TSTP Solution File: SYN326+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 22:22:58 EDT 2022
% Result : Theorem 3.25s 1.41s
% Output : Proof 3.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 02:55:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 2
% 0.12/0.34 Launch Gotab with destructive = true
% 0.19/0.41 nb_step : 2 - limit : 4
% 0.19/0.41 Launch Gotab with destructive = true
% 3.25/1.38 % SZS output start Proof for theBenchmark.p
% 3.25/1.41 [65] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [66] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Z55(X3_20_0)))) => (((big_f(Z5_5, skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(Z5_5)) => (big_f(skolem_Y44(skolem_Z55(X3_20_0)), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [66] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Z55(X3_20_0)))) => (((big_f(Z5_5, skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(Z5_5)) => (big_f(skolem_Y44(skolem_Z55(X3_20_0)), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [67] ~(((big_f(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Z55(X3_20_0)))) => (((big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [67] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Z55(X3_20_0)))) => (((big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [68] ((big_f(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Z55(X3_20_0)))), ~(((big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [68] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [69] ((big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~(big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [69] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [70] big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))), ~big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [70] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [71] ~(big_f(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [72] big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Y44(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [71] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [73] big_f(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), ~(big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [73] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [76] big_g(skolem_Y44(skolem_Y44(skolem_Z55(X3_20_0)))), ~big_h(skolem_Y44(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [76] BETA_IMPLY : ((big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [82] ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [83] big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [83] : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [93] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [93] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [95] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [95] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [97] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [97] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [99] ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [99] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [101] ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [101] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [103] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [103] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [111] ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [112] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [112] CLOSURE : big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [111] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [113] big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [113] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [116] big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [116] CLOSURE : ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [82] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [88] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))), ~big_g(skolem_Y44(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [88] ALPHA_NOT_IMPLY : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [94] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [94] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [96] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [96] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [98] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [98] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [100] ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [100] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [102] ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [102] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [104] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [104] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [108] ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [109] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [109] CLOSURE : big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [115] BETA_IMPLY : ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [132] ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [133] big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [133] : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [137] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [137] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [140] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [140] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [143] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41
% 3.25/1.41 [143] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41 -> [148] ((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [148] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [150] ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [150] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [152] big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [152] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [158] ~(big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [159] big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [159] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [158] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [160] big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [160] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [162] big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [162] CLOSURE : ~big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [132] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [134] big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), ~big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [134] ALPHA_NOT_IMPLY : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [135] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [135] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [136] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))) => (((big_f(Z5_5, skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(Z5_5)) => (big_f(skolem_Z55(X3_20_0), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [136] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))) => (((big_f(Z5_5, skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(Z5_5)) => (big_f(skolem_Z55(X3_20_0), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [138] ~(((big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))) => (big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))) => (((big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(skolem_Z55(X3_20_0)))) => (big_f(skolem_Z55(X3_20_0), skolem_Y44(skolem_Z55(X3_20_0))) => big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [138] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))) => (big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))) => (((big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(skolem_Z55(X3_20_0)))) => (big_f(skolem_Z55(X3_20_0), skolem_Y44(skolem_Z55(X3_20_0))) => big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [139] ((big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))) => (big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))), ~(((big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(skolem_Z55(X3_20_0)))) => (big_f(skolem_Z55(X3_20_0), skolem_Y44(skolem_Z55(X3_20_0))) => big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [139] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(skolem_Z55(X3_20_0)))) => (big_f(skolem_Z55(X3_20_0), skolem_Y44(skolem_Z55(X3_20_0))) => big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [141] ((big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(skolem_Z55(X3_20_0)))), ~(big_f(skolem_Z55(X3_20_0), skolem_Y44(skolem_Z55(X3_20_0))) => big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [141] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_20_0), skolem_Y44(skolem_Z55(X3_20_0))) => big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [142] big_f(skolem_Z55(X3_20_0), skolem_Y44(skolem_Z55(X3_20_0))), ~big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [142] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))) => (big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0)))) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0)))
% 3.25/1.41 -> [155] ~(big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))) => (big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [156] big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))
% 3.25/1.41
% 3.25/1.41 [155] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))) => (big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [157] big_f(skolem_Y44(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))), ~(big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [157] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(X3_20_0)))
% 3.25/1.41 -> [161] big_g(skolem_Y44(skolem_Z55(X3_20_0))), ~big_h(skolem_Z55(X3_20_0))
% 3.25/1.41
% 3.25/1.41 [161] CLOSURE : big_g(skolem_Y44(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [156] BETA_IMPLY : ((big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0))) => big_h(skolem_Z55(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [273] ~(big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0)))
% 3.25/1.41 -> [274] big_h(skolem_Z55(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [273] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)) => big_g(skolem_Z55(X3_20_0)))
% 3.25/1.41 -> [275] big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(X3_20_0)), ~big_g(skolem_Z55(X3_20_0))
% 3.25/1.41
% 3.25/1.41 [275] ALPHA_NOT_IMPLY : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [281] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [281] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [285] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_20_0))) => big_f(X3_20_0, X3_20_0)) => (((big_f(Z5_5, X3_20_0) => big_g(X3_20_0)) => big_h(Z5_5)) => (big_f(X3_20_0, Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [285] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_20_0))) => big_f(X3_20_0, X3_20_0)) => (((big_f(Z5_5, X3_20_0) => big_g(X3_20_0)) => big_h(Z5_5)) => (big_f(X3_20_0, Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [289] ~(((big_f(skolem_Y44(X3_20_0), skolem_Z55(X3_20_0)) => (big_g(skolem_Y44(X3_20_0)) => big_h(X3_20_0))) => big_f(X3_20_0, X3_20_0)) => (((big_f(skolem_Z55(X3_20_0), X3_20_0) => big_g(X3_20_0)) => big_h(skolem_Z55(X3_20_0))) => (big_f(X3_20_0, skolem_Y44(X3_20_0)) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [289] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(X3_20_0), skolem_Z55(X3_20_0)) => (big_g(skolem_Y44(X3_20_0)) => big_h(X3_20_0))) => big_f(X3_20_0, X3_20_0)) => (((big_f(skolem_Z55(X3_20_0), X3_20_0) => big_g(X3_20_0)) => big_h(skolem_Z55(X3_20_0))) => (big_f(X3_20_0, skolem_Y44(X3_20_0)) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [293] ((big_f(skolem_Y44(X3_20_0), skolem_Z55(X3_20_0)) => (big_g(skolem_Y44(X3_20_0)) => big_h(X3_20_0))) => big_f(X3_20_0, X3_20_0)), ~(((big_f(skolem_Z55(X3_20_0), X3_20_0) => big_g(X3_20_0)) => big_h(skolem_Z55(X3_20_0))) => (big_f(X3_20_0, skolem_Y44(X3_20_0)) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [293] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(X3_20_0), X3_20_0) => big_g(X3_20_0)) => big_h(skolem_Z55(X3_20_0))) => (big_f(X3_20_0, skolem_Y44(X3_20_0)) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [297] ((big_f(skolem_Z55(X3_20_0), X3_20_0) => big_g(X3_20_0)) => big_h(skolem_Z55(X3_20_0))), ~(big_f(X3_20_0, skolem_Y44(X3_20_0)) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [297] ALPHA_NOT_IMPLY : ~(big_f(X3_20_0, skolem_Y44(X3_20_0)) => big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0)))
% 3.25/1.41 -> [299] big_f(X3_20_0, skolem_Y44(X3_20_0)), ~big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))
% 3.25/1.41
% 3.25/1.41 [299] CLOSURE : ~big_f(skolem_Z55(X3_20_0), skolem_Z55(X3_20_0))
% 3.25/1.41
% 3.25/1.41 [298] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [339] ~(big_f(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [340] big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [340] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_20_0)), skolem_Z55(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [339] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_20_0)))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [343] big_f(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_20_0)))), ~(big_g(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [343] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [344] big_g(skolem_Y44(skolem_Z55(skolem_Z55(X3_20_0)))), ~big_h(skolem_Z55(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [344] CLOSURE : ~big_h(skolem_Z55(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [72] BETA_IMPLY : ((big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0)))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [423] ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [424] big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [424] : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [426] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [426] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [428] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [428] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [430] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [430] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [432] ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [432] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [434] ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [434] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [436] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [436] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [440] ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [441] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [441] CLOSURE : big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [440] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [443] big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [443] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [445] big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [445] CLOSURE : ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [423] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))) => big_g(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41 -> [425] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(X3_20_0))), ~big_g(skolem_Y44(skolem_Z55(X3_20_0)))
% 3.25/1.41
% 3.25/1.41 [425] ALPHA_NOT_IMPLY : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [427] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [427] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [429] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [429] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [431] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [431] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [433] ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [433] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [435] ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [435] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [437] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [437] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [438] ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [439] big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [439] CLOSURE : big_f(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [444] BETA_IMPLY : ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [495] ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [496] big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [496] : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [498] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [498] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [499] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [499] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(Z5_5, skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [501] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41
% 3.25/1.41 [501] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41 -> [503] ((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [503] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [505] ((big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [505] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [507] big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [507] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [510] ~(big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [511] big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [511] CLOSURE : big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [510] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [514] big_f(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [514] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [516] big_g(skolem_Y44(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [516] CLOSURE : ~big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [495] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41 -> [497] big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), ~big_g(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))
% 3.25/1.41
% 3.25/1.41 [497] ALPHA_NOT_IMPLY : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [500] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [500] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [502] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(Z5_5, skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(Z5_5)) => (big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [502] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(Z5_5, skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(Z5_5)) => (big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [504] ~(((big_f(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41
% 3.25/1.41 [504] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (((big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41 -> [506] ((big_f(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(((big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [506] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [508] ((big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [508] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [509] big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [509] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [512] ~(big_f(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [513] big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [512] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => (big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [515] big_f(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~(big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [515] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [517] big_g(skolem_Y44(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), ~big_h(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [517] BETA_IMPLY : ((big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [518] ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [519] big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [518] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [520] big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [520] CLOSURE : ~big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [519] : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [521] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [521] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [522] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [522] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [523] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))))
% 3.25/1.41
% 3.25/1.41 [523] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))))
% 3.25/1.41 -> [524] ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41
% 3.25/1.41 [524] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41 -> [525] ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))), ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [525] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [526] big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [526] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [527] ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [528] big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [528] CLOSURE : big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [527] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [529] big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [529] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [530] big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [530] CLOSURE : ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [513] BETA_IMPLY : ((big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [557] ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [558] big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [557] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))) => big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41 -> [559] big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), ~big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [559] CLOSURE : ~big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))
% 3.25/1.41
% 3.25/1.41 [558] : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [560] ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41
% 3.25/1.41 [560] GAMMA_NOT_EXISTS : ~? [X3_3] : (! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(X3_3))) => big_f(X3_3, X3_3)) => (((big_f(Z5_5, X3_3) => big_g(X3_3)) => big_h(Z5_5)) => (big_f(X3_3, Y4_4) => big_f(Z5_5, Z5_5))))))
% 3.25/1.41 -> [561] ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41
% 3.25/1.41 [561] DELTA_NOT_FORALL : ~! [Y4_4, Z5_5] : ((((big_f(Y4_4, Z5_5) => (big_g(Y4_4) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(Z5_5, skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(Z5_5)) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), Y4_4) => big_f(Z5_5, Z5_5)))))
% 3.25/1.41 -> [562] ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))))
% 3.25/1.41
% 3.25/1.41 [562] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))))
% 3.25/1.41 -> [563] ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41
% 3.25/1.41 [563] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => (big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))))
% 3.25/1.41 -> [564] ((big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))) => big_g(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))), ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41
% 3.25/1.41 [564] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [565] big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~big_f(skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [565] BETA_IMPLY : ((big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))) => big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [566] ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [567] big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [567] CLOSURE : big_f(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))), skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [566] ALPHA_NOT_IMPLY : ~(big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => (big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))))
% 3.25/1.41 -> [568] big_f(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))), skolem_Z55(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41
% 3.25/1.41 [568] ALPHA_NOT_IMPLY : ~(big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))) => big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0)))))))
% 3.25/1.41 -> [569] big_g(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))), ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 [569] CLOSURE : ~big_h(skolem_Z55(skolem_Y44(skolem_Z55(skolem_Y44(skolem_Z55(X3_20_0))))))
% 3.25/1.41
% 3.25/1.41 % SZS output end Proof for theBenchmark.p
% 3.25/1.41 [1.062347s][1][Res] 5411 goroutines created
% 3.25/1.41 ==== Result ====
% 3.25/1.41 [1.062386s][1][Res] VALID
% 3.25/1.41 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------