs T_a))))
% 1.76/1.97  (assume a1563 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_List_Odistinct (tptp.c_List_Orotate V_n V_xs T_a) T_a))))
% 1.76/1.97  (assume a1564 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_I $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_List_Odistinct (tptp.c_List_Osublist V_xs V_I T_a) T_a))))
% 1.76/1.97  (assume a1565 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_List_Odistinct (tptp.c_List_Otake V_i V_xs T_a) T_a))))
% 1.76/1.97  (assume a1566 (forall ((V_i $$unsorted) (V_j $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Oupt V_i V_j) tptp.tc_nat)))
% 1.76/1.97  (assume a1567 (forall ((V_n $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Odrop V_n tptp.c_List_Olist_ONil T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1568 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop tptp.c_0 V_y T_a) V_y)))
% 1.76/1.97  (assume a1569 (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0)) (= (tptp.c_List_Odrop (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a)))))
% 1.76/1.97  (assume a1570 (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Odrop (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Odrop (tptp.c_minus (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_1 tptp.tc_nat) V_xs T_a)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1571 (forall ((V_n $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop (tptp.c_Suc V_n) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Odrop V_n V_xs T_a))))
% 1.76/1.97  (assume a1572 (forall ((V_n $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_append V_xs V_ys T_a) T_a) (tptp.c_append (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Odrop (tptp.c_minus V_n (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_ys T_a) T_a))))
% 1.76/1.97  (assume a1573 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Odrop V_m V_xs T_a) T_a) (tptp.c_List_Odrop (tptp.c_plus V_n V_m tptp.tc_nat) V_xs T_a))))
% 1.76/1.97  (assume a1574 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Odrop V_n V_xs T_a) tptp.c_List_Olist_ONil)) (tptp.c_lessequals (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1575 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat)) (= (tptp.c_List_Odrop V_n V_xs T_a) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1576 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_i (tptp.c_List_Oreplicate V_k V_x T_a) T_a) (tptp.c_List_Oreplicate (tptp.c_minus V_k V_i tptp.tc_nat) V_x T_a))))
% 1.76/1.97  (assume a1577 (forall ((V_m $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (= (tptp.c_List_Odrop V_m (tptp.c_List_Oupt V_i V_j) tptp.tc_nat) (tptp.c_List_Oupt (tptp.c_plus V_i V_m tptp.tc_nat) V_j))))
% 1.76/1.97  (assume a1578 (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ohd (tptp.c_List_Olist_OCons V_y V_xs T_a) T_a) V_y)))
% 1.76/1.97  (assume a1579 (forall ((V_y $$unsorted) (T_a $$unsorted)) (or (= V_y tptp.c_List_Olist_ONil) (= (tptp.c_List_Olist_OCons (tptp.c_List_Ohd V_y T_a) (tptp.c_List_Otl V_y T_a) T_a) V_y))))
% 1.76/1.97  (assume a1580 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= V_xs tptp.c_List_Olist_ONil) (= (tptp.c_List_Ohd (tptp.c_append V_xs V_ys T_a) T_a) (tptp.c_List_Ohd V_xs T_a)))))
% 1.76/1.97  (assume a1581 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Ohd V_xs T_a) (tptp.c_List_Oset V_xs T_a) T_a) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1582 (forall ((V_n $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (= V_n tptp.c_0) (= (tptp.c_List_Ohd (tptp.c_List_Oreplicate V_n V_y T_a) T_a) V_y))))
% 1.76/1.97  (assume a1583 (forall ((V_y $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_less V_y V_j tptp.tc_nat)) (= (tptp.c_List_Ohd (tptp.c_List_Oupt V_y V_j) tptp.tc_nat) V_y))))
% 1.76/1.97  (assume a1584 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oitrev V_xs V_x T_a) (tptp.c_append (tptp.c_List_Orev V_xs T_a) V_x T_a))))
% 1.76/1.97  (assume a1585 (forall ((V_y $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Oitrev tptp.c_List_Olist_ONil V_y T_a__1) V_y)))
% 1.76/1.97  (assume a1586 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oitrev (tptp.c_List_Olist_OCons V_x V_xs T_a__1) V_ys T_a__1) (tptp.c_List_Oitrev V_xs (tptp.c_List_Olist_OCons V_x V_ys T_a__1) T_a__1))))
% 1.76/1.97  (assume a1587 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a) V_x)))
% 1.76/1.97  (assume a1588 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= V_xs tptp.c_List_Olist_ONil) (= (tptp.c_List_Olast (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olast V_xs T_a)))))
% 1.76/1.97  (assume a1589 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_append V_xs tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olast V_xs T_a))))
% 1.76/1.97  (assume a1590 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= V_ys tptp.c_List_Olist_ONil) (= (tptp.c_List_Olast (tptp.c_append V_xs V_ys T_a) T_a) (tptp.c_List_Olast V_ys T_a)))))
% 1.76/1.97  (assume a1591 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_n (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)) (= (tptp.c_List_Olast (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Olast V_xs T_a)))))
% 1.76/1.97  (assume a1592 (forall ((V_as $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Olast V_as T_a) (tptp.c_List_Oset V_as T_a) T_a) (= V_as tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1593 (forall ((V_n $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (= V_n tptp.c_0) (= (tptp.c_List_Olast (tptp.c_List_Oreplicate V_n V_y T_a) T_a) V_y))))
% 1.76/1.97  (assume a1594 (forall ((V_xs $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a) T_a) V_y)))
% 1.76/1.97  (assume a1595 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_less V_i V_j tptp.tc_nat)) (= (tptp.c_List_Olast (tptp.c_List_Oupt V_i V_j) tptp.tc_nat) (tptp.c_minus V_j tptp.c_1 tptp.tc_nat)))))
% 1.76/1.97  (assume a1596 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.c_0)) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1597 (forall ((T_a $$unsorted)) (= (tptp.c_Nat_Osize tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a)) tptp.c_0)))
% 1.76/1.97  (assume a1598 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_append V_xs V_ys T_a) (tptp.tc_List_Olist T_a)) (tptp.c_plus (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_a)) tptp.tc_nat))))
% 1.76/1.97  (assume a1599 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Obutlast V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_minus (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.c_1 tptp.tc_nat))))
% 1.76/1.97  (assume a1600 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Odrop V_n V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_minus (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1601 (forall ((T_a $$unsorted)) (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Osize tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a)) tptp.tc_nat))))
% 1.76/1.97  (assume a1602 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_less tptp.c_0 (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1603 (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Olist__update V_xs V_i V_x T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1604 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Nat_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)))) (= (tptp.c_List_Oremdups V_xs T_a) V_xs))))
% 1.76/1.97  (assume a1605 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_xs T_a) V_xs)) (= (tptp.c_Nat_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1606 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Oreplicate V_y V_x T_a) (tptp.tc_List_Olist T_a)) V_y)))
% 1.76/1.97  (assume a1607 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Orev V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1608 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Orotate1 V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1609 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Orotate V_n V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1610 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Otake V_n V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Orderings_Omin (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1611 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Otl V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_minus (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.c_1 tptp.tc_nat))))
% 1.76/1.97  (assume a1612 (forall ((V_i $$unsorted) (V_j $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Oupt V_i V_j) (tptp.tc_List_Olist tptp.tc_nat)) (tptp.c_minus V_j V_i tptp.tc_nat))))
% 1.76/1.97  (assume a1613 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Ozip V_xs V_ys T_a T_b) (tptp.tc_List_Olist (tptp.tc_prod T_a T_b))) (tptp.c_Orderings_Omin (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_b)) tptp.tc_nat))))
% 1.76/1.97  (assume a1614 (forall ((V_r $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Olexn V_r tptp.c_0 T_a__1) tptp.c_emptyset)))
% 1.76/1.97  (assume a1615 (forall ((V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair tptp.c_List_Olist_ONil V_y (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_y (tptp.c_List_Olist_OCons (tptp.c_Main_Olexord__Nil__left__1 V_y T_a) (tptp.c_Main_Olexord__Nil__left__2 V_y T_a) T_a)))))
% 1.76/1.97  (assume a1616 (forall ((V_U $$unsorted) (V_V $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (tptp.c_in (tptp.c_Pair tptp.c_List_Olist_ONil (tptp.c_List_Olist_OCons V_U V_V T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1617 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (not (tptp.c_in (tptp.c_Pair V_x tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1618 (forall ((V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_a V_x T_a) (tptp.c_List_Olist_OCons V_b V_y T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a)) (= V_a V_b))))
% 1.76/1.97  (assume a1619 (forall ((V_a $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_y $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_a V_x T_a) (tptp.c_List_Olist_OCons V_b V_y T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a)) (tptp.c_in (tptp.c_Pair V_x V_y (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1620 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_a V_x T_a) (tptp.c_List_Olist_OCons V_b V_y T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1621 (forall ((V_xa $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xa V_y (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_OCons V_x V_y T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olexord V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 1.76/1.97  (assume a1622 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= tptp.c_List_Olist_ONil (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))
% 1.76/1.97  (assume a1623 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_a_H V_list_H T_a) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1624 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))))
% 1.76/1.97  (assume a1625 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))))
% 1.76/1.97  (assume a1626 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.tc_List_Olist T_a)) (tptp.c_plus (tptp.c_Nat_Osize V_list (tptp.tc_List_Olist T_a)) (tptp.c_Suc tptp.c_0) tptp.tc_nat))))
% 1.76/1.97  (assume a1627 (forall ((V_bs $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Olist__inter tptp.c_List_Olist_ONil V_bs T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1628 (forall ((V_a $$unsorted) (V_bs $$unsorted) (T_a__1 $$unsorted) (V_as $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_List_Oset V_bs T_a__1) T_a__1)) (= (tptp.c_List_Olist__inter (tptp.c_List_Olist_OCons V_a V_as T_a__1) V_bs T_a__1) (tptp.c_List_Olist_OCons V_a (tptp.c_List_Olist__inter V_as V_bs T_a__1) T_a__1)))))
% 1.76/1.97  (assume a1629 (forall ((V_a $$unsorted) (V_bs $$unsorted) (T_a__1 $$unsorted) (V_as $$unsorted)) (or (tptp.c_in V_a (tptp.c_List_Oset V_bs T_a__1) T_a__1) (= (tptp.c_List_Olist__inter (tptp.c_List_Olist_OCons V_a V_as T_a__1) V_bs T_a__1) (tptp.c_List_Olist__inter V_as V_bs T_a__1)))))
% 1.76/1.97  (assume a1630 (forall ((V_i $$unsorted) (V_v $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Olist__update tptp.c_List_Olist_ONil V_i V_v T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1631 (forall ((V_y $$unsorted) (T_a $$unsorted) (V_i $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Nat_Osize V_y (tptp.tc_List_Olist T_a)) V_i tptp.tc_nat)) (= (tptp.c_List_Olist__update V_y V_i V_x T_a) V_y))))
% 1.76/1.97  (assume a1632 (forall ((V_i $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_i (tptp.c_Nat_Osize V_y (tptp.tc_List_Olist T_a)) tptp.tc_nat)) (= (tptp.c_List_Olist__update V_y V_i (tptp.c_List_Onth V_y V_i T_a) T_a) V_y))))
% 1.76/1.97  (assume a1633 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_x V_ys T_a) T_a) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) V_y T_a) (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a))))
% 1.76/1.97  (assume a1634 (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_less V_i (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)) (= (tptp.c_List_Olist__update (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_i V_y T_a) (tptp.c_List_Olist__update V_xs V_i V_y T_a)))))
% 1.76/1.97  (assume a1635 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OImage (tptp.c_List_Olistrel V_r T_a) (tptp.c_insert tptp.c_List_Olist_ONil tptp.c_emptyset (tptp.tc_List_Olist T_a)) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_insert tptp.c_List_Olist_ONil tptp.c_emptyset (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1636 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olists (tptp.c_inter V_A V_B T_a) T_a) (tptp.c_inter (tptp.c_List_Olists V_A T_a) (tptp.c_List_Olists V_B T_a) (tptp.tc_List_Olist T_a)))))
% 1.76/1.97  (assume a1637 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olists tptp.c_UNIV T_a) tptp.c_UNIV)))
% 1.76/1.97  (assume a1638 (forall ((T_a__1 $$unsorted)) (= (tptp.c_List_Olistset tptp.c_List_Olist_ONil T_a__1) (tptp.c_insert tptp.c_List_Olist_ONil tptp.c_emptyset (tptp.tc_List_Olist T_a__1)))))
% 1.76/1.97  (assume a1639 (forall ((V_A $$unsorted) (V_As $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Olistset (tptp.c_List_Olist_OCons V_A V_As (tptp.tc_set T_a__1)) T_a__1) (tptp.c_List_Oset__Cons V_A (tptp.c_List_Olistset V_As T_a__1) T_a__1))))
% 1.76/1.97  (assume a1640 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_y $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_y V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble9 T_a) V_y)))
% 1.76/1.97  (assume a1641 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_y $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_y V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibbleA T_a) V_y)))
% 1.76/1.97  (assume a1642 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_y $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_y V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibbleB T_a) V_y)))
% 1.76/1.97  (assume a1643 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_y $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_y V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibbleC T_a) V_y)))
% 1.76/1.97  (assume a1644 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_y $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_y V_f15 V_f16 tptp.c_List_Onibble_ONibbleD T_a) V_y)))
% 1.76/1.97  (assume a1645 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_y $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_y V_f16 tptp.c_List_Onibble_ONibbleE T_a) V_y)))
% 1.76/1.97  (assume a1646 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_y tptp.c_List_Onibble_ONibbleF T_a) V_y)))
% 1.76/1.97  (assume a1647 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_y V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble0 T_a) V_y)))
% 1.76/1.97  (assume a1648 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_y V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble1 T_a) V_y)))
% 1.76/1.97  (assume a1649 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_y $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_y V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble2 T_a) V_y)))
% 1.76/1.97  (assume a1650 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_y $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_y V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble3 T_a) V_y)))
% 1.76/1.97  (assume a1651 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_y $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_y V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble4 T_a) V_y)))
% 1.76/1.97  (assume a1652 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_y $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_y V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble5 T_a) V_y)))
% 1.76/1.97  (assume a1653 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_y $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_y V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble6 T_a) V_y)))
% 1.76/1.97  (assume a1654 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_y $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_y V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble7 T_a) V_y)))
% 1.76/1.97  (assume a1655 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_y $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__case V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_y V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble8 T_a) V_y)))
% 1.76/1.97  (assume a1656 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_y $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_y V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble9 T_a) V_y)))
% 1.76/1.97  (assume a1657 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_y $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_y V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibbleA T_a) V_y)))
% 1.76/1.97  (assume a1658 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_y $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_y V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibbleB T_a) V_y)))
% 1.76/1.97  (assume a1659 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_y $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_y V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibbleC T_a) V_y)))
% 1.76/1.97  (assume a1660 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_y $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_y V_f15 V_f16 tptp.c_List_Onibble_ONibbleD T_a) V_y)))
% 1.76/1.97  (assume a1661 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_y $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_y V_f16 tptp.c_List_Onibble_ONibbleE T_a) V_y)))
% 1.76/1.97  (assume a1662 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_y tptp.c_List_Onibble_ONibbleF T_a) V_y)))
% 1.76/1.97  (assume a1663 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_y V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble0 T_a) V_y)))
% 1.76/1.97  (assume a1664 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_y V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble1 T_a) V_y)))
% 1.76/1.97  (assume a1665 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_y $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_y V_f4 V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble2 T_a) V_y)))
% 1.76/1.97  (assume a1666 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_y $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_y V_f5 V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble3 T_a) V_y)))
% 1.76/1.97  (assume a1667 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_y $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_y V_f6 V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble4 T_a) V_y)))
% 1.76/1.97  (assume a1668 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_y $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_y V_f7 V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble5 T_a) V_y)))
% 1.76/1.97  (assume a1669 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_y $$unsorted) (V_f8 $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_y V_f8 V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble6 T_a) V_y)))
% 1.76/1.97  (assume a1670 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_y $$unsorted) (V_f9 $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_y V_f9 V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble7 T_a) V_y)))
% 1.76/1.97  (assume a1671 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_f4 $$unsorted) (V_f5 $$unsorted) (V_f6 $$unsorted) (V_f7 $$unsorted) (V_f8 $$unsorted) (V_y $$unsorted) (V_f10 $$unsorted) (V_f11 $$unsorted) (V_f12 $$unsorted) (V_f13 $$unsorted) (V_f14 $$unsorted) (V_f15 $$unsorted) (V_f16 $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onibble_Onibble__rec V_f1 V_f2 V_f3 V_f4 V_f5 V_f6 V_f7 V_f8 V_y V_f10 V_f11 V_f12 V_f13 V_f14 V_f15 V_f16 tptp.c_List_Onibble_ONibble8 T_a) V_y)))
% 1.76/1.97  (assume a1672 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble9 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1673 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibbleA tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1674 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibbleB tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1675 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibbleC tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1676 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibbleD tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1677 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibbleE tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1678 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibbleF tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1679 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble0 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1680 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble1 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1681 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble2 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1682 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble3 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1683 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble4 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1684 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble5 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1685 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble6 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1686 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble7 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1687 (= (tptp.c_Nat_Osize tptp.c_List_Onibble_ONibble8 tptp.tc_List_Onibble) tptp.c_0))
% 1.76/1.97  (assume a1688 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))))
% 1.76/1.97  (assume a1689 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oremove1 V_y V_xs T_a) T_a) T_a)) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 1.76/1.97  (assume a1690 (forall ((V_x $$unsorted) (V_xs $$unsorted) (V_I $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Osublist V_xs V_I T_a) T_a) T_a)) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 1.76/1.97  (assume a1691 (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_y V_xs T_a) tptp.c_0 T_a) V_y)))
% 1.76/1.97  (assume a1692 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (= (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_Suc V_n) T_a) (tptp.c_List_Onth V_xs V_n T_a))))
% 1.76/1.97  (assume a1693 (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0)) (= (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) T_a) V_x))))
% 1.76/1.97  (assume a1694 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_v $$unsorted)) (or (= (tptp.c_List_Onth (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) T_a) (tptp.c_List_Onth V_xs (tptp.c_minus (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_1 tptp.tc_nat) T_a)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1695 (forall ((V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Onth (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) T_a) V_y)))
% 1.76/1.97  (assume a1696 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (= (tptp.c_List_Onth (tptp.c_append V_xs V_ys T_a) (tptp.c_plus (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat) T_a) (tptp.c_List_Onth V_ys V_n T_a))))
% 1.76/1.97  (assume a1697 (forall ((V_n $$unsorted) (V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_plus V_n V_i tptp.tc_nat) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Odrop V_n V_xs T_a) V_i T_a) (tptp.c_List_Onth V_xs (tptp.c_plus V_n V_i tptp.tc_nat) T_a)))))
% 1.76/1.97  (assume a1698 (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_less V_i (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Olist__update V_xs V_i V_y T_a) V_i T_a) V_y))))
% 1.76/1.97  (assume a1699 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= V_i V_j) (= (tptp.c_List_Onth (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_j T_a) (tptp.c_List_Onth V_xs V_j T_a)))))
% 1.76/1.97  (assume a1700 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_n (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)) (tptp.c_in (tptp.c_List_Onth V_xs V_n T_a) (tptp.c_List_Oset V_xs T_a) T_a))))
% 1.76/1.97  (assume a1701 (forall ((V_i $$unsorted) (V_n $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_i V_n tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Oreplicate V_n V_y T_a) V_i T_a) V_y))))
% 1.76/1.97  (assume a1702 (forall ((V_i $$unsorted) (V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_i V_n tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Otake V_n V_xs T_a) V_i T_a) (tptp.c_List_Onth V_xs V_i T_a)))))
% 1.76/1.97  (assume a1703 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_less (tptp.c_plus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Oupt V_i V_j) V_k tptp.tc_nat) (tptp.c_plus V_i V_k tptp.tc_nat)))))
% 1.76/1.97  (assume a1704 (forall ((V_i $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_i (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_b)) tptp.tc_nat)) (not (tptp.c_less V_i (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Ozip V_xs V_ys T_a T_b) V_i (tptp.tc_prod T_a T_b)) (tptp.c_Pair (tptp.c_List_Onth V_xs V_i T_a) (tptp.c_List_Onth V_ys V_i T_b) T_a T_b)))))
% 1.76/1.97  (assume a1705 (forall ((T_a__1 $$unsorted)) (tptp.c_List_Onull tptp.c_List_Olist_ONil T_a__1)))
% 1.76/1.97  (assume a1706 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (not (tptp.c_List_Onull (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1))))
% 1.76/1.97  (assume a1707 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted) (V_ys $$unsorted)) (= (tptp.c_append (tptp.c_List_Olist_OCons V_x V_xs T_a__1) V_ys T_a__1) (tptp.c_List_Olist_OCons V_x (tptp.c_append V_xs V_ys T_a__1) T_a__1))))
% 1.76/1.97  (assume a1708 (forall ((V_x $$unsorted) (T_a__1 $$unsorted)) (not (tptp.c_List_Oop_Amem V_x tptp.c_List_Olist_ONil T_a__1))))
% 1.76/1.97  (assume a1709 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a__1 $$unsorted)) (or (not (tptp.c_List_Oop_Amem V_x (tptp.c_List_Olist_OCons V_y V_ys T_a__1) T_a__1)) (tptp.c_List_Oop_Amem V_x V_ys T_a__1) (= V_y V_x))))
% 1.76/1.97  (assume a1710 (forall ((V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (tptp.c_List_Oop_Amem V_x (tptp.c_List_Olist_OCons V_x V_ys T_a) T_a)))
% 1.76/1.97  (assume a1711 (forall ((V_x $$unsorted) (V_ys $$unsorted) (T_a__1 $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_List_Oop_Amem V_x V_ys T_a__1)) (tptp.c_List_Oop_Amem V_x (tptp.c_List_Olist_OCons V_y V_ys T_a__1) T_a__1))))
% 1.76/1.97  (assume a1712 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a__1) T_a__1)) (= (tptp.c_List_Oremdups (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1) (tptp.c_List_Oremdups V_xs T_a__1)))))
% 1.76/1.97  (assume a1713 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a__1) T_a__1) (= (tptp.c_List_Oremdups (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oremdups V_xs T_a__1) T_a__1)))))
% 1.76/1.97  (assume a1714 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_x T_a) tptp.c_List_Olist_ONil)) (= V_x tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1715 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oremdups tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1716 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_List_Olist_ONil (tptp.c_List_Oremdups V_x T_a))) (= V_x tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1717 (forall ((T_a $$unsorted)) (= tptp.c_List_Olist_ONil (tptp.c_List_Oremdups tptp.c_List_Olist_ONil T_a))))
% 1.76/1.97  (assume a1718 (forall ((V_x $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Oremove1 V_x tptp.c_List_Olist_ONil T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1719 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_xs)))
% 1.76/1.97  (assume a1720 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (or (= V_x V_y) (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Olist_OCons V_y V_xs T_a__1) T_a__1) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Oremove1 V_x V_xs T_a__1) T_a__1)))))
% 1.76/1.97  (assume a1721 (forall ((V_x $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Oreplicate tptp.c_0 V_x T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1722 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Oreplicate (tptp.c_Suc V_n) V_x T_a__1) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oreplicate V_n V_x T_a__1) T_a__1))))
% 1.76/1.97  (assume a1723 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1) (tptp.c_append (tptp.c_List_Orev V_xs T_a__1) (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a__1) T_a__1))))
% 1.76/1.97  (assume a1724 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_append V_xs V_ys T_a) T_a) (tptp.c_append (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Orev V_xs T_a) T_a))))
% 1.76/1.97  (assume a1725 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= V_xs (tptp.c_append (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a)))))
% 1.76/1.97  (assume a1726 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Orev (tptp.c_append (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))))
% 1.76/1.97  (assume a1727 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) tptp.c_List_Olist_ONil)) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1728 (forall ((T_a $$unsorted)) (= (tptp.c_List_Orev tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1729 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Orev V_ys T_a))) (= V_xs V_ys))))
% 1.76/1.97  (assume a1730 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Oreplicate V_n V_x T_a) T_a) (tptp.c_List_Oreplicate V_n V_x T_a))))
% 1.76/1.97  (assume a1731 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Orev V_y T_a) T_a) V_y)))
% 1.76/1.97  (assume a1732 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a)))))
% 1.76/1.97  (assume a1733 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a))))
% 1.76/1.97  (assume a1734 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Orotate1 V_xs T_a) tptp.c_List_Olist_ONil)) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1735 (forall ((T_a $$unsorted)) (= (tptp.c_List_Orotate1 tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1736 (forall ((V_y $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Nat_Osize V_y (tptp.tc_List_Olist T_a)) tptp.c_1 tptp.tc_nat)) (= (tptp.c_List_Orotate1 V_y T_a) V_y))))
% 1.76/1.97  (assume a1737 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate (tptp.c_Suc V_n) V_xs T_a) (tptp.c_List_Orotate1 (tptp.c_List_Orotate V_n V_xs T_a) T_a))))
% 1.76/1.97  (assume a1738 (forall ((V_n $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod V_n (tptp.c_Nat_Osize V_y (tptp.tc_List_Olist T_a)) tptp.tc_nat) tptp.c_0)) (= (tptp.c_List_Orotate V_n V_y T_a) V_y))))
% 1.76/1.97  (assume a1739 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Orotate V_n V_xs T_a) tptp.c_List_Olist_ONil)) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1740 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate V_n tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1741 (forall ((V_y $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Nat_Osize V_y (tptp.tc_List_Olist T_a)) tptp.c_1 tptp.tc_nat)) (= (tptp.c_List_Orotate V_n V_y T_a) V_y))))
% 1.76/1.97  (assume a1742 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) (tptp.c_append V_xs V_zs T_a))) (= V_ys V_zs))))
% 1.76/1.97  (assume a1743 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= V_ys (tptp.c_append V_xs V_ys T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1744 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_append tptp.c_List_Olist_ONil V_ys T_a))))
% 1.76/1.97  (assume a1745 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= V_xs (tptp.c_append V_xs V_ys T_a))) (= V_ys tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1746 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_append V_xs tptp.c_List_Olist_ONil T_a))))
% 1.76/1.97  (assume a1747 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a__1) T_a__1) (tptp.c_insert V_x (tptp.c_List_Oset V_xs T_a__1) T_a__1))))
% 1.76/1.97  (assume a1748 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_append V_xs V_ys T_a) T_a) (tptp.c_union (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset V_ys T_a) T_a))))
% 1.76/1.97  (assume a1749 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_List_Oset V_xs T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1750 (forall ((T_a $$unsorted)) (= tptp.c_emptyset (tptp.c_List_Oset tptp.c_List_Olist_ONil T_a))))
% 1.76/1.97  (assume a1751 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oset V_xs T_a) tptp.c_emptyset)) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1752 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oset tptp.c_List_Olist_ONil T_a) tptp.c_emptyset)))
% 1.76/1.97  (assume a1753 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Oremdups V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 1.76/1.97  (assume a1754 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_List_Odistinct V_xs T_a)) (= (tptp.c_List_Oset (tptp.c_List_Oremove1 V_x V_xs T_a) T_a) (tptp.c_minus (tptp.c_List_Oset V_xs T_a) (tptp.c_insert V_x tptp.c_emptyset T_a) (tptp.tc_set T_a))))))
% 1.76/1.97  (assume a1755 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= V_n tptp.c_0) (= (tptp.c_List_Oset (tptp.c_List_Oreplicate V_n V_x T_a) T_a) (tptp.c_insert V_x tptp.c_emptyset T_a)))))
% 1.76/1.97  (assume a1756 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Orev V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 1.76/1.97  (assume a1757 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Orotate1 V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 1.76/1.97  (assume a1758 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Orotate V_n V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 1.76/1.97  (assume a1759 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) (tptp.c_List_Orev V_xs T_a))) (= V_xs (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a)))))
% 1.76/1.97  (assume a1760 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a))))
% 1.76/1.97  (assume a1761 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osublist V_xs tptp.c_emptyset T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1762 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osublist tptp.c_List_Olist_ONil V_A T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1763 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in tptp.c_0 V_A tptp.tc_nat)) (= (tptp.c_List_Osublist (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) V_A T_a) (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a)))))
% 1.76/1.97  (assume a1764 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.c_in tptp.c_0 V_A tptp.tc_nat) (= (tptp.c_List_Osublist (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) V_A T_a) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1765 (forall ((V_l $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Osublist V_l (tptp.c_SetInterval_OlessThan V_n tptp.tc_nat) T_a) (tptp.c_List_Otake V_n V_l T_a))))
% 1.76/1.97  (assume a1766 (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0)) (= (tptp.c_List_Otake (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1767 (forall ((V_v $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otake (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Otake (tptp.c_minus (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_1 tptp.tc_nat) V_xs T_a) T_a)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1768 (forall ((V_n $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake (tptp.c_Suc V_n) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Otake V_n V_xs T_a) T_a))))
% 1.76/1.97  (assume a1769 (forall ((V_y $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Nat_Osize V_y (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat)) (= (tptp.c_List_Otake V_n V_y T_a) V_y))))
% 1.76/1.97  (assume a1770 (forall ((V_n $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_append V_xs V_ys T_a) T_a) (tptp.c_append (tptp.c_List_Otake V_n V_xs T_a) (tptp.c_List_Otake (tptp.c_minus V_n (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_ys T_a) T_a))))
% 1.76/1.97  (assume a1771 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Otake V_n V_xs T_a) tptp.c_List_Olist_ONil)) (= V_n tptp.c_0) (= V_xs tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1772 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake tptp.c_0 V_xs T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1773 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1774 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_i (tptp.c_List_Oreplicate V_k V_x T_a) T_a) (tptp.c_List_Oreplicate (tptp.c_Orderings_Omin V_i V_k tptp.tc_nat) V_x T_a))))
% 1.76/1.97  (assume a1775 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_List_Otake V_m V_xs T_a) T_a) (tptp.c_List_Otake (tptp.c_Orderings_Omin V_n V_m tptp.tc_nat) V_xs T_a))))
% 1.76/1.97  (assume a1776 (forall ((V_i $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_plus V_i V_m tptp.tc_nat) V_n tptp.tc_nat)) (= (tptp.c_List_Otake V_m (tptp.c_List_Oupt V_i V_n) tptp.tc_nat) (tptp.c_List_Oupt V_i (tptp.c_plus V_i V_m tptp.tc_nat))))))
% 1.76/1.97  (assume a1777 (forall ((T_a__1 $$unsorted)) (= (tptp.c_List_Otl tptp.c_List_Olist_ONil T_a__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1778 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Olist_OCons V_x V_y T_a__1) T_a__1) V_y)))
% 1.76/1.97  (assume a1779 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= V_xs tptp.c_List_Olist_ONil) (= (tptp.c_List_Otl (tptp.c_append V_xs V_ys T_a) T_a) (tptp.c_append (tptp.c_List_Otl V_xs T_a) V_ys T_a)))))
% 1.76/1.97  (assume a1780 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= V_n tptp.c_0) (= (tptp.c_List_Otl (tptp.c_List_Oreplicate V_n V_x T_a) T_a) (tptp.c_List_Oreplicate (tptp.c_minus V_n tptp.c_1 tptp.tc_nat) V_x T_a)))))
% 1.76/1.97  (assume a1781 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (not (tptp.c_lessequals V_i V_j tptp.tc_nat)) (= (tptp.c_List_Oupt V_i (tptp.c_Suc V_j)) (tptp.c_append (tptp.c_List_Oupt V_i V_j) (tptp.c_List_Olist_OCons V_j tptp.c_List_Olist_ONil tptp.tc_nat) tptp.tc_nat)))))
% 1.76/1.97  (assume a1782 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_j tptp.tc_nat) (= (tptp.c_List_Oupt V_i (tptp.c_Suc V_j)) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1783 (forall ((V_i $$unsorted) (V_j $$unsorted)) (or (not (= (tptp.c_List_Oupt V_i V_j) tptp.c_List_Olist_ONil)) (tptp.c_lessequals V_j V_i tptp.tc_nat) (= V_j tptp.c_0))))
% 1.76/1.97  (assume a1784 (forall ((V_i $$unsorted)) (= (tptp.c_List_Oupt V_i tptp.c_0) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1785 (forall ((V_j $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_lessequals V_j V_i tptp.tc_nat)) (= (tptp.c_List_Oupt V_i V_j) tptp.c_List_Olist_ONil))))
% 1.76/1.97  (assume a1786 (forall ((V_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))))
% 1.76/1.97  (assume a1787 (forall ((V_xs $$unsorted) (T_a__1 $$unsorted) (T_b__1 $$unsorted)) (= (tptp.c_List_Ozip V_xs tptp.c_List_Olist_ONil T_a__1 T_b__1) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1788 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Ozip (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b) (tptp.c_List_Olist_OCons (tptp.c_Pair V_x V_y T_a T_b) (tptp.c_List_Ozip V_xs V_ys T_a T_b) (tptp.tc_prod T_a T_b)))))
% 1.76/1.97  (assume a1789 (forall ((V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Ozip tptp.c_List_Olist_ONil V_ys T_a T_b) tptp.c_List_Olist_ONil)))
% 1.76/1.97  (assume a1790 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_vs $$unsorted) (T_b $$unsorted) (V_xs $$unsorted) (V_us $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_vs (tptp.tc_List_Olist T_b)))) (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_us (tptp.tc_List_Olist T_b)))) (= (tptp.c_List_Ozip (tptp.c_append V_xs V_ys T_a) (tptp.c_append V_us V_vs T_b) T_a T_b) (tptp.c_append (tptp.c_List_Ozip V_xs V_us T_a T_b) (tptp.c_List_Ozip V_ys V_vs T_a T_b) (tptp.tc_prod T_a T_b))))))
% 1.76/1.97  (assume a1791 (forall ((V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_j $$unsorted) (V_y $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Ozip (tptp.c_List_Oreplicate V_i V_x T_a) (tptp.c_List_Oreplicate V_j V_y T_b) T_a T_b) (tptp.c_List_Oreplicate (tptp.c_Orderings_Omin V_i V_j tptp.tc_nat) (tptp.c_Pair V_x V_y T_a T_b) (tptp.tc_prod T_a T_b)))))
% 1.76/1.97  (assume a1792 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)) (not (= (tptp.c_Map_Omap__of (tptp.c_List_Ozip V_xs V_ys T_a T_b) V_x T_a T_b) tptp.c_Datatype_Ooption_ONone)) (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_b)))))))
% 1.76/1.97  (assume a1793 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (= (tptp.c_Map_Omap__of (tptp.c_List_Ozip V_xs V_ys T_a T_b) V_x T_a T_b) tptp.c_Datatype_Ooption_ONone))))
% 1.76/1.97  (assume a1794 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_lessequals V_k V_j tptp.tc_nat)) (= (tptp.c_plus (tptp.c_minus V_j V_k tptp.tc_nat) V_i tptp.tc_nat) (tptp.c_minus (tptp.c_plus V_j V_i tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.76/1.97  (assume a1795 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_lessequals V_k V_j tptp.tc_nat)) (= (tptp.c_plus V_i (tptp.c_minus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_minus (tptp.c_plus V_i V_j tptp.tc_nat) V_k tptp.tc_nat)))))
% 1.76/1.97  (assume a1796 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals V_k V_j tptp.tc_nat)) (= (tptp.c_minus V_m (tptp.c_Suc (tptp.c_minus V_j V_k tptp.tc_nat)) tptp.tc_nat) (tptp.c_minus (tptp.c_plus V_m V_k tptp.tc_nat) (tptp.c_Suc V_j) tptp.tc_nat)))))
% 1.76/1.97  (assume a1797 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals V_k V_j tptp.tc_nat)) (= (tptp.c_minus (tptp.c_Suc (tptp.c_minus V_j V_k tptp.tc_nat)) V_m tptp.tc_nat) (tptp.c_minus (tptp.c_Suc V_j) (tptp.c_plus V_k V_m tptp.tc_nat) tptp.tc_nat)))))
% 1.76/1.97  (assume a1798 (forall ((V_y $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_y V_n tptp.tc_nat)) (= (tptp.c_minus V_n (tptp.c_minus V_n V_y tptp.tc_nat) tptp.tc_nat) V_y))))
% 1.76/1.97  (assume a1799 (forall ((V_k $$unsorted) (V_j $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_lessequals V_k V_j tptp.tc_nat)) (= (tptp.c_minus V_i (tptp.c_minus V_j V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_minus (tptp.c_plus V_i V_k tptp.tc_nat) V_j tptp.tc_nat)))))
% 1.76/1.97  (assume a1800 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_m tptp.tc_nat)) (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_less (tptp.c_minus V_m V_n tptp.tc_nat) V_m tptp.tc_nat))))
% 1.76/1.97  (assume a1801 (forall ((T_a__1 $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a__1)) (= (tptp.c_NatArith_Oof__nat (tptp.c_Suc V_m) T_a__1) (tptp.c_plus (tptp.c_NatArith_Oof__nat V_m T_a__1) tptp.c_1 T_a__1)))))
% 1.76/1.97  (assume a1802 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= tptp.c_0 (tptp.c_NatArith_Oof__nat V_n T_a))) (= tptp.c_0 V_n))))
% 1.76/1.97  (assume a1803 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (= tptp.c_0 (tptp.c_NatArith_Oof__nat tptp.c_0 T_a)))))
% 1.76/1.97  (assume a1804 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_NatArith_Oof__nat V_n T_a) T_a))))
% 1.76/1.97  (assume a1805 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_NatArith_Oof__nat V_n T_a) T_a)) (tptp.c_less tptp.c_0 V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1806 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_NatArith_Oof__nat V_n T_a) T_a))))
% 1.76/1.97  (assume a1807 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (= (tptp.c_NatArith_Oof__nat tptp.c_1 T_a) tptp.c_1))))
% 1.76/1.97  (assume a1808 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (= (tptp.c_NatArith_Oof__nat (tptp.c_plus V_m V_n tptp.tc_nat) T_a) (tptp.c_plus (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a) T_a)))))
% 1.76/1.97  (assume a1809 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (= (tptp.c_NatArith_Oof__nat (tptp.c_minus V_m V_n tptp.tc_nat) T_a) (tptp.c_minus (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a) T_a)))))
% 1.76/1.97  (assume a1810 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_NatArith_Oof__nat V_m T_a) tptp.c_0)) (= V_m tptp.c_0))))
% 1.76/1.97  (assume a1811 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (= (tptp.c_NatArith_Oof__nat tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.97  (assume a1812 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (= (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a))) (= V_m V_n))))
% 1.76/1.97  (assume a1813 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_NatArith_Oof__nat V_m T_a) tptp.c_0 T_a)) (= V_m tptp.c_0))))
% 1.76/1.97  (assume a1814 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals (tptp.c_NatArith_Oof__nat tptp.c_0 T_a) tptp.c_0 T_a))))
% 1.76/1.97  (assume a1815 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a) T_a)) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1816 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (tptp.c_lessequals (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a) T_a))))
% 1.76/1.97  (assume a1817 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less (tptp.c_NatArith_Oof__nat V_m T_a) tptp.c_0 T_a)))))
% 1.76/1.97  (assume a1818 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a) T_a)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a1819 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less V_m V_n tptp.tc_nat)) (tptp.c_less (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a) T_a))))
% 1.76/1.97  (assume a1820 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (= (tptp.c_NatArith_Oof__nat (tptp.c_times V_m V_n tptp.tc_nat) T_a) (tptp.c_times (tptp.c_NatArith_Oof__nat V_m T_a) (tptp.c_NatArith_Oof__nat V_n T_a) T_a)))))
% 1.76/1.97  (assume a1821 (forall ((V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Suc (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)) tptp.c_1))))
% 1.76/1.97  (assume a1822 (forall ((V_v $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Suc (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__succ V_v) tptp.tc_nat)))))
% 1.76/1.97  (assume a1823 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1824 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)))))
% 1.76/1.97  (assume a1825 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v V_v_H) tptp.tc_nat)))))
% 1.76/1.97  (assume a1826 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1827 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_IntDef_Onat (tptp.c_div (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))))
% 1.76/1.97  (assume a1828 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd (tptp.c_Numeral_Onumber__of V_x tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_y tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_y tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_x tptp.tc_nat) tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1829 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_y tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_x tptp.tc_nat) tptp.tc_nat) tptp.c_0)) (tptp.c_Divides_Oop_Advd (tptp.c_Numeral_Onumber__of V_x tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_y tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1830 (forall ((V_v $$unsorted)) (or (not (= tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat))) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1831 (forall ((V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)))))
% 1.76/1.97  (assume a1832 (forall ((V_v $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)))))
% 1.76/1.97  (assume a1833 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat))) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1834 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat))) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1835 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1836 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1837 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1838 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat))) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1839 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1840 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1841 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1842 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1843 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1844 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1845 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat)))))
% 1.76/1.97  (assume a1846 (forall ((V_v $$unsorted)) (or (not (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0)) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1847 (forall ((V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1848 (forall ((V_v $$unsorted)) (or (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1849 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_IntDef_Oint (tptp.c_plus V_m V_n tptp.tc_nat)) (tptp.c_plus (tptp.c_IntDef_Oint V_m) (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1850 (forall ((V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_IntDef_Oint (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)) tptp.c_0))))
% 1.76/1.97  (assume a1851 (forall ((V_v $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_IntDef_Oint (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)) (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1852 (forall ((V_v $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__minus V_v) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1853 (forall ((V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__minus V_v) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1854 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__minus V_v_H) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1855 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.97  (assume a1856 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1857 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__minus V_v_H) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1858 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_v_H)) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__minus V_v_H) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1859 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1860 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)))))
% 1.76/1.97  (assume a1861 (forall ((V_v_H $$unsorted) (V_v $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_IntDef_Onat (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))))
% 1.76/1.97  (assume a1862 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_times (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a1863 (forall ((V_v $$unsorted) (V_v_H $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_times (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__mult V_v V_v_H) tptp.tc_nat)))))
% 1.76/1.97  (assume a1864 (forall ((V_w $$unsorted)) (= (tptp.c_IntDef_Onat (tptp.c_Numeral_Onumber__of V_w tptp.tc_IntDef_Oint)) (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat))))
% 1.76/1.97  (assume a1865 (= (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OPls tptp.tc_nat) tptp.c_0))
% 1.76/1.97  (assume a1866 (= (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.tc_nat) tptp.c_1))
% 1.76/1.97  (assume a1867 (forall ((T_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_NatArith_Oof__nat (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) T_a) tptp.c_0))))
% 1.76/1.97  (assume a1868 (forall ((T_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_NatArith_Oof__nat (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) T_a) (tptp.c_Numeral_Onumber__of V_v T_a)))))
% 1.76/1.97  (assume a1869 (forall ((V_v_H $$unsorted)) (= (tptp.c_div (tptp.c_Suc tptp.c_0) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_IntDef_Onat (tptp.c_div tptp.c_1 (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))))
% 1.76/1.97  (assume a1870 (forall ((V_v_H $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Suc tptp.c_0) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc tptp.c_0)))))
% 1.76/1.97  (assume a1871 (forall ((V_v_H $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Divides_Oop_Amod (tptp.c_Suc tptp.c_0) (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_nat) tptp.tc_nat) (tptp.c_IntDef_Onat (tptp.c_Divides_Oop_Amod tptp.c_1 (tptp.c_Numeral_Onumber__of V_v_H tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))))
% 1.76/1.97  (assume a1872 (forall ((T_a $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (= (tptp.c_Nat_Opower tptp.c_1 (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) T_a) tptp.c_1))))
% 1.76/1.97  (assume a1873 (forall ((T_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Power_Orecpower T_b)) (= (tptp.c_Nat_Opower (tptp.c_Numeral_Onumber__of V_w T_b) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_w T_b) (tptp.c_Numeral_Onumber__of V_w T_b) T_b)))))
% 1.76/1.97  (assume a1874 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (= (tptp.c_Nat_Opower (tptp.c_uminus V_a T_a) (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) V_n tptp.tc_nat) T_a) (tptp.c_Nat_Opower V_a (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) V_n tptp.tc_nat) T_a)))))
% 1.76/1.97  (assume a1875 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Nat_Opower (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)))))
% 1.76/1.97  (assume a1876 (forall ((V_v $$unsorted) (V_w $$unsorted)) (or (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (= (tptp.c_Nat_Opower (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_IntDef_Onat (tptp.c_Nat_Opower (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_IntDef_Oint))))))
% 1.76/1.97  (assume a1877 (forall ((T_a $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (= (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) T_a) tptp.c_0))))
% 1.76/1.97  (assume a1878 (forall ((V_m $$unsorted) (V_v $$unsorted)) (= (tptp.c_div (tptp.c_Suc (tptp.c_Suc (tptp.c_Suc V_m))) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat) (tptp.c_div (tptp.c_plus (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB1) tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1879 (forall ((V_m $$unsorted) (V_v $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Suc (tptp.c_Suc (tptp.c_Suc V_m))) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Oop_Amod (tptp.c_plus (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB1) tptp.tc_nat) V_m tptp.tc_nat) (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1880 (forall ((V_n $$unsorted)) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_Suc V_n)))))
% 1.76/1.97  (assume a1881 (forall ((V_n $$unsorted)) (= (tptp.c_plus V_n (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_Suc V_n)))))
% 1.76/1.97  (assume a1882 (forall ((V_y $$unsorted)) (= (tptp.c_div (tptp.c_plus V_y V_y tptp.tc_nat) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) V_y)))
% 1.76/1.97  (assume a1883 (forall ((V_m $$unsorted)) (= (tptp.c_div (tptp.c_Suc (tptp.c_Suc V_m)) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc (tptp.c_div V_m (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat)))))
% 1.76/1.97  (assume a1884 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_div V_m (tptp.c_Suc (tptp.c_Suc (tptp.c_Suc V_n))) tptp.tc_nat) (tptp.c_div V_m (tptp.c_plus (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB1) tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1885 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (= V_b (tptp.c_times (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (= (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0))))
% 1.76/1.97  (assume a1886 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (not (= (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0)) (= (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) tptp.c_0))))
% 1.76/1.97  (assume a1887 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (= (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0) (= (tptp.c_divide (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a))))
% 1.76/1.97  (assume a1888 (forall ((T_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (= (tptp.c_divide (tptp.c_times tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_Numeral_Onumber__of V_w T_b) T_b) tptp.c_0))))
% 1.76/1.97  (assume a1889 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1890 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_lessequals tptp.c_0 V_b T_b) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b))))
% 1.76/1.97  (assume a1891 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_lessequals V_b tptp.c_0 T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1892 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_lessequals V_b tptp.c_0 T_b) (tptp.c_lessequals tptp.c_0 V_b T_b))))
% 1.76/1.97  (assume a1893 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_b tptp.c_0 T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (tptp.c_lessequals (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1894 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 V_b T_b)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (tptp.c_lessequals (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1895 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (not (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b)) (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1896 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b))))
% 1.76/1.97  (assume a1897 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_lessequals tptp.c_0 V_a T_b))))
% 1.76/1.97  (assume a1898 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 V_a T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1899 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1900 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 V_a T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1901 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1902 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_lessequals tptp.c_0 V_a T_b)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1903 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1904 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_lessequals tptp.c_0 V_a T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_lessequals (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1905 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1906 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_less tptp.c_0 V_b T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b))))
% 1.76/1.97  (assume a1907 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_less V_b tptp.c_0 T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1908 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b)) (tptp.c_less V_b tptp.c_0 T_b) (tptp.c_less tptp.c_0 V_b T_b))))
% 1.76/1.97  (assume a1909 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b tptp.c_0 T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (tptp.c_less (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1910 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 V_b T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (tptp.c_less (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1911 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (not (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b)) (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1912 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b))))
% 1.76/1.97  (assume a1913 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b)) (tptp.c_less tptp.c_0 V_a T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1914 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 V_a T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1915 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1916 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 V_a T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1917 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1918 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less tptp.c_0 V_a T_b)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1919 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1920 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less tptp.c_0 V_a T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1921 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide V_x (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) T_a) (tptp.c_uminus V_x T_a)))))
% 1.76/1.97  (assume a1922 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (= (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0) (= (tptp.c_times (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b))))
% 1.76/1.97  (assume a1923 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (not (= (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0)) (= tptp.c_0 (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b)))))
% 1.76/1.97  (assume a1924 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (= V_a (tptp.c_divide (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (= (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0))))
% 1.76/1.97  (assume a1925 (forall ((T_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (= tptp.c_0 (tptp.c_divide (tptp.c_times tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_Numeral_Onumber__of V_w T_b) T_b)))))
% 1.76/1.97  (assume a1926 (forall ((T_b $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Oab__group__add T_b)) (not (= (tptp.c_uminus V_b T_b) tptp.c_1)) (= V_b (tptp.c_uminus tptp.c_1 T_b)))))
% 1.76/1.97  (assume a1927 (forall ((T_b $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Oab__group__add T_b)) (= (tptp.c_uminus (tptp.c_uminus tptp.c_1 T_b) T_b) tptp.c_1))))
% 1.76/1.97  (assume a1928 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Oab__group__add T_b)) (not (= (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_uminus V_b T_b))) (= V_b (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b)))))
% 1.76/1.97  (assume a1929 (forall ((T_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Oab__group__add T_b)) (= (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_uminus (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)))))
% 1.76/1.97  (assume a1930 (forall ((T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_r T_a)) (tptp.c_less tptp.c_0 (tptp.c_divide V_r (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) T_a) T_a) T_a))))
% 1.76/1.97  (assume a1931 (forall ((T_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Ofield T_b)) (= (tptp.c_HOL_Oinverse (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_divide tptp.c_1 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)))))
% 1.76/1.97  (assume a1932 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (not (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b))))
% 1.76/1.97  (assume a1933 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1934 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_lessequals V_a tptp.c_0 T_b))))
% 1.76/1.97  (assume a1935 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_a tptp.c_0 T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1936 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1937 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_a tptp.c_0 T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1938 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1939 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_a tptp.c_0 T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b) (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1940 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1941 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_a tptp.c_0 T_b)) (not (tptp.c_lessequals V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_lessequals V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1942 (forall ((T_b $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals tptp.c_1 (tptp.c_uminus V_b T_b) T_b)) (tptp.c_lessequals V_b (tptp.c_uminus tptp.c_1 T_b) T_b))))
% 1.76/1.97  (assume a1943 (forall ((T_b $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals V_b (tptp.c_uminus tptp.c_1 T_b) T_b)) (tptp.c_lessequals tptp.c_1 (tptp.c_uminus V_b T_b) T_b))))
% 1.76/1.97  (assume a1944 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_uminus V_b T_b) T_b)) (tptp.c_lessequals V_b (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b))))
% 1.76/1.97  (assume a1945 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals V_b (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_uminus V_b T_b) T_b))))
% 1.76/1.97  (assume a1946 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oring T_b)) (= (tptp.c_times (tptp.c_minus V_a V_b T_b) (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_minus (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)))))
% 1.76/1.97  (assume a1947 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Osemiring T_b)) (= (tptp.c_times (tptp.c_plus V_a V_b T_b) (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_plus (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)))))
% 1.76/1.97  (assume a1948 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b))))
% 1.76/1.97  (assume a1949 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b))))
% 1.76/1.97  (assume a1950 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_less V_a tptp.c_0 T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1951 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_a tptp.c_0 T_b)) (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1952 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b))))
% 1.76/1.97  (assume a1953 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_a tptp.c_0 T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b))))
% 1.76/1.97  (assume a1954 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1955 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_a tptp.c_0 T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1956 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1957 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_a tptp.c_0 T_b)) (not (tptp.c_less V_b (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_w T_b) T_b) V_b T_b)) (tptp.c_less V_a (tptp.c_divide V_b (tptp.c_Numeral_Onumber__of V_w T_b) T_b) T_b))))
% 1.76/1.97  (assume a1958 (forall ((T_b $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less tptp.c_1 (tptp.c_uminus V_b T_b) T_b)) (tptp.c_less V_b (tptp.c_uminus tptp.c_1 T_b) T_b))))
% 1.76/1.97  (assume a1959 (forall ((T_b $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less V_b (tptp.c_uminus tptp.c_1 T_b) T_b)) (tptp.c_less tptp.c_1 (tptp.c_uminus V_b T_b) T_b))))
% 1.76/1.97  (assume a1960 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_uminus V_b T_b) T_b)) (tptp.c_less V_b (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b))))
% 1.76/1.97  (assume a1961 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less V_b (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_uminus V_b T_b) T_b))))
% 1.76/1.97  (assume a1962 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) V_x T_a) (tptp.c_uminus (tptp.c_divide tptp.c_1 V_x T_a) T_a)))))
% 1.76/1.97  (assume a1963 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Oab__group__add T_b)) (not (= (tptp.c_uminus V_a T_b) (tptp.c_Numeral_Onumber__of V_v T_b))) (= (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) V_a))))
% 1.76/1.97  (assume a1964 (forall ((T_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Oab__group__add T_b)) (= (tptp.c_uminus (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b) (tptp.c_Numeral_Onumber__of V_v T_b)))))
% 1.76/1.97  (assume a1965 (forall ((T_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals (tptp.c_uminus V_a T_b) tptp.c_1 T_b)) (tptp.c_lessequals (tptp.c_uminus tptp.c_1 T_b) V_a T_b))))
% 1.76/1.97  (assume a1966 (forall ((T_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals (tptp.c_uminus tptp.c_1 T_b) V_a T_b)) (tptp.c_lessequals (tptp.c_uminus V_a T_b) tptp.c_1 T_b))))
% 1.76/1.97  (assume a1967 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals (tptp.c_uminus V_a T_b) (tptp.c_Numeral_Onumber__of V_v T_b) T_b)) (tptp.c_lessequals (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1968 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_lessequals (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) V_a T_b)) (tptp.c_lessequals (tptp.c_uminus V_a T_b) (tptp.c_Numeral_Onumber__of V_v T_b) T_b))))
% 1.76/1.97  (assume a1969 (forall ((T_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less (tptp.c_uminus V_a T_b) tptp.c_1 T_b)) (tptp.c_less (tptp.c_uminus tptp.c_1 T_b) V_a T_b))))
% 1.76/1.97  (assume a1970 (forall ((T_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_HOL_Oone T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less (tptp.c_uminus tptp.c_1 T_b) V_a T_b)) (tptp.c_less (tptp.c_uminus V_a T_b) tptp.c_1 T_b))))
% 1.76/1.97  (assume a1971 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less (tptp.c_uminus V_a T_b) (tptp.c_Numeral_Onumber__of V_v T_b) T_b)) (tptp.c_less (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) V_a T_b))))
% 1.76/1.97  (assume a1972 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_b)) (not (tptp.c_less (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_v T_b) T_b) V_a T_b)) (tptp.c_less (tptp.c_uminus V_a T_b) (tptp.c_Numeral_Onumber__of V_v T_b) T_b))))
% 1.76/1.97  (assume a1973 (forall ((V_m $$unsorted)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Suc (tptp.c_Suc V_m)) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Oop_Amod V_m (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1974 (forall ((V_m $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Divides_Oop_Amod V_m (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_Divides_Oop_Amod V_m (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) tptp.c_1))))
% 1.76/1.97  (assume a1975 (forall ((V_m $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod V_m (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) tptp.c_1)) (tptp.c_less tptp.c_0 (tptp.c_Divides_Oop_Amod V_m (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1976 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Divides_Oop_Amod V_m (tptp.c_Suc (tptp.c_Suc (tptp.c_Suc V_n))) tptp.tc_nat) (tptp.c_Divides_Oop_Amod V_m (tptp.c_plus (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB1) tptp.tc_nat) V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a1977 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b)) (not (tptp.c_lessequals (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b)) (tptp.c_lessequals V_a V_b T_b))))
% 1.76/1.97  (assume a1978 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b)) (tptp.c_lessequals V_b V_a T_b))))
% 1.76/1.97  (assume a1979 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b) (tptp.c_lessequals (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a1980 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_lessequals V_b V_a T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_lessequals (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a1981 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_lessequals V_a V_b T_b)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b) (tptp.c_lessequals (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a1982 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_lessequals V_b V_a T_b)) (not (tptp.c_lessequals V_a V_b T_b)) (tptp.c_lessequals (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a1983 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)) (tptp.c_lessequals V_a V_b T_b))))
% 1.76/1.97  (assume a1984 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b)) (not (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)) (tptp.c_lessequals V_b V_a T_b))))
% 1.76/1.97  (assume a1985 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b) (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b))))
% 1.76/1.97  (assume a1986 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_lessequals V_b V_a T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b))))
% 1.76/1.97  (assume a1987 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_lessequals V_a V_b T_b)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b) (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b))))
% 1.76/1.97  (assume a1988 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_lessequals V_b V_a T_b)) (not (tptp.c_lessequals V_a V_b T_b)) (tptp.c_lessequals (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b))))
% 1.76/1.97  (assume a1989 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b)) (tptp.c_less V_a V_b T_b))))
% 1.76/1.97  (assume a1990 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b)) (tptp.c_less V_b V_a T_b))))
% 1.76/1.97  (assume a1991 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (tptp.c_less (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1992 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less V_b V_a T_b)) (tptp.c_less (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b))))
% 1.76/1.97  (assume a1993 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less V_a V_b T_b)) (tptp.c_less (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1994 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less V_b V_a T_b)) (not (tptp.c_less V_a V_b T_b)) (tptp.c_less (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_a T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a1995 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b)) (tptp.c_less V_a V_b T_b))))
% 1.76/1.97  (assume a1996 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b)) (tptp.c_less V_b V_a T_b))))
% 1.76/1.97  (assume a1997 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a1998 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less V_b V_a T_b)) (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_v T_b) T_b))))
% 1.76/1.97  (assume a1999 (forall ((T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less V_a V_b T_b)) (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_v T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a2000 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_v $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_b)) (not (tptp.c_less V_b V_a T_b)) (not (tptp.c_less V_a V_b T_b)) (tptp.c_less (tptp.c_times V_a (tptp.c_Numeral_Onumber__of V_v T_b) T_b) (tptp.c_times V_b (tptp.c_Numeral_Onumber__of V_v T_b) T_b) T_b))))
% 1.76/1.97  (assume a2001 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Oring T_b)) (= (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_minus V_b V_c T_b) T_b) (tptp.c_minus (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_c T_b) T_b)))))
% 1.76/1.97  (assume a2002 (forall ((T_b $$unsorted) (V_v $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Osemiring T_b)) (= (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) (tptp.c_plus V_b V_c T_b) T_b) (tptp.c_plus (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_b T_b) (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_b) V_c T_b) T_b)))))
% 1.76/1.97  (assume a2003 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a2004 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_lessequals V_b tptp.c_0 T_b) (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b))))
% 1.76/1.97  (assume a2005 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_lessequals tptp.c_0 V_b T_b) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a2006 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_lessequals V_b tptp.c_0 T_b) (tptp.c_lessequals tptp.c_0 V_b T_b))))
% 1.76/1.97  (assume a2007 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals tptp.c_0 V_b T_b)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a2008 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_lessequals V_b tptp.c_0 T_b)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (tptp.c_lessequals tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a2009 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a2010 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_less V_b tptp.c_0 T_b) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b))))
% 1.76/1.97  (assume a2011 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_less tptp.c_0 V_b T_b) (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b))))
% 1.76/1.97  (assume a2012 (forall ((T_b $$unsorted) (V_w $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b)) (tptp.c_less V_b tptp.c_0 T_b) (tptp.c_less tptp.c_0 V_b T_b))))
% 1.76/1.97  (assume a2013 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less tptp.c_0 V_b T_b)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w T_b) T_b)) (tptp.c_less tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a2014 (forall ((T_b $$unsorted) (V_b $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber T_b)) (not (tptp.class_Ring__and__Field_Odivision__by__zero T_b)) (not (tptp.class_Ring__and__Field_Oordered__field T_b)) (not (tptp.c_less V_b tptp.c_0 T_b)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_w T_b) tptp.c_0 T_b)) (tptp.c_less tptp.c_0 (tptp.c_divide (tptp.c_Numeral_Onumber__of V_w T_b) V_b T_b) T_b))))
% 1.76/1.97  (assume a2015 (= tptp.c_1 (tptp.c_Suc tptp.c_0)))
% 1.76/1.97  (assume a2016 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc V_m) (tptp.c_Suc V_n))) (= V_m V_n))))
% 1.76/1.97  (assume a2017 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (= (tptp.c_minus (tptp.c_minus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc V_k) tptp.tc_nat) (tptp.c_minus (tptp.c_minus V_m V_n tptp.tc_nat) V_k tptp.tc_nat))))
% 1.76/1.97  (assume a2018 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat)) (tptp.c_lessequals V_n V_m tptp.tc_nat))))
% 1.76/1.97  (assume a2019 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat))))
% 1.76/1.97  (assume a2020 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a2021 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (tptp.c_less (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat))))
% 1.76/1.97  (assume a2022 (forall ((V_m $$unsorted)) (not (= (tptp.c_Suc V_m) tptp.c_0))))
% 1.76/1.97  (assume a2023 (forall ((V_y $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_y tptp.tc_nat)) (= (tptp.c_Suc (tptp.c_minus V_y (tptp.c_Suc tptp.c_0) tptp.tc_nat)) V_y))))
% 1.76/1.97  (assume a2024 (forall ((V_m $$unsorted)) (not (= tptp.c_0 (tptp.c_Suc V_m)))))
% 1.76/1.97  (assume a2025 (forall ((V_y $$unsorted)) (= (tptp.c_plus V_y tptp.c_0 tptp.tc_nat) V_y)))
% 1.76/1.97  (assume a2026 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_plus V_m (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_Suc (tptp.c_plus V_m V_n tptp.tc_nat)))))
% 1.76/1.97  (assume a2027 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_n tptp.tc_nat) (tptp.c_less tptp.c_0 V_m tptp.tc_nat))))
% 1.76/1.97  (assume a2028 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_m tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a2029 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a2030 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_plus V_m V_n tptp.tc_nat) tptp.c_0)) (= V_m tptp.c_0))))
% 1.76/1.97  (assume a2031 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_plus V_m V_n tptp.tc_nat) tptp.c_0)) (= V_n tptp.c_0))))
% 1.76/1.97  (assume a2032 (= (tptp.c_plus tptp.c_0 tptp.c_0 tptp.tc_nat) tptp.c_0))
% 1.76/1.97  (assume a2033 (forall ((V_n $$unsorted)) (= (tptp.c_minus tptp.c_0 V_n tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a2034 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_minus (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_minus V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a2035 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_less (tptp.c_minus V_n (tptp.c_Suc V_i) tptp.tc_nat) V_n tptp.tc_nat))))
% 1.76/1.97  (assume a2036 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_minus (tptp.c_minus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_minus V_i (tptp.c_plus V_j V_k tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.97  (assume a2037 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_minus V_m V_n tptp.tc_nat) tptp.c_0)) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.76/1.97  (assume a2038 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (= (tptp.c_minus V_m V_n tptp.tc_nat) tptp.c_0))))
% 1.76/1.97  (assume a2039 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 1.76/1.97  (assume a2040 (forall ((V_m $$unsorted)) (= (tptp.c_minus V_m V_m tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a2041 (forall ((V_i $$unsorted)) (or (not (tptp.c_lessequals V_i tptp.c_0 tptp.tc_nat)) (= V_i tptp.c_0))))
% 1.76/1.97  (assume a2042 (tptp.c_lessequals tptp.c_0 tptp.c_0 tptp.tc_nat))
% 1.76/1.97  (assume a2043 (forall ((V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_lessequals V_n V_y tptp.tc_nat)) (= (tptp.c_plus (tptp.c_minus V_y V_n tptp.tc_nat) V_n tptp.tc_nat) V_y))))
% 1.76/1.97  (assume a2044 (forall ((V_n $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_lessequals V_n V_y tptp.tc_nat)) (= (tptp.c_plus V_n (tptp.c_minus V_y V_n tptp.tc_nat) tptp.tc_nat) V_y))))
% 1.76/1.97  (assume a2045 (forall ((V_n $$unsorted)) (or (not (tptp.c_less V_n (tptp.c_Suc tptp.c_0) tptp.tc_nat)) (= V_n tptp.c_0))))
% 1.76/1.97  (assume a2046 (tptp.c_less tptp.c_0 (tptp.c_Suc tptp.c_0) tptp.tc_nat))
% 1.76/1.97  (assume a2047 (forall ((V_n $$unsorted)) (or (not (tptp.c_less V_n tptp.c_1 tptp.tc_nat)) (= V_n tptp.c_0))))
% 1.76/1.97  (assume a2048 (tptp.c_less tptp.c_0 tptp.c_1 tptp.tc_nat))
% 1.76/1.97  (assume a2049 (forall ((V_y $$unsorted)) (= (tptp.c_Orderings_Omax tptp.c_0 V_y tptp.tc_nat) V_y)))
% 1.76/1.97  (assume a2050 (forall ((V_y $$unsorted)) (= (tptp.c_Orderings_Omax V_y tptp.c_0 tptp.tc_nat) V_y)))
% 1.76/1.97  (assume a2051 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Orderings_Omax (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Omax V_m V_n tptp.tc_nat)))))
% 1.76/1.97  (assume a2052 (forall ((V_n $$unsorted)) (= (tptp.c_Orderings_Omin tptp.c_0 V_n tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a2053 (forall ((V_n $$unsorted)) (= (tptp.c_Orderings_Omin V_n tptp.c_0 tptp.tc_nat) tptp.c_0)))
% 1.76/1.97  (assume a2054 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_Orderings_Omin (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Omin V_m V_n tptp.tc_nat)))))
% 1.76/1.98  (assume a2055 (forall ((V_m $$unsorted)) (= (tptp.c_times V_m tptp.c_0 tptp.tc_nat) tptp.c_0)))
% 1.76/1.98  (assume a2056 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_times V_m (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_plus V_m (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2057 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_times V_k V_m tptp.tc_nat) (tptp.c_times V_k V_n tptp.tc_nat))) (= V_m V_n) (= V_k tptp.c_0))))
% 1.76/1.98  (assume a2058 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_times tptp.c_0 V_m tptp.tc_nat) (tptp.c_times tptp.c_0 V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2059 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_times V_m V_k tptp.tc_nat) (tptp.c_times V_n V_k tptp.tc_nat))) (= V_m V_n) (= V_k tptp.c_0))))
% 1.76/1.98  (assume a2060 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_times V_m tptp.c_0 tptp.tc_nat) (tptp.c_times V_n tptp.c_0 tptp.tc_nat))))
% 1.76/1.98  (assume a2061 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_times V_m V_n tptp.tc_nat) (tptp.c_Suc tptp.c_0))) (= V_m tptp.c_1))))
% 1.76/1.98  (assume a2062 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_times V_m V_n tptp.tc_nat) (tptp.c_Suc tptp.c_0))) (= V_n tptp.c_1))))
% 1.76/1.98  (assume a2063 (= (tptp.c_times tptp.c_1 tptp.c_1 tptp.tc_nat) (tptp.c_Suc tptp.c_0)))
% 1.76/1.98  (assume a2064 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_times V_m V_n tptp.tc_nat) tptp.c_0)) (= V_n tptp.c_0) (= V_m tptp.c_0))))
% 1.76/1.98  (assume a2065 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_k tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_times V_k V_m tptp.tc_nat) (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2066 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_less tptp.c_0 V_k tptp.tc_nat) (tptp.c_lessequals (tptp.c_times V_k V_m tptp.tc_nat) (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2067 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (tptp.c_lessequals (tptp.c_times V_k V_m tptp.tc_nat) (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2068 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_k tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_times V_m V_k tptp.tc_nat) (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat)) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2069 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (tptp.c_less tptp.c_0 V_k tptp.tc_nat) (tptp.c_lessequals (tptp.c_times V_m V_k tptp.tc_nat) (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2070 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (tptp.c_lessequals (tptp.c_times V_m V_k tptp.tc_nat) (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2071 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_times V_k V_m tptp.tc_nat) (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_k tptp.tc_nat))))
% 1.76/1.98  (assume a2072 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_times V_k V_m tptp.tc_nat) (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2073 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (not (tptp.c_less tptp.c_0 V_k tptp.tc_nat)) (tptp.c_less (tptp.c_times V_k V_m tptp.tc_nat) (tptp.c_times V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2074 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_times V_m V_k tptp.tc_nat) (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_k tptp.tc_nat))))
% 1.76/1.98  (assume a2075 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_times V_m V_k tptp.tc_nat) (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2076 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (not (tptp.c_less tptp.c_0 V_k tptp.tc_nat)) (tptp.c_less (tptp.c_times V_m V_k tptp.tc_nat) (tptp.c_times V_n V_k tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2077 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_m tptp.tc_nat))))
% 1.76/1.98  (assume a2078 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2079 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (not (tptp.c_less tptp.c_0 V_m tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2080 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_plus V_k V_m tptp.tc_nat) (tptp.c_plus V_k V_n tptp.tc_nat))) (= V_m V_n))))
% 1.76/1.98  (assume a2081 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_plus V_k V_m tptp.tc_nat) (tptp.c_plus V_k V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2082 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (tptp.c_lessequals (tptp.c_plus V_k V_m tptp.tc_nat) (tptp.c_plus V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2083 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_plus V_k V_m tptp.tc_nat) (tptp.c_plus V_k V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2084 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (tptp.c_less (tptp.c_plus V_k V_m tptp.tc_nat) (tptp.c_plus V_k V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2085 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_plus V_m V_k tptp.tc_nat) (tptp.c_plus V_n V_k tptp.tc_nat))) (= V_m V_n))))
% 1.76/1.98  (assume a2086 (forall ((V_i $$unsorted) (V_j $$unsorted)) (not (tptp.c_less (tptp.c_plus V_i V_j tptp.tc_nat) V_i tptp.tc_nat))))
% 1.76/1.98  (assume a2087 (forall ((V_j $$unsorted) (V_i $$unsorted)) (not (tptp.c_less (tptp.c_plus V_j V_i tptp.tc_nat) V_i tptp.tc_nat))))
% 1.76/1.98  (assume a2088 (forall ((V_n $$unsorted)) (or (tptp.c_less tptp.c_0 V_n tptp.tc_nat) (= V_n tptp.c_0))))
% 1.76/1.98  (assume a2089 (not (tptp.c_less tptp.c_0 tptp.c_0 tptp.tc_nat)))
% 1.76/1.98  (assume a2090 (forall ((V_n $$unsorted)) (not (tptp.c_less V_n tptp.c_0 tptp.tc_nat))))
% 1.76/1.98  (assume a2091 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc tptp.c_0) (tptp.c_times V_m V_n tptp.tc_nat))) (= V_m tptp.c_1))))
% 1.76/1.98  (assume a2092 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc tptp.c_0) (tptp.c_times V_m V_n tptp.tc_nat))) (= V_n tptp.c_1))))
% 1.76/1.98  (assume a2093 (= (tptp.c_Suc tptp.c_0) (tptp.c_times tptp.c_1 tptp.c_1 tptp.tc_nat)))
% 1.76/1.98  (assume a2094 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Suc tptp.c_0) (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_lessequals tptp.c_1 V_m tptp.tc_nat))))
% 1.76/1.98  (assume a2095 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Suc tptp.c_0) (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_lessequals tptp.c_1 V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2096 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals tptp.c_1 V_n tptp.tc_nat)) (not (tptp.c_lessequals tptp.c_1 V_m tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Suc tptp.c_0) (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2097 (forall ((V_n $$unsorted)) (= (tptp.c_times tptp.c_0 V_n tptp.tc_nat) tptp.c_0)))
% 1.76/1.98  (assume a2098 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_times (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_plus V_n (tptp.c_times V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2099 (forall ((V_y $$unsorted)) (= (tptp.c_plus tptp.c_0 V_y tptp.tc_nat) V_y)))
% 1.76/1.98  (assume a2100 (forall ((V_m $$unsorted) (V_n $$unsorted)) (= (tptp.c_plus (tptp.c_Suc V_m) V_n tptp.tc_nat) (tptp.c_Suc (tptp.c_plus V_m V_n tptp.tc_nat)))))
% 1.76/1.98  (assume a2101 (forall ((V_y $$unsorted)) (= (tptp.c_minus V_y tptp.c_0 tptp.tc_nat) V_y)))
% 1.76/1.98  (assume a2102 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_minus V_n V_m tptp.tc_nat) tptp.tc_nat)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2103 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_minus V_n V_m tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2104 (= (tptp.c_Numeral_OBit tptp.c_Numeral_OMin tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_OMin))
% 1.76/1.98  (assume a2105 (= (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB0) tptp.c_Numeral_OPls))
% 1.76/1.98  (assume a2106 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_c $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v T_a) (tptp.c_minus V_c (tptp.c_Numeral_Onumber__of V_w T_a) T_a) T_a) (tptp.c_plus (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_w)) T_a) V_c T_a)))))
% 1.76/1.98  (assume a2107 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v T_a) (tptp.c_plus (tptp.c_Numeral_Onumber__of V_w T_a) V_z T_a) T_a) (tptp.c_plus (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v V_w) T_a) V_z T_a)))))
% 1.76/1.98  (assume a2108 (forall ((V_v $$unsorted) (V_w $$unsorted) (V_y $$unsorted)) (= (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit V_v tptp.c_Numeral_Obit_OB0) (tptp.c_Numeral_OBit V_w V_y)) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__add V_v V_w) V_y))))
% 1.76/1.98  (assume a2109 (forall ((V_v $$unsorted) (V_w $$unsorted)) (= (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit V_v tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0)) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__add V_v V_w) tptp.c_Numeral_Obit_OB1))))
% 1.76/1.98  (assume a2110 (forall ((V_v $$unsorted) (V_w $$unsorted)) (= (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit V_v tptp.c_Numeral_Obit_OB1) (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB1)) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__succ V_w)) tptp.c_Numeral_Obit_OB0))))
% 1.76/1.98  (assume a2111 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__add tptp.c_Numeral_OMin V_w) (tptp.c_Numeral_Obin__pred V_w))))
% 1.76/1.98  (assume a2112 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__add V_w tptp.c_Numeral_OMin) (tptp.c_Numeral_Obin__pred V_w))))
% 1.76/1.98  (assume a2113 (forall ((V_y $$unsorted)) (= (tptp.c_Numeral_Obin__add tptp.c_Numeral_OPls V_y) V_y)))
% 1.76/1.98  (assume a2114 (forall ((V_y $$unsorted)) (= (tptp.c_Numeral_Obin__add V_y tptp.c_Numeral_OPls) V_y)))
% 1.76/1.98  (assume a2115 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_plus (tptp.c_Numeral_Onumber__of V_v T_a) (tptp.c_Numeral_Onumber__of V_w T_a) T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v V_w) T_a)))))
% 1.76/1.98  (assume a2116 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w T_a) T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__minus V_w) T_a)))))
% 1.76/1.98  (assume a2117 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_uminus tptp.c_1 T_a) (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a)))))
% 1.76/1.98  (assume a2118 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_a) (tptp.c_Numeral_Onumber__of V_w T_a) T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__mult V_v V_w) T_a)))))
% 1.76/1.98  (assume a2119 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_minus (tptp.c_Numeral_Onumber__of V_v T_a) (tptp.c_Numeral_Onumber__of V_w T_a) T_a) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_v (tptp.c_Numeral_Obin__minus V_w)) T_a)))))
% 1.76/1.98  (assume a2120 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs (tptp.c_Numeral_Onumber__of V_x T_a) T_a) (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_x T_a) T_a)))))
% 1.76/1.98  (assume a2121 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) tptp.c_0 T_a) (= (tptp.c_HOL_Oabs (tptp.c_Numeral_Onumber__of V_x T_a) T_a) (tptp.c_Numeral_Onumber__of V_x T_a)))))
% 1.76/1.98  (assume a2122 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0)) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__minus V_w) tptp.c_Numeral_Obit_OB0))))
% 1.76/1.98  (assume a2123 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__minus (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB1)) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__pred (tptp.c_Numeral_Obin__minus V_w)) tptp.c_Numeral_Obit_OB1))))
% 1.76/1.98  (assume a2124 (= (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OMin) (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1)))
% 1.76/1.98  (assume a2125 (= (tptp.c_Numeral_Obin__minus tptp.c_Numeral_OPls) tptp.c_Numeral_OPls))
% 1.76/1.98  (assume a2126 (forall ((V_v $$unsorted) (V_w $$unsorted)) (= (tptp.c_Numeral_Obin__mult (tptp.c_Numeral_OBit V_v tptp.c_Numeral_Obit_OB0) V_w) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__mult V_v V_w) tptp.c_Numeral_Obit_OB0))))
% 1.76/1.98  (assume a2127 (forall ((V_v $$unsorted) (V_w $$unsorted)) (= (tptp.c_Numeral_Obin__mult (tptp.c_Numeral_OBit V_v tptp.c_Numeral_Obit_OB1) V_w) (tptp.c_Numeral_Obin__add (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__mult V_v V_w) tptp.c_Numeral_Obit_OB0) V_w))))
% 1.76/1.98  (assume a2128 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__mult tptp.c_Numeral_OMin V_w) (tptp.c_Numeral_Obin__minus V_w))))
% 1.76/1.98  (assume a2129 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__mult tptp.c_Numeral_OPls V_w) tptp.c_Numeral_OPls)))
% 1.76/1.98  (assume a2130 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__pred (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0)) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__pred V_w) tptp.c_Numeral_Obit_OB1))))
% 1.76/1.98  (assume a2131 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__pred (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB1)) (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0))))
% 1.76/1.98  (assume a2132 (= (tptp.c_Numeral_Obin__pred tptp.c_Numeral_OMin) (tptp.c_Numeral_OBit tptp.c_Numeral_OMin tptp.c_Numeral_Obit_OB0)))
% 1.76/1.98  (assume a2133 (= (tptp.c_Numeral_Obin__pred tptp.c_Numeral_OPls) tptp.c_Numeral_OMin))
% 1.76/1.98  (assume a2134 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T_a)) (not (tptp.c_IntDef_Oiszero tptp.c_1 T_a)))))
% 1.76/1.98  (assume a2135 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) T_a))))
% 1.76/1.98  (assume a2136 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w V_x) T_a) T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_w T_a) T_a))))
% 1.76/1.98  (assume a2137 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of V_w T_a) T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w V_x) T_a) T_a))))
% 1.76/1.98  (assume a2138 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_y (tptp.c_Numeral_Obin__minus V_x)) T_a) T_a)) (not (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_x T_a) (tptp.c_Numeral_Onumber__of V_y T_a) T_a)))))
% 1.76/1.98  (assume a2139 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_y (tptp.c_Numeral_Obin__minus V_x)) T_a) T_a) (tptp.c_lessequals (tptp.c_Numeral_Onumber__of V_x T_a) (tptp.c_Numeral_Onumber__of V_y T_a) T_a))))
% 1.76/1.98  (assume a2140 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (= (tptp.c_Numeral_Onumber__of V_x T_a) (tptp.c_Numeral_Onumber__of V_y T_a))) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a))))
% 1.76/1.98  (assume a2141 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a)) (= (tptp.c_Numeral_Onumber__of V_x T_a) (tptp.c_Numeral_Onumber__of V_y T_a)))))
% 1.76/1.98  (assume a2142 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OPls T_a) T_a))))
% 1.76/1.98  (assume a2143 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) T_a)))))
% 1.76/1.98  (assume a2144 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0) T_a) T_a)) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_w T_a) T_a))))
% 1.76/1.98  (assume a2145 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of V_w T_a) T_a)) (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0) T_a) T_a))))
% 1.76/1.98  (assume a2146 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oiszero (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB1) T_a) T_a)))))
% 1.76/1.98  (assume a2147 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) (tptp.c_Numeral_Onumber__of V_y T_a) T_a)) (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a))))
% 1.76/1.98  (assume a2148 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__add V_x (tptp.c_Numeral_Obin__minus V_y)) T_a) T_a)) (tptp.c_less (tptp.c_Numeral_Onumber__of V_x T_a) (tptp.c_Numeral_Onumber__of V_y T_a) T_a))))
% 1.76/1.98  (assume a2149 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OPls T_a) T_a)))))
% 1.76/1.98  (assume a2150 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2151 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_IntDef_Oneg tptp.c_1 T_a)))))
% 1.76/1.98  (assume a2152 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__succ (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB0)) (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB1))))
% 1.76/1.98  (assume a2153 (forall ((V_w $$unsorted)) (= (tptp.c_Numeral_Obin__succ (tptp.c_Numeral_OBit V_w tptp.c_Numeral_Obit_OB1)) (tptp.c_Numeral_OBit (tptp.c_Numeral_Obin__succ V_w) tptp.c_Numeral_Obit_OB0))))
% 1.76/1.98  (assume a2154 (= (tptp.c_Numeral_Obin__succ tptp.c_Numeral_OMin) tptp.c_Numeral_OPls))
% 1.76/1.98  (assume a2155 (= (tptp.c_Numeral_Obin__succ tptp.c_Numeral_OPls) (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1)))
% 1.76/1.98  (assume a2156 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Numeral_Obit_Obit__case V_y V_f2 tptp.c_Numeral_Obit_OB0 T_a) V_y)))
% 1.76/1.98  (assume a2157 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Numeral_Obit_Obit__case V_f1 V_y tptp.c_Numeral_Obit_OB1 T_a) V_y)))
% 1.76/1.98  (assume a2158 (not (= tptp.c_Numeral_Obit_OB0 tptp.c_Numeral_Obit_OB1)))
% 1.76/1.98  (assume a2159 (not (= tptp.c_Numeral_Obit_OB1 tptp.c_Numeral_Obit_OB0)))
% 1.76/1.98  (assume a2160 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Numeral_Obit_Obit__rec V_y V_f2 tptp.c_Numeral_Obit_OB0 T_a) V_y)))
% 1.76/1.98  (assume a2161 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Numeral_Obit_Obit__rec V_f1 V_y tptp.c_Numeral_Obit_OB1 T_a) V_y)))
% 1.76/1.98  (assume a2162 (= (tptp.c_Nat_Osize tptp.c_Numeral_Obit_OB0 tptp.tc_Numeral_Obit) tptp.c_0))
% 1.76/1.98  (assume a2163 (= (tptp.c_Nat_Osize tptp.c_Numeral_Obit_OB1 tptp.tc_Numeral_Obit) tptp.c_0))
% 1.76/1.98  (assume a2164 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_times (tptp.c_uminus (tptp.c_Numeral_Onumber__of V_w T_a) T_a) V_z T_a) (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__minus V_w) T_a) V_z T_a)))))
% 1.76/1.98  (assume a2165 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_times (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) V_z T_a) (tptp.c_uminus V_z T_a)))))
% 1.76/1.98  (assume a2166 (forall ((T_a $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_times V_z (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) T_a) (tptp.c_uminus V_z T_a)))))
% 1.76/1.98  (assume a2167 (forall ((T_a $$unsorted) (V_v $$unsorted) (V_w $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_times (tptp.c_Numeral_Onumber__of V_v T_a) (tptp.c_times (tptp.c_Numeral_Onumber__of V_w T_a) V_z T_a) T_a) (tptp.c_times (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_Obin__mult V_v V_w) T_a) V_z T_a)))))
% 1.76/1.98  (assume a2168 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OPls T_a) tptp.c_0))))
% 1.76/1.98  (assume a2169 (forall ((T_a $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (= (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) T_a) tptp.c_1))))
% 1.76/1.98  (assume a2170 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_uminus V_a T_a) V_a T_a) tptp.c_0))))
% 1.76/1.98  (assume a2171 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (= tptp.c_0 (tptp.c_HOL_Oabs V_a T_a))) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2172 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= tptp.c_0 (tptp.c_HOL_Oabs tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2173 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_plus (tptp.c_HOL_Oabs V_a T_a) (tptp.c_HOL_Oabs V_b T_a) T_a) T_a) (tptp.c_plus (tptp.c_HOL_Oabs V_a T_a) (tptp.c_HOL_Oabs V_b T_a) T_a)))))
% 1.76/1.98  (assume a2174 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (= (tptp.c_HOL_Oabs V_a T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2175 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2176 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))))
% 1.76/1.98  (assume a2177 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_HOL_Oabs V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))))
% 1.76/1.98  (assume a2178 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oabs V_a T_a) tptp.c_0 T_a)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2179 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals (tptp.c_HOL_Oabs tptp.c_0 T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2180 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))))
% 1.76/1.98  (assume a2181 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_less (tptp.c_HOL_Oabs V_a T_a) tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2182 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals tptp.c_0 V_y T_a)) (= (tptp.c_HOL_Oabs V_y T_a) V_y))))
% 1.76/1.98  (assume a2183 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))))
% 1.76/1.98  (assume a2184 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus V_y tptp.c_0 T_a) V_y))))
% 1.76/1.98  (assume a2185 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals (tptp.c_plus V_c V_a T_a) (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 1.76/1.98  (assume a2186 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_plus V_c V_a T_a) (tptp.c_plus V_c V_b T_a) T_a))))
% 1.76/1.98  (assume a2187 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 1.76/1.98  (assume a2188 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a))))
% 1.76/1.98  (assume a2189 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_plus V_a V_b T_a) (tptp.c_plus V_a V_c T_a))) (= V_b V_c))))
% 1.76/1.98  (assume a2190 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_less (tptp.c_plus V_c V_a T_a) (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_less V_a V_b T_a))))
% 1.76/1.98  (assume a2191 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_less V_a V_b T_a)) (tptp.c_less (tptp.c_plus V_c V_a T_a) (tptp.c_plus V_c V_b T_a) T_a))))
% 1.76/1.98  (assume a2192 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_less (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a)) (tptp.c_less V_a V_b T_a))))
% 1.76/1.98  (assume a2193 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_less V_a V_b T_a)) (tptp.c_less (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a))))
% 1.76/1.98  (assume a2194 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.c_plus V_b V_a T_a) (tptp.c_plus V_c V_a T_a))) (= V_b V_c))))
% 1.76/1.98  (assume a2195 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y))))
% 1.76/1.98  (assume a2196 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus tptp.c_0 V_a T_a) (tptp.c_uminus V_a T_a)))))
% 1.76/1.98  (assume a2197 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_y tptp.c_0 T_a) V_y))))
% 1.76/1.98  (assume a2198 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_minus V_a V_b T_a) tptp.c_0)) (= V_a V_b))))
% 1.76/1.98  (assume a2199 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 1.76/1.98  (assume a2200 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2201 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)) (tptp.c_less V_a V_b T_a))))
% 1.76/1.98  (assume a2202 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less V_a V_b T_a)) (tptp.c_less (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2203 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_plus V_a V_b T_a)))))
% 1.76/1.98  (assume a2204 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_a T_a) tptp.c_0))))
% 1.76/1.98  (assume a2205 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_a T_a) tptp.c_0 T_a)) (tptp.c_lessequals V_a tptp.c_0 T_a))))
% 1.76/1.98  (assume a2206 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (tptp.c_lessequals (tptp.c_plus V_a V_a T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2207 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less (tptp.c_plus V_a V_a T_a) tptp.c_0 T_a)) (tptp.c_less V_a tptp.c_0 T_a))))
% 1.76/1.98  (assume a2208 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (tptp.c_less (tptp.c_plus V_a V_a T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2209 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (= (tptp.c_LOrder_Ojoin V_a (tptp.c_uminus V_a T_a) T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2210 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (= (tptp.c_LOrder_Ojoin tptp.c_0 (tptp.c_uminus tptp.c_0 T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2211 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (= (tptp.c_LOrder_Omeet V_a (tptp.c_uminus V_a T_a) T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2212 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (= (tptp.c_LOrder_Omeet tptp.c_0 (tptp.c_uminus tptp.c_0 T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2213 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_plus V_a V_b T_a) T_a) (tptp.c_plus (tptp.c_uminus V_a T_a) (tptp.c_uminus V_b T_a) T_a)))))
% 1.76/1.98  (assume a2214 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))))
% 1.76/1.98  (assume a2215 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_uminus V_y T_a) T_a) V_y))))
% 1.76/1.98  (assume a2216 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_times tptp.c_1 V_y T_a) V_y))))
% 1.76/1.98  (assume a2217 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_times V_y tptp.c_1 T_a) V_y))))
% 1.76/1.98  (assume a2218 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= tptp.c_0 (tptp.c_uminus V_a T_a))) (= tptp.c_0 V_a))))
% 1.76/1.98  (assume a2219 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= tptp.c_0 (tptp.c_uminus tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2220 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_uminus V_a T_a) T_a)) (tptp.c_lessequals V_a tptp.c_0 T_a))))
% 1.76/1.98  (assume a2221 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_uminus V_a T_a) T_a))))
% 1.76/1.98  (assume a2222 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_uminus V_a T_a) T_a)) (tptp.c_less V_a tptp.c_0 T_a))))
% 1.76/1.98  (assume a2223 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (tptp.c_less tptp.c_0 (tptp.c_uminus V_a T_a) T_a))))
% 1.76/1.98  (assume a2224 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_uminus V_a T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2225 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2226 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_uminus V_a T_a) (tptp.c_uminus V_b T_a))) (= V_a V_b))))
% 1.76/1.98  (assume a2227 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (= (tptp.c_uminus (tptp.c_LOrder_Ojoin V_a V_b T_a) T_a) (tptp.c_LOrder_Omeet (tptp.c_uminus V_a T_a) (tptp.c_uminus V_b T_a) T_a)))))
% 1.76/1.98  (assume a2228 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_uminus V_a T_a) tptp.c_0 T_a)) (tptp.c_lessequals tptp.c_0 V_a T_a))))
% 1.76/1.98  (assume a2229 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals tptp.c_0 V_a T_a)) (tptp.c_lessequals (tptp.c_uminus V_a T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2230 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_uminus V_b T_a) (tptp.c_uminus V_a T_a) T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 1.76/1.98  (assume a2231 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_uminus V_b T_a) (tptp.c_uminus V_a T_a) T_a))))
% 1.76/1.98  (assume a2232 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less (tptp.c_uminus V_a T_a) tptp.c_0 T_a)) (tptp.c_less tptp.c_0 V_a T_a))))
% 1.76/1.98  (assume a2233 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (tptp.c_less (tptp.c_uminus V_a T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2234 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less (tptp.c_uminus V_b T_a) (tptp.c_uminus V_a T_a) T_a)) (tptp.c_less V_a V_b T_a))))
% 1.76/1.98  (assume a2235 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less V_a V_b T_a)) (tptp.c_less (tptp.c_uminus V_b T_a) (tptp.c_uminus V_a T_a) T_a))))
% 1.76/1.98  (assume a2236 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (= (tptp.c_uminus (tptp.c_LOrder_Omeet V_a V_b T_a) T_a) (tptp.c_LOrder_Ojoin (tptp.c_uminus V_a T_a) (tptp.c_uminus V_b T_a) T_a)))))
% 1.76/1.98  (assume a2237 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (= (tptp.c_OrderedGroup_Onprt tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2238 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals tptp.c_0 V_x T_a)) (= (tptp.c_OrderedGroup_Onprt V_x T_a) tptp.c_0))))
% 1.76/1.98  (assume a2239 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals V_y tptp.c_0 T_a)) (= (tptp.c_OrderedGroup_Onprt V_y T_a) V_y))))
% 1.76/1.98  (assume a2240 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (tptp.c_lessequals (tptp.c_OrderedGroup_Onprt V_a T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2241 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_OrderedGroup_Onprt V_a T_a) (tptp.c_OrderedGroup_Onprt V_b T_a) T_a))))
% 1.76/1.98  (assume a2242 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (= (tptp.c_OrderedGroup_Opprt tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2243 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals V_x tptp.c_0 T_a)) (= (tptp.c_OrderedGroup_Opprt V_x T_a) tptp.c_0))))
% 1.76/1.98  (assume a2244 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals tptp.c_0 V_y T_a)) (= (tptp.c_OrderedGroup_Opprt V_y T_a) V_y))))
% 1.76/1.98  (assume a2245 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_OrderedGroup_Opprt V_a T_a) (tptp.c_OrderedGroup_Opprt V_b T_a) T_a))))
% 1.76/1.98  (assume a2246 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_uminus V_a T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2247 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_plus V_a V_a T_a) T_a)) (tptp.c_lessequals tptp.c_0 V_a T_a))))
% 1.76/1.98  (assume a2248 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (not (tptp.c_lessequals tptp.c_0 V_a T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_plus V_a V_a T_a) T_a))))
% 1.76/1.98  (assume a2249 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_OrderedGroup_Opprt V_a T_a) T_a))))
% 1.76/1.98  (assume a2250 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_HOL_Oabs tptp.c_0 T_a) T_a)))))
% 1.76/1.98  (assume a2251 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_less tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2252 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less (tptp.c_Orderings_Omax V_x V_y T_a) V_z T_a)) (tptp.c_less V_x V_z T_a))))
% 1.76/1.98  (assume a2253 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less (tptp.c_Orderings_Omax V_x V_y T_a) V_z T_a)) (tptp.c_less V_y V_z T_a))))
% 1.76/1.98  (assume a2254 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less V_y V_z T_a)) (not (tptp.c_less V_x V_z T_a)) (tptp.c_less (tptp.c_Orderings_Omax V_x V_y T_a) V_z T_a))))
% 1.76/1.98  (assume a2255 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less V_z (tptp.c_Orderings_Omin V_x V_y T_a) T_a)) (tptp.c_less V_z V_x T_a))))
% 1.76/1.98  (assume a2256 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less V_z (tptp.c_Orderings_Omin V_x V_y T_a) T_a)) (tptp.c_less V_z V_y T_a))))
% 1.76/1.98  (assume a2257 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less V_z V_y T_a)) (not (tptp.c_less V_z V_x T_a)) (tptp.c_less V_z (tptp.c_Orderings_Omin V_x V_y T_a) T_a))))
% 1.76/1.98  (assume a2258 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_x (tptp.c_Orderings_Omin V_y V_z T_b) T_b)) (tptp.c_lessequals V_x V_y T_b))))
% 1.76/1.98  (assume a2259 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_x (tptp.c_Orderings_Omin V_y V_z T_b) T_b)) (tptp.c_lessequals V_x V_z T_b))))
% 1.76/1.98  (assume a2260 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (not (tptp.c_lessequals V_x V_y T_b)) (tptp.c_lessequals V_x (tptp.c_Orderings_Omin V_y V_z T_b) T_b))))
% 1.76/1.98  (assume a2261 (forall ((T_b $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_Orderings_Omin V_y V_y T_b) V_y))))
% 1.76/1.98  (assume a2262 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_Orderings_Omin V_x (tptp.c_Orderings_Omin V_x V_y T_b) T_b) (tptp.c_Orderings_Omin V_x V_y T_b)))))
% 1.76/1.98  (assume a2263 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b)) (tptp.c_lessequals V_x V_z T_b))))
% 1.76/1.98  (assume a2264 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b)) (tptp.c_lessequals V_y V_z T_b))))
% 1.76/1.98  (assume a2265 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))))
% 1.76/1.98  (assume a2266 (forall ((T_b $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_Orderings_Omax V_y V_y T_b) V_y))))
% 1.76/1.98  (assume a2267 (forall ((T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (= (tptp.c_Orderings_Omax V_x (tptp.c_Orderings_Omax V_x V_y T_b) T_b) (tptp.c_Orderings_Omax V_x V_y T_b)))))
% 1.76/1.98  (assume a2268 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_x T_a)))))
% 1.76/1.98  (assume a2269 (forall ((V_v $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat)) (tptp.c_Parity_Oeven (tptp.c_IntDef_Oint (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2270 (forall ((V_v $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_IntDef_Oint (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat)) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_v tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2271 (forall ((V_v $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_0))))
% 1.76/1.98  (assume a2272 (forall ((V_v $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_0)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_v tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2273 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint)) (not (tptp.c_Parity_Oeven (tptp.c_minus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2274 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint)) (not (tptp.c_Parity_Oeven (tptp.c_minus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2275 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint)) (not (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven (tptp.c_minus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2276 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint) (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint) (tptp.c_Parity_Oeven (tptp.c_minus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2277 (forall ((V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_nat)) (not (tptp.c_Parity_Oeven (tptp.c_Suc V_x) tptp.tc_nat)))))
% 1.76/1.98  (assume a2278 (forall ((V_x $$unsorted)) (or (tptp.c_Parity_Oeven V_x tptp.tc_nat) (tptp.c_Parity_Oeven (tptp.c_Suc V_x) tptp.tc_nat))))
% 1.76/1.98  (assume a2279 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_Nat_Opower V_x V_y tptp.tc_nat) tptp.tc_nat)) (tptp.c_Parity_Oeven V_x tptp.tc_nat))))
% 1.76/1.98  (assume a2280 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_Nat_Opower V_x V_y tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_y tptp.tc_nat))))
% 1.76/1.98  (assume a2281 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_nat)) (not (tptp.c_less tptp.c_0 V_y tptp.tc_nat)) (tptp.c_Parity_Oeven (tptp.c_Nat_Opower V_x V_y tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2282 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_times V_x V_y tptp.tc_nat) tptp.tc_nat)) (tptp.c_Parity_Oeven V_y tptp.tc_nat) (tptp.c_Parity_Oeven V_x tptp.tc_nat))))
% 1.76/1.98  (assume a2283 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_nat)) (tptp.c_Parity_Oeven (tptp.c_times V_x V_y tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2284 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_nat)) (tptp.c_Parity_Oeven (tptp.c_times V_x V_y tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2285 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_nat)) (not (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_nat) tptp.tc_nat)) (tptp.c_Parity_Oeven V_x tptp.tc_nat))))
% 1.76/1.98  (assume a2286 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_nat)) (not (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_nat) tptp.tc_nat)) (tptp.c_Parity_Oeven V_y tptp.tc_nat))))
% 1.76/1.98  (assume a2287 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_nat)) (not (tptp.c_Parity_Oeven V_x tptp.tc_nat)) (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2288 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_Parity_Oeven V_y tptp.tc_nat) (tptp.c_Parity_Oeven V_x tptp.tc_nat) (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2289 (tptp.c_Parity_Oeven tptp.c_0 tptp.tc_nat))
% 1.76/1.98  (assume a2290 (forall ((V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_uminus V_x tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2291 (forall ((V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven (tptp.c_uminus V_x tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2292 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_Nat_Opower V_x V_n tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2293 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_Nat_Opower V_x V_n tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_less tptp.c_0 V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2294 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint)) (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_Parity_Oeven (tptp.c_Nat_Opower V_x V_n tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2295 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven (tptp.c_times V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint) (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2296 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven (tptp.c_times V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2297 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven (tptp.c_times V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2298 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint)) (not (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2299 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint)) (not (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2300 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint)) (not (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint)) (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2301 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_Parity_Oeven V_y tptp.tc_IntDef_Oint) (tptp.c_Parity_Oeven V_x tptp.tc_IntDef_Oint) (tptp.c_Parity_Oeven (tptp.c_plus V_x V_y tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 1.76/1.98  (assume a2302 (tptp.c_Parity_Oeven tptp.c_0 tptp.tc_IntDef_Oint))
% 1.76/1.98  (assume a2303 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (not (tptp.c_Parity_Oeven V_x tptp.tc_nat)) (= (tptp.c_Nat_Opower (tptp.c_uminus tptp.c_1 T_a) V_x T_a) tptp.c_1))))
% 1.76/1.98  (assume a2304 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Parity_Oeven V_x tptp.tc_nat) (= (tptp.c_Nat_Opower (tptp.c_uminus tptp.c_1 T_a) V_x T_a) (tptp.c_uminus tptp.c_1 T_a)))))
% 1.76/1.98  (assume a2305 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Power_Orecpower T_a)) (not (tptp.c_Parity_Oeven V_x tptp.tc_nat)) (= (tptp.c_Nat_Opower (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) V_x T_a) tptp.c_1))))
% 1.76/1.98  (assume a2306 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T_a)) (not (tptp.class_Power_Orecpower T_a)) (tptp.c_Parity_Oeven V_x tptp.tc_nat) (= (tptp.c_Nat_Opower (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a) V_x T_a) (tptp.c_Numeral_Onumber__of tptp.c_Numeral_OMin T_a)))))
% 1.76/1.98  (assume a2307 (forall ((V_x $$unsorted)) (or (= (tptp.c_Divides_Oop_Amod V_x (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_0) (= (tptp.c_Divides_Oop_Amod V_x (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_1))))
% 1.76/1.98  (assume a2308 (forall ((V_x $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod V_x (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_0)) (not (= (tptp.c_Divides_Oop_Amod V_x (tptp.c_Numeral_Onumber__of (tptp.c_Numeral_OBit (tptp.c_Numeral_OBit tptp.c_Numeral_OPls tptp.c_Numeral_Obit_OB1) tptp.c_Numeral_Obit_OB0) tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) tptp.c_1)))))
% 1.76/1.98  (assume a2309 (not (tptp.c_Parity_Oeven tptp.c_1 tptp.tc_IntDef_Oint)))
% 1.76/1.98  (assume a2310 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0)) (= (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_1))))
% 1.76/1.98  (assume a2311 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (= (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0) (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0))))
% 1.76/1.98  (assume a2312 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Nat_Opower V_a (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2313 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Nat_Opower V_a (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0)) (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2314 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2315 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (= (tptp.c_Nat_Opower (tptp.c_HOL_Oabs V_x T_a) (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a)))))
% 1.76/1.98  (assume a2316 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a)) (not (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0)))))
% 1.76/1.98  (assume a2317 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a)) (= V_x tptp.c_0))))
% 1.76/1.98  (assume a2318 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_lessequals V_x tptp.c_0 T_a))))
% 1.76/1.98  (assume a2319 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a)) (tptp.c_lessequals V_x tptp.c_0 T_a) (= V_x tptp.c_0))))
% 1.76/1.98  (assume a2320 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals V_x tptp.c_0 T_a)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_lessequals (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a) (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0))))
% 1.76/1.98  (assume a2321 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a) (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0))))
% 1.76/1.98  (assume a2322 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_less (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2323 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a)) (tptp.c_less V_x tptp.c_0 T_a))))
% 1.76/1.98  (assume a2324 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less V_x tptp.c_0 T_a)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_less (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2325 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (not (tptp.c_Parity_Oeven V_n tptp.tc_nat)) (= (tptp.c_Nat_Opower (tptp.c_uminus V_x T_a) V_n T_a) (tptp.c_Nat_Opower V_x V_n T_a)))))
% 1.76/1.98  (assume a2326 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T_a)) (tptp.c_Parity_Oeven V_n tptp.tc_nat) (= (tptp.c_Nat_Opower (tptp.c_uminus V_x T_a) V_n T_a) (tptp.c_uminus (tptp.c_Nat_Opower V_x V_n T_a) T_a)))))
% 1.76/1.98  (assume a2327 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_lessequals tptp.c_0 V_x T_a))))
% 1.76/1.98  (assume a2328 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (tptp.c_lessequals tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a))))
% 1.76/1.98  (assume a2329 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_lessequals tptp.c_0 V_x T_a)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_lessequals tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a))))
% 1.76/1.98  (assume a2330 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_less tptp.c_0 V_x T_a) (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0))))
% 1.76/1.98  (assume a2331 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a)) (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0))))
% 1.76/1.98  (assume a2332 (forall ((T_a $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a)) (tptp.c_less tptp.c_0 tptp.c_0 T_a) (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0))))
% 1.76/1.98  (assume a2333 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a))))
% 1.76/1.98  (assume a2334 (forall ((T_a $$unsorted) (V_w $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a) (= V_x tptp.c_0))))
% 1.76/1.98  (assume a2335 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 V_x T_a)) (tptp.c_Parity_Oeven (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) T_a) T_a))))
% 1.76/1.98  (assume a2336 (forall ((V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_x tptp.tc_nat) (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0))))
% 1.76/1.98  (assume a2337 (forall ((V_w $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.c_0)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2338 (forall ((V_x $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_x tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x (tptp.c_Numeral_Onumber__of V_w tptp.tc_nat) tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2339 (forall ((V_i $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_lessequals tptp.c_1 V_i tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Suc tptp.c_0) (tptp.c_Nat_Opower V_i V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2340 (forall ((V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower tptp.c_0 V_n tptp.tc_nat) tptp.tc_nat)) (= V_n tptp.c_0))))
% 1.76/1.98  (assume a2341 (forall ((V_x $$unsorted) (V_n $$unsorted)) (or (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x V_n tptp.tc_nat) tptp.tc_nat) (= V_x tptp.c_0))))
% 1.76/1.98  (assume a2342 (forall ((V_x $$unsorted)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower V_x tptp.c_0 tptp.tc_nat) tptp.tc_nat)))
% 1.76/1.98  (assume a2343 (forall ((V_p $$unsorted)) (= (tptp.c_Nat_Opower V_p tptp.c_0 tptp.tc_nat) tptp.c_1)))
% 1.76/1.98  (assume a2344 (forall ((V_p $$unsorted) (V_n $$unsorted)) (= (tptp.c_Nat_Opower V_p (tptp.c_Suc V_n) tptp.tc_nat) (tptp.c_times V_p (tptp.c_Nat_Opower V_p V_n tptp.tc_nat) tptp.tc_nat))))
% 1.76/1.98  (assume a2345 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (= (tptp.c_Nat_Opower tptp.c_0 (tptp.c_Suc V_n) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2346 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Nat_Opower V_a V_n T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2347 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_Nat_Opower V_a V_n T_a) tptp.c_0)) (tptp.c_less tptp.c_0 V_n tptp.tc_nat))))
% 1.76/1.98  (assume a2348 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (= (tptp.c_Nat_Opower tptp.c_0 V_n T_a) tptp.c_0))))
% 1.76/1.98  (assume a2349 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less tptp.c_1 V_b T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Opower V_b V_x T_a) (tptp.c_Nat_Opower V_b V_y T_a) T_a)) (tptp.c_lessequals V_x V_y tptp.tc_nat))))
% 1.76/1.98  (assume a2350 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less tptp.c_1 V_b T_a)) (not (tptp.c_lessequals V_x V_y tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Nat_Opower V_b V_x T_a) (tptp.c_Nat_Opower V_b V_y T_a) T_a))))
% 1.76/1.98  (assume a2351 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less tptp.c_1 V_a T_a)) (not (= (tptp.c_Nat_Opower V_a V_m T_a) (tptp.c_Nat_Opower V_a V_n T_a))) (= V_m V_n))))
% 1.76/1.98  (assume a2352 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (= (tptp.c_Nat_Opower tptp.c_1 V_n T_a) tptp.c_1))))
% 1.76/1.98  (assume a2353 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (= (tptp.c_Nat_Opower V_y tptp.c_1 T_a) V_y))))
% 1.76/1.98  (assume a2354 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less tptp.c_1 V_b T_a)) (not (tptp.c_less (tptp.c_Nat_Opower V_b V_x T_a) (tptp.c_Nat_Opower V_b V_y T_a) T_a)) (tptp.c_less V_x V_y tptp.tc_nat))))
% 1.76/1.98  (assume a2355 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less V_x V_y tptp.tc_nat)) (not (tptp.c_less tptp.c_1 V_b T_a)) (tptp.c_less (tptp.c_Nat_Opower V_b V_x T_a) (tptp.c_Nat_Opower V_b V_y T_a) T_a))))
% 1.76/1.98  (assume a2356 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (= (tptp.c_Nat_Opower V_a tptp.c_0 T_a) tptp.c_1))))
% 1.76/1.98  (assume a2357 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs V_a T_a) V_n T_a) T_a))))
% 1.76/1.98  (assume a2358 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs tptp.c_0 T_a) V_n T_a) T_a)) (= V_n tptp.c_0))))
% 1.76/1.98  (assume a2359 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs V_a T_a) V_n T_a) T_a) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2360 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Power_Orecpower T_a)) (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_less tptp.c_0 (tptp.c_Nat_Opower (tptp.c_HOL_Oabs V_a T_a) tptp.c_0 T_a) T_a))))
% 1.76/1.98  (assume a2361 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_a V_a_H))))
% 1.76/1.98  (assume a2362 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))))
% 1.76/1.98  (assume a2363 (forall ((V_y $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_fst (tptp.c_Pair V_y V_b T_a T_b) T_a T_b) V_y)))
% 1.76/1.98  (assume a2364 (forall ((V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Pair (tptp.c_fst V_y T_a T_b) (tptp.c_snd V_y T_a T_b) T_a T_b) V_y)))
% 1.76/1.98  (assume a2365 (forall ((V_a $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_snd (tptp.c_Pair V_a V_y T_b T_a) T_b T_a) V_y)))
% 1.76/1.98  (assume a2366 (forall ((V_z $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= V_z (tptp.c_Pair (tptp.c_Main_Osurj__pair__1 V_z T_a T_b) (tptp.c_Main_Osurj__pair__2 V_z T_a T_b) T_a T_b))))
% 1.76/1.98  (assume a2367 (forall ((T_a $$unsorted)) (= (tptp.c_Relation_ODomain tptp.c_Relation_OId T_a T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2368 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Relation_Odiag V_y T_a) T_a T_a) V_y)))
% 1.76/1.98  (assume a2369 (forall ((T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_ODomain tptp.c_emptyset T_a T_b) tptp.c_emptyset)))
% 1.76/1.98  (assume a2370 (forall ((V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Orel__comp tptp.c_Relation_OId V_y T_b T_b T_a) V_y)))
% 1.76/1.98  (assume a2371 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OImage tptp.c_Relation_OId V_y T_a T_a) V_y)))
% 1.76/1.98  (assume a2372 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Relation_OImage (tptp.c_Relation_Odiag V_A T_a) V_B T_a T_a) (tptp.c_inter V_A V_B T_a))))
% 1.76/1.98  (assume a2373 (forall ((V_R $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_OImage V_R tptp.c_emptyset T_b T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2374 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r (tptp.c_insert V_a tptp.c_emptyset T_b) T_b T_a) T_a)) (tptp.c_in (tptp.c_Pair V_a V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 1.76/1.98  (assume a2375 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_b T_a) V_r (tptp.tc_prod T_b T_a))) (tptp.c_in V_b (tptp.c_Relation_OImage V_r (tptp.c_insert V_a tptp.c_emptyset T_b) T_b T_a) T_a))))
% 1.76/1.98  (assume a2376 (forall ((V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Orel__comp V_y tptp.c_Relation_OId T_a T_b T_a) V_y)))
% 1.76/1.98  (assume a2377 (forall ((T_a $$unsorted)) (= (tptp.c_Relation_ORange tptp.c_Relation_OId T_a T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2378 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Relation_Odiag V_y T_a) T_a T_a) V_y)))
% 1.76/1.98  (assume a2379 (forall ((T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange tptp.c_emptyset T_b T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2380 (forall ((T_a $$unsorted)) (= (tptp.c_Relation_Oconverse tptp.c_Relation_OId T_a T_a) tptp.c_Relation_OId)))
% 1.76/1.98  (assume a2381 (forall ((V_y $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oconverse V_y T_a T_b) T_b T_a) V_y)))
% 1.76/1.98  (assume a2382 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Odiag V_A T_a) T_a T_a) (tptp.c_Relation_Odiag V_A T_a))))
% 1.76/1.98  (assume a2383 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 1.76/1.98  (assume a2384 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) V_r (tptp.tc_prod T_b T_a))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b)))))
% 1.76/1.98  (assume a2385 (forall ((T_a $$unsorted)) (= (tptp.c_Relation_Odiag tptp.c_emptyset T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2386 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) tptp.c_Relation_OId (tptp.tc_prod T_a T_a))) (= V_a V_b))))
% 1.76/1.98  (assume a2387 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_Pair V_x V_x T_a T_a) tptp.c_Relation_OId (tptp.tc_prod T_a T_a))))
% 1.76/1.98  (assume a2388 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Opower V_y tptp.c_1 (tptp.tc_set (tptp.tc_prod T_a T_a))) V_y)))
% 1.76/1.98  (assume a2389 (forall ((V_R $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_Nat_Opower V_R tptp.c_0 (tptp.tc_set (tptp.tc_prod T_a__1 T_a__1))) tptp.c_Relation_OId)))
% 1.76/1.98  (assume a2390 (forall ((V_R $$unsorted) (V_n $$unsorted) (T_a__1 $$unsorted)) (= (tptp.c_Nat_Opower V_R (tptp.c_Suc V_n) (tptp.tc_set (tptp.tc_prod T_a__1 T_a__1))) (tptp.c_Relation_Orel__comp V_R (tptp.c_Nat_Opower V_R V_n (tptp.tc_set (tptp.tc_prod T_a__1 T_a__1))) T_a__1 T_a__1 T_a__1))))
% 1.76/1.98  (assume a2391 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_HOL_Oabs (tptp.c_divide V_a V_b T_a) T_a) (tptp.c_divide (tptp.c_HOL_Oabs V_a T_a) (tptp.c_HOL_Oabs V_b T_a) T_a)))))
% 1.76/1.98  (assume a2392 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_HOL_Oabs (tptp.c_HOL_Oinverse V_a T_a) T_a) (tptp.c_HOL_Oinverse (tptp.c_HOL_Oabs V_a T_a) T_a)))))
% 1.76/1.98  (assume a2393 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs tptp.c_1 T_a) tptp.c_1))))
% 1.76/1.98  (assume a2394 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T_a)) (not (= tptp.c_0 tptp.c_1)))))
% 1.76/1.98  (assume a2395 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide V_y tptp.c_1 T_a) V_y))))
% 1.76/1.98  (assume a2396 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_divide V_c V_a T_a) (tptp.c_divide V_c V_b T_a))) (= V_a V_b) (= V_c tptp.c_0))))
% 1.76/1.98  (assume a2397 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide tptp.c_0 V_a T_a) (tptp.c_divide tptp.c_0 V_b T_a)))))
% 1.76/1.98  (assume a2398 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_divide V_a V_c T_a) (tptp.c_divide V_b V_c T_a))) (= V_a V_b) (= V_c tptp.c_0))))
% 1.76/1.98  (assume a2399 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide V_a tptp.c_0 T_a) (tptp.c_divide V_b tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2400 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_divide V_a V_b T_a) V_c T_a) (tptp.c_divide V_a (tptp.c_times V_b V_c T_a) T_a)))))
% 1.76/1.98  (assume a2401 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide V_a (tptp.c_divide V_b V_c T_a) T_a) (tptp.c_divide (tptp.c_times V_a V_c T_a) V_b T_a)))))
% 1.76/1.98  (assume a2402 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_divide V_a V_b T_a) tptp.c_0)) (= V_b tptp.c_0) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2403 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide tptp.c_0 V_b T_a) tptp.c_0))))
% 1.76/1.98  (assume a2404 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide V_a tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2405 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_divide V_a V_b T_a) tptp.c_1)) (= V_a V_b))))
% 1.76/1.98  (assume a2406 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (= (tptp.c_divide V_b tptp.c_0 T_a) tptp.c_1)))))
% 1.76/1.98  (assume a2407 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (= (tptp.c_divide V_b V_a T_a) tptp.c_1)) (= V_a V_b))))
% 1.76/1.98  (assume a2408 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= V_x tptp.c_0) (= (tptp.c_divide V_x V_x T_a) tptp.c_1))))
% 1.76/1.98  (assume a2409 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals (tptp.c_divide tptp.c_1 V_b T_a) tptp.c_0 T_a)) (tptp.c_lessequals V_b tptp.c_0 T_a))))
% 1.76/1.98  (assume a2410 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals V_b tptp.c_0 T_a)) (tptp.c_lessequals (tptp.c_divide tptp.c_1 V_b T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2411 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_lessequals (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 1.76/1.98  (assume a2412 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a))))
% 1.76/1.98  (assume a2413 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_lessequals (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a)) (tptp.c_lessequals V_b V_a T_a))))
% 1.76/1.98  (assume a2414 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_lessequals V_b V_a T_a)) (tptp.c_lessequals (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a))))
% 1.76/1.98  (assume a2415 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less (tptp.c_divide tptp.c_1 V_b T_a) tptp.c_0 T_a)) (tptp.c_less V_b tptp.c_0 T_a))))
% 1.76/1.98  (assume a2416 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b tptp.c_0 T_a)) (tptp.c_less (tptp.c_divide tptp.c_1 V_b T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2417 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_less (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a)) (tptp.c_less V_a V_b T_a))))
% 1.76/1.98  (assume a2418 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a V_b T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (tptp.c_less (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a))))
% 1.76/1.98  (assume a2419 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_less (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a)) (tptp.c_less V_b V_a T_a))))
% 1.76/1.98  (assume a2420 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b V_a T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (tptp.c_less (tptp.c_divide V_b V_a T_a) tptp.c_1 T_a))))
% 1.76/1.98  (assume a2421 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_uminus V_a T_a) V_b T_a) (tptp.c_uminus (tptp.c_divide V_a V_b T_a) T_a)))))
% 1.76/1.98  (assume a2422 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_uminus (tptp.c_divide V_a V_b T_a) T_a)))))
% 1.76/1.98  (assume a2423 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide tptp.c_0 tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2424 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (= tptp.c_1 (tptp.c_divide V_b tptp.c_0 T_a))))))
% 1.76/1.98  (assume a2425 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (= tptp.c_1 (tptp.c_divide V_b V_a T_a))) (= V_a V_b))))
% 1.76/1.98  (assume a2426 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= V_x tptp.c_0) (= tptp.c_1 (tptp.c_divide V_x V_x T_a)))))
% 1.76/1.98  (assume a2427 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_a tptp.c_0) (= (tptp.c_times (tptp.c_HOL_Oinverse V_a T_a) V_a T_a) tptp.c_1))))
% 1.76/1.98  (assume a2428 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_times V_c V_a T_a) (tptp.c_times V_c V_b T_a))) (= V_a V_b) (= V_c tptp.c_0))))
% 1.76/1.98  (assume a2429 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_times tptp.c_0 V_a T_a) (tptp.c_times tptp.c_0 V_b T_a)))))
% 1.76/1.98  (assume a2430 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_c T_a))) (= V_a V_b) (= V_c tptp.c_0))))
% 1.76/1.98  (assume a2431 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_times V_a tptp.c_0 T_a) (tptp.c_times V_b tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2432 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse (tptp.c_divide V_a V_b T_a) T_a) (tptp.c_divide V_b V_a T_a)))))
% 1.76/1.98  (assume a2433 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse V_x T_a) tptp.c_1)) (= V_x tptp.c_1))))
% 1.76/1.98  (assume a2434 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse tptp.c_1 T_a) tptp.c_1))))
% 1.76/1.98  (assume a2435 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a))) (= V_a V_b))))
% 1.76/1.98  (assume a2436 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse (tptp.c_HOL_Oinverse V_y T_a) T_a) V_y))))
% 1.76/1.98  (assume a2437 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_b T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a)) (tptp.c_lessequals V_b V_a T_a))))
% 1.76/1.98  (assume a2438 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_b T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_lessequals V_b V_a T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a))))
% 1.76/1.98  (assume a2439 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b tptp.c_0 T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a)) (tptp.c_lessequals V_b V_a T_a))))
% 1.76/1.98  (assume a2440 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b tptp.c_0 T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_lessequals V_b V_a T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a))))
% 1.76/1.98  (assume a2441 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_b T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_less (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a)) (tptp.c_less V_b V_a T_a))))
% 1.76/1.98  (assume a2442 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b V_a T_a)) (not (tptp.c_less tptp.c_0 V_b T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (tptp.c_less (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a))))
% 1.76/1.98  (assume a2443 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b tptp.c_0 T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_less (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a)) (tptp.c_less V_b V_a T_a))))
% 1.76/1.98  (assume a2444 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b V_a T_a)) (not (tptp.c_less V_b tptp.c_0 T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (tptp.c_less (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a))))
% 1.76/1.98  (assume a2445 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse (tptp.c_uminus V_a T_a) T_a) (tptp.c_uminus (tptp.c_HOL_Oinverse V_a T_a) T_a)))))
% 1.76/1.98  (assume a2446 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse (tptp.c_times V_a V_b T_a) T_a) (tptp.c_times (tptp.c_HOL_Oinverse V_a T_a) (tptp.c_HOL_Oinverse V_b T_a) T_a)))))
% 1.76/1.98  (assume a2447 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less (tptp.c_HOL_Oinverse V_a T_a) tptp.c_0 T_a)) (tptp.c_less V_a tptp.c_0 T_a))))
% 1.76/1.98  (assume a2448 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (tptp.c_less (tptp.c_HOL_Oinverse V_a T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2449 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oinverse V_a T_a) T_a)) (tptp.c_lessequals tptp.c_0 V_a T_a))))
% 1.76/1.98  (assume a2450 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals tptp.c_0 V_a T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oinverse V_a T_a) T_a))))
% 1.76/1.98  (assume a2451 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals (tptp.c_HOL_Oinverse V_a T_a) tptp.c_0 T_a)) (tptp.c_lessequals V_a tptp.c_0 T_a))))
% 1.76/1.98  (assume a2452 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (tptp.c_lessequals (tptp.c_HOL_Oinverse V_a T_a) tptp.c_0 T_a))))
% 1.76/1.98  (assume a2453 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= (tptp.c_HOL_Oinverse V_a T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2454 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_HOL_Oinverse tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2455 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_HOL_Oinverse V_a T_a) T_a)) (tptp.c_less tptp.c_0 V_a T_a))))
% 1.76/1.98  (assume a2456 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (tptp.c_less tptp.c_0 (tptp.c_HOL_Oinverse V_a T_a) T_a))))
% 1.76/1.98  (assume a2457 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_lessequals tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a)) (tptp.c_lessequals V_b V_a T_a))))
% 1.76/1.98  (assume a2458 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_lessequals V_b V_a T_a)) (tptp.c_lessequals tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a))))
% 1.76/1.98  (assume a2459 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_lessequals tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a)) (tptp.c_lessequals V_a V_b T_a))))
% 1.76/1.98  (assume a2460 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a))))
% 1.76/1.98  (assume a2461 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (not (tptp.c_less tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a)) (tptp.c_less V_b V_a T_a))))
% 1.76/1.98  (assume a2462 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_b V_a T_a)) (not (tptp.c_less V_a tptp.c_0 T_a)) (tptp.c_less tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a))))
% 1.76/1.98  (assume a2463 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (not (tptp.c_less tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a)) (tptp.c_less V_a V_b T_a))))
% 1.76/1.98  (assume a2464 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less V_a V_b T_a)) (not (tptp.c_less tptp.c_0 V_a T_a)) (tptp.c_less tptp.c_1 (tptp.c_divide V_b V_a T_a) T_a))))
% 1.76/1.98  (assume a2465 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_uminus V_a T_a) (tptp.c_uminus V_b T_a) T_a) (tptp.c_divide V_a V_b T_a)))))
% 1.76/1.98  (assume a2466 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_times (tptp.c_uminus V_a T_a) (tptp.c_uminus V_b T_a) T_a) (tptp.c_times V_a V_b T_a)))))
% 1.76/1.98  (assume a2467 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= V_c (tptp.c_times V_c V_b T_a))) (= V_c tptp.c_0) (= V_b tptp.c_1))))
% 1.76/1.98  (assume a2468 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= tptp.c_0 (tptp.c_times tptp.c_0 V_b T_a)))))
% 1.76/1.98  (assume a2469 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_c (tptp.c_times V_c tptp.c_1 T_a)))))
% 1.76/1.98  (assume a2470 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_times V_c V_a T_a) V_c)) (= V_c tptp.c_0) (= V_a tptp.c_1))))
% 1.76/1.98  (assume a2471 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= V_c (tptp.c_times V_b V_c T_a))) (= V_c tptp.c_0) (= V_b tptp.c_1))))
% 1.76/1.98  (assume a2472 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= tptp.c_0 (tptp.c_times V_b tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2473 (forall ((T_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= V_c (tptp.c_times tptp.c_1 V_c T_a)))))
% 1.76/1.98  (assume a2474 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (not (= (tptp.c_times V_a V_c T_a) V_c)) (= V_c tptp.c_0) (= V_a tptp.c_1))))
% 1.76/1.98  (assume a2475 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide tptp.c_0 (tptp.c_times tptp.c_0 V_b T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2476 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c tptp.c_0) (= (tptp.c_divide V_c (tptp.c_times V_c V_b T_a) T_a) (tptp.c_divide tptp.c_1 V_b T_a)))))
% 1.76/1.98  (assume a2477 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_times tptp.c_0 V_a T_a) tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2478 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c tptp.c_0) (= (tptp.c_divide (tptp.c_times V_c V_a T_a) V_c T_a) V_a))))
% 1.76/1.98  (assume a2479 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_times tptp.c_0 V_a T_a) (tptp.c_times tptp.c_0 V_b T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2480 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c tptp.c_0) (= (tptp.c_divide (tptp.c_times V_c V_a T_a) (tptp.c_times V_c V_b T_a) T_a) (tptp.c_divide V_a V_b T_a)))))
% 1.76/1.98  (assume a2481 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide tptp.c_0 (tptp.c_times V_b tptp.c_0 T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2482 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c tptp.c_0) (= (tptp.c_divide V_c (tptp.c_times V_b V_c T_a) T_a) (tptp.c_divide tptp.c_1 V_b T_a)))))
% 1.76/1.98  (assume a2483 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_times V_a tptp.c_0 T_a) tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2484 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c tptp.c_0) (= (tptp.c_divide (tptp.c_times V_a V_c T_a) V_c T_a) V_a))))
% 1.76/1.98  (assume a2485 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_divide (tptp.c_times V_a tptp.c_0 T_a) (tptp.c_times V_b tptp.c_0 T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2486 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_c tptp.c_0) (= (tptp.c_divide (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_c T_a) T_a) (tptp.c_divide V_a V_b T_a)))))
% 1.76/1.98  (assume a2487 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T_a)) (not (= (tptp.c_times V_a V_b T_a) tptp.c_0)) (= V_b tptp.c_0) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2488 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_times (tptp.c_uminus V_a T_a) V_b T_a) (tptp.c_uminus (tptp.c_times V_a V_b T_a) T_a)))))
% 1.76/1.98  (assume a2489 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T_a)) (= (tptp.c_times V_a (tptp.c_uminus V_b T_a) T_a) (tptp.c_uminus (tptp.c_times V_a V_b T_a) T_a)))))
% 1.76/1.98  (assume a2490 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T_a)) (= (tptp.c_times tptp.c_0 V_a T_a) tptp.c_0))))
% 1.76/1.98  (assume a2491 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T_a)) (= (tptp.c_times V_a tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2492 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_lessequals tptp.c_1 tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2493 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_less tptp.c_1 tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2494 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (= (tptp.c_divide tptp.c_1 V_a T_a) tptp.c_0)) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2495 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= (tptp.c_divide tptp.c_1 tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2496 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (not (= tptp.c_1 (tptp.c_divide V_a V_b T_a))) (= V_a V_b))))
% 1.76/1.98  (assume a2497 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T_a)) (not (= tptp.c_1 tptp.c_0)))))
% 1.76/1.98  (assume a2498 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_less tptp.c_0 tptp.c_1 T_a))))
% 1.76/1.98  (assume a2499 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_a tptp.c_0) (= (tptp.c_times V_a (tptp.c_HOL_Oinverse V_a T_a) T_a) tptp.c_1))))
% 1.76/1.98  (assume a2500 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_times V_a (tptp.c_divide V_b V_c T_a) T_a) (tptp.c_divide (tptp.c_times V_a V_b T_a) V_c T_a)))))
% 1.76/1.98  (assume a2501 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_times (tptp.c_divide V_b V_c T_a) V_a T_a) (tptp.c_divide (tptp.c_times V_b V_a T_a) V_c T_a)))))
% 1.76/1.98  (assume a2502 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_times (tptp.c_divide V_b tptp.c_0 T_a) tptp.c_0 T_a) tptp.c_0))))
% 1.76/1.98  (assume a2503 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_a tptp.c_0) (= (tptp.c_times (tptp.c_divide V_b V_a T_a) V_a T_a) V_b))))
% 1.76/1.98  (assume a2504 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= (tptp.c_times tptp.c_0 (tptp.c_divide V_b tptp.c_0 T_a) T_a) tptp.c_0))))
% 1.76/1.98  (assume a2505 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_a tptp.c_0) (= (tptp.c_times V_a (tptp.c_divide V_b V_a T_a) T_a) V_b))))
% 1.76/1.98  (assume a2506 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (= tptp.c_0 (tptp.c_divide tptp.c_1 V_a T_a))) (= V_a tptp.c_0))))
% 1.76/1.98  (assume a2507 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (= tptp.c_0 (tptp.c_divide tptp.c_1 tptp.c_0 T_a)))))
% 1.76/1.98  (assume a2508 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals tptp.c_0 (tptp.c_divide tptp.c_1 V_b T_a) T_a)) (tptp.c_lessequals tptp.c_0 V_b T_a))))
% 1.76/1.98  (assume a2509 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_lessequals tptp.c_0 V_b T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_divide tptp.c_1 V_b T_a) T_a))))
% 1.76/1.98  (assume a2510 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_lessequals tptp.c_0 tptp.c_1 T_a))))
% 1.76/1.98  (assume a2511 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 (tptp.c_divide tptp.c_1 V_b T_a) T_a)) (tptp.c_less tptp.c_0 V_b T_a))))
% 1.76/1.98  (assume a2512 (forall ((T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T_a)) (not (tptp.class_Ring__and__Field_Oordered__field T_a)) (not (tptp.c_less tptp.c_0 V_b T_a)) (tptp.c_less tptp.c_0 (tptp.c_divide tptp.c_1 V_b T_a) T_a))))
% 1.76/1.98  (assume a2513 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_uminus (tptp.c_SetInterval_OatLeast V_k T_a) (tptp.tc_set T_a)) (tptp.c_SetInterval_OlessThan V_k T_a)))))
% 1.76/1.98  (assume a2514 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_uminus (tptp.c_SetInterval_OatMost V_k T_a) (tptp.tc_set T_a)) (tptp.c_SetInterval_OgreaterThan V_k T_a)))))
% 1.76/1.98  (assume a2515 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_uminus (tptp.c_SetInterval_OgreaterThan V_k T_a) (tptp.tc_set T_a)) (tptp.c_SetInterval_OatMost V_k T_a)))))
% 1.76/1.98  (assume a2516 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= (tptp.c_uminus (tptp.c_SetInterval_OlessThan V_k T_a) (tptp.tc_set T_a)) (tptp.c_SetInterval_OatLeast V_k T_a)))))
% 1.76/1.98  (assume a2517 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_n V_m T_a)) (= (tptp.c_SetInterval_OatLeastAtMost V_m V_n T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2518 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatLeastAtMost V_l V_u T_a) T_a)) (tptp.c_lessequals V_l V_i T_a))))
% 1.76/1.98  (assume a2519 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatLeastAtMost V_l V_u T_a) T_a)) (tptp.c_lessequals V_i V_u T_a))))
% 1.76/1.98  (assume a2520 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_lessequals V_i V_u T_a)) (not (tptp.c_lessequals V_l V_i T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OatLeastAtMost V_l V_u T_a) T_a))))
% 1.76/1.98  (assume a2521 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_SetInterval_OatLeastAtMost V_a V_a T_a) (tptp.c_insert V_a tptp.c_emptyset T_a)))))
% 1.76/1.98  (assume a2522 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_n V_m T_a)) (= (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2523 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatLeastLessThan V_l V_u T_a) T_a)) (tptp.c_lessequals V_l V_i T_a))))
% 1.76/1.98  (assume a2524 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatLeastLessThan V_l V_u T_a) T_a)) (tptp.c_less V_i V_u T_a))))
% 1.76/1.98  (assume a2525 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_less V_i V_u T_a)) (not (tptp.c_lessequals V_l V_i T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OatLeastLessThan V_l V_u T_a) T_a))))
% 1.76/1.98  (assume a2526 (forall ((V_m $$unsorted)) (= (tptp.c_SetInterval_OatLeastLessThan V_m (tptp.c_Suc V_m) tptp.tc_nat) (tptp.c_insert V_m tptp.c_emptyset tptp.tc_nat))))
% 1.76/1.98  (assume a2527 (= (tptp.c_SetInterval_OatLeast tptp.c_0 tptp.tc_nat) tptp.c_UNIV))
% 1.76/1.98  (assume a2528 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OatLeast V_x T_a) (tptp.c_SetInterval_OatLeast V_y T_a))) (= V_x V_y))))
% 1.76/1.98  (assume a2529 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatLeast V_k T_a) T_a)) (tptp.c_lessequals V_k V_i T_a))))
% 1.76/1.98  (assume a2530 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_lessequals V_k V_i T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OatLeast V_k T_a) T_a))))
% 1.76/1.98  (assume a2531 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OatLeast V_x T_a) (tptp.c_SetInterval_OatLeast V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_y V_x T_a))))
% 1.76/1.98  (assume a2532 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_x T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OatLeast V_x T_a) (tptp.c_SetInterval_OatLeast V_y T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2533 (= (tptp.c_SetInterval_OatMost tptp.c_0 tptp.tc_nat) (tptp.c_insert tptp.c_0 tptp.c_emptyset tptp.tc_nat)))
% 1.76/1.98  (assume a2534 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OatMost V_x T_a) (tptp.c_SetInterval_OatMost V_y T_a))) (= V_x V_y))))
% 1.76/1.98  (assume a2535 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatMost V_k T_a) T_a)) (tptp.c_lessequals V_i V_k T_a))))
% 1.76/1.98  (assume a2536 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_lessequals V_i V_k T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OatMost V_k T_a) T_a))))
% 1.76/1.98  (assume a2537 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OatMost V_x T_a) (tptp.c_SetInterval_OatMost V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_x V_y T_a))))
% 1.76/1.98  (assume a2538 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OatMost V_x T_a) (tptp.c_SetInterval_OatMost V_y T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2539 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OatLeastAtMost V_l V_u tptp.tc_nat) tptp.tc_nat) (tptp.c_minus (tptp.c_Suc V_u) V_l tptp.tc_nat))))
% 1.76/1.98  (assume a2540 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OatLeastAtMost V_l V_u tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Onat (tptp.c_plus (tptp.c_minus V_u V_l tptp.tc_IntDef_Oint) tptp.c_1 tptp.tc_IntDef_Oint)))))
% 1.76/1.98  (assume a2541 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OatLeastLessThan V_l V_u tptp.tc_nat) tptp.tc_nat) (tptp.c_minus V_u V_l tptp.tc_nat))))
% 1.76/1.98  (assume a2542 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OatLeastLessThan V_l V_u tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Onat (tptp.c_minus V_u V_l tptp.tc_IntDef_Oint)))))
% 1.76/1.98  (assume a2543 (forall ((V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OatMost V_u tptp.tc_nat) tptp.tc_nat) (tptp.c_Suc V_u))))
% 1.76/1.98  (assume a2544 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u tptp.tc_nat) tptp.tc_nat) (tptp.c_minus V_u V_l tptp.tc_nat))))
% 1.76/1.98  (assume a2545 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Onat (tptp.c_minus V_u V_l tptp.tc_IntDef_Oint)))))
% 1.76/1.98  (assume a2546 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u tptp.tc_nat) tptp.tc_nat) (tptp.c_minus V_u (tptp.c_Suc V_l) tptp.tc_nat))))
% 1.76/1.98  (assume a2547 (forall ((V_l $$unsorted) (V_u $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Onat (tptp.c_minus V_u (tptp.c_plus V_l tptp.c_1 tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))))
% 1.76/1.98  (assume a2548 (forall ((V_y $$unsorted)) (= (tptp.c_Finite__Set_Ocard (tptp.c_SetInterval_OlessThan V_y tptp.tc_nat) tptp.tc_nat) V_y)))
% 1.76/1.98  (assume a2549 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_l V_k T_a)) (= (tptp.c_SetInterval_OgreaterThanAtMost V_k V_l T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2550 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u T_a) T_a)) (tptp.c_less V_l V_i T_a))))
% 1.76/1.98  (assume a2551 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u T_a) T_a)) (tptp.c_lessequals V_i V_u T_a))))
% 1.76/1.98  (assume a2552 (forall ((T_a $$unsorted) (V_l $$unsorted) (V_i $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_less V_l V_i T_a)) (not (tptp.c_lessequals V_i V_u T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u T_a) T_a))))
% 1.76/1.98  (assume a2553 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u T_a) T_a)) (tptp.c_less V_l V_i T_a))))
% 1.76/1.98  (assume a2554 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_l $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u T_a) T_a)) (tptp.c_less V_i V_u T_a))))
% 1.76/1.98  (assume a2555 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_u $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_less V_i V_u T_a)) (not (tptp.c_less V_l V_i T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u T_a) T_a))))
% 1.76/1.98  (assume a2556 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OgreaterThan V_x T_a) (tptp.c_SetInterval_OgreaterThan V_y T_a))) (= V_x V_y))))
% 1.76/1.98  (assume a2557 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThan V_k T_a) T_a)) (tptp.c_less V_k V_i T_a))))
% 1.76/1.98  (assume a2558 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_less V_k V_i T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThan V_k T_a) T_a))))
% 1.76/1.98  (assume a2559 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OgreaterThan V_x T_a) (tptp.c_SetInterval_OgreaterThan V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_y V_x T_a))))
% 1.76/1.98  (assume a2560 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_y V_x T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OgreaterThan V_x T_a) (tptp.c_SetInterval_OgreaterThan V_y T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2561 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_i V_n T_a)) (= (tptp.c_minus (tptp.c_SetInterval_OatLeastLessThan V_i V_m T_a) (tptp.c_SetInterval_OatLeastLessThan V_i V_n T_a) (tptp.tc_set T_a)) (tptp.c_SetInterval_OatLeastLessThan V_n V_m T_a)))))
% 1.76/1.98  (assume a2562 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_j $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OatLeastLessThan V_i V_j T_a) (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_m V_i T_a) (tptp.c_lessequals V_j V_i T_a))))
% 1.76/1.98  (assume a2563 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_j $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OatLeastLessThan V_i V_j T_a) (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_j V_n T_a) (tptp.c_lessequals V_j V_i T_a))))
% 1.76/1.98  (assume a2564 (forall ((T_a $$unsorted) (V_j $$unsorted) (V_i $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_j V_i T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OatLeastLessThan V_i V_j T_a) (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2565 (forall ((T_a $$unsorted) (V_j $$unsorted) (V_n $$unsorted) (V_m $$unsorted) (V_i $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_j V_n T_a)) (not (tptp.c_lessequals V_m V_i T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OatLeastLessThan V_i V_j T_a) (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2566 (= (tptp.c_SetInterval_OlessThan tptp.c_0 tptp.tc_nat) tptp.c_emptyset))
% 1.76/1.98  (assume a2567 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OlessThan V_x T_a) (tptp.c_SetInterval_OlessThan V_y T_a))) (= V_x V_y))))
% 1.76/1.98  (assume a2568 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OlessThan V_k T_a) T_a)) (tptp.c_less V_i V_k T_a))))
% 1.76/1.98  (assume a2569 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_less V_i V_k T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OlessThan V_k T_a) T_a))))
% 1.76/1.98  (assume a2570 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OlessThan V_x T_a) (tptp.c_SetInterval_OlessThan V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_x V_y T_a))))
% 1.76/1.98  (assume a2571 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OlessThan V_x T_a) (tptp.c_SetInterval_OlessThan V_y T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2572 (forall ((T_a $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= (tptp.c_minus (tptp.c_insert V_k tptp.c_emptyset T_a) (tptp.c_SetInterval_OlessThan V_k T_a) (tptp.tc_set T_a)) (tptp.c_insert V_k tptp.c_emptyset T_a)))))
% 1.76/1.98  (assume a2573 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_uminus (tptp.c_minus V_A V_B (tptp.tc_set T_a)) (tptp.tc_set T_a)) (tptp.c_union (tptp.c_uminus V_A (tptp.tc_set T_a)) V_B T_a))))
% 1.76/1.98  (assume a2574 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_uminus (tptp.c_inter V_A V_B T_a) (tptp.tc_set T_a)) (tptp.c_union (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)) T_a))))
% 1.76/1.98  (assume a2575 (forall ((T_a $$unsorted)) (= (tptp.c_uminus tptp.c_UNIV (tptp.tc_set T_a)) tptp.c_emptyset)))
% 1.76/1.98  (assume a2576 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_uminus (tptp.c_union V_A V_B T_a) (tptp.tc_set T_a)) (tptp.c_inter (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)) T_a))))
% 1.76/1.98  (assume a2577 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter (tptp.c_uminus V_A (tptp.tc_set T_a)) V_A T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2578 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter V_A (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2579 (forall ((T_a $$unsorted)) (= (tptp.c_uminus tptp.c_emptyset (tptp.tc_set T_a)) tptp.c_UNIV)))
% 1.76/1.98  (assume a2580 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)))) (= V_A V_B))))
% 1.76/1.98  (assume a2581 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a)))))
% 1.76/1.98  (assume a2582 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c V_A T_a) (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a))))
% 1.76/1.98  (assume a2583 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)) (tptp.tc_set T_a))) (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2584 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2585 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_minus V_A (tptp.c_uminus V_B (tptp.tc_set T_a)) (tptp.tc_set T_a)) (tptp.c_inter V_A V_B T_a))))
% 1.76/1.98  (assume a2586 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_minus V_A tptp.c_UNIV (tptp.tc_set T_a)) tptp.c_emptyset)))
% 1.76/1.98  (assume a2587 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_minus V_A V_A (tptp.tc_set T_a)) tptp.c_emptyset)))
% 1.76/1.98  (assume a2588 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter V_A (tptp.c_minus V_B V_A (tptp.tc_set T_a)) T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2589 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_minus V_y tptp.c_emptyset (tptp.tc_set T_a)) V_y)))
% 1.76/1.98  (assume a2590 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_minus V_A V_B (tptp.tc_set T_a)) tptp.c_emptyset)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2591 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (= (tptp.c_minus V_A V_B (tptp.tc_set T_a)) tptp.c_emptyset))))
% 1.76/1.98  (assume a2592 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_minus (tptp.c_minus V_A V_B (tptp.tc_set T_a)) V_B (tptp.tc_set T_a)) (tptp.c_minus V_A V_B (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2593 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a)) (tptp.c_in V_c V_A T_a))))
% 1.76/1.98  (assume a2594 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a)))))
% 1.76/1.98  (assume a2595 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a))))
% 1.76/1.98  (assume a2596 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_x V_A T_a) (= (tptp.c_minus V_A (tptp.c_insert V_x V_B T_a) (tptp.tc_set T_a)) (tptp.c_minus V_A V_B (tptp.tc_set T_a))))))
% 1.76/1.98  (assume a2597 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_inter V_A V_B T_a) tptp.c_UNIV)) (= V_A tptp.c_UNIV))))
% 1.76/1.98  (assume a2598 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_inter V_A V_B T_a) tptp.c_UNIV)) (= V_B tptp.c_UNIV))))
% 1.76/1.98  (assume a2599 (forall ((T_a $$unsorted)) (= (tptp.c_inter tptp.c_UNIV tptp.c_UNIV T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2600 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter tptp.c_UNIV V_y T_a) V_y)))
% 1.76/1.98  (assume a2601 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter V_y tptp.c_UNIV T_a) V_y)))
% 1.76/1.98  (assume a2602 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter V_y V_y T_a) V_y)))
% 1.76/1.98  (assume a2603 (forall ((V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter tptp.c_emptyset V_B T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2604 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter V_A tptp.c_emptyset T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2605 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_A T_a))))
% 1.76/1.98  (assume a2606 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a))))
% 1.76/1.98  (assume a2607 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a))))
% 1.76/1.98  (assume a2608 (forall ((V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_C (tptp.c_inter V_A V_B T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_C V_A (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2609 (forall ((V_C $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_C (tptp.c_inter V_A V_B T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_C V_B (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2610 (forall ((V_C $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_C V_B (tptp.tc_set T_a))) (not (tptp.c_lessequals V_C V_A (tptp.tc_set T_a))) (tptp.c_lessequals V_C (tptp.c_inter V_A V_B T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2611 (forall ((T_a $$unsorted)) (= (tptp.c_Inter tptp.c_UNIV T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2612 (forall ((V_U $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_U V_A (tptp.tc_set T_a))) (not (= (tptp.c_Inter V_A T_a) tptp.c_UNIV)) (= V_U tptp.c_UNIV))))
% 1.76/1.98  (assume a2613 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OInter__UNIV__conv__1__1 V_A T_a) V_A (tptp.tc_set T_a)) (= (tptp.c_Inter V_A T_a) tptp.c_UNIV))))
% 1.76/1.98  (assume a2614 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Main_OInter__UNIV__conv__1__1 V_A T_a) tptp.c_UNIV)) (= (tptp.c_Inter V_A T_a) tptp.c_UNIV))))
% 1.76/1.98  (assume a2615 (forall ((V_U $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_U V_A (tptp.tc_set T_a))) (not (= tptp.c_UNIV (tptp.c_Inter V_A T_a))) (= V_U tptp.c_UNIV))))
% 1.76/1.98  (assume a2616 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OInter__UNIV__conv__2__1 V_A T_a) V_A (tptp.tc_set T_a)) (= tptp.c_UNIV (tptp.c_Inter V_A T_a)))))
% 1.76/1.98  (assume a2617 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Main_OInter__UNIV__conv__2__1 V_A T_a) tptp.c_UNIV)) (= tptp.c_UNIV (tptp.c_Inter V_A T_a)))))
% 1.76/1.98  (assume a2618 (forall ((T_a $$unsorted)) (= (tptp.c_Inter tptp.c_emptyset T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2619 (forall ((V_U $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_U V_C (tptp.tc_set T_a))) (not (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a)) (tptp.c_in V_A V_U T_a))))
% 1.76/1.98  (assume a2620 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a) (tptp.c_in (tptp.c_Main_OInter__iff__1 V_A V_C T_a) V_C (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2621 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Main_OInter__iff__1 V_A V_C T_a) T_a)) (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a))))
% 1.76/1.98  (assume a2622 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Inter (tptp.c_insert V_a V_B (tptp.tc_set T_a)) T_a) (tptp.c_inter V_a (tptp.c_Inter V_B T_a) T_a))))
% 1.76/1.98  (assume a2623 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Pow (tptp.c_inter V_A V_B T_a) T_a) (tptp.c_inter (tptp.c_Pow V_A T_a) (tptp.c_Pow V_B T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2624 (forall ((T_a $$unsorted)) (= (tptp.c_Pow tptp.c_UNIV T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2625 (forall ((T_a $$unsorted)) (= (tptp.c_Pow tptp.c_emptyset T_a) (tptp.c_insert tptp.c_emptyset tptp.c_emptyset (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2626 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Pow V_B T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2627 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_A (tptp.c_Pow V_B T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2628 (not (= tptp.c_UNIV tptp.c_emptyset)))
% 1.76/1.98  (assume a2629 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_union (tptp.c_minus V_B V_A (tptp.tc_set T_a)) V_A T_a) (tptp.c_union V_B V_A T_a))))
% 1.76/1.98  (assume a2630 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_A (tptp.c_minus V_B V_A (tptp.tc_set T_a)) T_a) (tptp.c_union V_A V_B T_a))))
% 1.76/1.98  (assume a2631 (forall ((V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_union tptp.c_UNIV V_B T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2632 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_A tptp.c_UNIV T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2633 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y V_y T_a) V_y)))
% 1.76/1.98  (assume a2634 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_union V_A V_B T_a) tptp.c_emptyset)) (= V_A tptp.c_emptyset))))
% 1.76/1.98  (assume a2635 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_union V_A V_B T_a) tptp.c_emptyset)) (= V_B tptp.c_emptyset))))
% 1.76/1.98  (assume a2636 (forall ((T_a $$unsorted)) (= (tptp.c_union tptp.c_emptyset tptp.c_emptyset T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2637 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union tptp.c_emptyset V_y T_a) V_y)))
% 1.76/1.98  (assume a2638 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y tptp.c_emptyset T_a) V_y)))
% 1.76/1.98  (assume a2639 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))
% 1.76/1.98  (assume a2640 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 1.76/1.98  (assume a2641 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 1.76/1.98  (assume a2642 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_union (tptp.c_insert V_a V_B T_a) V_C T_a) (tptp.c_insert V_a (tptp.c_union V_B V_C T_a) T_a))))
% 1.76/1.98  (assume a2643 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_A (tptp.c_insert V_a V_B T_a) T_a) (tptp.c_insert V_a (tptp.c_union V_A V_B T_a) T_a))))
% 1.76/1.98  (assume a2644 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_union V_A V_B T_a) V_C (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_C (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2645 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_union V_A V_B T_a) V_C (tptp.tc_set T_a))) (tptp.c_lessequals V_B V_C (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2646 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_lessequals V_B V_C (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_union V_A V_B T_a) V_C (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2647 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Union (tptp.c_Pow V_y T_a) T_a) V_y)))
% 1.76/1.98  (assume a2648 (forall ((T_a $$unsorted)) (= (tptp.c_Union tptp.c_UNIV T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2649 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Union (tptp.c_union V_A V_B (tptp.tc_set T_a)) T_a) (tptp.c_union (tptp.c_Union V_A T_a) (tptp.c_Union V_B T_a) T_a))))
% 1.76/1.98  (assume a2650 (forall ((T_a $$unsorted)) (= (tptp.c_Union tptp.c_emptyset T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2651 (forall ((V_U $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_U V_A (tptp.tc_set T_a))) (not (= (tptp.c_Union V_A T_a) tptp.c_emptyset)) (= V_U tptp.c_emptyset))))
% 1.76/1.98  (assume a2652 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OUnion__empty__conv__1 V_A T_a) V_A (tptp.tc_set T_a)) (= (tptp.c_Union V_A T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2653 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Main_OUnion__empty__conv__1 V_A T_a) tptp.c_emptyset)) (= (tptp.c_Union V_A T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2654 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in (tptp.c_Main_OUnion__iff__1 V_A V_C T_a) V_C (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2655 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in V_A (tptp.c_Main_OUnion__iff__1 V_A V_C T_a) T_a))))
% 1.76/1.98  (assume a2656 (forall ((V_A $$unsorted) (V_U $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_A V_U T_a)) (not (tptp.c_in V_U V_C (tptp.tc_set T_a))) (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a))))
% 1.76/1.98  (assume a2657 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Union (tptp.c_insert V_a V_B (tptp.tc_set T_a)) T_a) (tptp.c_union V_a (tptp.c_Union V_B T_a) T_a))))
% 1.76/1.98  (assume a2658 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_Oall__not__in__conv__1 V_A T_a) V_A T_a) (= V_A tptp.c_emptyset))))
% 1.76/1.98  (assume a2659 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Ocontents (tptp.c_insert V_y tptp.c_emptyset T_a) T_a) V_y)))
% 1.76/1.98  (assume a2660 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (not (= (tptp.c_inter V_B (tptp.c_insert V_a V_A T_a) T_a) tptp.c_emptyset)))))
% 1.76/1.98  (assume a2661 (forall ((V_B $$unsorted) (V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_inter V_B (tptp.c_insert V_a V_A T_a) T_a) tptp.c_emptyset)) (= (tptp.c_inter V_B V_A T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2662 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (= (tptp.c_inter V_B V_A T_a) tptp.c_emptyset)) (tptp.c_in V_a V_B T_a) (= (tptp.c_inter V_B (tptp.c_insert V_a V_A T_a) T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2663 (forall ((V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_b V_A T_a)) (not (= tptp.c_emptyset (tptp.c_inter V_A (tptp.c_insert V_b V_B T_a) T_a))))))
% 1.76/1.98  (assume a2664 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_inter V_A (tptp.c_insert V_b V_B T_a) T_a))) (= tptp.c_emptyset (tptp.c_inter V_A V_B T_a)))))
% 1.76/1.98  (assume a2665 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_inter V_A V_B T_a))) (tptp.c_in V_b V_A T_a) (= tptp.c_emptyset (tptp.c_inter V_A (tptp.c_insert V_b V_B T_a) T_a)))))
% 1.76/1.98  (assume a2666 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_uminus (tptp.c_uminus V_y (tptp.tc_set T_a)) (tptp.tc_set T_a)) V_y)))
% 1.76/1.98  (assume a2667 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_minus tptp.c_emptyset V_A (tptp.tc_set T_a)) tptp.c_emptyset)))
% 1.76/1.98  (assume a2668 (forall ((V_U $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_U V_A (tptp.tc_set T_a))) (not (= tptp.c_emptyset (tptp.c_Union V_A T_a))) (= V_U tptp.c_emptyset))))
% 1.76/1.98  (assume a2669 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_Oempty__Union__conv__1 V_A T_a) V_A (tptp.tc_set T_a)) (= tptp.c_emptyset (tptp.c_Union V_A T_a)))))
% 1.76/1.98  (assume a2670 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Main_Oempty__Union__conv__1 V_A T_a) tptp.c_emptyset)) (= tptp.c_emptyset (tptp.c_Union V_A T_a)))))
% 1.76/1.98  (assume a2671 (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_c tptp.c_emptyset T_a))))
% 1.76/1.98  (assume a2672 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (not (= tptp.c_emptyset (tptp.c_insert V_a V_A T_a)))))
% 1.76/1.98  (assume a2673 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_x V_B T_a)) (= (tptp.c_minus (tptp.c_insert V_x V_A T_a) V_B (tptp.tc_set T_a)) (tptp.c_minus V_A V_B (tptp.tc_set T_a))))))
% 1.76/1.98  (assume a2674 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_insert V_a (tptp.c_minus V_A (tptp.c_insert V_a tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) (tptp.c_insert V_a V_A T_a))))
% 1.76/1.98  (assume a2675 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_insert V_x (tptp.c_insert V_x V_A T_a) T_a) (tptp.c_insert V_x V_A T_a))))
% 1.76/1.98  (assume a2676 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (not (= (tptp.c_inter (tptp.c_insert V_a V_A T_a) V_B T_a) tptp.c_emptyset)))))
% 1.76/1.98  (assume a2677 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_inter (tptp.c_insert V_a V_A T_a) V_B T_a) tptp.c_emptyset)) (= (tptp.c_inter V_A V_B T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2678 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (= (tptp.c_inter V_A V_B T_a) tptp.c_emptyset)) (tptp.c_in V_a V_B T_a) (= (tptp.c_inter (tptp.c_insert V_a V_A T_a) V_B T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2679 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (not (= tptp.c_emptyset (tptp.c_inter (tptp.c_insert V_a V_A T_a) V_B T_a))))))
% 1.76/1.98  (assume a2680 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_inter (tptp.c_insert V_a V_A T_a) V_B T_a))) (= tptp.c_emptyset (tptp.c_inter V_A V_B T_a)))))
% 1.76/1.98  (assume a2681 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_inter V_A V_B T_a))) (tptp.c_in V_a V_B T_a) (= tptp.c_emptyset (tptp.c_inter (tptp.c_insert V_a V_A T_a) V_B T_a)))))
% 1.76/1.98  (assume a2682 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))))
% 1.76/1.98  (assume a2683 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_A T_a) T_a)))
% 1.76/1.98  (assume a2684 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a))))
% 1.76/1.98  (assume a2685 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_inter (tptp.c_insert V_a V_A T_a) (tptp.c_insert V_a V_B T_a) T_a) (tptp.c_insert V_a (tptp.c_inter V_A V_B T_a) T_a))))
% 1.76/1.98  (assume a2686 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_insert V_a V_A T_a) tptp.c_emptyset))))
% 1.76/1.98  (assume a2687 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_insert V_x V_A T_a) V_B (tptp.tc_set T_a))) (tptp.c_in V_x V_B T_a))))
% 1.76/1.98  (assume a2688 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_insert V_x V_A T_a) V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2689 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_x V_B T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_insert V_x V_A T_a) V_B (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2690 (forall ((V_A $$unsorted) (T_a $$unsorted)) (not (tptp.c_less V_A tptp.c_emptyset (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2691 (forall ((V_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (= (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.c_insert V_a V_A T_a))) (= V_a V_b))))
% 1.76/1.98  (assume a2692 (forall ((V_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (= (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.c_insert V_a V_A T_a))) (tptp.c_lessequals V_A (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2693 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A (tptp.c_insert V_x tptp.c_emptyset T_a) (tptp.tc_set T_a))) (= (tptp.c_insert V_x tptp.c_emptyset T_a) (tptp.c_insert V_x V_A T_a)))))
% 1.76/1.98  (assume a2694 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_insert V_a V_A T_a) (tptp.c_insert V_b tptp.c_emptyset T_a))) (= V_a V_b))))
% 1.76/1.98  (assume a2695 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_insert V_a V_A T_a) (tptp.c_insert V_b tptp.c_emptyset T_a))) (tptp.c_lessequals V_A (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.tc_set T_a)))))
% 1.76/1.98  (assume a2696 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A (tptp.c_insert V_x tptp.c_emptyset T_a) (tptp.tc_set T_a))) (= (tptp.c_insert V_x V_A T_a) (tptp.c_insert V_x tptp.c_emptyset T_a)))))
% 1.76/1.98  (assume a2697 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A tptp.c_UNIV (tptp.tc_set T_a))))
% 1.76/1.98  (assume a2698 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A tptp.c_emptyset (tptp.tc_set T_a))) (= V_A tptp.c_emptyset))))
% 1.76/1.98  (assume a2699 (forall ((T_a $$unsorted)) (tptp.c_lessequals tptp.c_emptyset tptp.c_emptyset (tptp.tc_set T_a))))
% 1.76/1.98  (assume a2700 (forall ((V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Sum__Type_OInl V_x T_a T_b) (tptp.c_Sum__Type_OInl V_y T_a T_b))) (= V_x V_y))))
% 1.76/1.98  (assume a2701 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (not (= (tptp.c_Sum__Type_OInl V_a T_a T_b) (tptp.c_Sum__Type_OInr V_b T_b T_a)))))
% 1.76/1.98  (assume a2702 (forall ((V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Sum__Type_OInr V_x T_b T_a) (tptp.c_Sum__Type_OInr V_y T_b T_a))) (= V_x V_y))))
% 1.76/1.98  (assume a2703 (forall ((V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Sum__Type_OInr V_b T_b T_a) (tptp.c_Sum__Type_OInl V_a T_a T_b)))))
% 1.76/1.98  (assume a2704 (forall ((T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Sum__Type_OPlus tptp.c_UNIV tptp.c_UNIV T_a T_b) tptp.c_UNIV)))
% 1.76/1.98  (assume a2705 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Transitive__Closure_Ortrancl V_R T_a) T_a T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2706 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Transitive__Closure_Ortrancl V_R T_a) T_a T_a) tptp.c_UNIV)))
% 1.76/1.98  (assume a2707 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_union (tptp.c_Transitive__Closure_Otrancl V_r T_a) tptp.c_Relation_OId (tptp.tc_prod T_a T_a)) (tptp.c_Transitive__Closure_Ortrancl V_r T_a))))
% 1.76/1.98  (assume a2708 (forall ((T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl tptp.c_emptyset T_a) tptp.c_Relation_OId)))
% 1.76/1.98  (assume a2709 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Transitive__Closure_Ortrancl V_r T_a) T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a))))
% 1.76/1.98  (assume a2710 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_Orel__comp (tptp.c_Transitive__Closure_Ortrancl V_R T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a) T_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))))
% 1.76/1.98  (assume a2711 (forall ((V_R $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_union V_R tptp.c_Relation_OId (tptp.tc_prod T_a T_a)) T_a) (tptp.c_Transitive__Closure_Ortrancl V_R T_a))))
% 1.76/1.98  (assume a2712 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ODomain (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ODomain V_r T_a T_a))))
% 1.76/1.98  (assume a2713 (forall ((T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl tptp.c_emptyset T_a) tptp.c_emptyset)))
% 1.76/1.98  (assume a2714 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Relation_ORange (tptp.c_Transitive__Closure_Otrancl V_r T_a) T_a T_a) (tptp.c_Relation_ORange V_r T_a T_a))))
% 1.76/1.98  (assume a2715 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Otrancl (tptp.c_union V_r tptp.c_Relation_OId (tptp.tc_prod T_a T_a)) T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a))))
% 1.76/1.98  (assume a2716 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a))))
% 1.76/1.98  (assume a2717 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_Relation_Oconverse V_r T_a T_a) T_a))))
% 1.76/1.98  (assume a2718 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a))))
% 1.76/1.98  (assume a2719 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 1.76/1.98  (assume a2720 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a) (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 1.76/1.98  (assume a2721 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (tptp.c_Wellfounded__Recursion_Owf V_r T_a))))
% 1.76/1.98  (assume a2722 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 1.76/1.98  (assume a2723 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_r T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a) (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 1.76/1.98  (assume a2724 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_r T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) V_r (tptp.tc_prod T_a T_a))))))
% 1.76/1.98  (assume a2725 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_nat tptp.tc_nat) tptp.c_Wellfounded__Relations_Oless__than (tptp.tc_prod tptp.tc_nat tptp.tc_nat))) (tptp.c_less V_x V_y tptp.tc_nat))))
% 1.76/1.98  (assume a2726 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_less V_x V_y tptp.tc_nat)) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_nat tptp.tc_nat) tptp.c_Wellfounded__Relations_Oless__than (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))))
% 1.76/1.98  (assume a2727 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2728 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2729 (forall ((V_nat_H $$unsorted)) (not (= tptp.c_Message_Oagent_OServer (tptp.c_Message_Oagent_OFriend V_nat_H)))))
% 1.76/1.98  (assume a2730 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Message_Oagent_OFriend V_nat_H) tptp.c_Message_Oagent_OServer))))
% 1.76/1.98  (assume a2731 (not (= tptp.c_Message_Oagent_OServer tptp.c_Message_Oagent_OSpy)))
% 1.76/1.98  (assume a2732 (not (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))
% 1.76/1.98  (assume a2733 (forall ((V_nat $$unsorted)) (not (= (tptp.c_Message_Oagent_OFriend V_nat) tptp.c_Message_Oagent_OSpy))))
% 1.76/1.98  (assume a2734 (forall ((V_nat $$unsorted)) (not (= tptp.c_Message_Oagent_OSpy (tptp.c_Message_Oagent_OFriend V_nat)))))
% 1.76/1.98  (assume a2735 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Oagent_OFriend V_nat) (tptp.c_Message_Oagent_OFriend V_nat_H))) (= V_nat V_nat_H))))
% 1.76/1.98  (assume a2736 (= (tptp.c_Nat_Osize tptp.c_Message_Oagent_OServer tptp.tc_Message_Oagent) tptp.c_0))
% 1.76/1.98  (assume a2737 (forall ((V_nat $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Oagent_OFriend V_nat) tptp.tc_Message_Oagent) tptp.c_0)))
% 1.76/1.98  (assume a2738 (= (tptp.c_Nat_Osize tptp.c_Message_Oagent_OSpy tptp.tc_Message_Oagent) tptp.c_0))
% 1.76/1.98  (assume a2739 (forall ((V_y $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.c_Message_OinvKey V_y)) V_y)))
% 1.76/1.98  (assume a2740 (forall ((V_K $$unsorted) (V_K_H $$unsorted)) (or (not (= (tptp.c_Message_OinvKey V_K) (tptp.c_Message_OinvKey V_K_H))) (= V_K V_K_H))))
% 1.76/1.98  (assume a2741 (forall ((V_H $$unsorted) (V_H_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_union V_H V_H_H tptp.tc_Message_Omsg)) (tptp.c_union (tptp.c_Message_OkeysFor V_H) (tptp.c_Message_OkeysFor V_H_H) tptp.tc_nat))))
% 1.76/1.98  (assume a2742 (= (tptp.c_Message_OkeysFor tptp.c_emptyset) tptp.c_emptyset))
% 1.76/1.98  (assume a2743 (forall ((V_A $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_Omsg_OAgent V_A) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 1.76/1.98  (assume a2744 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_OinvKey V_K) (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))))
% 1.76/1.98  (assume a2745 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 1.76/1.98  (assume a2746 (forall ((V_K $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 1.76/1.98  (assume a2747 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 1.76/1.98  (assume a2748 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 1.76/1.98  (assume a2749 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_Omsg_ONumber V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 1.76/1.98  (assume a2750 (forall ((V_agent $$unsorted) (V_agent_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OAgent V_agent_H))) (= V_agent V_agent_H))))
% 1.76/1.98  (assume a2751 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_ONumber V_nat) (tptp.c_Message_Omsg_ONumber V_nat_H))) (= V_nat V_nat_H))))
% 1.76/1.98  (assume a2752 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_ONonce V_nat_H))) (= V_nat V_nat_H))))
% 1.76/1.98  (assume a2753 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OKey V_nat) (tptp.c_Message_Omsg_OKey V_nat_H))) (= V_nat V_nat_H))))
% 1.76/1.98  (assume a2754 (forall ((V_msg $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OHash V_msg) (tptp.c_Message_Omsg_OHash V_msg_H))) (= V_msg V_msg_H))))
% 1.76/1.98  (assume a2755 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))) (= V_msg1 V_msg1_H))))
% 1.76/1.98  (assume a2756 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))) (= V_msg2 V_msg2_H))))
% 1.76/1.98  (assume a2757 (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_nat V_nat_H))))
% 1.76/1.98  (assume a2758 (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))))
% 1.76/1.98  (assume a2759 (forall ((V_agent $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Omsg_OAgent V_agent) tptp.tc_Message_Omsg) tptp.c_0)))
% 1.76/1.98  (assume a2760 (forall ((V_nat $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Omsg_ONumber V_nat) tptp.tc_Message_Omsg) tptp.c_0)))
% 1.76/1.98  (assume a2761 (forall ((V_nat $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Omsg_ONonce V_nat) tptp.tc_Message_Omsg) tptp.c_0)))
% 1.76/1.98  (assume a2762 (forall ((V_nat $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Omsg_OKey V_nat) tptp.tc_Message_Omsg) tptp.c_0)))
% 1.76/1.98  (assume a2763 (forall ((V_msg $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Omsg_OHash V_msg) tptp.tc_Message_Omsg) (tptp.c_plus (tptp.c_Nat_Osize V_msg tptp.tc_Message_Omsg) (tptp.c_Suc tptp.c_0) tptp.tc_nat))))
% 1.76/1.98  (assume a2764 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) tptp.tc_Message_Omsg) (tptp.c_plus (tptp.c_plus (tptp.c_Nat_Osize V_msg1 tptp.tc_Message_Omsg) (tptp.c_Nat_Osize V_msg2 tptp.tc_Message_Omsg) tptp.tc_nat) (tptp.c_Suc tptp.c_0) tptp.tc_nat))))
% 1.76/1.98  (assume a2765 (forall ((V_nat $$unsorted) (V_msg $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Message_Omsg_OCrypt V_nat V_msg) tptp.tc_Message_Omsg) (tptp.c_plus (tptp.c_Nat_Osize V_msg tptp.tc_Message_Omsg) (tptp.c_Suc tptp.c_0) tptp.tc_nat))))
% 1.76/1.98  (assume a2766 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2767 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg)) (tptp.c_union (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2768 (forall ((V_X $$unsorted)) (not (tptp.c_in V_X (tptp.c_Message_Oparts tptp.c_emptyset) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2769 (= (tptp.c_Message_Oparts tptp.c_emptyset) tptp.c_emptyset))
% 1.76/1.98  (assume a2770 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_A (tptp.c_union V_B V_A T_a) T_a) (tptp.c_union V_B V_A T_a))))
% 1.76/1.98  (assume a2771 (not (tptp.c_in tptp.c_Message_Oagent_OServer tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 1.76/1.98  (assume a2772 (tptp.c_in tptp.c_Message_Oagent_OSpy tptp.c_Event_Obad tptp.tc_Message_Oagent))
% 1.76/1.98  (assume a2773 (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2774 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H)))))
% 1.76/1.98  (assume a2775 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 1.76/1.98  (assume a2776 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H)))))
% 1.76/1.98  (assume a2777 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 1.76/1.98  (assume a2778 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H)))))
% 1.76/1.98  (assume a2779 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H) (tptp.c_Event_Oevent_OGets V_agent V_msg)))))
% 1.76/1.98  (assume a2780 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))))
% 1.76/1.98  (assume a2781 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent2 V_agent2_H))))
% 1.76/1.98  (assume a2782 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_msg V_msg_H))))
% 1.76/1.98  (assume a2783 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 1.76/1.98  (assume a2784 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 1.76/1.98  (assume a2785 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_ONotes V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 1.76/1.98  (assume a2786 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_ONotes V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 1.76/1.98  (assume a2787 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) tptp.tc_Event_Oevent) tptp.c_0)))
% 1.76/1.98  (assume a2788 (forall ((V_agent $$unsorted) (V_msg $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Event_Oevent_OGets V_agent V_msg) tptp.tc_Event_Oevent) tptp.c_0)))
% 1.76/1.98  (assume a2789 (forall ((V_agent $$unsorted) (V_msg $$unsorted)) (= (tptp.c_Nat_Osize (tptp.c_Event_Oevent_ONotes V_agent V_msg) tptp.tc_Event_Oevent) tptp.c_0)))
% 1.76/1.98  (assume a2790 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Osynth V_H)) tptp.tc_nat)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.v_sko__uhi V_H V_K)) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2791 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Osynth V_H)) tptp.tc_nat)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat) (= V_K (tptp.c_Message_OinvKey (tptp.v_sko__uhi V_H V_K))))))
% 1.76/1.98  (assume a2792 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Osynth V_H)) tptp.tc_nat))))
% 1.76/1.98  (assume a2793 (forall ((V_U $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_U) V_H tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_OinvKey V_U) (tptp.c_Message_OkeysFor (tptp.c_Message_Osynth V_H)) tptp.tc_nat))))
% 1.76/1.98  (assume a2794 (forall ((V_A $$unsorted)) (= (tptp.c_Event_Oknows V_A tptp.c_List_Olist_ONil) (tptp.c_Event_OinitState V_A))))
% 1.76/1.98  (assume a2795 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))))
% 1.76/1.98  (assume a2796 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_insert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2797 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)))))
% 1.76/1.98  (assume a2798 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_insert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2799 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oused V_evs))))
% 1.76/1.98  (assume a2800 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_union (tptp.c_Message_Oparts (tptp.c_insert V_X tptp.c_emptyset tptp.tc_Message_Omsg)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2801 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_union (tptp.c_Message_Oparts (tptp.c_insert V_X tptp.c_emptyset tptp.tc_Message_Omsg)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2802 (forall ((V_A $$unsorted) (V_H $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2803 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2804 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2805 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2806 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_insert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))))))
% 1.76/1.98  (assume a2807 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_X_H V_X))))
% 1.76/1.98  (assume a2808 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_Y_H V_Y))))
% 1.76/1.98  (assume a2809 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_X_H $$unsorted) (V_Y_H $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H))) (= V_X_H (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y))))))
% 1.76/1.98  (assume a2810 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_X_H $$unsorted) (V_Y_H $$unsorted)) (or (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H))) (= V_Y_H V_Y))))
% 1.76/1.98  (assume a2811 (forall ((V_X $$unsorted) (V_x $$unsorted)) (= (tptp.c_Message_OHPair V_X V_x) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_x)) V_x))))
% 1.76/1.98  (assume a2812 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_OHPair V_X V_Y)))))
% 1.76/1.98  (assume a2813 (forall ((V_N $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_OHPair V_X V_Y)))))
% 1.76/1.98  (assume a2814 (forall ((V_N $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_ONumber V_N) (tptp.c_Message_OHPair V_X V_Y)))))
% 1.76/1.98  (assume a2815 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_OHPair V_X V_Y)))))
% 1.76/1.98  (assume a2816 (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_OHash V_Z) (tptp.c_Message_OHPair V_X V_Y)))))
% 1.76/1.98  (assume a2817 (forall ((V_K $$unsorted) (V_X_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_K V_X_H) (tptp.c_Message_OHPair V_X V_Y)))))
% 1.76/1.98  (assume a2818 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2819 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2820 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2821 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OAgent V_A)))))
% 1.76/1.98  (assume a2822 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted)) (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OCrypt V_K V_X_H)))))
% 1.76/1.98  (assume a2823 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_Z $$unsorted)) (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OHash V_Z)))))
% 1.76/1.98  (assume a2824 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_K $$unsorted)) (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_OKey V_K)))))
% 1.76/1.98  (assume a2825 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_ONonce V_N)))))
% 1.76/1.98  (assume a2826 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Message_OHPair V_X V_Y) (tptp.c_Message_Omsg_ONumber V_N)))))
% 1.76/1.98  (assume a2827 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2828 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2829 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2830 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2831 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2832 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2833 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2834 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_X_H (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y))))))
% 1.76/1.98  (assume a2835 (forall ((V_X_H $$unsorted) (V_Y_H $$unsorted) (V_X $$unsorted) (V_Y $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_X_H V_Y_H) (tptp.c_Message_OHPair V_X V_Y))) (= V_Y_H V_Y))))
% 1.76/1.98  (assume a2836 (forall ((V_X $$unsorted) (V_x $$unsorted)) (= (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_x)) V_x) (tptp.c_Message_OHPair V_X V_x))))
% 1.76/1.98  (assume a2837 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2838 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2839 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2840 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2841 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2842 (forall ((V_N $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2843 (forall ((V_N $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2844 (forall ((V_n $$unsorted) (V_H $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_ONumber V_n) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2845 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2846 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2847 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2848 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2849 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2850 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_union (tptp.c_Message_Oanalz V_G) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz (tptp.c_union V_G V_H tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2851 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2852 (= (tptp.c_Message_Oanalz tptp.c_emptyset) tptp.c_emptyset))
% 1.76/1.98  (assume a2853 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oanalz V_H))))
% 1.76/1.98  (assume a2854 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_OAgent V_agt) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2855 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_OHPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_OHPair V_X V_Y) (tptp.c_insert (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oanalz (tptp.c_insert V_Y V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2856 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2857 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oanalz V_H)) tptp.tc_nat) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2858 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz (tptp.c_insert V_X (tptp.c_insert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2859 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2860 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_insert (tptp.c_Message_Omsg_ONumber V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_ONumber V_N) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2861 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 1.76/1.98  (assume a2862 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_set tptp.tc_Message_Omsg))) (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_set tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2863 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_set tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_set tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2864 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Osynth V_H)) (tptp.c_union (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2865 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_union (tptp.c_Message_Osynth V_G) V_H tptp.tc_Message_Omsg)) (tptp.c_union (tptp.c_Message_Oanalz (tptp.c_union V_G V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Osynth V_G) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2866 (forall ((V_c $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_in V_c (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2867 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_insert (tptp.c_Message_OHPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 1.76/1.98  (assume a2868 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 1.76/1.98  (assume a2869 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)))))
% 1.76/1.98  (assume a2870 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 1.76/1.98  (assume a2871 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_Omsg_OAgent V_agt) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2872 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2873 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_OHPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_OHPair V_X V_Y) (tptp.c_insert (tptp.c_Message_Omsg_OHash (tptp.c_Message_Omsg_OMPair V_X V_Y)) (tptp.c_Message_Oparts (tptp.c_insert V_Y V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2874 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_Omsg_OHash V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2875 (forall ((V_K $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2876 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts (tptp.c_insert V_X (tptp.c_insert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2877 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2878 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_insert (tptp.c_Message_Omsg_ONumber V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_insert (tptp.c_Message_Omsg_ONumber V_N) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2879 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Message_Oparts V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2880 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_set tptp.tc_Message_Omsg))) (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_set tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2881 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_set tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_set tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2882 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Osynth V_H)) (tptp.c_union (tptp.c_Message_Oparts V_H) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2883 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2884 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OHash V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2885 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2886 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2887 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_set tptp.tc_Message_Omsg))) (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_set tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2888 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_set tptp.tc_Message_Omsg))) (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_set tptp.tc_Message_Omsg)))))
% 1.76/1.98  (assume a2889 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Osynth V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2890 (forall ((V_K $$unsorted) (V_X $$unsorted)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Event_Oused tptp.c_List_Olist_ONil) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2891 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2892 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2893 (forall ((V_N $$unsorted) (V_B $$unsorted)) (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oparts (tptp.c_Event_OinitState V_B)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2894 (forall ((V_N $$unsorted)) (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Event_Oused tptp.c_List_Olist_ONil) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2895 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2896 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2897 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2898 (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= (tptp.c_Message_OinvKey V_y) V_y))))
% 1.76/1.98  (assume a2899 (forall ((V_A $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.c_Public_OshrK V_A)) (tptp.c_Public_OshrK V_A))))
% 1.76/1.98  (assume a2900 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Public_Okeymode_Okeymode__case V_y V_f2 tptp.c_Public_Okeymode_OSignature T_a) V_y)))
% 1.76/1.98  (assume a2901 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Public_Okeymode_Okeymode__case V_f1 V_y tptp.c_Public_Okeymode_OEncryption T_a) V_y)))
% 1.76/1.98  (assume a2902 (not (= tptp.c_Public_Okeymode_OSignature tptp.c_Public_Okeymode_OEncryption)))
% 1.76/1.98  (assume a2903 (not (= tptp.c_Public_Okeymode_OEncryption tptp.c_Public_Okeymode_OSignature)))
% 1.76/1.98  (assume a2904 (forall ((V_y $$unsorted) (V_f2 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Public_Okeymode_Okeymode__rec V_y V_f2 tptp.c_Public_Okeymode_OSignature T_a) V_y)))
% 1.76/1.98  (assume a2905 (forall ((V_f1 $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_Public_Okeymode_Okeymode__rec V_f1 V_y tptp.c_Public_Okeymode_OEncryption T_a) V_y)))
% 1.76/1.98  (assume a2906 (= (tptp.c_Nat_Osize tptp.c_Public_Okeymode_OSignature tptp.tc_Public_Okeymode) tptp.c_0))
% 1.76/1.98  (assume a2907 (= (tptp.c_Nat_Osize tptp.c_Public_Okeymode_OEncryption tptp.tc_Public_Okeymode) tptp.c_0))
% 1.76/1.98  (assume a2908 (forall ((V_C $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_OinitState V_C))) tptp.c_emptyset)))
% 1.76/1.98  (assume a2909 (forall ((V_b $$unsorted) (V_A $$unsorted)) (not (tptp.c_in (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A)) tptp.c_Message_OsymKeys tptp.tc_nat))))
% 1.76/1.98  (assume a2910 (forall ((V_b $$unsorted) (V_A $$unsorted)) (not (tptp.c_in (tptp.c_Public_OpublicKey V_b V_A) tptp.c_Message_OsymKeys tptp.tc_nat))))
% 1.76/1.98  (assume a2911 (forall ((V_A $$unsorted) (V_B $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey tptp.c_Public_Okeymode_OEncryption V_A)) (tptp.c_Public_OshrK V_B)))))
% 1.76/1.98  (assume a2912 (forall ((V_b $$unsorted) (V_A $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))) (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2913 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.c_Public_OshrK V_A) (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_C))))))
% 1.76/1.98  (assume a2914 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Public_OpublicKey V_c V_A_H)))))
% 1.76/1.98  (assume a2915 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2916 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.c_Public_OshrK V_A) (tptp.c_Public_OpublicKey V_b V_C)))))
% 1.76/1.98  (assume a2917 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Event_OinitState V_B) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2918 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.c_Public_OpublicKey V_b V_A) (tptp.c_Public_OpublicKey V_c V_A_H))) (= V_b V_c))))
% 1.76/1.98  (assume a2919 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.c_Public_OpublicKey V_b V_A) (tptp.c_Public_OpublicKey V_c V_A_H))) (= V_A V_A_H))))
% 1.76/1.98  (assume a2920 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2921 (forall ((V_c $$unsorted) (V_A_H $$unsorted) (V_b $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Public_OpublicKey V_c V_A_H) (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))))))
% 1.76/1.98  (assume a2922 (forall ((V_X $$unsorted)) (tptp.c_in (tptp.c_Public_OshrK V_X) tptp.c_Message_OsymKeys tptp.tc_nat)))
% 1.76/1.98  (assume a2923 (forall ((V_A $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2924 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2925 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2926 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Public_OshrK V_x) (tptp.c_Public_OshrK V_y))) (= V_x V_y))))
% 1.76/1.98  (assume a2927 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_C)) (tptp.c_Public_OshrK V_A)))))
% 1.76/1.98  (assume a2928 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Public_OpublicKey V_b V_C) (tptp.c_Public_OshrK V_A)))))
% 1.76/1.98  (assume a2929 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2930 (forall ((V_K $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_OinvKey V_K) tptp.c_Message_OsymKeys tptp.tc_nat)) (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat))))
% 1.76/1.98  (assume a2931 (forall ((V_K $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (tptp.c_in (tptp.c_Message_OinvKey V_K) tptp.c_Message_OsymKeys tptp.tc_nat))))
% 1.76/1.98  (assume a2932 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2933 (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2934 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2935 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2936 (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 1.76/1.98  (assume a2937 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2938 (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 1.76/1.98  (assume a2939 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2940 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_na $$unsorted) (V_nb $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OKey V_K))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 1.76/1.98  (assume a2941 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__wPE V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 1.76/1.98  (assume a2942 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent))) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB V_evs))))
% 1.76/1.98  (assume a2943 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_Yahalom_OKeyWithNonce V_K V_NB V_evs)) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)))))
% 1.76/1.98  (assume a2944 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent))) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB V_evs))))
% 1.76/1.98  (assume a2945 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_Yahalom_OKeyWithNonce V_K V_NB V_evs)) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)))))
% 1.76/1.98  (assume a2946 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_S $$unsorted) (V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_S V_A V_X) V_evs tptp.tc_Event_Oevent))) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB V_evs) (= tptp.c_Message_Oagent_OServer V_S))))
% 1.76/1.98  (assume a2947 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_S $$unsorted) (V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_S V_A V_X) V_evs tptp.tc_Event_Oevent))) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB V_evs) (= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent (tptp.v_sko__2VZ V_A V_K V_NB V_X)) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair (tptp.v_sko__2Va V_A V_K V_NB V_X) (tptp.c_Message_Omsg_ONonce V_NB))))) (tptp.v_sko__2Vb V_A V_K V_NB V_X))))))
% 1.76/1.98  (assume a2948 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_A $$unsorted) (V_U $$unsorted) (V_V $$unsorted) (V_W $$unsorted) (V_evs $$unsorted)) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_U) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_V (tptp.c_Message_Omsg_ONonce V_NB))))) V_W)) V_evs tptp.tc_Event_Oevent))))
% 1.76/1.98  (assume a2949 (forall ((V_K $$unsorted) (V_NB $$unsorted) (V_evs $$unsorted) (V_S $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_Yahalom_OKeyWithNonce V_K V_NB V_evs)) (tptp.c_Yahalom_OKeyWithNonce V_K V_NB (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_S V_A V_X) V_evs tptp.tc_Event_Oevent)))))
% 1.76/1.98  (assume a2950 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_x $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_x)) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 1.76/1.98  (assume a2951 (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2952 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2953 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) V_X) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 1.76/1.98  (assume a2954 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))))
% 1.76/1.98  (assume a2955 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OKey V_K))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2ji V_A V_B V_K V_evs)) (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2jj V_A V_B V_K V_evs)))))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OKey V_K))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 1.76/1.98  (assume a2956 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_A V_A_H))))
% 1.76/1.98  (assume a2957 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_B V_B_H))))
% 1.76/1.98  (assume a2958 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_na V_na_H))))
% 1.76/1.98  (assume a2959 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_nb V_nb_H))))
% 1.76/1.98  (assume a2960 (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent)))
% 1.76/1.98  (assume a2961 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2962 (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat))
% 1.76/1.98  (assume a2963 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 1.76/1.98  (assume a2964 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2965 (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))
% 1.76/1.98  (assume a2966 (not (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 1.76/1.98  (assume a2967 (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OKey tptp.v_K))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))
% 1.76/1.98  (assume a2968 (forall ((V_U $$unsorted)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_A tptp.v_B (tptp.c_Message_Omsg_OMPair V_U (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 1.76/1.98  (step t1 (cl (not (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) :rule or_pos)
% 1.76/1.98  (step t2 (cl (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat) (not (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)))) :rule reordering :premises (t1))
% 1.76/1.98  (step t3 (cl (not (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule or_pos)
% 1.76/1.98  (step t4 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule reordering :premises (t3))
% 1.76/1.98  (step t5 (cl (=> (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 1.76/1.98  (anchor :step t6)
% 1.76/1.98  (assume t6.a0 (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 1.76/1.98  (step t6.t1 (cl (or (not (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_K tptp.v_K) (:= V_evs tptp.v_evs3)))
% 1.76/1.98  (step t6.t2 (cl (not (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule or :premises (t6.t1))
% 1.76/1.98  (step t6.t3 (cl (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t6.t2 t6.a0))
% 1.76/1.98  (step t6 (cl (not (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule subproof :discharge (t6.a0))
% 1.76/1.98  (step t7 (cl (=> (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t5 t6))
% 1.76/1.98  (step t8 (cl (=> (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 1.76/1.98  (step t9 (cl (=> (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (=> (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t7 t8))
% 1.76/1.98  (step t10 (cl (=> (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule contraction :premises (t9))
% 1.76/1.98  (step t11 (cl (not (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule implies :premises (t10))
% 1.76/1.98  (step t12 (cl (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t11 a2951))
% 1.76/1.98  (step t13 (cl (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) :rule resolution :premises (t4 a2961 a2960 a2962 t12))
% 1.76/1.98  (step t14 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)))) :rule implies_neg1)
% 1.76/1.98  (anchor :step t15)
% 1.76/1.98  (assume t15.a0 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))))
% 1.76/1.98  (step t15.t1 (cl (or (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)))) :rule forall_inst :args ((:= V_K tptp.v_K) (:= V_X (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (:= V_H (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))))
% 1.76/1.98  (step t15.t2 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) :rule or :premises (t15.t1))
% 1.76/1.98  (step t15.t3 (cl (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) :rule resolution :premises (t15.t2 t15.a0))
% 1.76/1.98  (step t15 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) :rule subproof :discharge (t15.a0))
% 1.76/1.98  (step t16 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) :rule resolution :premises (t14 t15))
% 1.76/1.98  (step t17 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) (not (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)))) :rule implies_neg2)
% 1.76/1.98  (step t18 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)))) :rule resolution :premises (t16 t17))
% 1.76/1.98  (step t19 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat)))) :rule contraction :premises (t18))
% 1.76/1.98  (step t20 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) :rule implies :premises (t19))
% 1.76/1.98  (step t21 (cl (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_nat))) :rule resolution :premises (t20 a2954))
% 1.76/1.98  (step t22 (cl) :rule resolution :premises (t2 t13 t21 a2965 a2962))
% 1.76/1.98  
% 1.80/1.99  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.xN2OQfiF7L/cvc5---1.0.5_22282.smt2
% 1.80/1.99  % cvc5---1.0.5 exiting
% 1.80/1.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------