TSTP Solution File: SYN334+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n017.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 : Thu Sep 29 22:23:01 EDT 2022

% Result   : Theorem 141.96s 20.47s
% Output   : Proof 141.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Sep  5 02:03:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  [DMT] DMT loaded with preskolemization
% 0.12/0.35  [EQ] equality loaded.
% 0.12/0.35  [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35  Start search
% 0.12/0.35  nb_step : 1 - limit : 2
% 0.12/0.35  Launch Gotab with destructive = true
% 1.49/0.62  nb_step : 2 - limit : 4
% 1.49/0.62  Launch Gotab with destructive = true
% 141.05/20.03  % SZS output start Proof for theBenchmark.p
% 141.95/20.44  [277] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [278] ~! [Z5_5] :  (((big_f(Y4_0_0, Y4_0_0) => (big_f(Y4_0_0, Z5_5) <=> big_g(Y4_0_0, Z5_5))) => ((big_f(Y4_0_0, Y4_0_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, Y4_0_0) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [278] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_0_0, Y4_0_0) => (big_f(Y4_0_0, Z5_5) <=> big_g(Y4_0_0, Z5_5))) => ((big_f(Y4_0_0, Y4_0_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, Y4_0_0) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [281] ~((big_f(Y4_0_0, Y4_0_0) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))) => ((big_f(Y4_0_0, Y4_0_0) <=> (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [281] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, Y4_0_0) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))) => ((big_f(Y4_0_0, Y4_0_0) <=> (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [282] (big_f(Y4_0_0, Y4_0_0) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))), ~((big_f(Y4_0_0, Y4_0_0) <=> (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [282] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, Y4_0_0) <=> (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [285] (big_f(Y4_0_0, Y4_0_0) <=> (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [285] BETA_IMPLY : (big_f(Y4_0_0, Y4_0_0) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [286] ~big_f(Y4_0_0, Y4_0_0)
% 141.95/20.44  	-> [287] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [286] BETA_EQUIV : (big_f(Y4_0_0, Y4_0_0) <=> (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [292] ~big_f(Y4_0_0, Y4_0_0), ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [293] big_f(Y4_0_0, Y4_0_0), (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [293] CLOSURE : big_f(Y4_0_0, Y4_0_0)
% 141.95/20.44  
% 141.95/20.44  [292] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [295] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [295] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [300] ~big_g(Y4_0_0, Y4_0_0), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  	-> [301] big_g(Y4_0_0, Y4_0_0), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [300] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [301]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [312] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [312] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [315] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [315] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [316] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [316] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [319] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [319] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [320] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [320] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [322] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  	-> [323] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [322] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [323] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8018] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8019] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8018] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8019] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8062] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8063] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8063] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8062] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8091] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8092] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8091] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8128] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8129] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8128]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8141] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8141] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8144] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8144] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8145] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8145] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8148] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8148] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8174] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8174] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8177] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  	-> [8178] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8177] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8178] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8251] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8252] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8251] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8252] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8260] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8261] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8261] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8260] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8270] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8271] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8270] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8318] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8319] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8318]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8323] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8323] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8325] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8325] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8327] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8327] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8329] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8329] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8331] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8331] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8334] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8335] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8335] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8342] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8343] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8343] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8350] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8478] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8479] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8479] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8478] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8334] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8665] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8666] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8666] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8665] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8679] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8679] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8685] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8686] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8686] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8685] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8319]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8322] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8322] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8324] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8324] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8326] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8326] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8328] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8328] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8330] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8330] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8332] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8333] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8333] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8340] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8341] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8341] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8349] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8480] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8481] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8480] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8481] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8332] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8683] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8684] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8684] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8683] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8691] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8691] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8698] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8699] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8699] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8698] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8271] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8283] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8284] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8284]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8285] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8285] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8289] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8289] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8292] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8292] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8294] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8294] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8298] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8298] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8299] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8300] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8300] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8306] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8307] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8307] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8314] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8432] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8433] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8433] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8432] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8299] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8696] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8697] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8697] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8696] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8704] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8704] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8709] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8710] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8710] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8709] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8283]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8286] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8286] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8291] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8291] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8293] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8293] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8297] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8297] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8301] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8301] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8302] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8303] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8303] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8308] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8309] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8309] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8317] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8519] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8520] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8520] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8519] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8302] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8946] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8947] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8947] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8946] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8950] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8950] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8976] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8977] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8977] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8976] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8129]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8130] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8130] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8133] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8133] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8134] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8134] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8135] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8135] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8136] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8136] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8137] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  	-> [8138] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8137] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8138] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8530] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8531] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8530] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8531] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8534] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8535] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8535] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.95/20.44  
% 141.95/20.44  [8534] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8540] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8541] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8540] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8582] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8583] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8582]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8607] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8607] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8609] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8609] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8613] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8613] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8615] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8615] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8618] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8618] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8619] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8620] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8620] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8623] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8624] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8624] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8640] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8721] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8722] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8722] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8721] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8619] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8848] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8849] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8849] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8848] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8856] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8856] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8862] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8863] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8863] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8862] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8583]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8603] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8603] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8606] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8606] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8608] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8608] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8612] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8612] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8614] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8614] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8616] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8617] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8617] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8621] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8622] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8622] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8632] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8667] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8668] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8668] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8667] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8616] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8941] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8942] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8942] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8941] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8943] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8943] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8948] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8949] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8949] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8948] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8541] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8573] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8574] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8573]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8626] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8626] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8627] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8627] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8628] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8628] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8629] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8629] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8633] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8633] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8634] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8635] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8635] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8637] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8638] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8638] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8639] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8866] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [8867] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8867] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8866] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8634] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [9428] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [9429] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [9429] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [9428] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [9444] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [9444] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [9453] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [9454] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [9454] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [9453] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8574]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8590] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  
% 141.95/20.44  [8590] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.95/20.44  	-> [8593] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  
% 141.95/20.44  [8593] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.95/20.44  	-> [8596] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  
% 141.95/20.44  [8596] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.95/20.44  	-> [8597] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  
% 141.95/20.44  [8597] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8598] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8598] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8601] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  	-> [8602] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8602] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [8610] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [8611] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  
% 141.95/20.44  [8611] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [8625] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.95/20.44  	-> [9581] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  	-> [9582] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [9582] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.95/20.44  
% 141.95/20.44  [9581] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.95/20.44  
% 141.95/20.44  [8601] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.95/20.44  	-> [9771] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [9772] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9772] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  
% 141.96/20.44  [9771] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [9801] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [9801] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [9924] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [9925] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [9925] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  
% 141.96/20.44  [9924] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8092] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [8142] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  	-> [8143] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  
% 141.96/20.44  [8142]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8167] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  
% 141.96/20.44  [8167] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8170] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  
% 141.96/20.44  [8170] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  	-> [8171] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  
% 141.96/20.44  [8171] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8172] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8172] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8173] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8173] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8175] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  	-> [8176] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8175] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  
% 141.96/20.44  [8176] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8181] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8182] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8181] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8215] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8215] CLOSURE : ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8182] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8446] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [8447] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8446] CLOSURE : ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  
% 141.96/20.44  [8447] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8456] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [8457] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8457] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8476] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [8477] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8477] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8476]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8484] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  
% 141.96/20.44  [8484] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8485] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  
% 141.96/20.44  [8485] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  	-> [8486] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.44  
% 141.96/20.44  [8486] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.44  	-> [8487] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  
% 141.96/20.44  [8487] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8488] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8488] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8489] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [8490] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8490] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8496] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8497] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8497] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8525] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9088] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [9089] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9089] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [9088] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8489] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [9665] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9666] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [9666] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [9665] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9675] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9675] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9682] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [9683] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9683] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [9682] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8456] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8482] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [8483] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8483] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8482]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8491] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  
% 141.96/20.44  [8491] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8494] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  
% 141.96/20.44  [8494] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  	-> [8495] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.44  
% 141.96/20.44  [8495] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.44  	-> [8498] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  
% 141.96/20.44  [8498] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8499] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8499] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8500] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [8501] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8501] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8504] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8505] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8505] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8542] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9143] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [9144] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9143] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9144] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8500] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [9545] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9546] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [9546] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [9545] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9608] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9608] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [9696] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [9697] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [9697] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [9696] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8143]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8150] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  
% 141.96/20.44  [8150] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [8151] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  
% 141.96/20.44  [8151] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  	-> [8152] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  
% 141.96/20.44  [8152] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [8153] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [8153] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8156] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8156] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8157] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  	-> [8158] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8157] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  
% 141.96/20.44  [8158] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [8159] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8160] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [8159] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [8161] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8161] CLOSURE : ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [8160] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [10232] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [10233] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [10232] CLOSURE : ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.44  
% 141.96/20.44  [10233] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [10238] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [10239] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [10238] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [10258] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [10259] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [10259] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [10258]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [10310] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  
% 141.96/20.44  [10310] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.44  	-> [10313] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  
% 141.96/20.44  [10313] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.44  	-> [10314] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.44  
% 141.96/20.44  [10314] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.44  	-> [10315] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  
% 141.96/20.44  [10315] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [10317] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [10317] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [10318] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  	-> [10319] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [10319] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.44  	-> [10324] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [10325] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  
% 141.96/20.44  [10325] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [10352] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.44  	-> [10505] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  	-> [10506] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.44  
% 141.96/20.44  [10506] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.44  
% 141.96/20.44  [10505] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10318] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10586] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10587] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10587] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10586] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10592] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10592] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10603] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10604] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10604] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10603] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10239] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10248] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10249] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10249] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10248]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [10264] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [10264] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [10265] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [10265] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [10267] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [10267] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [10268] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [10268] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10269] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10269] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10270] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10271] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10271] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10276] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10277] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10277] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10316] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11052] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11053] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11053] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11052] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10270] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [11282] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11283] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [11283] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11282] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11350] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11350] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11500] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11501] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11501] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11500] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [287] BETA_EQUIV : (big_f(Y4_0_0, Y4_0_0) <=> (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [290] ~big_f(Y4_0_0, Y4_0_0), ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [291] big_f(Y4_0_0, Y4_0_0), (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [290] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [294] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [294] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [298] ~big_g(Y4_0_0, Y4_0_0), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [299] big_g(Y4_0_0, Y4_0_0), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [298] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [299] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [313] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [314] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [313]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [370] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [370] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [373] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [373] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [377] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [377] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [383] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [383] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [387] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [387] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [393] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [394] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [393] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [394] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [6793] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [6794] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [6793] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [6794] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [6831] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [6832] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [6832] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [6831] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [6840] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [6841] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [6841] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [6856] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [6857] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [6857]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6897] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [6897] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6898] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [6898] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [6899] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [6899] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [6900] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [6900] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [6901] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6901] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [6904] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [6905] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6904] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [6905] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7029] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7030] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7029] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7030] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7033] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7034] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7033] CLOSURE : ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7034] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7091] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7092] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7092] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7111] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7112] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7112] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7111]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7123] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [7123] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7125] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [7125] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [7129] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [7129] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [7133] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [7133] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7135] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7135] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7137] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7138] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7138] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7142] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7143] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7143] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7163] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7741] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7742] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7742] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7741] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7137] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8071] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8072] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8072] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8071] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8080] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8080] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8102] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8103] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8103] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8102] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7091] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7105] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7106] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7106] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7105]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7306] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [7306] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7307] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [7307] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [7321] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [7321] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [7322] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [7322] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7325] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7325] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7326] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7327] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7327] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7330] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7331] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7331] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7342] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7959] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7960] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7960] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7959] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7326] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8165] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8166] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8166] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8165] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8187] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8187] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8393] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8394] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8394] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8393] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6856]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6864] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [6864] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6867] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [6867] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [6868] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [6868] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [6869] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [6869] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [6870] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6870] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [6871] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [6872] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6871] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [6872] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8226] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8227] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8226] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8227] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8310] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8311] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8310] CLOSURE : ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8311] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8338] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8339] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8338] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8389] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8390] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8390] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8389]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8403] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [8403] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8404] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [8404] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [8405] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [8405] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [8408] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [8408] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8411] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8411] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8412] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8413] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8413] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8422] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8423] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8423] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8427] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8550] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8551] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8551] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8550] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8412] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8846] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8847] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8847] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8846] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8859] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8859] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8868] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8869] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8869] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8868] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8339] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8367] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8368] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8368] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8367]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8375] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [8375] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8376] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [8376] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [8378] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [8378] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [8381] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [8381] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8382] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8382] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8383] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8384] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8384] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8401] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8402] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8402] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8469] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9500] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9501] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9501] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9500] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8383] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10080] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10081] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10081] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10080] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10133] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10133] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10150] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10151] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10151] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10150] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6840] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [6854] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [6855] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [6855]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6875] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [6875] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6876] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [6876] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [6877] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [6877] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [6878] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6878] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [6879] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [6879] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [6882] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [6883] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [6882] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [6883] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7074] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7075] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7074] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7075] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7079] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7080] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7080] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7079] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7081] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7082] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7081] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7085] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7086] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7085]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7384] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [7384] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7385] ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [7385] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [7386] ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7386] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7389] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7389] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7390] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7390] BETA_IMPLY : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7391] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [7392] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7392] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7399] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7400] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7400] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7403] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7444] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7445] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7444] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7445] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7391] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7657] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7658] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7657] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7666] big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7666] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7680] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7681] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7681] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7680] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7658] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7086]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7175] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [7175] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7180] ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [7180] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [7181] ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7181] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7182] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7182] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7183] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7183] BETA_IMPLY : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7184] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [7185] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7185] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7186] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7187] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7187] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7257] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7578] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7579] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7578] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7579] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7184] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7916] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7917] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7917] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7916] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7947] big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7947] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7950] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7951] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7951] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [7950] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7082] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7196] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7197] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7196]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7247] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [7247] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7248] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [7248] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [7261] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [7261] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7262] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7262] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7263] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7263] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7266] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7267] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7267] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7274] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7275] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7275] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7280] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7340] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7341] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7341] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7340] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7266] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7426] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7427] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7427] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7426] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7431] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7431] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7436] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7437] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7437] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7436] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7197]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7227] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [7227] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [7230] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [7230] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [7231] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [7231] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [7234] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [7234] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7235] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7235] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7236] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [7237] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7237] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7241] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7242] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7242] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7251] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7670] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7671] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7671] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7670] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7236] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [7930] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7931] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [7931] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7930] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7936] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7936] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [7941] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [7942] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [7942] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [7941] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [6854]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6923] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [6923] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [6924] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [6924] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [6925] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [6925] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [6926] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [6926] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [6927] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [6927] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [6928] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [6929] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [6928] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [6929] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8725] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8726] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8725] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [8726] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8731] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [8732] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8732] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [8731] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8737] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [8738] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8737] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8745] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [8746] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8745]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8835] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [8835] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8836] ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [8836] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [8837] ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8837] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8838] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8838] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8841] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8841] BETA_IMPLY : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8842] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [8843] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8843] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8844] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8845] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8845] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [8851] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8986] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [8987] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8986] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8987] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [8842] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9268] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9269] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9269] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9268] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9474] big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9474] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9490] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9491] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9491] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9490] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8746]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8770] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [8770] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8772] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [8772] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [8776] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [8776] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8801] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8801] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8802] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8802] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8803] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [8804] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8804] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8807] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8808] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8808] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8894] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9315] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9316] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9316] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9315] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8803] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9732] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9733] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9733] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9732] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9740] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9740] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9749] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9750] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9750] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9749] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8738] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8757] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [8758] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8757]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8895] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [8895] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8896] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [8896] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [8899] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [8899] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [8900] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8900] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8901] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8901] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8902] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [8903] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8903] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8904] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8905] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8905] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [8910] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9047] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9048] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9048] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9047] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8902] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9465] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9466] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9466] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9465] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9494] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9494] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9503] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9504] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9504] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9503] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8758]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8850] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [8850] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [8852] ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [8852] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [8853] ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [8853] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [8854] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [8854] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8855] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8855] BETA_IMPLY : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8857] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [8858] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8858] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [8860] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [8861] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [8861] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [8888] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9053] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9054] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9053] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9054] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [8857] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10236] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10237] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10237] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [10236] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10266] big_f(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10266] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10304] ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [10305] big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10305] CLOSURE : big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [10304] CLOSURE : big_g(skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [314]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [339] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [339] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [347] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [347] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [356] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [356] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [382] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [382] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [386] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [386] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [388] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [389] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [388] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [389] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9015] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9016] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9015] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9016] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9021] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9022] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9022] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9021] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9025] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9026] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9025] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9031] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9032] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9031]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9060] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9060] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9064] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9064] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9068] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9068] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9070] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9070] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9073] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9073] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9076] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [9077] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9076] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9077] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9123] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9124] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9123] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9124] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9137] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9138] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9138] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9137] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9163] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9164] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9163] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9238] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9239] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9239]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9328] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9328] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9331] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9331] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9335] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [9335] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [9338] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9338] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9339] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9339] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9340] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9341] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9341] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9346] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9347] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9347] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9372] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10072] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10073] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10073] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10072] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9340] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10625] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10626] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10625] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10629] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10629] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10692] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10693] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10693] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10692] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10626] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9238]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9404] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9404] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9407] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9407] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9408] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [9408] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [9411] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9411] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9412] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9412] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9413] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9414] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9414] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9418] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9419] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9419] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9427] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10556] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10557] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10556] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10557] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9413] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10817] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10818] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10818] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10817] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10821] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10821] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10826] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10827] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10827] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10826] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9164] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9200] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9201] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9200]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9240] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9240] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9241] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9241] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9244] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [9244] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [9245] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9245] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9246] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9246] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9247] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9248] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9248] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9312] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9313] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9313] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9319] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10111] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10112] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10112] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10111] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9247] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10621] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10622] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10622] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10621] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10648] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10648] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10663] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10664] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10664] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10663] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9201]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9209] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9209] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9213] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9213] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9214] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [9214] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [9217] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9217] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9221] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9221] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9223] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9224] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9224] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9229] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9230] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9230] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9282] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10290] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10291] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10291] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10290] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9223] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10835] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10836] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10836] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10835] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10853] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10853] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10856] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10857] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10857] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10856] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9032]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9036] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9036] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9038] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9038] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9042] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9042] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9044] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9044] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9046] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9046] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9051] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [9052] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9051] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [9052] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11058] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11059] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11058] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [11059] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11060] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11061] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11061] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [11060] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11064] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11065] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11064] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11068] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11069] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11069]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11081] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [11081] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11083] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [11083] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [11087] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [11087] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [11089] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [11089] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11092] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11092] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11093] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11094] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11094] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11097] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11098] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11098] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11196] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11233] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11234] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11234] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11233] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11093] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11525] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11526] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11526] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11525] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11535] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11535] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11581] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11582] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11582] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11581] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11068]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11213] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [11213] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11214] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [11214] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [11215] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [11215] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [11216] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [11216] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11217] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11217] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11218] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11219] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11219] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11226] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11227] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11227] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11261] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11457] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11458] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11458] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11457] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11218] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11659] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11660] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11660] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11659] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11665] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11665] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11671] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11672] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11672] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11671] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11065] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11131] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11132] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11131]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11170] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [11170] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11171] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [11171] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [11172] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [11172] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [11175] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [11175] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11178] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11178] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11180] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11181] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11181] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11182] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11183] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11183] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11248] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11502] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11503] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11503] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11502] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11180] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11588] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11589] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11589] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11588] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11594] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11594] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11605] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11606] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11606] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11605] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11132]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11152] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [11152] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [11153] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [11153] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [11154] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [11154] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [11155] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [11155] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11156] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11156] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11157] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [11158] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11158] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11162] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11163] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11163] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11266] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11583] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11584] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11584] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11583] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11157] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11720] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11721] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11721] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11720] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11728] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11728] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11743] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [11744] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11744] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [11743] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9026] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [9029] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9030] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9030]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9035] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9035] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9037] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9037] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9039] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [9039] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [9043] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9043] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9045] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9045] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9049] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9050] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9049] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9050] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9055] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9056] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9055] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9071] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9071] CLOSURE : ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9056] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10568] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10569] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10568] CLOSURE : ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [10569] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10574] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10575] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10575] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10615] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10616] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10616] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10615]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [10675] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [10675] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [10676] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [10676] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [10677] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [10677] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [10678] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [10678] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10679] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10679] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10684] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10685] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10685] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10690] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10691] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10691] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10705] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11107] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11108] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11108] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11107] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10684] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [11275] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11276] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [11276] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11275] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11281] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11281] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11322] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11323] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11323] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11322] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10574] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [10646] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10647] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10647] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10646]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [10694] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [10694] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [10695] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [10695] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [10698] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [10698] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [10699] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [10699] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10702] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10702] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10703] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [10704] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10704] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [10708] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [10709] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [10709] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [10775] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11478] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11479] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11479] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11478] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [10703] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [11635] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11636] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [11636] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11635] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11644] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11644] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [11649] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [11650] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [11650] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [11649] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9029]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9059] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [9059] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [9063] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [9063] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [9067] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [9067] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [9069] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [9069] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9072] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9072] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9074] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [9075] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9074] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [9075] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [9080] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9081] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [9080] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [9090] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9090] CLOSURE : ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [9081] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13908] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [13909] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13908] CLOSURE : ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [13909] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13910] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [13911] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13911] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13914] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [13915] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13915] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13914]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [13917] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [13917] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [13919] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [13919] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [13921] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [13921] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [13923] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [13923] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13925] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13925] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13928] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [13929] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13929] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13932] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13933] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13933] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13935] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13936] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13937] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13936] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13937] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13928] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13962] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13963] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13963] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13962] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13966] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13966] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13967] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13968] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13967] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13968] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13910] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13912] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [13913] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13913] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13912]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [13916] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [13916] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [13918] ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [13918] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [13920] ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  
% 141.96/20.45  [13920] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 141.96/20.45  	-> [13922] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  
% 141.96/20.45  [13922] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))) => (big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13924] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))), ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13924] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) => (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13926] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [13927] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13927] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13930] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13931] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13931] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13934] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13969] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13970] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13969] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13970] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13926] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 141.96/20.45  	-> [13981] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13982] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [13982] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13981] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13983] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13983] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))) <=> big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [13984] ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [13985] big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), ~big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [13985] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [13984] CLOSURE : big_g(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [291] BETA_NOT_EQUIV : ~(big_g(Y4_0_0, Y4_0_0) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [14510] ~big_g(Y4_0_0, Y4_0_0), big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [14511] big_g(Y4_0_0, Y4_0_0), ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14511] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [14514] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [14515] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14514] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [14522] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [14523] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14523] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14522]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [14533] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [14533] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [14541] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [14541] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [14546] ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  
% 141.96/20.45  [14546] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 141.96/20.45  	-> [14553] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  
% 141.96/20.45  [14553] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [14559] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [14559] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [14566] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [14567] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [14567] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [14576] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [14577] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [14577] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14584] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [14600] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [14601] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [14601] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14600] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [14566] BETA_EQUIV : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 141.96/20.45  	-> [14722] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [14723] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  
% 141.96/20.45  [14723] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14722] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [14734] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [14734] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))))
% 141.96/20.45  	-> [14741] ~big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [14742] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [14741] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  
% 141.96/20.45  [14742] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14515] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.45  	-> [14520] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  	-> [14521] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14521] CLOSURE : big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.45  
% 141.96/20.45  [14520]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [14527] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [14527] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [14530] ~! [Z5_5] :  (((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) => (big_f(X3_370_0, Z5_5) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), Z5_5))) => ((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [14530] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) => (big_f(X3_370_0, Z5_5) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), Z5_5))) => ((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [14534] ~((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) => (big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))) => ((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))))
% 141.96/20.45  
% 141.96/20.45  [14534] ALPHA_NOT_IMPLY : ~((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) => (big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))) => ((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))))
% 141.96/20.45  	-> [14538] (big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) => (big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))), ~((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.45  
% 141.96/20.45  [14538] ALPHA_NOT_IMPLY : ~((big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.45  	-> [14544] (big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))), ~(big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  
% 141.96/20.45  [14544] BETA_IMPLY : (big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) => (big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.45  	-> [14547] ~big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.45  	-> [14548] (big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  
% 141.96/20.45  [14547] CLOSURE : ~big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.45  
% 141.96/20.45  [14548] BETA_EQUIV : (big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.45  	-> [16666] ~big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), ~(big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  	-> [16667] big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  
% 141.96/20.45  [16666] CLOSURE : ~big_f(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.45  
% 141.96/20.45  [16667] BETA_NOT_EQUIV : ~(big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  	-> [16668] ~big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.45  	-> [16669] big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), ~big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.45  
% 141.96/20.45  [16668] CLOSURE : ~big_g(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.45  
% 141.96/20.45  [16669] BETA_EQUIV : (big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  	-> [16678] ~big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))), ~big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.45  	-> [16679] big_f(X3_370_0, skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))), big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.45  
% 141.96/20.45  [16679] BETA_IMPLY : (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  	-> [16685] ~big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.45  	-> [16686] big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.45  
% 141.96/20.45  [16686] CLOSURE : big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.45  
% 141.96/20.45  [16685]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [16697] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  
% 141.96/20.45  [16697] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.45  	-> [16701] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) => (big_f(skolem_Z55(X3_370_0, X3_370_0), Z5_5) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), Z5_5))) => ((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  
% 141.96/20.45  [16701] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) => (big_f(skolem_Z55(X3_370_0, X3_370_0), Z5_5) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), Z5_5))) => ((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.45  	-> [16702] ~((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) => (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))) => ((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))))
% 141.96/20.45  
% 141.96/20.45  [16702] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) => (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))) => ((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))))
% 141.96/20.45  	-> [16705] (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) => (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))), ~((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.45  
% 141.96/20.45  [16705] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))) => (big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.45  	-> [16706] (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))), ~(big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.45  
% 141.96/20.45  [16706] BETA_IMPLY : (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) => (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.45  	-> [16707] ~big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.45  	-> [16708] (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) <=> big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  
% 141.96/20.46  [16708] BETA_EQUIV : (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.46  	-> [16709] ~big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), ~(big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  	-> [16710] big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  
% 141.96/20.46  [16710] CLOSURE : big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.46  
% 141.96/20.46  [16717] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  	-> [16724] ~big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  	-> [16725] big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), ~big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  
% 141.96/20.46  [16725] CLOSURE : big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.46  
% 141.96/20.46  [16724] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  
% 141.96/20.46  [16707] BETA_EQUIV : (big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))))
% 141.96/20.46  	-> [16743] ~big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), ~(big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  	-> [16744] big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), (big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  
% 141.96/20.46  [16744] CLOSURE : big_f(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.46  
% 141.96/20.46  [16743] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  	-> [16747] big_f(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))), ~big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  
% 141.96/20.46  [16747] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  	-> [16755] ~big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  	-> [16756] big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), ~big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  
% 141.96/20.46  [16756] CLOSURE : big_g(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0))
% 141.96/20.46  
% 141.96/20.46  [16755] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(skolem_Z55(X3_370_0, X3_370_0), skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  
% 141.96/20.46  [16678] BETA_IMPLY : (big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))) => big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0))))
% 141.96/20.46  	-> [16682] ~big_f(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  	-> [16683] big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  
% 141.96/20.46  [16683] CLOSURE : big_g(skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)), skolem_Z55(X3_370_0, skolem_Z55(X3_370_0, X3_370_0)))
% 141.96/20.46  
% 141.96/20.46  [16682]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [16684] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [16684] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [16687] ~! [Z5_5] :  (((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) => (big_f(X3_437_0, Z5_5) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), Z5_5))) => ((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [16687] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) => (big_f(X3_437_0, Z5_5) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), Z5_5))) => ((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [16688] ~((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) => (big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))) => ((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  
% 141.96/20.46  [16688] ALPHA_NOT_IMPLY : ~((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) => (big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))) => ((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  	-> [16689] (big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) => (big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))), ~((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  
% 141.96/20.46  [16689] ALPHA_NOT_IMPLY : ~((big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16692] (big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))), ~(big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16692] BETA_IMPLY : (big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) => (big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16693] ~big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  	-> [16694] (big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16693] CLOSURE : ~big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  
% 141.96/20.46  [16694] BETA_EQUIV : (big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16695] ~big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), ~(big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16696] big_f(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16695] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16698] big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), ~big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16698] CLOSURE : ~big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16696] BETA_NOT_EQUIV : ~(big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16718] ~big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  	-> [16719] big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), ~big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16718] CLOSURE : ~big_g(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  
% 141.96/20.46  [16719] BETA_EQUIV : (big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16720] ~big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), ~big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  	-> [16721] big_f(X3_437_0, skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16720] BETA_IMPLY : (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16722] ~big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  	-> [16723] big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16723] CLOSURE : big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16722]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [16726] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [16726] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [16727] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), Z5_5) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), Z5_5))) => ((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [16727] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), Z5_5) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), Z5_5))) => ((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [16730] ~((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))) => ((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))) => (big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))))
% 141.96/20.46  
% 141.96/20.46  [16730] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))) => ((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))) => (big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))))
% 141.96/20.46  	-> [16731] (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))), ~((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))) => (big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  
% 141.96/20.46  [16731] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))) => (big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  	-> [16732] (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))), ~(big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  
% 141.96/20.46  [16732] BETA_IMPLY : (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  	-> [16733] ~big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  	-> [16734] (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) <=> big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  
% 141.96/20.46  [16734] BETA_EQUIV : (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  	-> [16737] ~big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16738] big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  
% 141.96/20.46  [16738] CLOSURE : big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16740] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16801] ~big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16802] big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), ~big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16801] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16802] CLOSURE : big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16733] BETA_EQUIV : (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  	-> [16809] ~big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16810] big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), (big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  
% 141.96/20.46  [16810] CLOSURE : big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16809] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16815] big_f(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16815] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16816] ~big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16817] big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), ~big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16816] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))), skolem_Z55(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16817] CLOSURE : big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16721] BETA_IMPLY : (big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16745] ~big_f(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  	-> [16746] big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16746] CLOSURE : big_g(skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(X3_437_0, skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16745]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [16748] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [16748] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [16749] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) => (big_f(skolem_Z55(X3_437_0, X3_437_0), Z5_5) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), Z5_5))) => ((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [16749] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) => (big_f(skolem_Z55(X3_437_0, X3_437_0), Z5_5) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), Z5_5))) => ((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [16750] ~((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) => (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))) => ((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  
% 141.96/20.46  [16750] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) => (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))) => ((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))))
% 141.96/20.46  	-> [16751] (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) => (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))), ~((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  
% 141.96/20.46  [16751] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))) => (big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16752] (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))), ~(big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16752] BETA_IMPLY : (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) => (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16753] ~big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  	-> [16754] (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) <=> big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16754] BETA_EQUIV : (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16757] ~big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), ~(big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16758] big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16758] CLOSURE : big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  
% 141.96/20.46  [16765] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16826] ~big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  	-> [16827] big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), ~big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16826] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16827] CLOSURE : big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  
% 141.96/20.46  [16753] BETA_EQUIV : (big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))))
% 141.96/20.46  	-> [16838] ~big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), ~(big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16839] big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), (big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  
% 141.96/20.46  [16839] CLOSURE : big_f(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  
% 141.96/20.46  [16838] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))) => big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16840] big_f(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))), ~big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16840] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)) <=> big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))))
% 141.96/20.46  	-> [16841] ~big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  	-> [16842] big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), ~big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16841] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)), skolem_Z55(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0)))
% 141.96/20.46  
% 141.96/20.46  [16842] CLOSURE : big_g(skolem_Z55(X3_437_0, X3_437_0), skolem_Z55(X3_437_0, X3_437_0))
% 141.96/20.46  
% 141.96/20.46  [14510] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.46  	-> [14512] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.46  	-> [14513] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_g(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.46  
% 141.96/20.46  [14512] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.46  	-> [14518] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.46  	-> [14519] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.46  
% 141.96/20.46  [14518]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14526] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14526] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14532] ~! [Z5_5] :  (((big_f(Y4_371_0, Y4_371_0) => (big_f(Y4_371_0, Z5_5) <=> big_g(Y4_371_0, Z5_5))) => ((big_f(Y4_371_0, Y4_371_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_371_0, Y4_371_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14532] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_371_0, Y4_371_0) => (big_f(Y4_371_0, Z5_5) <=> big_g(Y4_371_0, Z5_5))) => ((big_f(Y4_371_0, Y4_371_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_371_0, Y4_371_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14540] ~((big_f(Y4_371_0, Y4_371_0) => (big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)) <=> big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)))) => ((big_f(Y4_371_0, Y4_371_0) <=> (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))) => (big_g(Y4_371_0, Y4_371_0) <=> big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))))
% 141.96/20.46  
% 141.96/20.46  [14540] ALPHA_NOT_IMPLY : ~((big_f(Y4_371_0, Y4_371_0) => (big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)) <=> big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)))) => ((big_f(Y4_371_0, Y4_371_0) <=> (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))) => (big_g(Y4_371_0, Y4_371_0) <=> big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))))
% 141.96/20.46  	-> [14549] (big_f(Y4_371_0, Y4_371_0) => (big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)) <=> big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)))), ~((big_f(Y4_371_0, Y4_371_0) <=> (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))) => (big_g(Y4_371_0, Y4_371_0) <=> big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))))
% 141.96/20.46  
% 141.96/20.46  [14549] ALPHA_NOT_IMPLY : ~((big_f(Y4_371_0, Y4_371_0) <=> (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))) => (big_g(Y4_371_0, Y4_371_0) <=> big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))))
% 141.96/20.46  	-> [14555] (big_f(Y4_371_0, Y4_371_0) <=> (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))), ~(big_g(Y4_371_0, Y4_371_0) <=> big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  
% 141.96/20.46  [14555] BETA_IMPLY : (big_f(Y4_371_0, Y4_371_0) => (big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)) <=> big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0))))
% 141.96/20.46  	-> [14557] ~big_f(Y4_371_0, Y4_371_0)
% 141.96/20.46  	-> [14558] (big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)) <=> big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  
% 141.96/20.46  [14557] CLOSURE : ~big_f(Y4_371_0, Y4_371_0)
% 141.96/20.46  
% 141.96/20.46  [14558] BETA_EQUIV : (big_f(Y4_371_0, Y4_371_0) <=> (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))))
% 141.96/20.46  	-> [14570] ~big_f(Y4_371_0, Y4_371_0), ~(big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  	-> [14571] big_f(Y4_371_0, Y4_371_0), (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  
% 141.96/20.46  [14570] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  	-> [14583] big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)), ~big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  
% 141.96/20.46  [14583] CLOSURE : ~(big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  
% 141.96/20.46  [14571] BETA_NOT_EQUIV : ~(big_g(Y4_371_0, Y4_371_0) <=> big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  	-> [14590] ~big_g(Y4_371_0, Y4_371_0), big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  	-> [14591] big_g(Y4_371_0, Y4_371_0), ~big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  
% 141.96/20.46  [14591] CLOSURE : big_g(Y4_371_0, Y4_371_0)
% 141.96/20.46  
% 141.96/20.46  [14590] BETA_EQUIV : (big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)) <=> big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  	-> [14596] ~big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)), ~big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  	-> [14597] big_f(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0)), big_g(Y4_371_0, skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  
% 141.96/20.46  [14596] BETA_IMPLY : (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  	-> [14607] ~big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  	-> [14608] big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  
% 141.96/20.46  [14608]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14629] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14629] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14635] ~! [Z5_5] :  (((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) => (big_f(X3_379_0, Z5_5) <=> big_g(skolem_Z55(X3_379_0, X3_379_0), Z5_5))) => ((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14635] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) => (big_f(X3_379_0, Z5_5) <=> big_g(skolem_Z55(X3_379_0, X3_379_0), Z5_5))) => ((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14640] ~((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) => (big_f(X3_379_0, skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) <=> big_g(skolem_Z55(X3_379_0, X3_379_0), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))) => ((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))) => (big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))))
% 141.96/20.46  
% 141.96/20.46  [14640] ALPHA_NOT_IMPLY : ~((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) => (big_f(X3_379_0, skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) <=> big_g(skolem_Z55(X3_379_0, X3_379_0), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))) => ((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))) => (big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))))
% 141.96/20.46  	-> [14647] (big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) => (big_f(X3_379_0, skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) <=> big_g(skolem_Z55(X3_379_0, X3_379_0), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))), ~((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))) => (big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))))
% 141.96/20.46  
% 141.96/20.46  [14647] ALPHA_NOT_IMPLY : ~((big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))) => (big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))))
% 141.96/20.46  	-> [14655] (big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))), ~(big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  
% 141.96/20.46  [14655] BETA_IMPLY : (big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) => (big_f(X3_379_0, skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) <=> big_g(skolem_Z55(X3_379_0, X3_379_0), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))))
% 141.96/20.46  	-> [14657] ~big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))
% 141.96/20.46  	-> [14658] (big_f(X3_379_0, skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) <=> big_g(skolem_Z55(X3_379_0, X3_379_0), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  
% 141.96/20.46  [14658] BETA_EQUIV : (big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))))
% 141.96/20.46  	-> [14669] ~big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), ~(big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  	-> [14670] big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  
% 141.96/20.46  [14670] CLOSURE : big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))
% 141.96/20.46  
% 141.96/20.46  [14718] BETA_NOT_EQUIV : ~(big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  	-> [14776] ~big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))
% 141.96/20.46  	-> [14777] big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), ~big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))
% 141.96/20.46  
% 141.96/20.46  [14777] CLOSURE : big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))
% 141.96/20.46  
% 141.96/20.46  [14776] CLOSURE : big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))
% 141.96/20.46  
% 141.96/20.46  [14657] BETA_EQUIV : (big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))))
% 141.96/20.46  	-> [14910] ~big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), ~(big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  	-> [14911] big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), (big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  
% 141.96/20.46  [14911] CLOSURE : big_f(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))
% 141.96/20.46  
% 141.96/20.46  [14910] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))) => big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  	-> [14920] big_f(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))), ~big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))
% 141.96/20.46  
% 141.96/20.46  [14920] BETA_NOT_EQUIV : ~(big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)) <=> big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))))
% 141.96/20.46  	-> [14925] ~big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))
% 141.96/20.46  	-> [14926] big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), ~big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))
% 141.96/20.46  
% 141.96/20.46  [14926] CLOSURE : big_g(X3_379_0, skolem_Z55(X3_379_0, X3_379_0))
% 141.96/20.46  
% 141.96/20.46  [14925] CLOSURE : big_g(skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)), skolem_Z55(X3_379_0, skolem_Z55(X3_379_0, X3_379_0)))
% 141.96/20.46  
% 141.96/20.46  [14607]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14625] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14625] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14632] ~! [Z5_5] :  (((big_f(Y4_377_0, Y4_377_0) => (big_f(Y4_377_0, Z5_5) <=> big_g(Y4_377_0, Z5_5))) => ((big_f(Y4_377_0, Y4_377_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_377_0, Y4_377_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14632] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_377_0, Y4_377_0) => (big_f(Y4_377_0, Z5_5) <=> big_g(Y4_377_0, Z5_5))) => ((big_f(Y4_377_0, Y4_377_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_377_0, Y4_377_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14634] ~((big_f(Y4_377_0, Y4_377_0) => (big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)) <=> big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)))) => ((big_f(Y4_377_0, Y4_377_0) <=> (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))) => (big_g(Y4_377_0, Y4_377_0) <=> big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))))
% 141.96/20.46  
% 141.96/20.46  [14634] ALPHA_NOT_IMPLY : ~((big_f(Y4_377_0, Y4_377_0) => (big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)) <=> big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)))) => ((big_f(Y4_377_0, Y4_377_0) <=> (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))) => (big_g(Y4_377_0, Y4_377_0) <=> big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))))
% 141.96/20.46  	-> [14639] (big_f(Y4_377_0, Y4_377_0) => (big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)) <=> big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)))), ~((big_f(Y4_377_0, Y4_377_0) <=> (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))) => (big_g(Y4_377_0, Y4_377_0) <=> big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))))
% 141.96/20.46  
% 141.96/20.46  [14639] ALPHA_NOT_IMPLY : ~((big_f(Y4_377_0, Y4_377_0) <=> (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))) => (big_g(Y4_377_0, Y4_377_0) <=> big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))))
% 141.96/20.46  	-> [14645] (big_f(Y4_377_0, Y4_377_0) <=> (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))), ~(big_g(Y4_377_0, Y4_377_0) <=> big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  
% 141.96/20.46  [14645] BETA_IMPLY : (big_f(Y4_377_0, Y4_377_0) => (big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)) <=> big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0))))
% 141.96/20.46  	-> [14648] ~big_f(Y4_377_0, Y4_377_0)
% 141.96/20.46  	-> [14649] (big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)) <=> big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  
% 141.96/20.46  [14648] CLOSURE : ~big_f(Y4_377_0, Y4_377_0)
% 141.96/20.46  
% 141.96/20.46  [14649] BETA_EQUIV : (big_f(Y4_377_0, Y4_377_0) <=> (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))))
% 141.96/20.46  	-> [14671] ~big_f(Y4_377_0, Y4_377_0), ~(big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  	-> [14672] big_f(Y4_377_0, Y4_377_0), (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  
% 141.96/20.46  [14671] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  	-> [14701] big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)), ~big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  
% 141.96/20.46  [14701] CLOSURE : ~(big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  
% 141.96/20.46  [14672] BETA_NOT_EQUIV : ~(big_g(Y4_377_0, Y4_377_0) <=> big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  	-> [14738] ~big_g(Y4_377_0, Y4_377_0), big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  	-> [14739] big_g(Y4_377_0, Y4_377_0), ~big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  
% 141.96/20.46  [14739] CLOSURE : big_g(Y4_377_0, Y4_377_0)
% 141.96/20.46  
% 141.96/20.46  [14738] BETA_EQUIV : (big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)) <=> big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  	-> [14746] ~big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)), ~big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  	-> [14747] big_f(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0)), big_g(Y4_377_0, skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  
% 141.96/20.46  [14746] BETA_IMPLY : (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  	-> [14753] ~big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  	-> [14754] big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  
% 141.96/20.46  [14754]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14786] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14786] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14787] ~! [Z5_5] :  (((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) => (big_f(X3_389_0, Z5_5) <=> big_g(skolem_Z55(X3_389_0, X3_389_0), Z5_5))) => ((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14787] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) => (big_f(X3_389_0, Z5_5) <=> big_g(skolem_Z55(X3_389_0, X3_389_0), Z5_5))) => ((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14792] ~((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) => (big_f(X3_389_0, skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) <=> big_g(skolem_Z55(X3_389_0, X3_389_0), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))) => ((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))) => (big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))))
% 141.96/20.46  
% 141.96/20.46  [14792] ALPHA_NOT_IMPLY : ~((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) => (big_f(X3_389_0, skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) <=> big_g(skolem_Z55(X3_389_0, X3_389_0), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))) => ((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))) => (big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))))
% 141.96/20.46  	-> [14794] (big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) => (big_f(X3_389_0, skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) <=> big_g(skolem_Z55(X3_389_0, X3_389_0), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))), ~((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))) => (big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))))
% 141.96/20.46  
% 141.96/20.46  [14794] ALPHA_NOT_IMPLY : ~((big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))) => (big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))))
% 141.96/20.46  	-> [14796] (big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))), ~(big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  
% 141.96/20.46  [14796] BETA_IMPLY : (big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) => (big_f(X3_389_0, skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) <=> big_g(skolem_Z55(X3_389_0, X3_389_0), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))))
% 141.96/20.46  	-> [14803] ~big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))
% 141.96/20.46  	-> [14804] (big_f(X3_389_0, skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) <=> big_g(skolem_Z55(X3_389_0, X3_389_0), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  
% 141.96/20.46  [14804] BETA_EQUIV : (big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))))
% 141.96/20.46  	-> [14807] ~big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), ~(big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  	-> [14808] big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  
% 141.96/20.46  [14808] CLOSURE : big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))
% 141.96/20.46  
% 141.96/20.46  [14817] BETA_NOT_EQUIV : ~(big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  	-> [14961] ~big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))
% 141.96/20.46  	-> [14962] big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), ~big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))
% 141.96/20.46  
% 141.96/20.46  [14962] CLOSURE : big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))
% 141.96/20.46  
% 141.96/20.46  [14961] CLOSURE : big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))
% 141.96/20.46  
% 141.96/20.46  [14803] BETA_EQUIV : (big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))))
% 141.96/20.46  	-> [15346] ~big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), ~(big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  	-> [15347] big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), (big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  
% 141.96/20.46  [15347] CLOSURE : big_f(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))
% 141.96/20.46  
% 141.96/20.46  [15346] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))) => big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  	-> [15351] big_f(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))), ~big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))
% 141.96/20.46  
% 141.96/20.46  [15351] BETA_NOT_EQUIV : ~(big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)) <=> big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))))
% 141.96/20.46  	-> [15381] ~big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))
% 141.96/20.46  	-> [15382] big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), ~big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))
% 141.96/20.46  
% 141.96/20.46  [15382] CLOSURE : big_g(X3_389_0, skolem_Z55(X3_389_0, X3_389_0))
% 141.96/20.46  
% 141.96/20.46  [15381] CLOSURE : big_g(skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)), skolem_Z55(X3_389_0, skolem_Z55(X3_389_0, X3_389_0)))
% 141.96/20.46  
% 141.96/20.46  [14753]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14762] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14762] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14763] ~! [Z5_5] :  (((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) => (big_f(X3_387_0, Z5_5) <=> big_g(skolem_Z55(X3_387_0, X3_387_0), Z5_5))) => ((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14763] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) => (big_f(X3_387_0, Z5_5) <=> big_g(skolem_Z55(X3_387_0, X3_387_0), Z5_5))) => ((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14765] ~((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) => (big_f(X3_387_0, skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) <=> big_g(skolem_Z55(X3_387_0, X3_387_0), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))) => ((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))) => (big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))))
% 141.96/20.46  
% 141.96/20.46  [14765] ALPHA_NOT_IMPLY : ~((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) => (big_f(X3_387_0, skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) <=> big_g(skolem_Z55(X3_387_0, X3_387_0), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))) => ((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))) => (big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))))
% 141.96/20.46  	-> [14767] (big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) => (big_f(X3_387_0, skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) <=> big_g(skolem_Z55(X3_387_0, X3_387_0), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))), ~((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))) => (big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))))
% 141.96/20.46  
% 141.96/20.46  [14767] ALPHA_NOT_IMPLY : ~((big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))) => (big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))))
% 141.96/20.46  	-> [14769] (big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))), ~(big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  
% 141.96/20.46  [14769] BETA_IMPLY : (big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) => (big_f(X3_387_0, skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) <=> big_g(skolem_Z55(X3_387_0, X3_387_0), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))))
% 141.96/20.46  	-> [14771] ~big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))
% 141.96/20.46  	-> [14772] (big_f(X3_387_0, skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) <=> big_g(skolem_Z55(X3_387_0, X3_387_0), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  
% 141.96/20.46  [14772] BETA_EQUIV : (big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))))
% 141.96/20.46  	-> [14782] ~big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), ~(big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  	-> [14783] big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  
% 141.96/20.46  [14783] CLOSURE : big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))
% 141.96/20.46  
% 141.96/20.46  [14812] BETA_NOT_EQUIV : ~(big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  	-> [15355] ~big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))
% 141.96/20.46  	-> [15356] big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), ~big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))
% 141.96/20.46  
% 141.96/20.46  [15356] CLOSURE : big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))
% 141.96/20.46  
% 141.96/20.46  [15355] CLOSURE : big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))
% 141.96/20.46  
% 141.96/20.46  [14771] BETA_EQUIV : (big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))))
% 141.96/20.46  	-> [15385] ~big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), ~(big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  	-> [15386] big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), (big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  
% 141.96/20.46  [15386] CLOSURE : big_f(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))
% 141.96/20.46  
% 141.96/20.46  [15385] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))) => big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  	-> [15474] big_f(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))), ~big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))
% 141.96/20.46  
% 141.96/20.46  [15474] BETA_NOT_EQUIV : ~(big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)) <=> big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))))
% 141.96/20.46  	-> [15490] ~big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))
% 141.96/20.46  	-> [15491] big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), ~big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))
% 141.96/20.46  
% 141.96/20.46  [15491] CLOSURE : big_g(X3_387_0, skolem_Z55(X3_387_0, X3_387_0))
% 141.96/20.46  
% 141.96/20.46  [15490] CLOSURE : big_g(skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)), skolem_Z55(X3_387_0, skolem_Z55(X3_387_0, X3_387_0)))
% 141.96/20.46  
% 141.96/20.46  [14747] BETA_IMPLY : (big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)) => big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0)))
% 141.96/20.46  	-> [14755] ~big_f(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  	-> [14756] big_g(skolem_Z55(Y4_377_0, Y4_377_0), skolem_Z55(Y4_377_0, Y4_377_0))
% 141.96/20.46  
% 141.96/20.46  [14756]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14764] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14764] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14766] ~! [Z5_5] :  (((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) => (big_f(X3_388_0, Z5_5) <=> big_g(skolem_Z55(X3_388_0, X3_388_0), Z5_5))) => ((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14766] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) => (big_f(X3_388_0, Z5_5) <=> big_g(skolem_Z55(X3_388_0, X3_388_0), Z5_5))) => ((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14768] ~((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) => (big_f(X3_388_0, skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) <=> big_g(skolem_Z55(X3_388_0, X3_388_0), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))) => ((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))) => (big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))))
% 141.96/20.46  
% 141.96/20.46  [14768] ALPHA_NOT_IMPLY : ~((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) => (big_f(X3_388_0, skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) <=> big_g(skolem_Z55(X3_388_0, X3_388_0), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))) => ((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))) => (big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))))
% 141.96/20.46  	-> [14770] (big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) => (big_f(X3_388_0, skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) <=> big_g(skolem_Z55(X3_388_0, X3_388_0), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))), ~((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))) => (big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))))
% 141.96/20.46  
% 141.96/20.46  [14770] ALPHA_NOT_IMPLY : ~((big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))) => (big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))))
% 141.96/20.46  	-> [14773] (big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))), ~(big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  
% 141.96/20.46  [14773] BETA_IMPLY : (big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) => (big_f(X3_388_0, skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) <=> big_g(skolem_Z55(X3_388_0, X3_388_0), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))))
% 141.96/20.46  	-> [14774] ~big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))
% 141.96/20.46  	-> [14775] (big_f(X3_388_0, skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) <=> big_g(skolem_Z55(X3_388_0, X3_388_0), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  
% 141.96/20.46  [14775] BETA_EQUIV : (big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))))
% 141.96/20.46  	-> [14784] ~big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), ~(big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  	-> [14785] big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  
% 141.96/20.46  [14785] CLOSURE : big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))
% 141.96/20.46  
% 141.96/20.46  [14829] BETA_NOT_EQUIV : ~(big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  	-> [15249] ~big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))
% 141.96/20.46  	-> [15250] big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), ~big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))
% 141.96/20.46  
% 141.96/20.46  [15250] CLOSURE : big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))
% 141.96/20.46  
% 141.96/20.46  [15249] CLOSURE : big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))
% 141.96/20.46  
% 141.96/20.46  [14774] BETA_EQUIV : (big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))))
% 141.96/20.46  	-> [15592] ~big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), ~(big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  	-> [15593] big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), (big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  
% 141.96/20.46  [15593] CLOSURE : big_f(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))
% 141.96/20.46  
% 141.96/20.46  [15592] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))) => big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  	-> [15641] big_f(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))), ~big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))
% 141.96/20.46  
% 141.96/20.46  [15641] BETA_NOT_EQUIV : ~(big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)) <=> big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))))
% 141.96/20.46  	-> [15697] ~big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))
% 141.96/20.46  	-> [15698] big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), ~big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))
% 141.96/20.46  
% 141.96/20.46  [15698] CLOSURE : big_g(X3_388_0, skolem_Z55(X3_388_0, X3_388_0))
% 141.96/20.46  
% 141.96/20.46  [15697] CLOSURE : big_g(skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)), skolem_Z55(X3_388_0, skolem_Z55(X3_388_0, X3_388_0)))
% 141.96/20.46  
% 141.96/20.46  [14755]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14793] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14793] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14795] ~! [Z5_5] :  (((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) => (big_f(X3_390_0, Z5_5) <=> big_g(skolem_Z55(X3_390_0, X3_390_0), Z5_5))) => ((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14795] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) => (big_f(X3_390_0, Z5_5) <=> big_g(skolem_Z55(X3_390_0, X3_390_0), Z5_5))) => ((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14797] ~((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) => (big_f(X3_390_0, skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) <=> big_g(skolem_Z55(X3_390_0, X3_390_0), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))) => ((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))) => (big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))))
% 141.96/20.46  
% 141.96/20.46  [14797] ALPHA_NOT_IMPLY : ~((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) => (big_f(X3_390_0, skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) <=> big_g(skolem_Z55(X3_390_0, X3_390_0), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))) => ((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))) => (big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))))
% 141.96/20.46  	-> [14805] (big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) => (big_f(X3_390_0, skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) <=> big_g(skolem_Z55(X3_390_0, X3_390_0), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))), ~((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))) => (big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))))
% 141.96/20.46  
% 141.96/20.46  [14805] ALPHA_NOT_IMPLY : ~((big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))) => (big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))))
% 141.96/20.46  	-> [14806] (big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))), ~(big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  
% 141.96/20.46  [14806] BETA_IMPLY : (big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) => (big_f(X3_390_0, skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) <=> big_g(skolem_Z55(X3_390_0, X3_390_0), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))))
% 141.96/20.46  	-> [14830] ~big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))
% 141.96/20.46  	-> [14831] (big_f(X3_390_0, skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) <=> big_g(skolem_Z55(X3_390_0, X3_390_0), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  
% 141.96/20.46  [14831] BETA_EQUIV : (big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))))
% 141.96/20.46  	-> [14917] ~big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), ~(big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  	-> [14918] big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  
% 141.96/20.46  [14918] CLOSURE : big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))
% 141.96/20.46  
% 141.96/20.46  [15137] BETA_NOT_EQUIV : ~(big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  	-> [16222] ~big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))
% 141.96/20.46  	-> [16223] big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), ~big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))
% 141.96/20.46  
% 141.96/20.46  [16223] CLOSURE : big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))
% 141.96/20.46  
% 141.96/20.46  [16222] CLOSURE : big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))
% 141.96/20.46  
% 141.96/20.46  [14830] BETA_EQUIV : (big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))))
% 141.96/20.46  	-> [16415] ~big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), ~(big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  	-> [16416] big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), (big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  
% 141.96/20.46  [16416] CLOSURE : big_f(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))
% 141.96/20.46  
% 141.96/20.46  [16415] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))) => big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  	-> [16429] big_f(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))), ~big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))
% 141.96/20.46  
% 141.96/20.46  [16429] BETA_NOT_EQUIV : ~(big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)) <=> big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))))
% 141.96/20.46  	-> [16499] ~big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))
% 141.96/20.46  	-> [16500] big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), ~big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))
% 141.96/20.46  
% 141.96/20.46  [16500] CLOSURE : big_g(X3_390_0, skolem_Z55(X3_390_0, X3_390_0))
% 141.96/20.46  
% 141.96/20.46  [16499] CLOSURE : big_g(skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)), skolem_Z55(X3_390_0, skolem_Z55(X3_390_0, X3_390_0)))
% 141.96/20.46  
% 141.96/20.46  [14597] BETA_IMPLY : (big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)) => big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0)))
% 141.96/20.46  	-> [14610] ~big_f(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  	-> [14611] big_g(skolem_Z55(Y4_371_0, Y4_371_0), skolem_Z55(Y4_371_0, Y4_371_0))
% 141.96/20.46  
% 141.96/20.46  [14611]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14630] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14630] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14633] ~! [Z5_5] :  (((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) => (big_f(X3_378_0, Z5_5) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), Z5_5))) => ((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14633] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) => (big_f(X3_378_0, Z5_5) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), Z5_5))) => ((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14638] ~((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) => (big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))) => ((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))) => (big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))))
% 141.96/20.46  
% 141.96/20.46  [14638] ALPHA_NOT_IMPLY : ~((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) => (big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))) => ((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))) => (big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))))
% 141.96/20.46  	-> [14641] (big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) => (big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))), ~((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))) => (big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))))
% 141.96/20.46  
% 141.96/20.46  [14641] ALPHA_NOT_IMPLY : ~((big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))) => (big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))))
% 141.96/20.46  	-> [14646] (big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))), ~(big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  
% 141.96/20.46  [14646] BETA_IMPLY : (big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) => (big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))))
% 141.96/20.46  	-> [14651] ~big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))
% 141.96/20.46  	-> [14652] (big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  
% 141.96/20.46  [14651] CLOSURE : ~big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))
% 141.96/20.46  
% 141.96/20.46  [14652] BETA_EQUIV : (big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))))
% 141.96/20.46  	-> [14662] ~big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), ~(big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  	-> [14663] big_f(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  
% 141.96/20.46  [14662] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  	-> [14689] big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))), ~big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  
% 141.96/20.46  [14689] CLOSURE : ~(big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  
% 141.96/20.46  [14663] BETA_NOT_EQUIV : ~(big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)) <=> big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  	-> [14749] ~big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  	-> [14750] big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), ~big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  
% 141.96/20.46  [14749] CLOSURE : ~big_g(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))
% 141.96/20.46  
% 141.96/20.46  [14750] BETA_EQUIV : (big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) <=> big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  	-> [14760] ~big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))), ~big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  	-> [14761] big_f(X3_378_0, skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))), big_g(skolem_Z55(X3_378_0, X3_378_0), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  
% 141.96/20.46  [14760] BETA_IMPLY : (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  	-> [14799] ~big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  	-> [14800] big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  
% 141.96/20.46  [14800] CLOSURE : big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  
% 141.96/20.46  [14799]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14811] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14811] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14813] ~! [Z5_5] :  (((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) => (big_f(X3_391_0, Z5_5) <=> big_g(skolem_Z55(X3_391_0, X3_391_0), Z5_5))) => ((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14813] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) => (big_f(X3_391_0, Z5_5) <=> big_g(skolem_Z55(X3_391_0, X3_391_0), Z5_5))) => ((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14814] ~((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) => (big_f(X3_391_0, skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) <=> big_g(skolem_Z55(X3_391_0, X3_391_0), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))) => ((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))) => (big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))))
% 141.96/20.46  
% 141.96/20.46  [14814] ALPHA_NOT_IMPLY : ~((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) => (big_f(X3_391_0, skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) <=> big_g(skolem_Z55(X3_391_0, X3_391_0), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))) => ((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))) => (big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))))
% 141.96/20.46  	-> [14815] (big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) => (big_f(X3_391_0, skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) <=> big_g(skolem_Z55(X3_391_0, X3_391_0), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))), ~((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))) => (big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))))
% 141.96/20.46  
% 141.96/20.46  [14815] ALPHA_NOT_IMPLY : ~((big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))) => (big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))))
% 141.96/20.46  	-> [14816] (big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))), ~(big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  
% 141.96/20.46  [14816] BETA_IMPLY : (big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) => (big_f(X3_391_0, skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) <=> big_g(skolem_Z55(X3_391_0, X3_391_0), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))))
% 141.96/20.46  	-> [14819] ~big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))
% 141.96/20.46  	-> [14820] (big_f(X3_391_0, skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) <=> big_g(skolem_Z55(X3_391_0, X3_391_0), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  
% 141.96/20.46  [14820] BETA_EQUIV : (big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))))
% 141.96/20.46  	-> [14825] ~big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), ~(big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  	-> [14826] big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  
% 141.96/20.46  [14826] CLOSURE : big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))
% 141.96/20.46  
% 141.96/20.46  [14856] BETA_NOT_EQUIV : ~(big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  	-> [15779] ~big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))
% 141.96/20.46  	-> [15780] big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), ~big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))
% 141.96/20.46  
% 141.96/20.46  [15780] CLOSURE : big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))
% 141.96/20.46  
% 141.96/20.46  [15779] CLOSURE : big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))
% 141.96/20.46  
% 141.96/20.46  [14819] BETA_EQUIV : (big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))))
% 141.96/20.46  	-> [15910] ~big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), ~(big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  	-> [15911] big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), (big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  
% 141.96/20.46  [15911] CLOSURE : big_f(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))
% 141.96/20.46  
% 141.96/20.46  [15910] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))) => big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  	-> [15922] big_f(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))), ~big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))
% 141.96/20.46  
% 141.96/20.46  [15922] BETA_NOT_EQUIV : ~(big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)) <=> big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))))
% 141.96/20.46  	-> [15934] ~big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))
% 141.96/20.46  	-> [15935] big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), ~big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))
% 141.96/20.46  
% 141.96/20.46  [15935] CLOSURE : big_g(X3_391_0, skolem_Z55(X3_391_0, X3_391_0))
% 141.96/20.46  
% 141.96/20.46  [15934] CLOSURE : big_g(skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)), skolem_Z55(X3_391_0, skolem_Z55(X3_391_0, X3_391_0)))
% 141.96/20.46  
% 141.96/20.46  [14761] BETA_IMPLY : (big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))) => big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0))))
% 141.96/20.46  	-> [14788] ~big_f(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  	-> [14789] big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  
% 141.96/20.46  [14789] CLOSURE : big_g(skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)), skolem_Z55(X3_378_0, skolem_Z55(X3_378_0, X3_378_0)))
% 141.96/20.46  
% 141.96/20.46  [14788]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14818] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14818] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14821] ~! [Z5_5] :  (((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) => (big_f(X3_392_0, Z5_5) <=> big_g(skolem_Z55(X3_392_0, X3_392_0), Z5_5))) => ((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14821] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) => (big_f(X3_392_0, Z5_5) <=> big_g(skolem_Z55(X3_392_0, X3_392_0), Z5_5))) => ((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14823] ~((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) => (big_f(X3_392_0, skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) <=> big_g(skolem_Z55(X3_392_0, X3_392_0), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))) => ((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))) => (big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))))
% 141.96/20.46  
% 141.96/20.46  [14823] ALPHA_NOT_IMPLY : ~((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) => (big_f(X3_392_0, skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) <=> big_g(skolem_Z55(X3_392_0, X3_392_0), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))) => ((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))) => (big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))))
% 141.96/20.46  	-> [14827] (big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) => (big_f(X3_392_0, skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) <=> big_g(skolem_Z55(X3_392_0, X3_392_0), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))), ~((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))) => (big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))))
% 141.96/20.46  
% 141.96/20.46  [14827] ALPHA_NOT_IMPLY : ~((big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))) => (big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))))
% 141.96/20.46  	-> [14832] (big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))), ~(big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  
% 141.96/20.46  [14832] BETA_IMPLY : (big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) => (big_f(X3_392_0, skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) <=> big_g(skolem_Z55(X3_392_0, X3_392_0), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))))
% 141.96/20.46  	-> [14833] ~big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))
% 141.96/20.46  	-> [14834] (big_f(X3_392_0, skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) <=> big_g(skolem_Z55(X3_392_0, X3_392_0), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  
% 141.96/20.46  [14834] BETA_EQUIV : (big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))))
% 141.96/20.46  	-> [14841] ~big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), ~(big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  	-> [14842] big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  
% 141.96/20.46  [14842] CLOSURE : big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))
% 141.96/20.46  
% 141.96/20.46  [14868] BETA_NOT_EQUIV : ~(big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  	-> [15617] ~big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))
% 141.96/20.46  	-> [15618] big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), ~big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))
% 141.96/20.46  
% 141.96/20.46  [15618] CLOSURE : big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))
% 141.96/20.46  
% 141.96/20.46  [15617] CLOSURE : big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))
% 141.96/20.46  
% 141.96/20.46  [14833] BETA_EQUIV : (big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))))
% 141.96/20.46  	-> [16148] ~big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), ~(big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  	-> [16149] big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), (big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  
% 141.96/20.46  [16149] CLOSURE : big_f(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))
% 141.96/20.46  
% 141.96/20.46  [16148] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))) => big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  	-> [16156] big_f(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))), ~big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))
% 141.96/20.46  
% 141.96/20.46  [16156] BETA_NOT_EQUIV : ~(big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)) <=> big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))))
% 141.96/20.46  	-> [16164] ~big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))
% 141.96/20.46  	-> [16165] big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), ~big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))
% 141.96/20.46  
% 141.96/20.46  [16165] CLOSURE : big_g(X3_392_0, skolem_Z55(X3_392_0, X3_392_0))
% 141.96/20.46  
% 141.96/20.46  [16164] CLOSURE : big_g(skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)), skolem_Z55(X3_392_0, skolem_Z55(X3_392_0, X3_392_0)))
% 141.96/20.46  
% 141.96/20.46  [14610]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14707] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14707] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14708] ~! [Z5_5] :  (((big_f(Y4_384_0, Y4_384_0) => (big_f(Y4_384_0, Z5_5) <=> big_g(Y4_384_0, Z5_5))) => ((big_f(Y4_384_0, Y4_384_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_384_0, Y4_384_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14708] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_384_0, Y4_384_0) => (big_f(Y4_384_0, Z5_5) <=> big_g(Y4_384_0, Z5_5))) => ((big_f(Y4_384_0, Y4_384_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_384_0, Y4_384_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14709] ~((big_f(Y4_384_0, Y4_384_0) => (big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)) <=> big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)))) => ((big_f(Y4_384_0, Y4_384_0) <=> (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))) => (big_g(Y4_384_0, Y4_384_0) <=> big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))))
% 141.96/20.46  
% 141.96/20.46  [14709] ALPHA_NOT_IMPLY : ~((big_f(Y4_384_0, Y4_384_0) => (big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)) <=> big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)))) => ((big_f(Y4_384_0, Y4_384_0) <=> (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))) => (big_g(Y4_384_0, Y4_384_0) <=> big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))))
% 141.96/20.46  	-> [14711] (big_f(Y4_384_0, Y4_384_0) => (big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)) <=> big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)))), ~((big_f(Y4_384_0, Y4_384_0) <=> (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))) => (big_g(Y4_384_0, Y4_384_0) <=> big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))))
% 141.96/20.46  
% 141.96/20.46  [14711] ALPHA_NOT_IMPLY : ~((big_f(Y4_384_0, Y4_384_0) <=> (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))) => (big_g(Y4_384_0, Y4_384_0) <=> big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))))
% 141.96/20.46  	-> [14713] (big_f(Y4_384_0, Y4_384_0) <=> (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))), ~(big_g(Y4_384_0, Y4_384_0) <=> big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  
% 141.96/20.46  [14713] BETA_IMPLY : (big_f(Y4_384_0, Y4_384_0) => (big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)) <=> big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0))))
% 141.96/20.46  	-> [14720] ~big_f(Y4_384_0, Y4_384_0)
% 141.96/20.46  	-> [14721] (big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)) <=> big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  
% 141.96/20.46  [14720] CLOSURE : ~big_f(Y4_384_0, Y4_384_0)
% 141.96/20.46  
% 141.96/20.46  [14721] BETA_EQUIV : (big_f(Y4_384_0, Y4_384_0) <=> (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))))
% 141.96/20.46  	-> [14727] ~big_f(Y4_384_0, Y4_384_0), ~(big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  	-> [14728] big_f(Y4_384_0, Y4_384_0), (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  
% 141.96/20.46  [14727] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  	-> [14759] big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)), ~big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  
% 141.96/20.46  [14759] CLOSURE : ~(big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  
% 141.96/20.46  [14728] BETA_NOT_EQUIV : ~(big_g(Y4_384_0, Y4_384_0) <=> big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  	-> [14929] ~big_g(Y4_384_0, Y4_384_0), big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  	-> [14930] big_g(Y4_384_0, Y4_384_0), ~big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  
% 141.96/20.46  [14930] CLOSURE : big_g(Y4_384_0, Y4_384_0)
% 141.96/20.46  
% 141.96/20.46  [14929] BETA_EQUIV : (big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)) <=> big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  	-> [15167] ~big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)), ~big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  	-> [15168] big_f(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0)), big_g(Y4_384_0, skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  
% 141.96/20.46  [15167] BETA_IMPLY : (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  	-> [15348] ~big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  	-> [15349] big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  
% 141.96/20.46  [15348]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15387] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15387] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15424] ~! [Z5_5] :  (((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) => (big_f(X3_423_0, Z5_5) <=> big_g(skolem_Z55(X3_423_0, X3_423_0), Z5_5))) => ((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15424] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) => (big_f(X3_423_0, Z5_5) <=> big_g(skolem_Z55(X3_423_0, X3_423_0), Z5_5))) => ((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15428] ~((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) => (big_f(X3_423_0, skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) <=> big_g(skolem_Z55(X3_423_0, X3_423_0), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))) => ((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))) => (big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))))
% 141.96/20.46  
% 141.96/20.46  [15428] ALPHA_NOT_IMPLY : ~((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) => (big_f(X3_423_0, skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) <=> big_g(skolem_Z55(X3_423_0, X3_423_0), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))) => ((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))) => (big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))))
% 141.96/20.46  	-> [15430] (big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) => (big_f(X3_423_0, skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) <=> big_g(skolem_Z55(X3_423_0, X3_423_0), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))), ~((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))) => (big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))))
% 141.96/20.46  
% 141.96/20.46  [15430] ALPHA_NOT_IMPLY : ~((big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))) => (big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))))
% 141.96/20.46  	-> [15432] (big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))), ~(big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  
% 141.96/20.46  [15432] BETA_IMPLY : (big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) => (big_f(X3_423_0, skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) <=> big_g(skolem_Z55(X3_423_0, X3_423_0), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))))
% 141.96/20.46  	-> [15434] ~big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))
% 141.96/20.46  	-> [15435] (big_f(X3_423_0, skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) <=> big_g(skolem_Z55(X3_423_0, X3_423_0), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  
% 141.96/20.46  [15435] BETA_EQUIV : (big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))))
% 141.96/20.46  	-> [15441] ~big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), ~(big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  	-> [15442] big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  
% 141.96/20.46  [15442] CLOSURE : big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))
% 141.96/20.46  
% 141.96/20.46  [15482] BETA_NOT_EQUIV : ~(big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  	-> [16082] ~big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))
% 141.96/20.46  	-> [16083] big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), ~big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))
% 141.96/20.46  
% 141.96/20.46  [16083] CLOSURE : big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))
% 141.96/20.46  
% 141.96/20.46  [16082] CLOSURE : big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))
% 141.96/20.46  
% 141.96/20.46  [15434] BETA_EQUIV : (big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))))
% 141.96/20.46  	-> [16490] ~big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), ~(big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  	-> [16491] big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), (big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  
% 141.96/20.46  [16491] CLOSURE : big_f(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))
% 141.96/20.46  
% 141.96/20.46  [16490] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))) => big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  	-> [16496] big_f(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))), ~big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))
% 141.96/20.46  
% 141.96/20.46  [16496] BETA_NOT_EQUIV : ~(big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)) <=> big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))))
% 141.96/20.46  	-> [16511] ~big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))
% 141.96/20.46  	-> [16512] big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), ~big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))
% 141.96/20.46  
% 141.96/20.46  [16512] CLOSURE : big_g(X3_423_0, skolem_Z55(X3_423_0, X3_423_0))
% 141.96/20.46  
% 141.96/20.46  [16511] CLOSURE : big_g(skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)), skolem_Z55(X3_423_0, skolem_Z55(X3_423_0, X3_423_0)))
% 141.96/20.46  
% 141.96/20.46  [15349]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15364] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15364] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15365] ~! [Z5_5] :  (((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) => (big_f(X3_422_0, Z5_5) <=> big_g(skolem_Z55(X3_422_0, X3_422_0), Z5_5))) => ((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15365] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) => (big_f(X3_422_0, Z5_5) <=> big_g(skolem_Z55(X3_422_0, X3_422_0), Z5_5))) => ((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15368] ~((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) => (big_f(X3_422_0, skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) <=> big_g(skolem_Z55(X3_422_0, X3_422_0), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))) => ((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))) => (big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))))
% 141.96/20.46  
% 141.96/20.46  [15368] ALPHA_NOT_IMPLY : ~((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) => (big_f(X3_422_0, skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) <=> big_g(skolem_Z55(X3_422_0, X3_422_0), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))) => ((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))) => (big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))))
% 141.96/20.46  	-> [15371] (big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) => (big_f(X3_422_0, skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) <=> big_g(skolem_Z55(X3_422_0, X3_422_0), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))), ~((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))) => (big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))))
% 141.96/20.46  
% 141.96/20.46  [15371] ALPHA_NOT_IMPLY : ~((big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))) => (big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))))
% 141.96/20.46  	-> [15372] (big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))), ~(big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  
% 141.96/20.46  [15372] BETA_IMPLY : (big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) => (big_f(X3_422_0, skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) <=> big_g(skolem_Z55(X3_422_0, X3_422_0), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))))
% 141.96/20.46  	-> [15373] ~big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))
% 141.96/20.46  	-> [15374] (big_f(X3_422_0, skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) <=> big_g(skolem_Z55(X3_422_0, X3_422_0), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  
% 141.96/20.46  [15374] BETA_EQUIV : (big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))))
% 141.96/20.46  	-> [15375] ~big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), ~(big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  	-> [15376] big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  
% 141.96/20.46  [15376] CLOSURE : big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))
% 141.96/20.46  
% 141.96/20.46  [15394] BETA_NOT_EQUIV : ~(big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  	-> [16118] ~big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))
% 141.96/20.46  	-> [16119] big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), ~big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))
% 141.96/20.46  
% 141.96/20.46  [16119] CLOSURE : big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))
% 141.96/20.46  
% 141.96/20.46  [16118] CLOSURE : big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))
% 141.96/20.46  
% 141.96/20.46  [15373] BETA_EQUIV : (big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))))
% 141.96/20.46  	-> [16519] ~big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), ~(big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  	-> [16520] big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), (big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  
% 141.96/20.46  [16520] CLOSURE : big_f(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))
% 141.96/20.46  
% 141.96/20.46  [16519] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))) => big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  	-> [16521] big_f(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))), ~big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))
% 141.96/20.46  
% 141.96/20.46  [16521] BETA_NOT_EQUIV : ~(big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)) <=> big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))))
% 141.96/20.46  	-> [16526] ~big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))
% 141.96/20.46  	-> [16527] big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), ~big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))
% 141.96/20.46  
% 141.96/20.46  [16527] CLOSURE : big_g(X3_422_0, skolem_Z55(X3_422_0, X3_422_0))
% 141.96/20.46  
% 141.96/20.46  [16526] CLOSURE : big_g(skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)), skolem_Z55(X3_422_0, skolem_Z55(X3_422_0, X3_422_0)))
% 141.96/20.46  
% 141.96/20.46  [15168] BETA_IMPLY : (big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)) => big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0)))
% 141.96/20.46  	-> [15278] ~big_f(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  	-> [15279] big_g(skolem_Z55(Y4_384_0, Y4_384_0), skolem_Z55(Y4_384_0, Y4_384_0))
% 141.96/20.46  
% 141.96/20.46  [15279]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15296] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15296] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15299] ~! [Z5_5] :  (((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) => (big_f(X3_418_0, Z5_5) <=> big_g(skolem_Z55(X3_418_0, X3_418_0), Z5_5))) => ((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15299] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) => (big_f(X3_418_0, Z5_5) <=> big_g(skolem_Z55(X3_418_0, X3_418_0), Z5_5))) => ((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15300] ~((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) => (big_f(X3_418_0, skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) <=> big_g(skolem_Z55(X3_418_0, X3_418_0), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))) => ((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))) => (big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))))
% 141.96/20.46  
% 141.96/20.46  [15300] ALPHA_NOT_IMPLY : ~((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) => (big_f(X3_418_0, skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) <=> big_g(skolem_Z55(X3_418_0, X3_418_0), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))) => ((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))) => (big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))))
% 141.96/20.46  	-> [15305] (big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) => (big_f(X3_418_0, skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) <=> big_g(skolem_Z55(X3_418_0, X3_418_0), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))), ~((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))) => (big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))))
% 141.96/20.46  
% 141.96/20.46  [15305] ALPHA_NOT_IMPLY : ~((big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))) => (big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))))
% 141.96/20.46  	-> [15307] (big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))), ~(big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  
% 141.96/20.46  [15307] BETA_IMPLY : (big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) => (big_f(X3_418_0, skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) <=> big_g(skolem_Z55(X3_418_0, X3_418_0), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))))
% 141.96/20.46  	-> [15311] ~big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))
% 141.96/20.46  	-> [15312] (big_f(X3_418_0, skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) <=> big_g(skolem_Z55(X3_418_0, X3_418_0), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  
% 141.96/20.46  [15312] BETA_EQUIV : (big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))))
% 141.96/20.46  	-> [15317] ~big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), ~(big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  	-> [15318] big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  
% 141.96/20.46  [15318] CLOSURE : big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))
% 141.96/20.46  
% 141.96/20.46  [15350] BETA_NOT_EQUIV : ~(big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  	-> [15763] ~big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))
% 141.96/20.46  	-> [15764] big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), ~big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))
% 141.96/20.46  
% 141.96/20.46  [15764] CLOSURE : big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))
% 141.96/20.46  
% 141.96/20.46  [15763] CLOSURE : big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))
% 141.96/20.46  
% 141.96/20.46  [15311] BETA_EQUIV : (big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))))
% 141.96/20.46  	-> [16259] ~big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), ~(big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  	-> [16260] big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), (big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  
% 141.96/20.46  [16260] CLOSURE : big_f(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))
% 141.96/20.46  
% 141.96/20.46  [16259] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))) => big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  	-> [16298] big_f(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))), ~big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))
% 141.96/20.46  
% 141.96/20.46  [16298] BETA_NOT_EQUIV : ~(big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)) <=> big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))))
% 141.96/20.46  	-> [16356] ~big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))
% 141.96/20.46  	-> [16357] big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), ~big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))
% 141.96/20.46  
% 141.96/20.46  [16357] CLOSURE : big_g(X3_418_0, skolem_Z55(X3_418_0, X3_418_0))
% 141.96/20.46  
% 141.96/20.46  [16356] CLOSURE : big_g(skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)), skolem_Z55(X3_418_0, skolem_Z55(X3_418_0, X3_418_0)))
% 141.96/20.46  
% 141.96/20.46  [15278]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15325] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15325] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15326] ~! [Z5_5] :  (((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) => (big_f(X3_420_0, Z5_5) <=> big_g(skolem_Z55(X3_420_0, X3_420_0), Z5_5))) => ((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15326] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) => (big_f(X3_420_0, Z5_5) <=> big_g(skolem_Z55(X3_420_0, X3_420_0), Z5_5))) => ((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15327] ~((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) => (big_f(X3_420_0, skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) <=> big_g(skolem_Z55(X3_420_0, X3_420_0), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))) => ((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))) => (big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))))
% 141.96/20.46  
% 141.96/20.46  [15327] ALPHA_NOT_IMPLY : ~((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) => (big_f(X3_420_0, skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) <=> big_g(skolem_Z55(X3_420_0, X3_420_0), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))) => ((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))) => (big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))))
% 141.96/20.46  	-> [15328] (big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) => (big_f(X3_420_0, skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) <=> big_g(skolem_Z55(X3_420_0, X3_420_0), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))), ~((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))) => (big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))))
% 141.96/20.46  
% 141.96/20.46  [15328] ALPHA_NOT_IMPLY : ~((big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))) => (big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))))
% 141.96/20.46  	-> [15329] (big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))), ~(big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  
% 141.96/20.46  [15329] BETA_IMPLY : (big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) => (big_f(X3_420_0, skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) <=> big_g(skolem_Z55(X3_420_0, X3_420_0), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))))
% 141.96/20.46  	-> [15332] ~big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))
% 141.96/20.46  	-> [15333] (big_f(X3_420_0, skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) <=> big_g(skolem_Z55(X3_420_0, X3_420_0), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  
% 141.96/20.46  [15333] BETA_EQUIV : (big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))))
% 141.96/20.46  	-> [15338] ~big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), ~(big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  	-> [15339] big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  
% 141.96/20.46  [15339] CLOSURE : big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))
% 141.96/20.46  
% 141.96/20.46  [15464] BETA_NOT_EQUIV : ~(big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  	-> [16604] ~big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))
% 141.96/20.46  	-> [16605] big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), ~big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))
% 141.96/20.46  
% 141.96/20.46  [16605] CLOSURE : big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))
% 141.96/20.46  
% 141.96/20.46  [16604] CLOSURE : big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))
% 141.96/20.46  
% 141.96/20.46  [15332] BETA_EQUIV : (big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))))
% 141.96/20.46  	-> [16612] ~big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), ~(big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  	-> [16613] big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), (big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  
% 141.96/20.46  [16613] CLOSURE : big_f(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))
% 141.96/20.46  
% 141.96/20.46  [16612] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))) => big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  	-> [16615] big_f(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))), ~big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))
% 141.96/20.46  
% 141.96/20.46  [16615] BETA_NOT_EQUIV : ~(big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)) <=> big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))))
% 141.96/20.46  	-> [16618] ~big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))
% 141.96/20.46  	-> [16619] big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), ~big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))
% 141.96/20.46  
% 141.96/20.46  [16619] CLOSURE : big_g(X3_420_0, skolem_Z55(X3_420_0, X3_420_0))
% 141.96/20.46  
% 141.96/20.46  [16618] CLOSURE : big_g(skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)), skolem_Z55(X3_420_0, skolem_Z55(X3_420_0, X3_420_0)))
% 141.96/20.46  
% 141.96/20.46  [14519]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14529] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14529] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14537] ~! [Z5_5] :  (((big_f(Y4_373_0, Y4_373_0) => (big_f(Y4_373_0, Z5_5) <=> big_g(Y4_373_0, Z5_5))) => ((big_f(Y4_373_0, Y4_373_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_373_0, Y4_373_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14537] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_373_0, Y4_373_0) => (big_f(Y4_373_0, Z5_5) <=> big_g(Y4_373_0, Z5_5))) => ((big_f(Y4_373_0, Y4_373_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_373_0, Y4_373_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14543] ~((big_f(Y4_373_0, Y4_373_0) => (big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)) <=> big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)))) => ((big_f(Y4_373_0, Y4_373_0) <=> (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))) => (big_g(Y4_373_0, Y4_373_0) <=> big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))))
% 141.96/20.46  
% 141.96/20.46  [14543] ALPHA_NOT_IMPLY : ~((big_f(Y4_373_0, Y4_373_0) => (big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)) <=> big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)))) => ((big_f(Y4_373_0, Y4_373_0) <=> (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))) => (big_g(Y4_373_0, Y4_373_0) <=> big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))))
% 141.96/20.46  	-> [14550] (big_f(Y4_373_0, Y4_373_0) => (big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)) <=> big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)))), ~((big_f(Y4_373_0, Y4_373_0) <=> (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))) => (big_g(Y4_373_0, Y4_373_0) <=> big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))))
% 141.96/20.46  
% 141.96/20.46  [14550] ALPHA_NOT_IMPLY : ~((big_f(Y4_373_0, Y4_373_0) <=> (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))) => (big_g(Y4_373_0, Y4_373_0) <=> big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))))
% 141.96/20.46  	-> [14556] (big_f(Y4_373_0, Y4_373_0) <=> (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))), ~(big_g(Y4_373_0, Y4_373_0) <=> big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  
% 141.96/20.46  [14556] BETA_IMPLY : (big_f(Y4_373_0, Y4_373_0) => (big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)) <=> big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0))))
% 141.96/20.46  	-> [14562] ~big_f(Y4_373_0, Y4_373_0)
% 141.96/20.46  	-> [14563] (big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)) <=> big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  
% 141.96/20.46  [14562] CLOSURE : ~big_f(Y4_373_0, Y4_373_0)
% 141.96/20.46  
% 141.96/20.46  [14563] BETA_EQUIV : (big_f(Y4_373_0, Y4_373_0) <=> (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))))
% 141.96/20.46  	-> [14680] ~big_f(Y4_373_0, Y4_373_0), ~(big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  	-> [14681] big_f(Y4_373_0, Y4_373_0), (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  
% 141.96/20.46  [14680] CLOSURE : ~big_f(Y4_373_0, Y4_373_0)
% 141.96/20.46  
% 141.96/20.46  [14681] BETA_NOT_EQUIV : ~(big_g(Y4_373_0, Y4_373_0) <=> big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  	-> [14729] ~big_g(Y4_373_0, Y4_373_0), big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  	-> [14730] big_g(Y4_373_0, Y4_373_0), ~big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  
% 141.96/20.46  [14730] CLOSURE : big_g(Y4_373_0, Y4_373_0)
% 141.96/20.46  
% 141.96/20.46  [14729] BETA_EQUIV : (big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)) <=> big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  	-> [14837] ~big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)), ~big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  	-> [14838] big_f(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0)), big_g(Y4_373_0, skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  
% 141.96/20.46  [14838] BETA_IMPLY : (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  	-> [14880] ~big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  	-> [14881] big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  
% 141.96/20.46  [14880]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14998] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14998] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14999] ~! [Z5_5] :  (((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) => (big_f(X3_404_0, Z5_5) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), Z5_5))) => ((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14999] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) => (big_f(X3_404_0, Z5_5) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), Z5_5))) => ((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15000] ~((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) => (big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))) => ((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))) => (big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  
% 141.96/20.46  [15000] ALPHA_NOT_IMPLY : ~((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) => (big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))) => ((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))) => (big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [15001] (big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) => (big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))), ~((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))) => (big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [15001] ALPHA_NOT_IMPLY : ~((big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))) => (big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [15002] (big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))), ~(big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15002] BETA_IMPLY : (big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) => (big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [15003] ~big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))
% 141.96/20.46  	-> [15004] (big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15003] CLOSURE : ~big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))
% 141.96/20.46  
% 141.96/20.46  [15004] BETA_EQUIV : (big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [15009] ~big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), ~(big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [15010] big_f(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15009] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [15068] big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15068] CLOSURE : ~(big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15010] BETA_NOT_EQUIV : ~(big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [15155] ~big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  	-> [15156] big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), ~big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15155] CLOSURE : ~big_g(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))
% 141.96/20.46  
% 141.96/20.46  [15156] BETA_EQUIV : (big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [15163] ~big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  	-> [15164] big_f(X3_404_0, skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), big_g(skolem_Z55(X3_404_0, X3_404_0), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15163] BETA_IMPLY : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [15340] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  	-> [15341] big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15341] CLOSURE : big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15340]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15357] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15357] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15358] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15358] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15359] ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))))
% 141.96/20.46  
% 141.96/20.46  [15359] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))))
% 141.96/20.46  	-> [15360] (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))), ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  
% 141.96/20.46  [15360] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [15361] (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))), ~(big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [15361] BETA_IMPLY : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [15362] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  	-> [15363] (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [15363] BETA_EQUIV : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [15369] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [15370] big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [15370] CLOSURE : big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15438] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [16019] ~big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [16020] big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [16020] CLOSURE : big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [16019] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15362] BETA_EQUIV : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [16201] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [16202] big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [16202] CLOSURE : big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [16201] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [16211] big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [16211] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [16218] ~big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [16219] big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [16219] CLOSURE : big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [16218] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15164] BETA_IMPLY : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [15171] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  	-> [15172] big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15172] CLOSURE : big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15171]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15401] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15401] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15402] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15402] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), Z5_5))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15403] ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))))
% 141.96/20.46  
% 141.96/20.46  [15403] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => ((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))))
% 141.96/20.46  	-> [15404] (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))), ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  
% 141.96/20.46  [15404] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))) => (big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [15405] (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))), ~(big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [15405] BETA_IMPLY : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) => (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [15409] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  	-> [15410] (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) <=> big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [15410] BETA_EQUIV : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [15419] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [15420] big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [15420] CLOSURE : big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15477] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [15577] ~big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [15578] big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15578] CLOSURE : big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [15577] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [15409] BETA_EQUIV : (big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))))
% 141.96/20.46  	-> [16360] ~big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [16361] big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), (big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  
% 141.96/20.46  [16361] CLOSURE : big_f(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [16360] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))) => big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [16384] big_f(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [16384] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))))
% 141.96/20.46  	-> [16399] ~big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  	-> [16400] big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), ~big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [16400] CLOSURE : big_g(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)))
% 141.96/20.46  
% 141.96/20.46  [16399] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))), skolem_Z55(skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0)), skolem_Z55(X3_404_0, skolem_Z55(X3_404_0, X3_404_0))))
% 141.96/20.46  
% 141.96/20.46  [14881]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14963] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14963] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14969] ~! [Z5_5] :  (((big_f(Y4_403_0, Y4_403_0) => (big_f(Y4_403_0, Z5_5) <=> big_g(Y4_403_0, Z5_5))) => ((big_f(Y4_403_0, Y4_403_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_403_0, Y4_403_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14969] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_403_0, Y4_403_0) => (big_f(Y4_403_0, Z5_5) <=> big_g(Y4_403_0, Z5_5))) => ((big_f(Y4_403_0, Y4_403_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_403_0, Y4_403_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14971] ~((big_f(Y4_403_0, Y4_403_0) => (big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)) <=> big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)))) => ((big_f(Y4_403_0, Y4_403_0) <=> (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))) => (big_g(Y4_403_0, Y4_403_0) <=> big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))))
% 141.96/20.46  
% 141.96/20.46  [14971] ALPHA_NOT_IMPLY : ~((big_f(Y4_403_0, Y4_403_0) => (big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)) <=> big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)))) => ((big_f(Y4_403_0, Y4_403_0) <=> (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))) => (big_g(Y4_403_0, Y4_403_0) <=> big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))))
% 141.96/20.46  	-> [14973] (big_f(Y4_403_0, Y4_403_0) => (big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)) <=> big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)))), ~((big_f(Y4_403_0, Y4_403_0) <=> (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))) => (big_g(Y4_403_0, Y4_403_0) <=> big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))))
% 141.96/20.46  
% 141.96/20.46  [14973] ALPHA_NOT_IMPLY : ~((big_f(Y4_403_0, Y4_403_0) <=> (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))) => (big_g(Y4_403_0, Y4_403_0) <=> big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))))
% 141.96/20.46  	-> [14976] (big_f(Y4_403_0, Y4_403_0) <=> (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))), ~(big_g(Y4_403_0, Y4_403_0) <=> big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  
% 141.96/20.46  [14976] BETA_IMPLY : (big_f(Y4_403_0, Y4_403_0) => (big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)) <=> big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0))))
% 141.96/20.46  	-> [14977] ~big_f(Y4_403_0, Y4_403_0)
% 141.96/20.46  	-> [14978] (big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)) <=> big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  
% 141.96/20.46  [14977] CLOSURE : ~big_f(Y4_403_0, Y4_403_0)
% 141.96/20.46  
% 141.96/20.46  [14978] BETA_EQUIV : (big_f(Y4_403_0, Y4_403_0) <=> (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))))
% 141.96/20.46  	-> [14982] ~big_f(Y4_403_0, Y4_403_0), ~(big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  	-> [14983] big_f(Y4_403_0, Y4_403_0), (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  
% 141.96/20.46  [14982] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  	-> [14994] big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)), ~big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  
% 141.96/20.46  [14994] CLOSURE : ~(big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  
% 141.96/20.46  [14983] BETA_NOT_EQUIV : ~(big_g(Y4_403_0, Y4_403_0) <=> big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  	-> [15020] ~big_g(Y4_403_0, Y4_403_0), big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  	-> [15021] big_g(Y4_403_0, Y4_403_0), ~big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  
% 141.96/20.46  [15021] CLOSURE : big_g(Y4_403_0, Y4_403_0)
% 141.96/20.46  
% 141.96/20.46  [15020] BETA_EQUIV : (big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)) <=> big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  	-> [15041] ~big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)), ~big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  	-> [15042] big_f(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0)), big_g(Y4_403_0, skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  
% 141.96/20.46  [15042] BETA_IMPLY : (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  	-> [15071] ~big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  	-> [15072] big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  
% 141.96/20.46  [15072]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15147] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15147] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15301] ~! [Z5_5] :  (((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) => (big_f(X3_419_0, Z5_5) <=> big_g(skolem_Z55(X3_419_0, X3_419_0), Z5_5))) => ((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15301] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) => (big_f(X3_419_0, Z5_5) <=> big_g(skolem_Z55(X3_419_0, X3_419_0), Z5_5))) => ((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15304] ~((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) => (big_f(X3_419_0, skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) <=> big_g(skolem_Z55(X3_419_0, X3_419_0), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))) => ((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))) => (big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))))
% 141.96/20.46  
% 141.96/20.46  [15304] ALPHA_NOT_IMPLY : ~((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) => (big_f(X3_419_0, skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) <=> big_g(skolem_Z55(X3_419_0, X3_419_0), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))) => ((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))) => (big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))))
% 141.96/20.46  	-> [15306] (big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) => (big_f(X3_419_0, skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) <=> big_g(skolem_Z55(X3_419_0, X3_419_0), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))), ~((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))) => (big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))))
% 141.96/20.46  
% 141.96/20.46  [15306] ALPHA_NOT_IMPLY : ~((big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))) => (big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))))
% 141.96/20.46  	-> [15310] (big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))), ~(big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  
% 141.96/20.46  [15310] BETA_IMPLY : (big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) => (big_f(X3_419_0, skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) <=> big_g(skolem_Z55(X3_419_0, X3_419_0), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))))
% 141.96/20.46  	-> [15313] ~big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))
% 141.96/20.46  	-> [15314] (big_f(X3_419_0, skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) <=> big_g(skolem_Z55(X3_419_0, X3_419_0), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  
% 141.96/20.46  [15314] BETA_EQUIV : (big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))))
% 141.96/20.46  	-> [15321] ~big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), ~(big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  	-> [15322] big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  
% 141.96/20.46  [15322] CLOSURE : big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))
% 141.96/20.46  
% 141.96/20.46  [15354] BETA_NOT_EQUIV : ~(big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  	-> [15842] ~big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))
% 141.96/20.46  	-> [15843] big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), ~big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))
% 141.96/20.46  
% 141.96/20.46  [15843] CLOSURE : big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))
% 141.96/20.46  
% 141.96/20.46  [15842] CLOSURE : big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))
% 141.96/20.46  
% 141.96/20.46  [15313] BETA_EQUIV : (big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))))
% 141.96/20.46  	-> [16094] ~big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), ~(big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  	-> [16095] big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), (big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  
% 141.96/20.46  [16095] CLOSURE : big_f(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))
% 141.96/20.46  
% 141.96/20.46  [16094] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))) => big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  	-> [16106] big_f(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))), ~big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))
% 141.96/20.46  
% 141.96/20.46  [16106] BETA_NOT_EQUIV : ~(big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)) <=> big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))))
% 141.96/20.46  	-> [16120] ~big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))
% 141.96/20.46  	-> [16121] big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), ~big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))
% 141.96/20.46  
% 141.96/20.46  [16120] CLOSURE : big_g(skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)), skolem_Z55(X3_419_0, skolem_Z55(X3_419_0, X3_419_0)))
% 141.96/20.46  
% 141.96/20.46  [16121] CLOSURE : big_g(X3_419_0, skolem_Z55(X3_419_0, X3_419_0))
% 141.96/20.46  
% 141.96/20.46  [15071]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15154] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15154] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15157] ~! [Z5_5] :  (((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) => (big_f(X3_414_0, Z5_5) <=> big_g(skolem_Z55(X3_414_0, X3_414_0), Z5_5))) => ((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15157] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) => (big_f(X3_414_0, Z5_5) <=> big_g(skolem_Z55(X3_414_0, X3_414_0), Z5_5))) => ((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15158] ~((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) => (big_f(X3_414_0, skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) <=> big_g(skolem_Z55(X3_414_0, X3_414_0), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))) => ((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))) => (big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))))
% 141.96/20.46  
% 141.96/20.46  [15158] ALPHA_NOT_IMPLY : ~((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) => (big_f(X3_414_0, skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) <=> big_g(skolem_Z55(X3_414_0, X3_414_0), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))) => ((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))) => (big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))))
% 141.96/20.46  	-> [15159] (big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) => (big_f(X3_414_0, skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) <=> big_g(skolem_Z55(X3_414_0, X3_414_0), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))), ~((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))) => (big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))))
% 141.96/20.46  
% 141.96/20.46  [15159] ALPHA_NOT_IMPLY : ~((big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))) => (big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))))
% 141.96/20.46  	-> [15160] (big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))), ~(big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  
% 141.96/20.46  [15160] BETA_IMPLY : (big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) => (big_f(X3_414_0, skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) <=> big_g(skolem_Z55(X3_414_0, X3_414_0), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))))
% 141.96/20.46  	-> [15161] ~big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))
% 141.96/20.46  	-> [15162] (big_f(X3_414_0, skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) <=> big_g(skolem_Z55(X3_414_0, X3_414_0), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  
% 141.96/20.46  [15162] BETA_EQUIV : (big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))))
% 141.96/20.46  	-> [15165] ~big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), ~(big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  	-> [15166] big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  
% 141.96/20.46  [15166] CLOSURE : big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))
% 141.96/20.46  
% 141.96/20.46  [15244] BETA_NOT_EQUIV : ~(big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  	-> [15648] ~big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))
% 141.96/20.46  	-> [15649] big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), ~big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))
% 141.96/20.46  
% 141.96/20.46  [15649] CLOSURE : big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))
% 141.96/20.46  
% 141.96/20.46  [15648] CLOSURE : big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))
% 141.96/20.46  
% 141.96/20.46  [15161] BETA_EQUIV : (big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))))
% 141.96/20.46  	-> [16284] ~big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), ~(big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  	-> [16285] big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), (big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  
% 141.96/20.46  [16285] CLOSURE : big_f(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))
% 141.96/20.46  
% 141.96/20.46  [16284] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))) => big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  	-> [16293] big_f(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))), ~big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))
% 141.96/20.46  
% 141.96/20.46  [16293] BETA_NOT_EQUIV : ~(big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)) <=> big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))))
% 141.96/20.46  	-> [16304] ~big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))
% 141.96/20.46  	-> [16305] big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), ~big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))
% 141.96/20.46  
% 141.96/20.46  [16305] CLOSURE : big_g(X3_414_0, skolem_Z55(X3_414_0, X3_414_0))
% 141.96/20.46  
% 141.96/20.46  [16304] CLOSURE : big_g(skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)), skolem_Z55(X3_414_0, skolem_Z55(X3_414_0, X3_414_0)))
% 141.96/20.46  
% 141.96/20.46  [15041] BETA_IMPLY : (big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)) => big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0)))
% 141.96/20.46  	-> [15174] ~big_f(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  	-> [15175] big_g(skolem_Z55(Y4_403_0, Y4_403_0), skolem_Z55(Y4_403_0, Y4_403_0))
% 141.96/20.46  
% 141.96/20.46  [15175]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15406] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15406] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15411] ~! [Z5_5] :  (((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) => (big_f(X3_425_0, Z5_5) <=> big_g(skolem_Z55(X3_425_0, X3_425_0), Z5_5))) => ((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15411] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) => (big_f(X3_425_0, Z5_5) <=> big_g(skolem_Z55(X3_425_0, X3_425_0), Z5_5))) => ((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15412] ~((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) => (big_f(X3_425_0, skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) <=> big_g(skolem_Z55(X3_425_0, X3_425_0), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))) => ((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))) => (big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))))
% 141.96/20.46  
% 141.96/20.46  [15412] ALPHA_NOT_IMPLY : ~((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) => (big_f(X3_425_0, skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) <=> big_g(skolem_Z55(X3_425_0, X3_425_0), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))) => ((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))) => (big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))))
% 141.96/20.46  	-> [15413] (big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) => (big_f(X3_425_0, skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) <=> big_g(skolem_Z55(X3_425_0, X3_425_0), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))), ~((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))) => (big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))))
% 141.96/20.46  
% 141.96/20.46  [15413] ALPHA_NOT_IMPLY : ~((big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))) => (big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))))
% 141.96/20.46  	-> [15414] (big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))), ~(big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  
% 141.96/20.46  [15414] BETA_IMPLY : (big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) => (big_f(X3_425_0, skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) <=> big_g(skolem_Z55(X3_425_0, X3_425_0), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))))
% 141.96/20.46  	-> [15415] ~big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))
% 141.96/20.46  	-> [15416] (big_f(X3_425_0, skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) <=> big_g(skolem_Z55(X3_425_0, X3_425_0), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  
% 141.96/20.46  [15416] BETA_EQUIV : (big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))))
% 141.96/20.46  	-> [15421] ~big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), ~(big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  	-> [15422] big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  
% 141.96/20.46  [15422] CLOSURE : big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))
% 141.96/20.46  
% 141.96/20.46  [15461] BETA_NOT_EQUIV : ~(big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  	-> [15530] ~big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))
% 141.96/20.46  	-> [15531] big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), ~big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))
% 141.96/20.46  
% 141.96/20.46  [15531] CLOSURE : big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))
% 141.96/20.46  
% 141.96/20.46  [15530] CLOSURE : big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))
% 141.96/20.46  
% 141.96/20.46  [15415] BETA_EQUIV : (big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))))
% 141.96/20.46  	-> [15607] ~big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), ~(big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  	-> [15608] big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), (big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  
% 141.96/20.46  [15608] CLOSURE : big_f(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))
% 141.96/20.46  
% 141.96/20.46  [15607] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))) => big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  	-> [15613] big_f(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))), ~big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))
% 141.96/20.46  
% 141.96/20.46  [15613] BETA_NOT_EQUIV : ~(big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)) <=> big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))))
% 141.96/20.46  	-> [15622] ~big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))
% 141.96/20.46  	-> [15623] big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), ~big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))
% 141.96/20.46  
% 141.96/20.46  [15623] CLOSURE : big_g(X3_425_0, skolem_Z55(X3_425_0, X3_425_0))
% 141.96/20.46  
% 141.96/20.46  [15622] CLOSURE : big_g(skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)), skolem_Z55(X3_425_0, skolem_Z55(X3_425_0, X3_425_0)))
% 141.96/20.46  
% 141.96/20.46  [15174]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15423] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15423] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15427] ~! [Z5_5] :  (((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) => (big_f(X3_426_0, Z5_5) <=> big_g(skolem_Z55(X3_426_0, X3_426_0), Z5_5))) => ((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15427] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) => (big_f(X3_426_0, Z5_5) <=> big_g(skolem_Z55(X3_426_0, X3_426_0), Z5_5))) => ((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15429] ~((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) => (big_f(X3_426_0, skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) <=> big_g(skolem_Z55(X3_426_0, X3_426_0), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))) => ((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))) => (big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))))
% 141.96/20.46  
% 141.96/20.46  [15429] ALPHA_NOT_IMPLY : ~((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) => (big_f(X3_426_0, skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) <=> big_g(skolem_Z55(X3_426_0, X3_426_0), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))) => ((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))) => (big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))))
% 141.96/20.46  	-> [15431] (big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) => (big_f(X3_426_0, skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) <=> big_g(skolem_Z55(X3_426_0, X3_426_0), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))), ~((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))) => (big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))))
% 141.96/20.46  
% 141.96/20.46  [15431] ALPHA_NOT_IMPLY : ~((big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))) => (big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))))
% 141.96/20.46  	-> [15433] (big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))), ~(big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  
% 141.96/20.46  [15433] BETA_IMPLY : (big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) => (big_f(X3_426_0, skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) <=> big_g(skolem_Z55(X3_426_0, X3_426_0), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))))
% 141.96/20.46  	-> [15436] ~big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))
% 141.96/20.46  	-> [15437] (big_f(X3_426_0, skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) <=> big_g(skolem_Z55(X3_426_0, X3_426_0), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  
% 141.96/20.46  [15437] BETA_EQUIV : (big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))))
% 141.96/20.46  	-> [15443] ~big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), ~(big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  	-> [15444] big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  
% 141.96/20.46  [15444] CLOSURE : big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))
% 141.96/20.46  
% 141.96/20.46  [15467] BETA_NOT_EQUIV : ~(big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  	-> [15741] ~big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))
% 141.96/20.46  	-> [15742] big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), ~big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))
% 141.96/20.46  
% 141.96/20.46  [15742] CLOSURE : big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))
% 141.96/20.46  
% 141.96/20.46  [15741] CLOSURE : big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))
% 141.96/20.46  
% 141.96/20.46  [15436] BETA_EQUIV : (big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))))
% 141.96/20.46  	-> [16468] ~big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), ~(big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  	-> [16469] big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), (big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  
% 141.96/20.46  [16469] CLOSURE : big_f(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))
% 141.96/20.46  
% 141.96/20.46  [16468] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))) => big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  	-> [16471] big_f(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))), ~big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))
% 141.96/20.46  
% 141.96/20.46  [16471] BETA_NOT_EQUIV : ~(big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)) <=> big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))))
% 141.96/20.46  	-> [16480] ~big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))
% 141.96/20.46  	-> [16481] big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), ~big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))
% 141.96/20.46  
% 141.96/20.46  [16481] CLOSURE : big_g(X3_426_0, skolem_Z55(X3_426_0, X3_426_0))
% 141.96/20.46  
% 141.96/20.46  [16480] CLOSURE : big_g(skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)), skolem_Z55(X3_426_0, skolem_Z55(X3_426_0, X3_426_0)))
% 141.96/20.46  
% 141.96/20.46  [14837] BETA_IMPLY : (big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)) => big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0)))
% 141.96/20.46  	-> [14873] ~big_f(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  	-> [14874] big_g(skolem_Z55(Y4_373_0, Y4_373_0), skolem_Z55(Y4_373_0, Y4_373_0))
% 141.96/20.46  
% 141.96/20.46  [14874]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14939] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14939] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14944] ~! [Z5_5] :  (((big_f(Y4_401_0, Y4_401_0) => (big_f(Y4_401_0, Z5_5) <=> big_g(Y4_401_0, Z5_5))) => ((big_f(Y4_401_0, Y4_401_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_401_0, Y4_401_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14944] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_401_0, Y4_401_0) => (big_f(Y4_401_0, Z5_5) <=> big_g(Y4_401_0, Z5_5))) => ((big_f(Y4_401_0, Y4_401_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_401_0, Y4_401_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14947] ~((big_f(Y4_401_0, Y4_401_0) => (big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)) <=> big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)))) => ((big_f(Y4_401_0, Y4_401_0) <=> (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))) => (big_g(Y4_401_0, Y4_401_0) <=> big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))))
% 141.96/20.46  
% 141.96/20.46  [14947] ALPHA_NOT_IMPLY : ~((big_f(Y4_401_0, Y4_401_0) => (big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)) <=> big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)))) => ((big_f(Y4_401_0, Y4_401_0) <=> (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))) => (big_g(Y4_401_0, Y4_401_0) <=> big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))))
% 141.96/20.46  	-> [14948] (big_f(Y4_401_0, Y4_401_0) => (big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)) <=> big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)))), ~((big_f(Y4_401_0, Y4_401_0) <=> (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))) => (big_g(Y4_401_0, Y4_401_0) <=> big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))))
% 141.96/20.46  
% 141.96/20.46  [14948] ALPHA_NOT_IMPLY : ~((big_f(Y4_401_0, Y4_401_0) <=> (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))) => (big_g(Y4_401_0, Y4_401_0) <=> big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))))
% 141.96/20.46  	-> [14951] (big_f(Y4_401_0, Y4_401_0) <=> (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))), ~(big_g(Y4_401_0, Y4_401_0) <=> big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  
% 141.96/20.46  [14951] BETA_IMPLY : (big_f(Y4_401_0, Y4_401_0) => (big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)) <=> big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0))))
% 141.96/20.46  	-> [14954] ~big_f(Y4_401_0, Y4_401_0)
% 141.96/20.46  	-> [14955] (big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)) <=> big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  
% 141.96/20.46  [14954] CLOSURE : ~big_f(Y4_401_0, Y4_401_0)
% 141.96/20.46  
% 141.96/20.46  [14955] BETA_EQUIV : (big_f(Y4_401_0, Y4_401_0) <=> (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))))
% 141.96/20.46  	-> [15595] ~big_f(Y4_401_0, Y4_401_0), ~(big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  	-> [15596] big_f(Y4_401_0, Y4_401_0), (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  
% 141.96/20.46  [15595] CLOSURE : ~big_f(Y4_401_0, Y4_401_0)
% 141.96/20.46  
% 141.96/20.46  [15596] BETA_NOT_EQUIV : ~(big_g(Y4_401_0, Y4_401_0) <=> big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  	-> [15773] ~big_g(Y4_401_0, Y4_401_0), big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  	-> [15774] big_g(Y4_401_0, Y4_401_0), ~big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  
% 141.96/20.46  [15774] CLOSURE : big_g(Y4_401_0, Y4_401_0)
% 141.96/20.46  
% 141.96/20.46  [15773] BETA_EQUIV : (big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)) <=> big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  	-> [15792] ~big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)), ~big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  	-> [15793] big_f(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0)), big_g(Y4_401_0, skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  
% 141.96/20.46  [15792] BETA_IMPLY : (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  	-> [15806] ~big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  	-> [15807] big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  
% 141.96/20.46  [15807]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15859] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15859] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15860] ~! [Z5_5] :  (((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) => (big_f(X3_432_0, Z5_5) <=> big_g(skolem_Z55(X3_432_0, X3_432_0), Z5_5))) => ((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15860] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) => (big_f(X3_432_0, Z5_5) <=> big_g(skolem_Z55(X3_432_0, X3_432_0), Z5_5))) => ((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15861] ~((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) => (big_f(X3_432_0, skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) <=> big_g(skolem_Z55(X3_432_0, X3_432_0), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))) => ((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))) => (big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))))
% 141.96/20.46  
% 141.96/20.46  [15861] ALPHA_NOT_IMPLY : ~((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) => (big_f(X3_432_0, skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) <=> big_g(skolem_Z55(X3_432_0, X3_432_0), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))) => ((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))) => (big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))))
% 141.96/20.46  	-> [15862] (big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) => (big_f(X3_432_0, skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) <=> big_g(skolem_Z55(X3_432_0, X3_432_0), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))), ~((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))) => (big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))))
% 141.96/20.46  
% 141.96/20.46  [15862] ALPHA_NOT_IMPLY : ~((big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))) => (big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))))
% 141.96/20.46  	-> [15865] (big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))), ~(big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  
% 141.96/20.46  [15865] BETA_IMPLY : (big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) => (big_f(X3_432_0, skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) <=> big_g(skolem_Z55(X3_432_0, X3_432_0), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))))
% 141.96/20.46  	-> [15866] ~big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))
% 141.96/20.46  	-> [15867] (big_f(X3_432_0, skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) <=> big_g(skolem_Z55(X3_432_0, X3_432_0), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  
% 141.96/20.46  [15867] BETA_EQUIV : (big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))))
% 141.96/20.46  	-> [15872] ~big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), ~(big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  	-> [15873] big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  
% 141.96/20.46  [15873] CLOSURE : big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))
% 141.96/20.46  
% 141.96/20.46  [15878] BETA_NOT_EQUIV : ~(big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  	-> [15912] ~big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))
% 141.96/20.46  	-> [15913] big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), ~big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))
% 141.96/20.46  
% 141.96/20.46  [15913] CLOSURE : big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))
% 141.96/20.46  
% 141.96/20.46  [15912] CLOSURE : big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))
% 141.96/20.46  
% 141.96/20.46  [15866] BETA_EQUIV : (big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))))
% 141.96/20.46  	-> [16152] ~big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), ~(big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  	-> [16153] big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), (big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  
% 141.96/20.46  [16153] CLOSURE : big_f(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))
% 141.96/20.46  
% 141.96/20.46  [16152] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))) => big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  	-> [16159] big_f(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))), ~big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))
% 141.96/20.46  
% 141.96/20.46  [16159] BETA_NOT_EQUIV : ~(big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)) <=> big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))))
% 141.96/20.46  	-> [16170] ~big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))
% 141.96/20.46  	-> [16171] big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), ~big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))
% 141.96/20.46  
% 141.96/20.46  [16171] CLOSURE : big_g(X3_432_0, skolem_Z55(X3_432_0, X3_432_0))
% 141.96/20.46  
% 141.96/20.46  [16170] CLOSURE : big_g(skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)), skolem_Z55(X3_432_0, skolem_Z55(X3_432_0, X3_432_0)))
% 141.96/20.46  
% 141.96/20.46  [15806]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15844] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15844] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15845] ~! [Z5_5] :  (((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) => (big_f(X3_431_0, Z5_5) <=> big_g(skolem_Z55(X3_431_0, X3_431_0), Z5_5))) => ((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15845] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) => (big_f(X3_431_0, Z5_5) <=> big_g(skolem_Z55(X3_431_0, X3_431_0), Z5_5))) => ((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15846] ~((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) => (big_f(X3_431_0, skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) <=> big_g(skolem_Z55(X3_431_0, X3_431_0), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))) => ((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))) => (big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))))
% 141.96/20.46  
% 141.96/20.46  [15846] ALPHA_NOT_IMPLY : ~((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) => (big_f(X3_431_0, skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) <=> big_g(skolem_Z55(X3_431_0, X3_431_0), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))) => ((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))) => (big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))))
% 141.96/20.46  	-> [15849] (big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) => (big_f(X3_431_0, skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) <=> big_g(skolem_Z55(X3_431_0, X3_431_0), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))), ~((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))) => (big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))))
% 141.96/20.46  
% 141.96/20.46  [15849] ALPHA_NOT_IMPLY : ~((big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))) => (big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))))
% 141.96/20.46  	-> [15850] (big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))), ~(big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  
% 141.96/20.46  [15850] BETA_IMPLY : (big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) => (big_f(X3_431_0, skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) <=> big_g(skolem_Z55(X3_431_0, X3_431_0), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))))
% 141.96/20.46  	-> [15851] ~big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))
% 141.96/20.46  	-> [15852] (big_f(X3_431_0, skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) <=> big_g(skolem_Z55(X3_431_0, X3_431_0), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  
% 141.96/20.46  [15852] BETA_EQUIV : (big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))))
% 141.96/20.46  	-> [15855] ~big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), ~(big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  	-> [15856] big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  
% 141.96/20.46  [15856] CLOSURE : big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))
% 141.96/20.46  
% 141.96/20.46  [15881] BETA_NOT_EQUIV : ~(big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  	-> [16003] ~big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))
% 141.96/20.46  	-> [16004] big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), ~big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))
% 141.96/20.46  
% 141.96/20.46  [16004] CLOSURE : big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))
% 141.96/20.46  
% 141.96/20.46  [16003] CLOSURE : big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))
% 141.96/20.46  
% 141.96/20.46  [15851] BETA_EQUIV : (big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))))
% 141.96/20.46  	-> [16343] ~big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), ~(big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  	-> [16344] big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), (big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  
% 141.96/20.46  [16344] CLOSURE : big_f(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))
% 141.96/20.46  
% 141.96/20.46  [16343] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))) => big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  	-> [16345] big_f(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))), ~big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))
% 141.96/20.46  
% 141.96/20.46  [16345] BETA_NOT_EQUIV : ~(big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)) <=> big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))))
% 141.96/20.46  	-> [16350] ~big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))
% 141.96/20.46  	-> [16351] big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), ~big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))
% 141.96/20.46  
% 141.96/20.46  [16351] CLOSURE : big_g(X3_431_0, skolem_Z55(X3_431_0, X3_431_0))
% 141.96/20.46  
% 141.96/20.46  [16350] CLOSURE : big_g(skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)), skolem_Z55(X3_431_0, skolem_Z55(X3_431_0, X3_431_0)))
% 141.96/20.46  
% 141.96/20.46  [15793] BETA_IMPLY : (big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)) => big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0)))
% 141.96/20.46  	-> [15812] ~big_f(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  	-> [15813] big_g(skolem_Z55(Y4_401_0, Y4_401_0), skolem_Z55(Y4_401_0, Y4_401_0))
% 141.96/20.46  
% 141.96/20.46  [15813]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15927] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15927] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15932] ~! [Z5_5] :  (((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) => (big_f(X3_433_0, Z5_5) <=> big_g(skolem_Z55(X3_433_0, X3_433_0), Z5_5))) => ((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15932] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) => (big_f(X3_433_0, Z5_5) <=> big_g(skolem_Z55(X3_433_0, X3_433_0), Z5_5))) => ((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15933] ~((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) => (big_f(X3_433_0, skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) <=> big_g(skolem_Z55(X3_433_0, X3_433_0), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))) => ((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))) => (big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))))
% 141.96/20.46  
% 141.96/20.46  [15933] ALPHA_NOT_IMPLY : ~((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) => (big_f(X3_433_0, skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) <=> big_g(skolem_Z55(X3_433_0, X3_433_0), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))) => ((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))) => (big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))))
% 141.96/20.46  	-> [15936] (big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) => (big_f(X3_433_0, skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) <=> big_g(skolem_Z55(X3_433_0, X3_433_0), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))), ~((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))) => (big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))))
% 141.96/20.46  
% 141.96/20.46  [15936] ALPHA_NOT_IMPLY : ~((big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))) => (big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))))
% 141.96/20.46  	-> [15937] (big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))), ~(big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  
% 141.96/20.46  [15937] BETA_IMPLY : (big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) => (big_f(X3_433_0, skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) <=> big_g(skolem_Z55(X3_433_0, X3_433_0), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))))
% 141.96/20.46  	-> [15938] ~big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))
% 141.96/20.46  	-> [15939] (big_f(X3_433_0, skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) <=> big_g(skolem_Z55(X3_433_0, X3_433_0), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  
% 141.96/20.46  [15939] BETA_EQUIV : (big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))))
% 141.96/20.46  	-> [15942] ~big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), ~(big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  	-> [15943] big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  
% 141.96/20.46  [15943] CLOSURE : big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))
% 141.96/20.46  
% 141.96/20.46  [16029] BETA_NOT_EQUIV : ~(big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  	-> [16341] ~big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))
% 141.96/20.46  	-> [16342] big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), ~big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))
% 141.96/20.46  
% 141.96/20.46  [16342] CLOSURE : big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))
% 141.96/20.46  
% 141.96/20.46  [16341] CLOSURE : big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))
% 141.96/20.46  
% 141.96/20.46  [15938] BETA_EQUIV : (big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))))
% 141.96/20.46  	-> [16358] ~big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), ~(big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  	-> [16359] big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), (big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  
% 141.96/20.46  [16359] CLOSURE : big_f(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))
% 141.96/20.46  
% 141.96/20.46  [16358] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))) => big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  	-> [16367] big_f(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))), ~big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))
% 141.96/20.46  
% 141.96/20.46  [16367] BETA_NOT_EQUIV : ~(big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)) <=> big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))))
% 141.96/20.46  	-> [16374] ~big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))
% 141.96/20.46  	-> [16375] big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), ~big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))
% 141.96/20.46  
% 141.96/20.46  [16375] CLOSURE : big_g(X3_433_0, skolem_Z55(X3_433_0, X3_433_0))
% 141.96/20.46  
% 141.96/20.46  [16374] CLOSURE : big_g(skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)), skolem_Z55(X3_433_0, skolem_Z55(X3_433_0, X3_433_0)))
% 141.96/20.46  
% 141.96/20.46  [15812]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15962] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15962] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15963] ~! [Z5_5] :  (((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) => (big_f(X3_434_0, Z5_5) <=> big_g(skolem_Z55(X3_434_0, X3_434_0), Z5_5))) => ((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15963] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) => (big_f(X3_434_0, Z5_5) <=> big_g(skolem_Z55(X3_434_0, X3_434_0), Z5_5))) => ((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15964] ~((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) => (big_f(X3_434_0, skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) <=> big_g(skolem_Z55(X3_434_0, X3_434_0), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))) => ((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))) => (big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))))
% 141.96/20.46  
% 141.96/20.46  [15964] ALPHA_NOT_IMPLY : ~((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) => (big_f(X3_434_0, skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) <=> big_g(skolem_Z55(X3_434_0, X3_434_0), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))) => ((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))) => (big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))))
% 141.96/20.46  	-> [15965] (big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) => (big_f(X3_434_0, skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) <=> big_g(skolem_Z55(X3_434_0, X3_434_0), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))), ~((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))) => (big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))))
% 141.96/20.46  
% 141.96/20.46  [15965] ALPHA_NOT_IMPLY : ~((big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))) => (big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))))
% 141.96/20.46  	-> [15966] (big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))), ~(big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  
% 141.96/20.46  [15966] BETA_IMPLY : (big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) => (big_f(X3_434_0, skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) <=> big_g(skolem_Z55(X3_434_0, X3_434_0), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))))
% 141.96/20.46  	-> [15967] ~big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))
% 141.96/20.46  	-> [15968] (big_f(X3_434_0, skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) <=> big_g(skolem_Z55(X3_434_0, X3_434_0), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  
% 141.96/20.46  [15968] BETA_EQUIV : (big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))))
% 141.96/20.46  	-> [15969] ~big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), ~(big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  	-> [15970] big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  
% 141.96/20.46  [15970] CLOSURE : big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))
% 141.96/20.46  
% 141.96/20.46  [15977] BETA_NOT_EQUIV : ~(big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  	-> [16080] ~big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))
% 141.96/20.46  	-> [16081] big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), ~big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))
% 141.96/20.46  
% 141.96/20.46  [16081] CLOSURE : big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))
% 141.96/20.46  
% 141.96/20.46  [16080] CLOSURE : big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))
% 141.96/20.46  
% 141.96/20.46  [15967] BETA_EQUIV : (big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))))
% 141.96/20.46  	-> [16425] ~big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), ~(big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  	-> [16426] big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), (big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  
% 141.96/20.46  [16426] CLOSURE : big_f(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))
% 141.96/20.46  
% 141.96/20.46  [16425] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))) => big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  	-> [16445] big_f(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))), ~big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))
% 141.96/20.46  
% 141.96/20.46  [16445] BETA_NOT_EQUIV : ~(big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)) <=> big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))))
% 141.96/20.46  	-> [16488] ~big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))
% 141.96/20.46  	-> [16489] big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), ~big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))
% 141.96/20.46  
% 141.96/20.46  [16489] CLOSURE : big_g(X3_434_0, skolem_Z55(X3_434_0, X3_434_0))
% 141.96/20.46  
% 141.96/20.46  [16488] CLOSURE : big_g(skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)), skolem_Z55(X3_434_0, skolem_Z55(X3_434_0, X3_434_0)))
% 141.96/20.46  
% 141.96/20.46  [14873]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14959] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14959] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14960] ~! [Z5_5] :  (((big_f(Y4_402_0, Y4_402_0) => (big_f(Y4_402_0, Z5_5) <=> big_g(Y4_402_0, Z5_5))) => ((big_f(Y4_402_0, Y4_402_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_402_0, Y4_402_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14960] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_402_0, Y4_402_0) => (big_f(Y4_402_0, Z5_5) <=> big_g(Y4_402_0, Z5_5))) => ((big_f(Y4_402_0, Y4_402_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_402_0, Y4_402_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14964] ~((big_f(Y4_402_0, Y4_402_0) => (big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)) <=> big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)))) => ((big_f(Y4_402_0, Y4_402_0) <=> (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))) => (big_g(Y4_402_0, Y4_402_0) <=> big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))))
% 141.96/20.46  
% 141.96/20.46  [14964] ALPHA_NOT_IMPLY : ~((big_f(Y4_402_0, Y4_402_0) => (big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)) <=> big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)))) => ((big_f(Y4_402_0, Y4_402_0) <=> (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))) => (big_g(Y4_402_0, Y4_402_0) <=> big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))))
% 141.96/20.46  	-> [14970] (big_f(Y4_402_0, Y4_402_0) => (big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)) <=> big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)))), ~((big_f(Y4_402_0, Y4_402_0) <=> (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))) => (big_g(Y4_402_0, Y4_402_0) <=> big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))))
% 141.96/20.46  
% 141.96/20.46  [14970] ALPHA_NOT_IMPLY : ~((big_f(Y4_402_0, Y4_402_0) <=> (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))) => (big_g(Y4_402_0, Y4_402_0) <=> big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))))
% 141.96/20.46  	-> [14972] (big_f(Y4_402_0, Y4_402_0) <=> (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))), ~(big_g(Y4_402_0, Y4_402_0) <=> big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  
% 141.96/20.46  [14972] BETA_IMPLY : (big_f(Y4_402_0, Y4_402_0) => (big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)) <=> big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0))))
% 141.96/20.46  	-> [14974] ~big_f(Y4_402_0, Y4_402_0)
% 141.96/20.46  	-> [14975] (big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)) <=> big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  
% 141.96/20.46  [14974] CLOSURE : ~big_f(Y4_402_0, Y4_402_0)
% 141.96/20.46  
% 141.96/20.46  [14975] BETA_EQUIV : (big_f(Y4_402_0, Y4_402_0) <=> (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))))
% 141.96/20.46  	-> [15492] ~big_f(Y4_402_0, Y4_402_0), ~(big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  	-> [15493] big_f(Y4_402_0, Y4_402_0), (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  
% 141.96/20.46  [15492] CLOSURE : ~big_f(Y4_402_0, Y4_402_0)
% 141.96/20.46  
% 141.96/20.46  [15493] BETA_NOT_EQUIV : ~(big_g(Y4_402_0, Y4_402_0) <=> big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  	-> [15498] ~big_g(Y4_402_0, Y4_402_0), big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  	-> [15499] big_g(Y4_402_0, Y4_402_0), ~big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  
% 141.96/20.46  [15499] CLOSURE : big_g(Y4_402_0, Y4_402_0)
% 141.96/20.46  
% 141.96/20.46  [15498] BETA_EQUIV : (big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)) <=> big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  	-> [15524] ~big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)), ~big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  	-> [15525] big_f(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0)), big_g(Y4_402_0, skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  
% 141.96/20.46  [15524] BETA_IMPLY : (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  	-> [15542] ~big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  	-> [15543] big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  
% 141.96/20.46  [15542]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15558] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15558] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15559] ~! [Z5_5] :  (((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) => (big_f(X3_427_0, Z5_5) <=> big_g(skolem_Z55(X3_427_0, X3_427_0), Z5_5))) => ((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15559] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) => (big_f(X3_427_0, Z5_5) <=> big_g(skolem_Z55(X3_427_0, X3_427_0), Z5_5))) => ((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15560] ~((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) => (big_f(X3_427_0, skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) <=> big_g(skolem_Z55(X3_427_0, X3_427_0), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))) => ((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))) => (big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))))
% 141.96/20.46  
% 141.96/20.46  [15560] ALPHA_NOT_IMPLY : ~((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) => (big_f(X3_427_0, skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) <=> big_g(skolem_Z55(X3_427_0, X3_427_0), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))) => ((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))) => (big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))))
% 141.96/20.46  	-> [15561] (big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) => (big_f(X3_427_0, skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) <=> big_g(skolem_Z55(X3_427_0, X3_427_0), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))), ~((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))) => (big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))))
% 141.96/20.46  
% 141.96/20.46  [15561] ALPHA_NOT_IMPLY : ~((big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))) => (big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))))
% 141.96/20.46  	-> [15564] (big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))), ~(big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  
% 141.96/20.46  [15564] BETA_IMPLY : (big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) => (big_f(X3_427_0, skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) <=> big_g(skolem_Z55(X3_427_0, X3_427_0), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))))
% 141.96/20.46  	-> [15565] ~big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))
% 141.96/20.46  	-> [15566] (big_f(X3_427_0, skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) <=> big_g(skolem_Z55(X3_427_0, X3_427_0), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  
% 141.96/20.46  [15566] BETA_EQUIV : (big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))))
% 141.96/20.46  	-> [15570] ~big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), ~(big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  	-> [15571] big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  
% 141.96/20.46  [15571] CLOSURE : big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))
% 141.96/20.46  
% 141.96/20.46  [15616] BETA_NOT_EQUIV : ~(big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  	-> [15644] ~big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))
% 141.96/20.46  	-> [15645] big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), ~big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))
% 141.96/20.46  
% 141.96/20.46  [15645] CLOSURE : big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))
% 141.96/20.46  
% 141.96/20.46  [15644] CLOSURE : big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))
% 141.96/20.46  
% 141.96/20.46  [15565] BETA_EQUIV : (big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))))
% 141.96/20.46  	-> [15679] ~big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), ~(big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  	-> [15680] big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), (big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  
% 141.96/20.46  [15680] CLOSURE : big_f(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))
% 141.96/20.46  
% 141.96/20.46  [15679] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))) => big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  	-> [15689] big_f(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))), ~big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))
% 141.96/20.46  
% 141.96/20.46  [15689] BETA_NOT_EQUIV : ~(big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)) <=> big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))))
% 141.96/20.46  	-> [15695] ~big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))
% 141.96/20.46  	-> [15696] big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), ~big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))
% 141.96/20.46  
% 141.96/20.46  [15696] CLOSURE : big_g(X3_427_0, skolem_Z55(X3_427_0, X3_427_0))
% 141.96/20.46  
% 141.96/20.46  [15695] CLOSURE : big_g(skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)), skolem_Z55(X3_427_0, skolem_Z55(X3_427_0, X3_427_0)))
% 141.96/20.46  
% 141.96/20.46  [15543]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15572] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15572] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15573] ~! [Z5_5] :  (((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) => (big_f(X3_428_0, Z5_5) <=> big_g(skolem_Z55(X3_428_0, X3_428_0), Z5_5))) => ((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15573] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) => (big_f(X3_428_0, Z5_5) <=> big_g(skolem_Z55(X3_428_0, X3_428_0), Z5_5))) => ((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15574] ~((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) => (big_f(X3_428_0, skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) <=> big_g(skolem_Z55(X3_428_0, X3_428_0), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))) => ((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))) => (big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))))
% 141.96/20.46  
% 141.96/20.46  [15574] ALPHA_NOT_IMPLY : ~((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) => (big_f(X3_428_0, skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) <=> big_g(skolem_Z55(X3_428_0, X3_428_0), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))) => ((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))) => (big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))))
% 141.96/20.46  	-> [15575] (big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) => (big_f(X3_428_0, skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) <=> big_g(skolem_Z55(X3_428_0, X3_428_0), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))), ~((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))) => (big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))))
% 141.96/20.46  
% 141.96/20.46  [15575] ALPHA_NOT_IMPLY : ~((big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))) => (big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))))
% 141.96/20.46  	-> [15576] (big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))), ~(big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  
% 141.96/20.46  [15576] BETA_IMPLY : (big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) => (big_f(X3_428_0, skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) <=> big_g(skolem_Z55(X3_428_0, X3_428_0), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))))
% 141.96/20.46  	-> [15579] ~big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))
% 141.96/20.46  	-> [15580] (big_f(X3_428_0, skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) <=> big_g(skolem_Z55(X3_428_0, X3_428_0), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  
% 141.96/20.46  [15580] BETA_EQUIV : (big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))))
% 141.96/20.46  	-> [15583] ~big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), ~(big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  	-> [15584] big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  
% 141.96/20.46  [15584] CLOSURE : big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))
% 141.96/20.46  
% 141.96/20.46  [15621] BETA_NOT_EQUIV : ~(big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  	-> [15978] ~big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))
% 141.96/20.46  	-> [15979] big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), ~big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))
% 141.96/20.46  
% 141.96/20.46  [15979] CLOSURE : big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))
% 141.96/20.46  
% 141.96/20.46  [15978] CLOSURE : big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))
% 141.96/20.46  
% 141.96/20.46  [15579] BETA_EQUIV : (big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))))
% 141.96/20.46  	-> [16098] ~big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), ~(big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  	-> [16099] big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), (big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  
% 141.96/20.46  [16099] CLOSURE : big_f(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))
% 141.96/20.46  
% 141.96/20.46  [16098] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))) => big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  	-> [16107] big_f(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))), ~big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))
% 141.96/20.46  
% 141.96/20.46  [16107] BETA_NOT_EQUIV : ~(big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)) <=> big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))))
% 141.96/20.46  	-> [16122] ~big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))
% 141.96/20.46  	-> [16123] big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), ~big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))
% 141.96/20.46  
% 141.96/20.46  [16123] CLOSURE : big_g(X3_428_0, skolem_Z55(X3_428_0, X3_428_0))
% 141.96/20.46  
% 141.96/20.46  [16122] CLOSURE : big_g(skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)), skolem_Z55(X3_428_0, skolem_Z55(X3_428_0, X3_428_0)))
% 141.96/20.46  
% 141.96/20.46  [15525] BETA_IMPLY : (big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)) => big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0)))
% 141.96/20.46  	-> [15554] ~big_f(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  	-> [15555] big_g(skolem_Z55(Y4_402_0, Y4_402_0), skolem_Z55(Y4_402_0, Y4_402_0))
% 141.96/20.46  
% 141.96/20.46  [15555]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15591] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15591] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15654] ~! [Z5_5] :  (((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) => (big_f(X3_430_0, Z5_5) <=> big_g(skolem_Z55(X3_430_0, X3_430_0), Z5_5))) => ((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15654] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) => (big_f(X3_430_0, Z5_5) <=> big_g(skolem_Z55(X3_430_0, X3_430_0), Z5_5))) => ((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15655] ~((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) => (big_f(X3_430_0, skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) <=> big_g(skolem_Z55(X3_430_0, X3_430_0), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))) => ((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))) => (big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))))
% 141.96/20.46  
% 141.96/20.46  [15655] ALPHA_NOT_IMPLY : ~((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) => (big_f(X3_430_0, skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) <=> big_g(skolem_Z55(X3_430_0, X3_430_0), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))) => ((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))) => (big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))))
% 141.96/20.46  	-> [15656] (big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) => (big_f(X3_430_0, skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) <=> big_g(skolem_Z55(X3_430_0, X3_430_0), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))), ~((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))) => (big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))))
% 141.96/20.46  
% 141.96/20.46  [15656] ALPHA_NOT_IMPLY : ~((big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))) => (big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))))
% 141.96/20.46  	-> [15657] (big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))), ~(big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  
% 141.96/20.46  [15657] BETA_IMPLY : (big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) => (big_f(X3_430_0, skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) <=> big_g(skolem_Z55(X3_430_0, X3_430_0), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))))
% 141.96/20.46  	-> [15658] ~big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))
% 141.96/20.46  	-> [15659] (big_f(X3_430_0, skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) <=> big_g(skolem_Z55(X3_430_0, X3_430_0), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  
% 141.96/20.46  [15659] BETA_EQUIV : (big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))))
% 141.96/20.46  	-> [15667] ~big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), ~(big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  	-> [15668] big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  
% 141.96/20.46  [15668] CLOSURE : big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))
% 141.96/20.46  
% 141.96/20.46  [15694] BETA_NOT_EQUIV : ~(big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  	-> [15767] ~big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))
% 141.96/20.46  	-> [15768] big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), ~big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))
% 141.96/20.46  
% 141.96/20.46  [15768] CLOSURE : big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))
% 141.96/20.46  
% 141.96/20.46  [15767] CLOSURE : big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))
% 141.96/20.46  
% 141.96/20.46  [15658] BETA_EQUIV : (big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))))
% 141.96/20.46  	-> [16346] ~big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), ~(big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  	-> [16347] big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), (big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  
% 141.96/20.46  [16347] CLOSURE : big_f(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))
% 141.96/20.46  
% 141.96/20.46  [16346] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))) => big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  	-> [16362] big_f(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))), ~big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))
% 141.96/20.46  
% 141.96/20.46  [16362] BETA_NOT_EQUIV : ~(big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)) <=> big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))))
% 141.96/20.46  	-> [16385] ~big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))
% 141.96/20.46  	-> [16386] big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), ~big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))
% 141.96/20.46  
% 141.96/20.46  [16386] CLOSURE : big_g(X3_430_0, skolem_Z55(X3_430_0, X3_430_0))
% 141.96/20.46  
% 141.96/20.46  [16385] CLOSURE : big_g(skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)), skolem_Z55(X3_430_0, skolem_Z55(X3_430_0, X3_430_0)))
% 141.96/20.46  
% 141.96/20.46  [15554]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15594] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15594] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15597] ~! [Z5_5] :  (((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) => (big_f(X3_429_0, Z5_5) <=> big_g(skolem_Z55(X3_429_0, X3_429_0), Z5_5))) => ((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15597] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) => (big_f(X3_429_0, Z5_5) <=> big_g(skolem_Z55(X3_429_0, X3_429_0), Z5_5))) => ((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15600] ~((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) => (big_f(X3_429_0, skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) <=> big_g(skolem_Z55(X3_429_0, X3_429_0), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))) => ((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))) => (big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))))
% 141.96/20.46  
% 141.96/20.46  [15600] ALPHA_NOT_IMPLY : ~((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) => (big_f(X3_429_0, skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) <=> big_g(skolem_Z55(X3_429_0, X3_429_0), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))) => ((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))) => (big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))))
% 141.96/20.46  	-> [15601] (big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) => (big_f(X3_429_0, skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) <=> big_g(skolem_Z55(X3_429_0, X3_429_0), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))), ~((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))) => (big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))))
% 141.96/20.46  
% 141.96/20.46  [15601] ALPHA_NOT_IMPLY : ~((big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))) => (big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))))
% 141.96/20.46  	-> [15604] (big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))), ~(big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  
% 141.96/20.46  [15604] BETA_IMPLY : (big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) => (big_f(X3_429_0, skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) <=> big_g(skolem_Z55(X3_429_0, X3_429_0), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))))
% 141.96/20.46  	-> [15605] ~big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))
% 141.96/20.46  	-> [15606] (big_f(X3_429_0, skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) <=> big_g(skolem_Z55(X3_429_0, X3_429_0), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  
% 141.96/20.46  [15606] BETA_EQUIV : (big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))))
% 141.96/20.46  	-> [15611] ~big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), ~(big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  	-> [15612] big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  
% 141.96/20.46  [15612] CLOSURE : big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))
% 141.96/20.46  
% 141.96/20.46  [15632] BETA_NOT_EQUIV : ~(big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  	-> [16553] ~big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))
% 141.96/20.46  	-> [16554] big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), ~big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))
% 141.96/20.46  
% 141.96/20.46  [16554] CLOSURE : big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))
% 141.96/20.46  
% 141.96/20.46  [16553] CLOSURE : big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))
% 141.96/20.46  
% 141.96/20.46  [15605] BETA_EQUIV : (big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))))
% 141.96/20.46  	-> [16610] ~big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), ~(big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  	-> [16611] big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), (big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  
% 141.96/20.46  [16611] CLOSURE : big_f(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))
% 141.96/20.46  
% 141.96/20.46  [16610] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))) => big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  	-> [16614] big_f(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))), ~big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))
% 141.96/20.46  
% 141.96/20.46  [16614] BETA_NOT_EQUIV : ~(big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)) <=> big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))))
% 141.96/20.46  	-> [16616] ~big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))
% 141.96/20.46  	-> [16617] big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), ~big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))
% 141.96/20.46  
% 141.96/20.46  [16617] CLOSURE : big_g(X3_429_0, skolem_Z55(X3_429_0, X3_429_0))
% 141.96/20.46  
% 141.96/20.46  [16616] CLOSURE : big_g(skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)), skolem_Z55(X3_429_0, skolem_Z55(X3_429_0, X3_429_0)))
% 141.96/20.46  
% 141.96/20.46  [14513] BETA_IMPLY : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) => big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 141.96/20.46  	-> [14516] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.46  	-> [14517] big_g(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 141.96/20.46  
% 141.96/20.46  [14517]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14524] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14524] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14525] ~! [Z5_5] :  (((big_f(Y4_369_0, Y4_369_0) => (big_f(Y4_369_0, Z5_5) <=> big_g(Y4_369_0, Z5_5))) => ((big_f(Y4_369_0, Y4_369_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_369_0, Y4_369_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14525] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_369_0, Y4_369_0) => (big_f(Y4_369_0, Z5_5) <=> big_g(Y4_369_0, Z5_5))) => ((big_f(Y4_369_0, Y4_369_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_369_0, Y4_369_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14528] ~((big_f(Y4_369_0, Y4_369_0) => (big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)) <=> big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)))) => ((big_f(Y4_369_0, Y4_369_0) <=> (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))) => (big_g(Y4_369_0, Y4_369_0) <=> big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))))
% 141.96/20.46  
% 141.96/20.46  [14528] ALPHA_NOT_IMPLY : ~((big_f(Y4_369_0, Y4_369_0) => (big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)) <=> big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)))) => ((big_f(Y4_369_0, Y4_369_0) <=> (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))) => (big_g(Y4_369_0, Y4_369_0) <=> big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))))
% 141.96/20.46  	-> [14536] (big_f(Y4_369_0, Y4_369_0) => (big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)) <=> big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)))), ~((big_f(Y4_369_0, Y4_369_0) <=> (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))) => (big_g(Y4_369_0, Y4_369_0) <=> big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))))
% 141.96/20.46  
% 141.96/20.46  [14536] ALPHA_NOT_IMPLY : ~((big_f(Y4_369_0, Y4_369_0) <=> (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))) => (big_g(Y4_369_0, Y4_369_0) <=> big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))))
% 141.96/20.46  	-> [14542] (big_f(Y4_369_0, Y4_369_0) <=> (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))), ~(big_g(Y4_369_0, Y4_369_0) <=> big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  
% 141.96/20.46  [14542] BETA_IMPLY : (big_f(Y4_369_0, Y4_369_0) => (big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)) <=> big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0))))
% 141.96/20.46  	-> [14551] ~big_f(Y4_369_0, Y4_369_0)
% 141.96/20.46  	-> [14552] (big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)) <=> big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  
% 141.96/20.46  [14551] CLOSURE : ~big_f(Y4_369_0, Y4_369_0)
% 141.96/20.46  
% 141.96/20.46  [14552] BETA_EQUIV : (big_f(Y4_369_0, Y4_369_0) <=> (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))))
% 141.96/20.46  	-> [14568] ~big_f(Y4_369_0, Y4_369_0), ~(big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  	-> [14569] big_f(Y4_369_0, Y4_369_0), (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  
% 141.96/20.46  [14568] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  	-> [14582] big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)), ~big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  
% 141.96/20.46  [14582] CLOSURE : ~(big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  
% 141.96/20.46  [14569] BETA_NOT_EQUIV : ~(big_g(Y4_369_0, Y4_369_0) <=> big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  	-> [14579] ~big_g(Y4_369_0, Y4_369_0), big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  	-> [14580] big_g(Y4_369_0, Y4_369_0), ~big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  
% 141.96/20.46  [14580] CLOSURE : big_g(Y4_369_0, Y4_369_0)
% 141.96/20.46  
% 141.96/20.46  [14579] BETA_EQUIV : (big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)) <=> big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  	-> [14588] ~big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)), ~big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  	-> [14589] big_f(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0)), big_g(Y4_369_0, skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  
% 141.96/20.46  [14588] BETA_IMPLY : (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  	-> [14598] ~big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  	-> [14599] big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  
% 141.96/20.46  [14599]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14606] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14606] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14609] ~! [Z5_5] :  (((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) => (big_f(X3_375_0, Z5_5) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), Z5_5))) => ((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14609] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) => (big_f(X3_375_0, Z5_5) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), Z5_5))) => ((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14612] ~((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) => (big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))) => ((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))) => (big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))))
% 141.96/20.46  
% 141.96/20.46  [14612] ALPHA_NOT_IMPLY : ~((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) => (big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))) => ((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))) => (big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))))
% 141.96/20.46  	-> [14614] (big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) => (big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))), ~((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))) => (big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  
% 141.96/20.46  [14614] ALPHA_NOT_IMPLY : ~((big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))) => (big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [14615] (big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))), ~(big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [14615] BETA_IMPLY : (big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) => (big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [14617] ~big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))
% 141.96/20.46  	-> [14618] (big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [14617] CLOSURE : ~big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))
% 141.96/20.46  
% 141.96/20.46  [14618] BETA_EQUIV : (big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [14620] ~big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), ~(big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [14621] big_f(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [14620] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [14699] big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), ~big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [14699] CLOSURE : ~(big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [14621] BETA_NOT_EQUIV : ~(big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [14908] ~big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  	-> [14909] big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), ~big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [14908] CLOSURE : ~big_g(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))
% 141.96/20.46  
% 141.96/20.46  [14909] BETA_EQUIV : (big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [14992] ~big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), ~big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  	-> [14993] big_f(X3_375_0, skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), big_g(skolem_Z55(X3_375_0, X3_375_0), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [14993] BETA_IMPLY : (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [15075] ~big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  	-> [15076] big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [15076] CLOSURE : big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [15075]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15090] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15090] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15094] ~! [Z5_5] :  (((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) => (big_f(X3_412_0, Z5_5) <=> big_g(skolem_Z55(X3_412_0, X3_412_0), Z5_5))) => ((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15094] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) => (big_f(X3_412_0, Z5_5) <=> big_g(skolem_Z55(X3_412_0, X3_412_0), Z5_5))) => ((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15095] ~((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) => (big_f(X3_412_0, skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) <=> big_g(skolem_Z55(X3_412_0, X3_412_0), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))) => ((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))) => (big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))))
% 141.96/20.46  
% 141.96/20.46  [15095] ALPHA_NOT_IMPLY : ~((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) => (big_f(X3_412_0, skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) <=> big_g(skolem_Z55(X3_412_0, X3_412_0), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))) => ((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))) => (big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))))
% 141.96/20.46  	-> [15098] (big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) => (big_f(X3_412_0, skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) <=> big_g(skolem_Z55(X3_412_0, X3_412_0), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))), ~((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))) => (big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))))
% 141.96/20.46  
% 141.96/20.46  [15098] ALPHA_NOT_IMPLY : ~((big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))) => (big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))))
% 141.96/20.46  	-> [15101] (big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))), ~(big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  
% 141.96/20.46  [15101] BETA_IMPLY : (big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) => (big_f(X3_412_0, skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) <=> big_g(skolem_Z55(X3_412_0, X3_412_0), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))))
% 141.96/20.46  	-> [15102] ~big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))
% 141.96/20.46  	-> [15103] (big_f(X3_412_0, skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) <=> big_g(skolem_Z55(X3_412_0, X3_412_0), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  
% 141.96/20.46  [15103] BETA_EQUIV : (big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))))
% 141.96/20.46  	-> [15113] ~big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), ~(big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  	-> [15114] big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  
% 141.96/20.46  [15114] CLOSURE : big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))
% 141.96/20.46  
% 141.96/20.46  [15136] BETA_NOT_EQUIV : ~(big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  	-> [15508] ~big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))
% 141.96/20.46  	-> [15509] big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), ~big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))
% 141.96/20.46  
% 141.96/20.46  [15509] CLOSURE : big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))
% 141.96/20.46  
% 141.96/20.46  [15508] CLOSURE : big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))
% 141.96/20.46  
% 141.96/20.46  [15102] BETA_EQUIV : (big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))))
% 141.96/20.46  	-> [16249] ~big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), ~(big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  	-> [16250] big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), (big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  
% 141.96/20.46  [16250] CLOSURE : big_f(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))
% 141.96/20.46  
% 141.96/20.46  [16249] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))) => big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  	-> [16263] big_f(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))), ~big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))
% 141.96/20.46  
% 141.96/20.46  [16263] BETA_NOT_EQUIV : ~(big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)) <=> big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))))
% 141.96/20.46  	-> [16276] ~big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))
% 141.96/20.46  	-> [16277] big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), ~big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))
% 141.96/20.46  
% 141.96/20.46  [16277] CLOSURE : big_g(X3_412_0, skolem_Z55(X3_412_0, X3_412_0))
% 141.96/20.46  
% 141.96/20.46  [16276] CLOSURE : big_g(skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)), skolem_Z55(X3_412_0, skolem_Z55(X3_412_0, X3_412_0)))
% 141.96/20.46  
% 141.96/20.46  [14992] BETA_IMPLY : (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [15080] ~big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  	-> [15081] big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [15081] CLOSURE : big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [15080]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15173] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [15173] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [15261] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), Z5_5) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), Z5_5))) => ((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [15261] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), Z5_5) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), Z5_5))) => ((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [15262] ~((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))) => ((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))) => (big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))))
% 141.96/20.46  
% 141.96/20.46  [15262] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))) => ((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))) => (big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))))
% 141.96/20.46  	-> [15263] (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))), ~((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))) => (big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))))
% 141.96/20.46  
% 141.96/20.46  [15263] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))) => (big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))))
% 141.96/20.46  	-> [15264] (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))), ~(big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  
% 141.96/20.46  [15264] BETA_IMPLY : (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) => (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))))
% 141.96/20.46  	-> [15265] ~big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  	-> [15266] (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) <=> big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  
% 141.96/20.46  [15266] BETA_EQUIV : (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))))
% 141.96/20.46  	-> [15267] ~big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [15268] big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  
% 141.96/20.46  [15268] CLOSURE : big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [15284] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [15544] ~big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [15545] big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), ~big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [15545] CLOSURE : big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [15544] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [15265] BETA_EQUIV : (big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))))
% 141.96/20.46  	-> [16318] ~big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [16319] big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), (big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  
% 141.96/20.46  [16319] CLOSURE : big_f(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [16318] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))) => big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [16320] big_f(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [16320] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))))
% 141.96/20.46  	-> [16323] ~big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  	-> [16324] big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), ~big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [16324] CLOSURE : big_g(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)))
% 141.96/20.46  
% 141.96/20.46  [16323] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))), skolem_Z55(skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0)), skolem_Z55(X3_375_0, skolem_Z55(X3_375_0, X3_375_0))))
% 141.96/20.46  
% 141.96/20.46  [14598]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14628] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14628] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14677] ~! [Z5_5] :  (((big_f(Y4_381_0, Y4_381_0) => (big_f(Y4_381_0, Z5_5) <=> big_g(Y4_381_0, Z5_5))) => ((big_f(Y4_381_0, Y4_381_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_381_0, Y4_381_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14677] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_381_0, Y4_381_0) => (big_f(Y4_381_0, Z5_5) <=> big_g(Y4_381_0, Z5_5))) => ((big_f(Y4_381_0, Y4_381_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_381_0, Y4_381_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14678] ~((big_f(Y4_381_0, Y4_381_0) => (big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)) <=> big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)))) => ((big_f(Y4_381_0, Y4_381_0) <=> (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))) => (big_g(Y4_381_0, Y4_381_0) <=> big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))))
% 141.96/20.46  
% 141.96/20.46  [14678] ALPHA_NOT_IMPLY : ~((big_f(Y4_381_0, Y4_381_0) => (big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)) <=> big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)))) => ((big_f(Y4_381_0, Y4_381_0) <=> (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))) => (big_g(Y4_381_0, Y4_381_0) <=> big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))))
% 141.96/20.46  	-> [14679] (big_f(Y4_381_0, Y4_381_0) => (big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)) <=> big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)))), ~((big_f(Y4_381_0, Y4_381_0) <=> (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))) => (big_g(Y4_381_0, Y4_381_0) <=> big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))))
% 141.96/20.46  
% 141.96/20.46  [14679] ALPHA_NOT_IMPLY : ~((big_f(Y4_381_0, Y4_381_0) <=> (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))) => (big_g(Y4_381_0, Y4_381_0) <=> big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))))
% 141.96/20.46  	-> [14684] (big_f(Y4_381_0, Y4_381_0) <=> (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))), ~(big_g(Y4_381_0, Y4_381_0) <=> big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  
% 141.96/20.46  [14684] BETA_IMPLY : (big_f(Y4_381_0, Y4_381_0) => (big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)) <=> big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0))))
% 141.96/20.46  	-> [14687] ~big_f(Y4_381_0, Y4_381_0)
% 141.96/20.46  	-> [14688] (big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)) <=> big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  
% 141.96/20.46  [14687] CLOSURE : ~big_f(Y4_381_0, Y4_381_0)
% 141.96/20.46  
% 141.96/20.46  [14688] BETA_EQUIV : (big_f(Y4_381_0, Y4_381_0) <=> (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))))
% 141.96/20.46  	-> [14695] ~big_f(Y4_381_0, Y4_381_0), ~(big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  	-> [14696] big_f(Y4_381_0, Y4_381_0), (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  
% 141.96/20.46  [14695] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  	-> [14748] big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)), ~big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  
% 141.96/20.46  [14748] CLOSURE : ~(big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  
% 141.96/20.46  [14696] BETA_NOT_EQUIV : ~(big_g(Y4_381_0, Y4_381_0) <=> big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  	-> [14778] ~big_g(Y4_381_0, Y4_381_0), big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  	-> [14779] big_g(Y4_381_0, Y4_381_0), ~big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  
% 141.96/20.46  [14779] CLOSURE : big_g(Y4_381_0, Y4_381_0)
% 141.96/20.46  
% 141.96/20.46  [14778] BETA_EQUIV : (big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)) <=> big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  	-> [14801] ~big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)), ~big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  	-> [14802] big_f(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0)), big_g(Y4_381_0, skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  
% 141.96/20.46  [14801] BETA_IMPLY : (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  	-> [14835] ~big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  	-> [14836] big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  
% 141.96/20.46  [14836]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14854] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14854] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14855] ~! [Z5_5] :  (((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) => (big_f(X3_395_0, Z5_5) <=> big_g(skolem_Z55(X3_395_0, X3_395_0), Z5_5))) => ((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14855] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) => (big_f(X3_395_0, Z5_5) <=> big_g(skolem_Z55(X3_395_0, X3_395_0), Z5_5))) => ((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14857] ~((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) => (big_f(X3_395_0, skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) <=> big_g(skolem_Z55(X3_395_0, X3_395_0), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))) => ((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))) => (big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))))
% 141.96/20.46  
% 141.96/20.46  [14857] ALPHA_NOT_IMPLY : ~((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) => (big_f(X3_395_0, skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) <=> big_g(skolem_Z55(X3_395_0, X3_395_0), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))) => ((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))) => (big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))))
% 141.96/20.46  	-> [14860] (big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) => (big_f(X3_395_0, skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) <=> big_g(skolem_Z55(X3_395_0, X3_395_0), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))), ~((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))) => (big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))))
% 141.96/20.46  
% 141.96/20.46  [14860] ALPHA_NOT_IMPLY : ~((big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))) => (big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))))
% 141.96/20.46  	-> [14861] (big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))), ~(big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  
% 141.96/20.46  [14861] BETA_IMPLY : (big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) => (big_f(X3_395_0, skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) <=> big_g(skolem_Z55(X3_395_0, X3_395_0), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))))
% 141.96/20.46  	-> [14862] ~big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))
% 141.96/20.46  	-> [14863] (big_f(X3_395_0, skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) <=> big_g(skolem_Z55(X3_395_0, X3_395_0), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  
% 141.96/20.46  [14863] BETA_EQUIV : (big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))))
% 141.96/20.46  	-> [14866] ~big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), ~(big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  	-> [14867] big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  
% 141.96/20.46  [14867] CLOSURE : big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))
% 141.96/20.46  
% 141.96/20.46  [14916] BETA_NOT_EQUIV : ~(big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  	-> [15526] ~big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))
% 141.96/20.46  	-> [15527] big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), ~big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))
% 141.96/20.46  
% 141.96/20.46  [15527] CLOSURE : big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))
% 141.96/20.46  
% 141.96/20.46  [15526] CLOSURE : big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))
% 141.96/20.46  
% 141.96/20.46  [14862] BETA_EQUIV : (big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))))
% 141.96/20.46  	-> [15652] ~big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), ~(big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  	-> [15653] big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), (big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  
% 141.96/20.46  [15653] CLOSURE : big_f(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))
% 141.96/20.46  
% 141.96/20.46  [15652] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))) => big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  	-> [15666] big_f(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))), ~big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))
% 141.96/20.46  
% 141.96/20.46  [15666] BETA_NOT_EQUIV : ~(big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)) <=> big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))))
% 141.96/20.46  	-> [15671] ~big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))
% 141.96/20.46  	-> [15672] big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), ~big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))
% 141.96/20.46  
% 141.96/20.46  [15672] CLOSURE : big_g(X3_395_0, skolem_Z55(X3_395_0, X3_395_0))
% 141.96/20.46  
% 141.96/20.46  [15671] CLOSURE : big_g(skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)), skolem_Z55(X3_395_0, skolem_Z55(X3_395_0, X3_395_0)))
% 141.96/20.46  
% 141.96/20.46  [14835]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14869] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14869] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14870] ~! [Z5_5] :  (((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) => (big_f(X3_396_0, Z5_5) <=> big_g(skolem_Z55(X3_396_0, X3_396_0), Z5_5))) => ((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14870] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) => (big_f(X3_396_0, Z5_5) <=> big_g(skolem_Z55(X3_396_0, X3_396_0), Z5_5))) => ((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14871] ~((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) => (big_f(X3_396_0, skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) <=> big_g(skolem_Z55(X3_396_0, X3_396_0), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))) => ((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))) => (big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))))
% 141.96/20.46  
% 141.96/20.46  [14871] ALPHA_NOT_IMPLY : ~((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) => (big_f(X3_396_0, skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) <=> big_g(skolem_Z55(X3_396_0, X3_396_0), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))) => ((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))) => (big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))))
% 141.96/20.46  	-> [14872] (big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) => (big_f(X3_396_0, skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) <=> big_g(skolem_Z55(X3_396_0, X3_396_0), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))), ~((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))) => (big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))))
% 141.96/20.46  
% 141.96/20.46  [14872] ALPHA_NOT_IMPLY : ~((big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))) => (big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))))
% 141.96/20.46  	-> [14875] (big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))), ~(big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  
% 141.96/20.46  [14875] BETA_IMPLY : (big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) => (big_f(X3_396_0, skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) <=> big_g(skolem_Z55(X3_396_0, X3_396_0), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))))
% 141.96/20.46  	-> [14878] ~big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))
% 141.96/20.46  	-> [14879] (big_f(X3_396_0, skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) <=> big_g(skolem_Z55(X3_396_0, X3_396_0), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  
% 141.96/20.46  [14879] BETA_EQUIV : (big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))))
% 141.96/20.46  	-> [14884] ~big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), ~(big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  	-> [14885] big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  
% 141.96/20.46  [14885] CLOSURE : big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))
% 141.96/20.46  
% 141.96/20.46  [14919] BETA_NOT_EQUIV : ~(big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  	-> [15282] ~big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))
% 141.96/20.46  	-> [15283] big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), ~big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))
% 141.96/20.46  
% 141.96/20.46  [15283] CLOSURE : big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))
% 141.96/20.46  
% 141.96/20.46  [15282] CLOSURE : big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))
% 141.96/20.46  
% 141.96/20.46  [14878] BETA_EQUIV : (big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))))
% 141.96/20.46  	-> [15990] ~big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), ~(big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  	-> [15991] big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), (big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  
% 141.96/20.46  [15991] CLOSURE : big_f(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))
% 141.96/20.46  
% 141.96/20.46  [15990] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))) => big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  	-> [15998] big_f(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))), ~big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))
% 141.96/20.46  
% 141.96/20.46  [15998] BETA_NOT_EQUIV : ~(big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)) <=> big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))))
% 141.96/20.46  	-> [16005] ~big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))
% 141.96/20.46  	-> [16006] big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), ~big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))
% 141.96/20.46  
% 141.96/20.46  [16006] CLOSURE : big_g(X3_396_0, skolem_Z55(X3_396_0, X3_396_0))
% 141.96/20.46  
% 141.96/20.46  [16005] CLOSURE : big_g(skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)), skolem_Z55(X3_396_0, skolem_Z55(X3_396_0, X3_396_0)))
% 141.96/20.46  
% 141.96/20.46  [14802] BETA_IMPLY : (big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)) => big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0)))
% 141.96/20.46  	-> [14849] ~big_f(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  	-> [14850] big_g(skolem_Z55(Y4_381_0, Y4_381_0), skolem_Z55(Y4_381_0, Y4_381_0))
% 141.96/20.46  
% 141.96/20.46  [14849]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14900] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14900] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14901] ~! [Z5_5] :  (((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) => (big_f(X3_398_0, Z5_5) <=> big_g(skolem_Z55(X3_398_0, X3_398_0), Z5_5))) => ((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14901] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) => (big_f(X3_398_0, Z5_5) <=> big_g(skolem_Z55(X3_398_0, X3_398_0), Z5_5))) => ((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14902] ~((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) => (big_f(X3_398_0, skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) <=> big_g(skolem_Z55(X3_398_0, X3_398_0), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))) => ((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))) => (big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))))
% 141.96/20.46  
% 141.96/20.46  [14902] ALPHA_NOT_IMPLY : ~((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) => (big_f(X3_398_0, skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) <=> big_g(skolem_Z55(X3_398_0, X3_398_0), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))) => ((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))) => (big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))))
% 141.96/20.46  	-> [14904] (big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) => (big_f(X3_398_0, skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) <=> big_g(skolem_Z55(X3_398_0, X3_398_0), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))), ~((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))) => (big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))))
% 141.96/20.46  
% 141.96/20.46  [14904] ALPHA_NOT_IMPLY : ~((big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))) => (big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))))
% 141.96/20.46  	-> [14905] (big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))), ~(big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  
% 141.96/20.46  [14905] BETA_IMPLY : (big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) => (big_f(X3_398_0, skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) <=> big_g(skolem_Z55(X3_398_0, X3_398_0), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))))
% 141.96/20.46  	-> [14906] ~big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))
% 141.96/20.46  	-> [14907] (big_f(X3_398_0, skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) <=> big_g(skolem_Z55(X3_398_0, X3_398_0), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  
% 141.96/20.46  [14907] BETA_EQUIV : (big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))))
% 141.96/20.46  	-> [14914] ~big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), ~(big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  	-> [14915] big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  
% 141.96/20.46  [14915] CLOSURE : big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))
% 141.96/20.46  
% 141.96/20.46  [14979] BETA_NOT_EQUIV : ~(big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  	-> [15180] ~big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))
% 141.96/20.46  	-> [15181] big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), ~big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))
% 141.96/20.46  
% 141.96/20.46  [15181] CLOSURE : big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))
% 141.96/20.46  
% 141.96/20.46  [15180] CLOSURE : big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))
% 141.96/20.46  
% 141.96/20.46  [14906] BETA_EQUIV : (big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))))
% 141.96/20.46  	-> [15552] ~big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), ~(big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  	-> [15553] big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), (big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  
% 141.96/20.46  [15553] CLOSURE : big_f(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))
% 141.96/20.46  
% 141.96/20.46  [15552] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))) => big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  	-> [15567] big_f(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))), ~big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))
% 141.96/20.46  
% 141.96/20.46  [15567] BETA_NOT_EQUIV : ~(big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)) <=> big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))))
% 141.96/20.46  	-> [15587] ~big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))
% 141.96/20.46  	-> [15588] big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), ~big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))
% 141.96/20.46  
% 141.96/20.46  [15588] CLOSURE : big_g(X3_398_0, skolem_Z55(X3_398_0, X3_398_0))
% 141.96/20.46  
% 141.96/20.46  [15587] CLOSURE : big_g(skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)), skolem_Z55(X3_398_0, skolem_Z55(X3_398_0, X3_398_0)))
% 141.96/20.46  
% 141.96/20.46  [14850]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14886] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14886] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14887] ~! [Z5_5] :  (((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) => (big_f(X3_397_0, Z5_5) <=> big_g(skolem_Z55(X3_397_0, X3_397_0), Z5_5))) => ((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14887] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) => (big_f(X3_397_0, Z5_5) <=> big_g(skolem_Z55(X3_397_0, X3_397_0), Z5_5))) => ((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14888] ~((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) => (big_f(X3_397_0, skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) <=> big_g(skolem_Z55(X3_397_0, X3_397_0), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))) => ((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))) => (big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))))
% 141.96/20.46  
% 141.96/20.46  [14888] ALPHA_NOT_IMPLY : ~((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) => (big_f(X3_397_0, skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) <=> big_g(skolem_Z55(X3_397_0, X3_397_0), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))) => ((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))) => (big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))))
% 141.96/20.46  	-> [14889] (big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) => (big_f(X3_397_0, skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) <=> big_g(skolem_Z55(X3_397_0, X3_397_0), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))), ~((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))) => (big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))))
% 141.96/20.46  
% 141.96/20.46  [14889] ALPHA_NOT_IMPLY : ~((big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))) => (big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))))
% 141.96/20.46  	-> [14890] (big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))), ~(big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  
% 141.96/20.46  [14890] BETA_IMPLY : (big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) => (big_f(X3_397_0, skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) <=> big_g(skolem_Z55(X3_397_0, X3_397_0), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))))
% 141.96/20.46  	-> [14892] ~big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))
% 141.96/20.46  	-> [14893] (big_f(X3_397_0, skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) <=> big_g(skolem_Z55(X3_397_0, X3_397_0), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  
% 141.96/20.46  [14893] BETA_EQUIV : (big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))))
% 141.96/20.46  	-> [14896] ~big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), ~(big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  	-> [14897] big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  
% 141.96/20.46  [14897] CLOSURE : big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))
% 141.96/20.46  
% 141.96/20.46  [14956] BETA_NOT_EQUIV : ~(big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  	-> [16387] ~big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))
% 141.96/20.46  	-> [16388] big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), ~big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))
% 141.96/20.46  
% 141.96/20.46  [16388] CLOSURE : big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))
% 141.96/20.46  
% 141.96/20.46  [16387] CLOSURE : big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))
% 141.96/20.46  
% 141.96/20.46  [14892] BETA_EQUIV : (big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))))
% 141.96/20.46  	-> [16497] ~big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), ~(big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  	-> [16498] big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), (big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  
% 141.96/20.46  [16498] CLOSURE : big_f(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))
% 141.96/20.46  
% 141.96/20.46  [16497] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))) => big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  	-> [16501] big_f(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))), ~big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))
% 141.96/20.46  
% 141.96/20.46  [16501] BETA_NOT_EQUIV : ~(big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)) <=> big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))))
% 141.96/20.46  	-> [16502] ~big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))
% 141.96/20.46  	-> [16503] big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), ~big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))
% 141.96/20.46  
% 141.96/20.46  [16503] CLOSURE : big_g(X3_397_0, skolem_Z55(X3_397_0, X3_397_0))
% 141.96/20.46  
% 141.96/20.46  [16502] CLOSURE : big_g(skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)), skolem_Z55(X3_397_0, skolem_Z55(X3_397_0, X3_397_0)))
% 141.96/20.46  
% 141.96/20.46  [14589] BETA_IMPLY : (big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)) => big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0)))
% 141.96/20.46  	-> [14594] ~big_f(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  	-> [14595] big_g(skolem_Z55(Y4_369_0, Y4_369_0), skolem_Z55(Y4_369_0, Y4_369_0))
% 141.96/20.46  
% 141.96/20.46  [14595]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14613] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14613] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14616] ~! [Z5_5] :  (((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) => (big_f(X3_376_0, Z5_5) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), Z5_5))) => ((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14616] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) => (big_f(X3_376_0, Z5_5) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), Z5_5))) => ((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14619] ~((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) => (big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))) => ((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))) => (big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.46  
% 141.96/20.46  [14619] ALPHA_NOT_IMPLY : ~((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) => (big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))) => ((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))) => (big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.46  	-> [14622] (big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) => (big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))), ~((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))) => (big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.46  
% 141.96/20.46  [14622] ALPHA_NOT_IMPLY : ~((big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))) => (big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.46  	-> [14631] (big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))), ~(big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  
% 141.96/20.46  [14631] BETA_IMPLY : (big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) => (big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.46  	-> [14636] ~big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))
% 141.96/20.46  	-> [14637] (big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  
% 141.96/20.46  [14636] CLOSURE : ~big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))
% 141.96/20.46  
% 141.96/20.46  [14637] BETA_EQUIV : (big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.46  	-> [14653] ~big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), ~(big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  	-> [14654] big_f(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  
% 141.96/20.46  [14653] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  	-> [14704] big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  
% 141.96/20.46  [14704] CLOSURE : ~(big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  
% 141.96/20.46  [14654] BETA_NOT_EQUIV : ~(big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  	-> [14675] ~big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  	-> [14676] big_g(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), ~big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  
% 141.96/20.46  [14675] CLOSURE : big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  
% 141.96/20.46  [14676] BETA_EQUIV : (big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  	-> [14876] ~big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  	-> [14877] big_f(X3_376_0, skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), big_g(skolem_Z55(X3_376_0, X3_376_0), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  
% 141.96/20.46  [14877] BETA_IMPLY : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.46  	-> [14898] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  	-> [14899] big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  
% 141.96/20.46  [14899] CLOSURE : big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.46  
% 141.96/20.46  [14898]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14923] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  
% 141.96/20.46  [14923] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.46  	-> [14924] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  
% 141.96/20.46  [14924] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.46  	-> [14927] ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))))
% 141.96/20.46  
% 141.96/20.46  [14927] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))))
% 141.96/20.47  	-> [14928] (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))), ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  
% 141.96/20.47  [14928] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [14931] (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))), ~(big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [14931] BETA_IMPLY : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [14945] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  	-> [14946] (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [14946] BETA_EQUIV : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [14957] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [14958] big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [14958] CLOSURE : big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [14989] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [15514] ~big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  	-> [15515] big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [15515] CLOSURE : big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [15514] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [14945] BETA_EQUIV : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [16289] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [16290] big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [16290] CLOSURE : big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [16289] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [16301] big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [16301] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [16310] ~big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  	-> [16311] big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [16311] CLOSURE : big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [16310] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [14876] BETA_IMPLY : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  	-> [14912] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  	-> [14913] big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [14913] CLOSURE : big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [14912]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14932] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [14932] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14933] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [14933] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), Z5_5))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [14934] ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))))
% 141.96/20.47  
% 141.96/20.47  [14934] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => ((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))))
% 141.96/20.47  	-> [14935] (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))), ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  
% 141.96/20.47  [14935] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))) => (big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [14936] (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))), ~(big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [14936] BETA_IMPLY : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) => (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [14940] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  	-> [14941] (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) <=> big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [14941] BETA_EQUIV : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [14952] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [14953] big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [14953] CLOSURE : big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [14986] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [16308] ~big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  	-> [16309] big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [16309] CLOSURE : big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [16308] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [14940] BETA_EQUIV : (big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))))
% 141.96/20.47  	-> [16458] ~big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [16459] big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), (big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  
% 141.96/20.47  [16459] CLOSURE : big_f(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [16458] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))) => big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [16470] big_f(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [16470] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))))
% 141.96/20.47  	-> [16476] ~big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  	-> [16477] big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), ~big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [16477] CLOSURE : big_g(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)))
% 141.96/20.47  
% 141.96/20.47  [16476] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))), skolem_Z55(skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0)), skolem_Z55(X3_376_0, skolem_Z55(X3_376_0, X3_376_0))))
% 141.96/20.47  
% 141.96/20.47  [14594]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14642] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [14642] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14650] ~! [Z5_5] :  (((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) => (big_f(X3_380_0, Z5_5) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), Z5_5))) => ((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [14650] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) => (big_f(X3_380_0, Z5_5) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), Z5_5))) => ((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [14656] ~((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) => (big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))) => ((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))) => (big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  
% 141.96/20.47  [14656] ALPHA_NOT_IMPLY : ~((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) => (big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))) => ((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))) => (big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [14659] (big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) => (big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))), ~((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))) => (big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [14659] ALPHA_NOT_IMPLY : ~((big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))) => (big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [14664] (big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))), ~(big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [14664] BETA_IMPLY : (big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) => (big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [14667] ~big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))
% 141.96/20.47  	-> [14668] (big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [14667] CLOSURE : ~big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))
% 141.96/20.47  
% 141.96/20.47  [14668] BETA_EQUIV : (big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [14673] ~big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), ~(big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [14674] big_f(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [14673] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [14712] big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [14712] CLOSURE : ~(big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [14674] BETA_NOT_EQUIV : ~(big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [14937] ~big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  	-> [14938] big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), ~big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [14937] CLOSURE : ~big_g(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))
% 141.96/20.47  
% 141.96/20.47  [14938] BETA_EQUIV : (big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [14967] ~big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  	-> [14968] big_f(X3_380_0, skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), big_g(skolem_Z55(X3_380_0, X3_380_0), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [14968] BETA_IMPLY : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [14987] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  	-> [14988] big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [14988] CLOSURE : big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [14987]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15005] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [15005] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15006] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [15006] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [15007] ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))))
% 141.96/20.47  
% 141.96/20.47  [15007] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))))
% 141.96/20.47  	-> [15008] (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))), ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  
% 141.96/20.47  [15008] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [15011] (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))), ~(big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [15011] BETA_IMPLY : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [15012] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  	-> [15013] (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [15013] BETA_EQUIV : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [15022] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [15023] big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [15023] CLOSURE : big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [15067] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [15546] ~big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [15547] big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [15547] CLOSURE : big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [15546] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [15012] BETA_EQUIV : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [16261] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [16262] big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [16262] CLOSURE : big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [16261] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [16286] big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [16286] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [16296] ~big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [16297] big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [16297] CLOSURE : big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [16296] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [14967] BETA_IMPLY : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [14995] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  	-> [14996] big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [14996] CLOSURE : big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [14995]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15036] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [15036] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15037] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [15037] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), Z5_5))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [15040] ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))))
% 141.96/20.47  
% 141.96/20.47  [15040] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => ((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))))
% 141.96/20.47  	-> [15045] (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))), ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  
% 141.96/20.47  [15045] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))) => (big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [15046] (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))), ~(big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [15046] BETA_IMPLY : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) => (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [15047] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  	-> [15048] (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) <=> big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [15048] BETA_EQUIV : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [15051] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [15052] big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [15052] CLOSURE : big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [15138] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [16506] ~big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [16507] big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [16507] CLOSURE : big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [16506] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [15047] BETA_EQUIV : (big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))))
% 141.96/20.47  	-> [16573] ~big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [16574] big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), (big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  
% 141.96/20.47  [16574] CLOSURE : big_f(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [16573] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))) => big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [16579] big_f(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [16579] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))))
% 141.96/20.47  	-> [16589] ~big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  	-> [16590] big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), ~big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [16590] CLOSURE : big_g(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)))
% 141.96/20.47  
% 141.96/20.47  [16589] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))), skolem_Z55(skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0)), skolem_Z55(X3_380_0, skolem_Z55(X3_380_0, X3_380_0))))
% 141.96/20.47  
% 141.96/20.47  [14516]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14531] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [14531] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14535] ~! [Z5_5] :  (((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) => (big_f(X3_372_0, Z5_5) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), Z5_5))) => ((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [14535] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) => (big_f(X3_372_0, Z5_5) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), Z5_5))) => ((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [14539] ~((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) => (big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))) => ((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))) => (big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))))
% 141.96/20.47  
% 141.96/20.47  [14539] ALPHA_NOT_IMPLY : ~((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) => (big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))) => ((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))) => (big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))))
% 141.96/20.47  	-> [14545] (big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) => (big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))), ~((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))) => (big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))))
% 141.96/20.47  
% 141.96/20.47  [14545] ALPHA_NOT_IMPLY : ~((big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))) => (big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))))
% 141.96/20.47  	-> [14554] (big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))), ~(big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  
% 141.96/20.47  [14554] BETA_IMPLY : (big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) => (big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))))
% 141.96/20.47  	-> [14560] ~big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))
% 141.96/20.47  	-> [14561] (big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  
% 141.96/20.47  [14560] CLOSURE : ~big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))
% 141.96/20.47  
% 141.96/20.47  [14561] BETA_EQUIV : (big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))))
% 141.96/20.47  	-> [14574] ~big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), ~(big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  	-> [14575] big_f(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  
% 141.96/20.47  [14574] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  	-> [14585] big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))), ~big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  
% 141.96/20.47  [14585] CLOSURE : ~(big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  
% 141.96/20.47  [14575] BETA_NOT_EQUIV : ~(big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)) <=> big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  	-> [14604] ~big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  	-> [14605] big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), ~big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  
% 141.96/20.47  [14604] CLOSURE : ~big_g(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))
% 141.96/20.47  
% 141.96/20.47  [14605] BETA_EQUIV : (big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) <=> big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  	-> [14623] ~big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))), ~big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  	-> [14624] big_f(X3_372_0, skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))), big_g(skolem_Z55(X3_372_0, X3_372_0), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  
% 141.96/20.47  [14623] BETA_IMPLY : (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  	-> [14665] ~big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  	-> [14666] big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  
% 141.96/20.47  [14666] CLOSURE : big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  
% 141.96/20.47  [14665]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14731] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [14731] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14735] ~! [Z5_5] :  (((big_f(Y4_386_0, Y4_386_0) => (big_f(Y4_386_0, Z5_5) <=> big_g(Y4_386_0, Z5_5))) => ((big_f(Y4_386_0, Y4_386_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_386_0, Y4_386_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [14735] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(Y4_386_0, Y4_386_0) => (big_f(Y4_386_0, Z5_5) <=> big_g(Y4_386_0, Z5_5))) => ((big_f(Y4_386_0, Y4_386_0) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(Y4_386_0, Y4_386_0) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [14736] ~((big_f(Y4_386_0, Y4_386_0) => (big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)) <=> big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => ((big_f(Y4_386_0, Y4_386_0) <=> (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))) => (big_g(Y4_386_0, Y4_386_0) <=> big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [14736] ALPHA_NOT_IMPLY : ~((big_f(Y4_386_0, Y4_386_0) => (big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)) <=> big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => ((big_f(Y4_386_0, Y4_386_0) <=> (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))) => (big_g(Y4_386_0, Y4_386_0) <=> big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [14737] (big_f(Y4_386_0, Y4_386_0) => (big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)) <=> big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))), ~((big_f(Y4_386_0, Y4_386_0) <=> (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))) => (big_g(Y4_386_0, Y4_386_0) <=> big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [14737] ALPHA_NOT_IMPLY : ~((big_f(Y4_386_0, Y4_386_0) <=> (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))) => (big_g(Y4_386_0, Y4_386_0) <=> big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  	-> [14743] (big_f(Y4_386_0, Y4_386_0) <=> (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))), ~(big_g(Y4_386_0, Y4_386_0) <=> big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [14743] BETA_IMPLY : (big_f(Y4_386_0, Y4_386_0) => (big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)) <=> big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  	-> [14751] ~big_f(Y4_386_0, Y4_386_0)
% 141.96/20.47  	-> [14752] (big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)) <=> big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [14751] CLOSURE : ~big_f(Y4_386_0, Y4_386_0)
% 141.96/20.47  
% 141.96/20.47  [14752] BETA_EQUIV : (big_f(Y4_386_0, Y4_386_0) <=> (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  	-> [14757] ~big_f(Y4_386_0, Y4_386_0), ~(big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [14758] big_f(Y4_386_0, Y4_386_0), (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [14757] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [14798] big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)), ~big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  
% 141.96/20.47  [14798] CLOSURE : ~(big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [14758] BETA_NOT_EQUIV : ~(big_g(Y4_386_0, Y4_386_0) <=> big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [14949] ~big_g(Y4_386_0, Y4_386_0), big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  	-> [14950] big_g(Y4_386_0, Y4_386_0), ~big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  
% 141.96/20.47  [14950] CLOSURE : big_g(Y4_386_0, Y4_386_0)
% 141.96/20.47  
% 141.96/20.47  [14949] BETA_EQUIV : (big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)) <=> big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [15014] ~big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), ~big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  	-> [15015] big_f(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), big_g(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  
% 141.96/20.47  [15014] BETA_IMPLY : (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [15032] ~big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  	-> [15033] big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  
% 141.96/20.47  [15032]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15069] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [15069] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15070] ~! [Z5_5] :  (((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) => (big_f(X3_410_0, Z5_5) <=> big_g(skolem_Z55(X3_410_0, X3_410_0), Z5_5))) => ((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [15070] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) => (big_f(X3_410_0, Z5_5) <=> big_g(skolem_Z55(X3_410_0, X3_410_0), Z5_5))) => ((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [15073] ~((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) => (big_f(X3_410_0, skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) <=> big_g(skolem_Z55(X3_410_0, X3_410_0), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))) => ((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))) => (big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))))
% 141.96/20.47  
% 141.96/20.47  [15073] ALPHA_NOT_IMPLY : ~((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) => (big_f(X3_410_0, skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) <=> big_g(skolem_Z55(X3_410_0, X3_410_0), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))) => ((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))) => (big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))))
% 141.96/20.47  	-> [15074] (big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) => (big_f(X3_410_0, skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) <=> big_g(skolem_Z55(X3_410_0, X3_410_0), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))), ~((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))) => (big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))))
% 141.96/20.47  
% 141.96/20.47  [15074] ALPHA_NOT_IMPLY : ~((big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))) => (big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))))
% 141.96/20.47  	-> [15077] (big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))), ~(big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  
% 141.96/20.47  [15077] BETA_IMPLY : (big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) => (big_f(X3_410_0, skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) <=> big_g(skolem_Z55(X3_410_0, X3_410_0), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))))
% 141.96/20.47  	-> [15078] ~big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))
% 141.96/20.47  	-> [15079] (big_f(X3_410_0, skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) <=> big_g(skolem_Z55(X3_410_0, X3_410_0), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  
% 141.96/20.47  [15079] BETA_EQUIV : (big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))))
% 141.96/20.47  	-> [15082] ~big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), ~(big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  	-> [15083] big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  
% 141.96/20.47  [15083] CLOSURE : big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))
% 141.96/20.47  
% 141.96/20.47  [15177] BETA_NOT_EQUIV : ~(big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  	-> [15201] ~big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))
% 141.96/20.47  	-> [15202] big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), ~big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))
% 141.96/20.47  
% 141.96/20.47  [15202] CLOSURE : big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))
% 141.96/20.47  
% 141.96/20.47  [15201] CLOSURE : big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))
% 141.96/20.47  
% 141.96/20.47  [15078] BETA_EQUIV : (big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))))
% 141.96/20.47  	-> [15238] ~big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), ~(big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  	-> [15239] big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), (big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  
% 141.96/20.47  [15239] CLOSURE : big_f(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))
% 141.96/20.47  
% 141.96/20.47  [15238] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))) => big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  	-> [15243] big_f(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))), ~big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))
% 141.96/20.47  
% 141.96/20.47  [15243] BETA_NOT_EQUIV : ~(big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)) <=> big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))))
% 141.96/20.47  	-> [15245] ~big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))
% 141.96/20.47  	-> [15246] big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), ~big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))
% 141.96/20.47  
% 141.96/20.47  [15246] CLOSURE : big_g(X3_410_0, skolem_Z55(X3_410_0, X3_410_0))
% 141.96/20.47  
% 141.96/20.47  [15245] CLOSURE : big_g(skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)), skolem_Z55(X3_410_0, skolem_Z55(X3_410_0, X3_410_0)))
% 141.96/20.47  
% 141.96/20.47  [15033]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15086] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [15086] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15087] ~! [Z5_5] :  (((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) => (big_f(X3_411_0, Z5_5) <=> big_g(skolem_Z55(X3_411_0, X3_411_0), Z5_5))) => ((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [15087] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) => (big_f(X3_411_0, Z5_5) <=> big_g(skolem_Z55(X3_411_0, X3_411_0), Z5_5))) => ((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [15088] ~((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) => (big_f(X3_411_0, skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) <=> big_g(skolem_Z55(X3_411_0, X3_411_0), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))) => ((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))) => (big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))))
% 141.96/20.47  
% 141.96/20.47  [15088] ALPHA_NOT_IMPLY : ~((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) => (big_f(X3_411_0, skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) <=> big_g(skolem_Z55(X3_411_0, X3_411_0), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))) => ((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))) => (big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))))
% 141.96/20.47  	-> [15089] (big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) => (big_f(X3_411_0, skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) <=> big_g(skolem_Z55(X3_411_0, X3_411_0), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))), ~((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))) => (big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))))
% 141.96/20.47  
% 141.96/20.47  [15089] ALPHA_NOT_IMPLY : ~((big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))) => (big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))))
% 141.96/20.47  	-> [15093] (big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))), ~(big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  
% 141.96/20.47  [15093] BETA_IMPLY : (big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) => (big_f(X3_411_0, skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) <=> big_g(skolem_Z55(X3_411_0, X3_411_0), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))))
% 141.96/20.47  	-> [15096] ~big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))
% 141.96/20.47  	-> [15097] (big_f(X3_411_0, skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) <=> big_g(skolem_Z55(X3_411_0, X3_411_0), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  
% 141.96/20.47  [15097] BETA_EQUIV : (big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))))
% 141.96/20.47  	-> [15108] ~big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), ~(big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  	-> [15109] big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  
% 141.96/20.47  [15109] CLOSURE : big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))
% 141.96/20.47  
% 141.96/20.47  [15240] BETA_NOT_EQUIV : ~(big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  	-> [15538] ~big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))
% 141.96/20.47  	-> [15539] big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), ~big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))
% 141.96/20.47  
% 141.96/20.47  [15539] CLOSURE : big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))
% 141.96/20.47  
% 141.96/20.47  [15538] CLOSURE : big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))
% 141.96/20.47  
% 141.96/20.47  [15096] BETA_EQUIV : (big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))))
% 141.96/20.47  	-> [16180] ~big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), ~(big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  	-> [16181] big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), (big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  
% 141.96/20.47  [16181] CLOSURE : big_f(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))
% 141.96/20.47  
% 141.96/20.47  [16180] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))) => big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  	-> [16200] big_f(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))), ~big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))
% 141.96/20.47  
% 141.96/20.47  [16200] BETA_NOT_EQUIV : ~(big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)) <=> big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))))
% 141.96/20.47  	-> [16207] ~big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))
% 141.96/20.47  	-> [16208] big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), ~big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))
% 141.96/20.47  
% 141.96/20.47  [16208] CLOSURE : big_g(X3_411_0, skolem_Z55(X3_411_0, X3_411_0))
% 141.96/20.47  
% 141.96/20.47  [16207] CLOSURE : big_g(skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)), skolem_Z55(X3_411_0, skolem_Z55(X3_411_0, X3_411_0)))
% 141.96/20.47  
% 141.96/20.47  [15015] BETA_IMPLY : (big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)) => big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [15026] ~big_f(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  	-> [15027] big_g(skolem_Z55(Y4_386_0, Y4_386_0), skolem_Z55(Y4_386_0, Y4_386_0))
% 141.96/20.47  
% 141.96/20.47  [15027]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15049] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [15049] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15050] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [15050] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [15053] ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))))
% 141.96/20.47  
% 141.96/20.47  [15053] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))))
% 141.96/20.47  	-> [15057] (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))), ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  
% 141.96/20.47  [15057] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [15058] (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))), ~(big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [15058] BETA_IMPLY : (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [15062] ~big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [15063] (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [15063] BETA_EQUIV : (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [15105] ~big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [15106] big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [15106] CLOSURE : big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [15139] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [16174] ~big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  	-> [16175] big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [16175] CLOSURE : big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [16174] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [15062] BETA_EQUIV : (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [16339] ~big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [16340] big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [16340] CLOSURE : big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [16339] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [16442] big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [16442] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [16450] ~big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  	-> [16451] big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [16450] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [16451] CLOSURE : big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [15026]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15060] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [15060] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [15064] ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [15064] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), Z5_5))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [15123] ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))))
% 141.96/20.47  
% 141.96/20.47  [15123] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => ((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))))
% 141.96/20.47  	-> [15124] (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))), ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  
% 141.96/20.47  [15124] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))) => (big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [15125] (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))), ~(big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [15125] BETA_IMPLY : (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) => (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [15126] ~big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  	-> [15127] (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) <=> big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [15127] BETA_EQUIV : (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [15134] ~big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [15135] big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [15135] CLOSURE : big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [15289] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [15992] ~big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  	-> [15993] big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [15993] CLOSURE : big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [15992] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [15126] BETA_EQUIV : (big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))))
% 141.96/20.47  	-> [16517] ~big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~(big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [16518] big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), (big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  
% 141.96/20.47  [16518] CLOSURE : big_f(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [16517] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))) => big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [16528] big_f(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))), ~big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [16528] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))) <=> big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))))
% 141.96/20.47  	-> [16543] ~big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  	-> [16544] big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), ~big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [16544] CLOSURE : big_g(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)))
% 141.96/20.47  
% 141.96/20.47  [16543] CLOSURE : big_g(skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))), skolem_Z55(skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0)), skolem_Z55(Y4_386_0, skolem_Z55(Y4_386_0, Y4_386_0))))
% 141.96/20.47  
% 141.96/20.47  [14624] BETA_IMPLY : (big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))) => big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0))))
% 141.96/20.47  	-> [14660] ~big_f(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  	-> [14661] big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  
% 141.96/20.47  [14661] CLOSURE : big_g(skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)), skolem_Z55(X3_372_0, skolem_Z55(X3_372_0, X3_372_0)))
% 141.96/20.47  
% 141.96/20.47  [14660]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14682] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [14682] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [14685] ~! [Z5_5] :  (((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) => (big_f(X3_382_0, Z5_5) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), Z5_5))) => ((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [14685] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) => (big_f(X3_382_0, Z5_5) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), Z5_5))) => ((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [14690] ~((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) => (big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))) => ((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))) => (big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  
% 141.96/20.47  [14690] ALPHA_NOT_IMPLY : ~((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) => (big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))) => ((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))) => (big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [14691] (big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) => (big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))), ~((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))) => (big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [14691] ALPHA_NOT_IMPLY : ~((big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))) => (big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [14693] (big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))), ~(big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [14693] BETA_IMPLY : (big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) => (big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [14697] ~big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))
% 141.96/20.47  	-> [14698] (big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [14697] CLOSURE : ~big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))
% 141.96/20.47  
% 141.96/20.47  [14698] BETA_EQUIV : (big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16620] ~big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), ~(big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16621] big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16620] CLOSURE : ~big_f(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))
% 141.96/20.47  
% 141.96/20.47  [16621] BETA_NOT_EQUIV : ~(big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16622] ~big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  	-> [16623] big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), ~big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16622] CLOSURE : ~big_g(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))
% 141.96/20.47  
% 141.96/20.47  [16623] BETA_EQUIV : (big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16624] ~big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  	-> [16625] big_f(X3_382_0, skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), big_g(skolem_Z55(X3_382_0, X3_382_0), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16625] BETA_IMPLY : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16628] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  	-> [16629] big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16629] CLOSURE : big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16628]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [16631] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [16631] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [16633] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [16633] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [16635] ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))))
% 141.96/20.47  
% 141.96/20.47  [16635] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))))
% 141.96/20.47  	-> [16637] (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))), ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  
% 141.96/20.47  [16637] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16639] (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))), ~(big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16639] BETA_IMPLY : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16642] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  	-> [16643] (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16643] BETA_EQUIV : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16646] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16647] big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16647] CLOSURE : big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16649] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16660] ~big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16661] big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16661] CLOSURE : big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16660] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16642] BETA_EQUIV : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16728] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16729] big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16729] CLOSURE : big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16728] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16739] big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16739] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16741] ~big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16742] big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16742] CLOSURE : big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16741] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16624] BETA_IMPLY : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16626] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  	-> [16627] big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16627] CLOSURE : big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16626]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [16630] ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  
% 141.96/20.47  [16630] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  (((big_f(X3_3, Y4_4) => (big_f(X3_3, Z5_5) <=> big_g(Y4_4, Z5_5))) => ((big_f(X3_3, Y4_4) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(X3_3, Y4_4) <=> big_g(Z5_5, Z5_5))))))
% 141.96/20.47  	-> [16632] ~! [Z5_5] :  (((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  
% 141.96/20.47  [16632] DELTA_NOT_FORALL : ~! [Z5_5] :  (((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), Z5_5))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(Z5_5, Z5_5) => big_g(Z5_5, Z5_5))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(Z5_5, Z5_5)))))
% 141.96/20.47  	-> [16634] ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))))
% 141.96/20.47  
% 141.96/20.47  [16634] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => ((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))))
% 141.96/20.47  	-> [16636] (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))), ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  
% 141.96/20.47  [16636] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))) => (big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16638] (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))), ~(big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16638] BETA_IMPLY : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) => (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16640] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  	-> [16641] (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) <=> big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16641] BETA_EQUIV : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16644] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16645] big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16645] CLOSURE : big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16648] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16735] ~big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16736] big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16736] CLOSURE : big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16735] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16640] BETA_EQUIV : (big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))))
% 141.96/20.47  	-> [16798] ~big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~(big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16799] big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), (big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  
% 141.96/20.47  [16799] CLOSURE : big_f(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  [16798] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))) => big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16800] big_f(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))), ~big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16800] BETA_NOT_EQUIV : ~(big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))) <=> big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))))
% 141.96/20.47  	-> [16803] ~big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  	-> [16804] big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), ~big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16803] CLOSURE : big_g(skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))), skolem_Z55(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0))))
% 141.96/20.47  
% 141.96/20.47  [16804] CLOSURE : big_g(skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)), skolem_Z55(X3_382_0, skolem_Z55(X3_382_0, X3_382_0)))
% 141.96/20.47  
% 141.96/20.47  % SZS output end Proof for theBenchmark.p
% 141.96/20.47  [20.116387s][1][Res] 319742 goroutines created
% 141.96/20.47  ==== Result ====
% 141.96/20.47  [20.116441s][1][Res] VALID
% 141.96/20.47  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------