TSTP Solution File: SYN345+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 22:23:05 EDT 2022
% Result : Theorem 65.93s 15.28s
% Output : Proof 65.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 02:44:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 [DMT] DMT loaded with preskolemization
% 0.18/0.34 [EQ] equality loaded.
% 0.18/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.18/0.34 Start search
% 0.18/0.34 nb_step : 1 - limit : 3
% 0.18/0.34 Launch Gotab with destructive = true
% 1.71/0.63 nb_step : 2 - limit : 6
% 1.71/0.63 Launch Gotab with destructive = true
% 65.93/15.25 % SZS output start Proof for theBenchmark.p
% 65.93/15.28 [435] DELTA_NOT_FORALL : ~! [X15_5, X26_6] : (? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(X15_5, X26_6, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(X15_5, X15_5, X26_6) => big_f(X15_5, X26_6, X26_6))) => (((big_f(X26_6, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(X15_5, X26_6, X26_6) => big_f(X15_5, X15_5, X26_6))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(X26_6, X26_6, Y17_7) & (big_f(X15_5, X15_5, X26_6) <=> big_f(X15_5, X26_6, X26_6)))))))))
% 65.93/15.28 -> [436] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [436] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [437] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [437] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [438] ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [438] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [439] ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [439] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [440] ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [440] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [441] big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [441] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [442] ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [443] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [442] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [444] big_f(skolem_X155, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [444] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [443] BETA_IMPLY : ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [11668] ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [11669] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11668] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [11670] big_f(skolem_X266, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11670] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [11677] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11678] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11677] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11678] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [11687] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [11688] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11688] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [11694] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11695] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11695] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11694] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [11704] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [11704] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [11710] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [11710] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [11713] ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [11713] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [11715] ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [11715] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [11717] ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [11717] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11719] big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11719] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [11723] ~(big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11724] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11723] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11728] big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11728] CLOSURE : ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11724] BETA_IMPLY : ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [11829] ~(big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11830] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11829] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11835] big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11835] CLOSURE : ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11830] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [11831] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11832] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11831] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11832] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [11838] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [11839] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11839] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [11842] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11843] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11843] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11842] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11838] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [11849] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11850] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11850] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11849] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11687] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [11697] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11698] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11698] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11697] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [11706] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [11706] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [11712] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [11712] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [11714] ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [11714] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [11716] ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [11716] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [11718] ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [11718] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11720] big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11720] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [11726] ~(big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11727] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11726] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11731] big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11731] CLOSURE : ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11727] BETA_IMPLY : ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [11950] ~(big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11951] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11950] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [11956] big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11956] CLOSURE : ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [11951] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [11952] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11953] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [11952] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11953] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [11954] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [11955] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11955] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [11959] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11960] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11959] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11960] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11954] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [11957] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [11958] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11957] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11958] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [11669] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13006] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13007] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13007] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13008] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13009] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13009] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13012] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13013] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13012] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13013] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13020] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13021] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13020] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13021] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13008] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13016] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13017] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13017] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13016] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13023] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13024] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13023] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13024] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13006] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13010] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13011] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13010] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13014] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13015] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13015] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13014] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13022] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [13022] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13026] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [13026] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [13028] ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [13028] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [13030] ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [13030] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [13032] ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [13032] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13034] big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13034] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13038] ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13039] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13038] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13041] big_f(skolem_X155, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13041] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13039] BETA_IMPLY : ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [13085] ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13086] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13085] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13088] big_f(skolem_X266, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13088] CLOSURE : big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13086] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13089] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13090] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13090] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13092] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13093] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13093] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13092] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13097] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13098] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13098] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13097] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13103] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13104] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13104] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13103] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13089] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13095] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13096] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13096] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13095] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13101] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13102] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13102] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13101] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13106] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [13106] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13111] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [13111] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [13115] ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [13115] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [13116] ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [13116] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [13119] ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [13119] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13120] big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13120] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13123] ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13124] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13123] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13125] big_f(skolem_X155, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13125] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13124] BETA_IMPLY : ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [13160] ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13161] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13160] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13162] big_f(skolem_X266, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13162] CLOSURE : big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13161] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13163] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13164] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13164] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13167] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13168] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13168] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13167] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13173] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13174] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13174] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13173] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13182] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13183] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13183] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13182] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13163] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13169] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13170] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13170] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13169] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13177] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13178] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13178] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13177] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13181] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [13181] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13189] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [13189] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [13191] ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [13191] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [13193] ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [13193] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [13194] ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [13194] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13196] big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13196] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13199] ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13200] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13199] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13201] big_f(skolem_X155, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13201] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13200] BETA_IMPLY : ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [13250] ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13251] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13250] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13253] big_f(skolem_X266, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13253] CLOSURE : big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13251] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13254] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13255] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13255] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13256] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13257] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13257] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13256] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13263] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13264] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13264] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13263] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13269] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13270] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13270] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13269] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13254] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13260] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13261] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13261] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13260] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13265] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13266] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13266] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13265] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13272] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [13272] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13275] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [13275] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [13278] ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [13278] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [13281] ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [13281] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [13284] ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [13284] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13285] big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13285] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13286] ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13287] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13286] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13288] big_f(skolem_X155, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13288] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13287] BETA_IMPLY : ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [13325] ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13326] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13325] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13329] big_f(skolem_X266, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13329] CLOSURE : big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13326] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13330] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13331] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13331] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13334] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13335] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13335] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13334] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13338] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13339] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13339] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13338] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13342] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13343] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13343] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13342] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13330] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13336] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13337] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13337] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13336] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13340] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13341] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13341] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13340] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13344] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [13344] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13345] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [13345] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [13346] ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [13346] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [13347] ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [13347] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [13348] ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [13348] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13349] big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13349] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13350] ~(big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13351] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13351] BETA_IMPLY : ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [13353] ~(big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13354] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13354] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13356] ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28 -> [13357] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13356] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13357] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13358] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13359] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13359] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13358] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13360] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13361] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13361] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13360] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13362] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13363] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13363] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13362] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13355] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13387] ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28 -> [13388] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13387] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13388] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13391] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13392] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13392] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13391] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13395] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13396] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13396] CLOSURE : big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13395] CLOSURE : big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13352] CLOSURE : ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13011] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13018] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13019] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13018] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13019] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13025] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [13025] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13027] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [13027] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [13029] ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [13029] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [13031] ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [13031] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [13033] ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [13033] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => (big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13035] big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13035] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13036] ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13037] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13036] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13040] big_f(skolem_X155, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13040] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13037] BETA_IMPLY : ((big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [13414] ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13415] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13414] ALPHA_NOT_IMPLY : ~(big_f(skolem_X266, skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13418] big_f(skolem_X266, skolem_X266, skolem_X266), ~big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13418] CLOSURE : big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13415] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_X266) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13425] ~big_f(skolem_X266, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13426] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13426] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13427] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13428] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13427] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13428] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13429] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13430] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13429] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13430] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13431] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13432] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13431] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13432] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13425] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13433] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13434] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13433] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13434] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13435] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13436] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13435] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13436] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13437] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28
% 65.93/15.28 [13437] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, Y17_7) => big_f(Y28_8, Y17_7, Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, Y17_7, Y28_8) => big_f(Y17_7, Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(Y17_7, Y28_8, Z9_9) => (big_f(skolem_X266, skolem_X266, Y17_7) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))))
% 65.93/15.28 -> [13438] ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28
% 65.93/15.28 [13438] DELTA_NOT_FORALL : ~! [Z9_9] : ((((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9)) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), Z9_9, Z9_9)) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), Z9_9) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))))
% 65.93/15.28 -> [13439] ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28
% 65.93/15.28 [13439] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))) => (((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))))
% 65.93/15.28 -> [13440] ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))), ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28
% 65.93/15.28 [13440] ALPHA_NOT_IMPLY : ~(((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))) => (big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))))
% 65.93/15.28 -> [13441] ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))), ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28
% 65.93/15.28 [13441] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13442] big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))), ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13442] BETA_IMPLY : ((big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13443] ~(big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13444] (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13443] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13445] big_f(skolem_X155, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13445] CLOSURE : ~big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))
% 65.93/15.28
% 65.93/15.28 [13444] BETA_IMPLY : ((big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)))) => (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266)))
% 65.93/15.28 -> [13512] ~(big_f(skolem_X266, skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)) => big_f(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266)), skolem_Z99(skolem_Z99(skolem_X266, skolem_X266), skolem_Z99(skolem_X266, skolem_X266))))
% 65.93/15.28 -> [13513] (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13513] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13514] ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28 -> [13515] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13514] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13515] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13517] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13518] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13517] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13518] BETA_IMPLY : (big_f(skolem_X155, skolem_X266, skolem_X266) => big_f(skolem_X155, skolem_X155, skolem_X266))
% 65.93/15.28 -> [13519] ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13520] big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13519] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13520] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13521] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13522] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13521] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13522] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13516] BETA_NOT_AND : ~(big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) & (big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266)))
% 65.93/15.28 -> [13523] ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28 -> [13524] ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13523] CLOSURE : ~big_f(skolem_X266, skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 65.93/15.28
% 65.93/15.28 [13524] BETA_IMPLY : (big_f(skolem_X155, skolem_X155, skolem_X266) => big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13525] ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28 -> [13526] big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13525] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13526] BETA_NOT_EQUIV : ~(big_f(skolem_X155, skolem_X155, skolem_X266) <=> big_f(skolem_X155, skolem_X266, skolem_X266))
% 65.93/15.28 -> [13527] ~big_f(skolem_X155, skolem_X155, skolem_X266), big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28 -> [13528] big_f(skolem_X155, skolem_X155, skolem_X266), ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13527] CLOSURE : ~big_f(skolem_X155, skolem_X155, skolem_X266)
% 65.93/15.28
% 65.93/15.28 [13528] CLOSURE : ~big_f(skolem_X155, skolem_X266, skolem_X266)
% 65.93/15.28
% 65.93/15.28 % SZS output end Proof for theBenchmark.p
% 65.93/15.28 [14.939853s][1][Res] 123485 goroutines created
% 65.93/15.28 ==== Result ====
% 65.93/15.28 [14.939895s][1][Res] VALID
% 65.93/15.28 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------