TSTP Solution File: SYN331+1 by Goeland---1.0.0

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n027.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 22:23:00 EDT 2022

% Result   : Theorem 4.50s 2.15s
% Output   : Proof 4.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Sep  5 02:52:52 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.35  [DMT] DMT loaded with preskolemization
% 0.21/0.35  [EQ] equality loaded.
% 0.21/0.35  [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.21/0.35  Start search
% 0.21/0.35  nb_step : 1 - limit : 2
% 0.21/0.35  Launch Gotab with destructive = true
% 1.18/1.00  nb_step : 2 - limit : 4
% 1.18/1.00  Launch Gotab with destructive = true
% 4.40/2.08  % SZS output start Proof for theBenchmark.p
% 4.50/2.15  [118] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [119] ~! [Z5_5] :  ((big_f(Y4_0_0, Z5_5) => (big_f(Y4_0_0, Z5_5) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_0_0, Y4_0_0) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, Y4_0_0) | big_f(Z5_5, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [119] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(Y4_0_0, Z5_5) => (big_f(Y4_0_0, Z5_5) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_0_0, Y4_0_0) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, Y4_0_0) | big_f(Z5_5, Y4_0_0)))))))
% 4.50/2.15  	-> [120] ~(big_f(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(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(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(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [120] 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, 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_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_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))))
% 4.50/2.15  	-> [121] big_f(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(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(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(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [121] ALPHA_NOT_IMPLY : ~(big_f(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_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_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))))
% 4.50/2.15  	-> [122] big_f(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_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_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [122] 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_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_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))
% 4.50/2.15  	-> [123] (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_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_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [123] 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_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))
% 4.50/2.15  	-> [124] (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_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [124] ALPHA_NOT_OR : ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0) | big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))
% 4.50/2.15  	-> [125] ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 4.50/2.15  
% 4.50/2.15  [125] 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)))
% 4.50/2.15  	-> [126] ~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))
% 4.50/2.15  	-> [127] 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))
% 4.50/2.15  
% 4.50/2.15  [126] BETA_OR : (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)))
% 4.50/2.15  	-> [128] big_f(Y4_0_0, Y4_0_0)
% 4.50/2.15  	-> [129] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [128] CLOSURE : big_f(Y4_0_0, Y4_0_0)
% 4.50/2.15  
% 4.50/2.15  [129] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [127] BETA_OR : (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)))
% 4.50/2.15  	-> [204] big_f(Y4_0_0, Y4_0_0)
% 4.50/2.15  	-> [205] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [204]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [206] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [206] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [208] ~! [Z5_5] :  ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) => (big_f(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_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [208] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) => (big_f(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_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [210] ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(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(Y4_0_0, Y4_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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [210] 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(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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [212] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(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(Y4_0_0, Y4_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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [212] 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(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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [214] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [214] 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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [216] (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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [216] 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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [218] (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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [218] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [219] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [219] 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))))
% 4.50/2.15  	-> [222] ~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)))
% 4.50/2.15  	-> [223] 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)))
% 4.50/2.15  
% 4.50/2.15  [222] CLOSURE : ~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)))
% 4.50/2.15  
% 4.50/2.15  [223] BETA_OR : (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))))
% 4.50/2.15  	-> [226] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  	-> [227] 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)))
% 4.50/2.15  
% 4.50/2.15  [226]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [230] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [230] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [234] ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [234] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [238] ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [238] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [244] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [244] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [248] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [248] 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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [254] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [254] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [257] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [257] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [259] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [259] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [268] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [269] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [269] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [268] BETA_OR : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [274] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [275] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [275] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [274]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [284] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [284] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [286] ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  
% 4.50/2.15  [286] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  	-> [289] ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [289] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [291] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [291] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [298] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [298] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [302] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [302] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [304] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [304] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [306] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [306] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [314] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [315] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [315] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [314] BETA_OR : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [330] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [331] big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [330] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [331] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [227]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [232] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [232] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [235] ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [235] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [239] ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [239] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [242] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [242] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [246] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [246] 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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [250] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [250] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [251] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [251] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [253] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [253] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [262] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [263] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [263] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [262] BETA_OR : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [270] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [271] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [271] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [270]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [276] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [276] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [280] ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  
% 4.50/2.15  [280] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  	-> [281] ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [281] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [283] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [283] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [290] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [290] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [295] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [295] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [297] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [297] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [299] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [299] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [307] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [308] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [308] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [307] BETA_OR : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [336] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [337] big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [336] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [337] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [205]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [207] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [207] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [209] ~! [Z5_5] :  ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) => (big_f(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_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [209] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(skolem_Z55(Y4_0_0, Y4_0_0), Z5_5) => (big_f(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_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0)) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [211] ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(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(Y4_0_0, Y4_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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [211] 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(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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [213] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(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(Y4_0_0, Y4_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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [213] 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(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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [215] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [215] 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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [217] (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_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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [217] 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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [220] (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_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [220] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [221] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [221] 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))))
% 4.50/2.15  	-> [224] ~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)))
% 4.50/2.15  	-> [225] 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)))
% 4.50/2.15  
% 4.50/2.15  [224] CLOSURE : ~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)))
% 4.50/2.15  
% 4.50/2.15  [225] BETA_OR : (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))))
% 4.50/2.15  	-> [228] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  	-> [229] 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)))
% 4.50/2.15  
% 4.50/2.15  [229]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [233] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [233] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [237] ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [237] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [241] ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [241] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [245] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [245] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [249] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [249] 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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [256] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [256] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [260] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [260] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [261] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [261] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [266] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [267] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [267] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [266] BETA_OR : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [277] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [278] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [278] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [277]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [288] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [288] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [292] ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  
% 4.50/2.15  [292] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  	-> [293] ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [293] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [296] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [296] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [303] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [303] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [309] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [309] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [312] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [312] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [313] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [313] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [316] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [317] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [317] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [316] BETA_OR : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [332] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [333] big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [332] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [333] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [228]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [231] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [231] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [236] ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [236] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(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), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, 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_f(Z5_5, skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [240] ~(big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [240] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [243] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [243] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [247] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [247] 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(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [252] (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [252] 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(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [255] (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [255] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [258] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [258] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [264] ~big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [265] big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [265] CLOSURE : big_f(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))
% 4.50/2.15  
% 4.50/2.15  [264] BETA_OR : (big_f(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [272] big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [273] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [273] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [272]  : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [279] ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  
% 4.50/2.15  [279] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  (! [Z5_5] :  ((big_f(X3_3, Z5_5) => (big_f(Y4_4, Z5_5) => ((big_f(X3_3, Y4_4) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_4, X3_3) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, X3_3) | big_f(Z5_5, Y4_4))))))))
% 4.50/2.15  	-> [282] ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  
% 4.50/2.15  [282] DELTA_NOT_FORALL : ~! [Z5_5] :  ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), Z5_5) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, Z5_5)) => (big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))))
% 4.50/2.15  	-> [285] ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  
% 4.50/2.15  [285] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))))
% 4.50/2.15  	-> [287] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  
% 4.50/2.15  [287] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))))
% 4.50/2.15  	-> [294] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  
% 4.50/2.15  [294] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))))
% 4.50/2.15  	-> [300] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), 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(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  
% 4.50/2.15  [300] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [301] (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [301] ALPHA_NOT_OR : ~(big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [305] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [305] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [310] ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  	-> [311] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [311] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [310] BETA_OR : (big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))) | big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))))
% 4.50/2.15  	-> [338] big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  	-> [339] big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  [338] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)))
% 4.50/2.15  
% 4.50/2.15  [339] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)), skolem_Z55(Y4_0_0, Y4_0_0))))
% 4.50/2.15  
% 4.50/2.15  % SZS output end Proof for theBenchmark.p
% 4.50/2.15  [1.796499s][1][Res] 3586 goroutines created
% 4.50/2.15  ==== Result ====
% 4.50/2.15  [1.796539s][1][Res] VALID
% 4.50/2.15  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------