TSTP Solution File: SYN354+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN354+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n012.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 22:23:08 EDT 2022
% Result : Theorem 9.11s 1.87s
% Output : Proof 9.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN354+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n012.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 02:49:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 3
% 0.12/0.34 Launch Gotab with destructive = true
% 9.11/1.85 % SZS output start Proof for theBenchmark.p
% 9.11/1.86 [0] DELTA_NOT_FORALL : ~! [X15_5, X26_6] : (? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(X15_5, X26_6) => (big_g(X15_5, X26_6) => (((big_g(X26_6, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(X26_6, Y28_8))) => ((big_g(X26_6, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(X15_5, Y17_7) & big_f(X26_6, Y17_7)) & big_f(Y17_7, Y28_8)))))))))
% 9.11/1.86 -> [1] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [1] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [2] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [2] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))))
% 9.11/1.86 -> [3] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [3] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))))
% 9.11/1.86 -> [4] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [4] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))
% 9.11/1.86 -> [5] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [5] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))
% 9.11/1.86 -> [6] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [6] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [7] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))), ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [7] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [8] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [9] (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [8] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [10] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [11] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [11] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [16] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [17] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [16] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [22] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [23] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [23] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [22] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [17] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [34] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [35] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [34] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [35] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [10] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [20] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [21] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [20] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [26] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [27] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [27] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [26] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [21] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [36] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [37] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [37] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [36] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [9] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [812] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [813] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [812] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [816] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [817] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [816] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [820] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86 -> [821] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [821] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [832] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [833] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [833] CLOSURE : ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [832] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [820] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [830] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [831] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [830] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [831] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [838] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [838] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [842] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [842] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86 -> [845] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [845] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86 -> [848] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [848] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86 -> [852] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [852] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86 -> [870] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [870] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86 -> [871] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [871] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [880] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [881] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [880] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [896] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [897] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [896] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [914] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [915] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [914] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [924] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [925] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [925] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [924] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [915] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [897] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [932] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [933] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [932] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [934] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [935] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [934] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [935] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [933] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [881] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [966] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [967] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [966] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [974] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [975] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [975] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [974] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [980] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [981] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [980] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [981] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [967] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [978] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [979] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [979] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [978] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [982] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [983] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [982] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [983] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [817] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [824] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86 -> [825] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [825] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [824] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [837] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [837] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [841] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [841] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))))
% 9.11/1.86 -> [847] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [847] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))))
% 9.11/1.86 -> [849] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [849] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))
% 9.11/1.86 -> [855] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [855] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))
% 9.11/1.86 -> [886] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [886] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [889] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))), ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [889] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [894] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [895] (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [894] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [906] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [907] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [907] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [944] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [945] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [944] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [948] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [949] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [948] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [949] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [945] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [972] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [973] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [972] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [973] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [906] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [984] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [985] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [984] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [988] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [989] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [989] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [988] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [985] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [994] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [995] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [995] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [994] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [895] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [1025] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1026] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1026] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1041] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1042] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1042] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1049] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86 -> [1050] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1049] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1060] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [1060] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1062] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [1062] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86 -> [1069] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [1069] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86 -> [1072] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [1072] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86 -> [1091] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [1091] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86 -> [1159] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [1159] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86 -> [1162] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1162] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [1174] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1175] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1175] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1184] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1185] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1185] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1248] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1249] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1249] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1248] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1300] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1301] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1300] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1301] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1184] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1260] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1261] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1261] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1260] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1306] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1307] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1306] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1307] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1174] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1332] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1333] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1333] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1336] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1337] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1337] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1336] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1340] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1341] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1341] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1340] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1332] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1368] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1369] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1369] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1368] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1374] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1375] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1375] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1374] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1050] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1041] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1045] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86 -> [1046] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1046] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1045] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1452] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1453] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1452] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1453] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1455] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [1455] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1459] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [1459] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86 -> [1464] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [1464] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86 -> [1467] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [1467] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86 -> [1492] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [1492] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86 -> [1506] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [1506] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86 -> [1509] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1509] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [1510] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1511] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1511] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1516] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1517] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1516] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1536] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1537] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1537] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1536] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1542] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1543] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1542] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1543] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1517] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1534] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1535] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1535] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1534] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1550] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1551] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1550] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1551] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1510] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1520] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1521] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1521] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1528] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1529] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1528] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1538] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1539] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1538] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1539] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1529] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1520] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1532] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1533] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1532] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1548] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1549] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1549] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1548] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1533] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1025] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1047] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1048] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1047] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1051] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86 -> [1052] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1051] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1070] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1071] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1070] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1071] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1084] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [1084] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1086] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [1086] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86 -> [1099] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [1099] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86 -> [1108] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [1108] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86 -> [1125] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [1125] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86 -> [1145] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [1145] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86 -> [1148] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1148] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [1149] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1150] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1149] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1160] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1161] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1161] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1220] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1221] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1220] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1252] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1253] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1252] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1253] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1221] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1160] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1324] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1325] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1325] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1324] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1330] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1331] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1330] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1331] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1150] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1362] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1363] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1363] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1398] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1399] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1399] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1398] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1404] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1405] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1404] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1405] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1362] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1392] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1393] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1393] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1392] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1406] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1407] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1407] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1406] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1052] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1048] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1462] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86 -> [1463] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1463] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1462] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1470] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [1470] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [1471] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [1471] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86 -> [1476] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [1476] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86 -> [1485] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [1485] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86 -> [1501] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [1501] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86 -> [1526] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [1526] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86 -> [1527] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1527] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [1530] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1531] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [1531] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1552] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1553] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1552] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1556] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1557] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1557] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1556] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1560] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1561] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1560] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1561] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1553] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1558] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1559] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1559] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1558] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [1562] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [1563] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1563] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1562] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1530] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1604] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1605] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1605] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1611] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1612] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1612] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1611] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1615] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1616] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1615] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1616] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1604] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1608] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1609] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1609] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1608] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1613] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1614] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1613] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1614] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [813] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [814] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [815] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [814] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [818] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86 -> [819] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [819] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [826] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [827] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [826] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [827] CLOSURE : ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [818] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [828] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [829] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [828] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [829] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [835] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86
% 9.11/1.86 [835] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.86 -> [839] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86
% 9.11/1.86 [839] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.86 -> [843] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86
% 9.11/1.86 [843] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.86 -> [846] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86
% 9.11/1.86 [846] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.86 -> [851] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86
% 9.11/1.86 [851] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.86 -> [858] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86
% 9.11/1.86 [858] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.86 -> [859] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [859] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.86 -> [862] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [863] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86
% 9.11/1.86 [863] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [878] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [879] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [879] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [892] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [893] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [893] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [892] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [942] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [943] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [942] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [943] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [878] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [902] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [903] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [903] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [902] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.86 -> [954] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86 -> [955] big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [954] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [955] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [862] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1014] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1015] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1015] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1021] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1022] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1022] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1021] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1029] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1030] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1030] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1029] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.86
% 9.11/1.86 [1014] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.86 -> [1027] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.86 -> [1028] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1028] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.86
% 9.11/1.86 [1027] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.86 -> [1036] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1037] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1037] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1036] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [815] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [822] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87 -> [823] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [823] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [822] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [834] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87
% 9.11/1.87 [834] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [836] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))))
% 9.11/1.87
% 9.11/1.87 [836] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))))
% 9.11/1.87 -> [840] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))))
% 9.11/1.87
% 9.11/1.87 [840] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))))
% 9.11/1.87 -> [844] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))
% 9.11/1.87
% 9.11/1.87 [844] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))))
% 9.11/1.87 -> [850] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))
% 9.11/1.87
% 9.11/1.87 [850] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))))
% 9.11/1.87 -> [853] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))
% 9.11/1.87
% 9.11/1.87 [853] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => ((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [854] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))), ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [854] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))) => (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [856] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [857] (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [856] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [860] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87 -> [861] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [861] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [868] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [869] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [868] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [876] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87 -> [877] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [876] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [877] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [869] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [930] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87 -> [931] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [931] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [930] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [860] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [968] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [969] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [968] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [970] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87 -> [971] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [971] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [970] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [969] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [976] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87 -> [977] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [977] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [976] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [857] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [992] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87 -> [993] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [993] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [998] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [999] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [999] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1006] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87 -> [1007] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1007] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1006] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1016] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87
% 9.11/1.87 [1016] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1017] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87
% 9.11/1.87 [1017] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87 -> [1018] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87
% 9.11/1.87 [1018] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87 -> [1020] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87
% 9.11/1.87 [1020] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87 -> [1032] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87
% 9.11/1.87 [1032] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87 -> [1053] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87
% 9.11/1.87 [1053] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87 -> [1054] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1054] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [1055] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1056] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1055] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1065] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1066] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1066] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1097] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1098] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1098] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1097] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1146] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1147] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1147] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1146] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1065] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1322] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1323] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1323] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1322] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1326] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1327] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1327] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1326] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1056] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1338] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1339] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1339] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1352] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1353] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1353] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1352] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1358] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1359] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1359] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1358] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1338] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1364] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1365] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1365] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1364] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1370] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1371] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1370] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1371] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [998] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1602] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87 -> [1603] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1603] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1602] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1606] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1607] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1606] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1607] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1610] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87
% 9.11/1.87 [1610] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1617] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87
% 9.11/1.87 [1617] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87 -> [1618] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87
% 9.11/1.87 [1618] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87 -> [1619] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87
% 9.11/1.87 [1619] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87 -> [1622] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87
% 9.11/1.87 [1622] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87 -> [1624] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87
% 9.11/1.87 [1624] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87 -> [1626] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1626] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [1628] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1629] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1629] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1631] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1632] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1631] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1642] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1643] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1643] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1642] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1648] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1649] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1648] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1649] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1632] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1676] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1677] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1677] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1676] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1680] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1681] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1681] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1680] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1628] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1633] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1634] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1634] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1640] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1641] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1640] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1646] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1647] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1647] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1646] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1641] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1633] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1684] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1685] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1685] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1684] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1686] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1687] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1686] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1687] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [992] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266)) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1002] ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1003] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1002] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1004] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87 -> [1005] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1005] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1004] BETA_NOT_AND : ~(big_f(skolem_X155, skolem_X266) & big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1426] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1427] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1426] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1427] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1434] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87
% 9.11/1.87 [1434] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1439] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87
% 9.11/1.87 [1439] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87 -> [1442] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87
% 9.11/1.87 [1442] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87 -> [1445] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87
% 9.11/1.87 [1445] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87 -> [1448] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87
% 9.11/1.87 [1448] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87 -> [1456] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87
% 9.11/1.87 [1456] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87 -> [1457] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1457] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [1460] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1461] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1461] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1468] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1469] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1469] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1477] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1478] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1478] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1477] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1488] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1489] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1488] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1489] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1468] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1481] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1482] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1482] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1481] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1490] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1491] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1490] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1491] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1460] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1586] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1587] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1587] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1588] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1589] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1589] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1588] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1592] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1593] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1592] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1593] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1586] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1590] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1591] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1591] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1590] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1594] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1595] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1594] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1595] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1003] BETA_IMPLY : (big_f(skolem_X266, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1620] ~big_f(skolem_X266, skolem_X266)
% 9.11/1.87 -> [1621] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1621] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1620] : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1623] ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87
% 9.11/1.87 [1623] GAMMA_NOT_EXISTS : ~? [Y17_7, Y28_8] : (! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(Y28_8, Z9_9)) => (big_f(Y17_7, Y28_8) => big_f(skolem_X266, Y28_8))) => ((big_g(skolem_X266, Z9_9) <=> big_g(Y17_7, Z9_9)) => ((big_f(skolem_X155, Y17_7) & big_f(skolem_X266, Y17_7)) & big_f(Y17_7, Y28_8))))))))
% 9.11/1.87 -> [1625] ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87
% 9.11/1.87 [1625] DELTA_NOT_FORALL : ~! [Z9_9] : ((big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X266, Z9_9)) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, Z9_9) <=> big_g(skolem_X155, Z9_9)) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))))
% 9.11/1.87 -> [1627] ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87
% 9.11/1.87 [1627] ALPHA_NOT_IMPLY : ~(big_f(skolem_X155, skolem_X266) => (big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))))
% 9.11/1.87 -> [1630] big_f(skolem_X155, skolem_X266), ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87
% 9.11/1.87 [1630] ALPHA_NOT_IMPLY : ~(big_g(skolem_X155, skolem_X266) => (((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))))
% 9.11/1.87 -> [1637] big_g(skolem_X155, skolem_X266), ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87
% 9.11/1.87 [1637] ALPHA_NOT_IMPLY : ~(((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))) => ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))))
% 9.11/1.87 -> [1652] ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))), ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87
% 9.11/1.87 [1652] ALPHA_NOT_IMPLY : ~((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))) => ((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266)))
% 9.11/1.87 -> [1653] (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))), ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1653] BETA_IMPLY : ((big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))) => (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266)))
% 9.11/1.87 -> [1654] ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1655] (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87
% 9.11/1.87 [1655] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1656] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1657] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1657] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1660] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1661] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1661] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1660] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1662] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1663] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1663] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1662] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1656] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1666] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1667] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1667] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1666] BETA_IMPLY : (big_f(skolem_X155, skolem_X266) => big_f(skolem_X266, skolem_X266))
% 9.11/1.87 -> [1672] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87 -> [1673] big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1673] CLOSURE : big_f(skolem_X266, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1672] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1654] BETA_EQUIV : (big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1658] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1659] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X155, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1658] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1664] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1665] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1664] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1670] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1671] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1671] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1670] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1665] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1659] BETA_NOT_AND : ~((big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155)) & big_f(skolem_X155, skolem_X266))
% 9.11/1.87 -> [1688] ~(big_f(skolem_X155, skolem_X155) & big_f(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1689] ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1689] CLOSURE : ~big_f(skolem_X155, skolem_X266)
% 9.11/1.87
% 9.11/1.87 [1688] BETA_NOT_EQUIV : ~(big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)) <=> big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)))
% 9.11/1.87 -> [1690] ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87 -> [1691] big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155)), ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1691] CLOSURE : big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 [1690] CLOSURE : ~big_g(skolem_X266, skolem_Z99(skolem_X266, skolem_X155))
% 9.11/1.87
% 9.11/1.87 % SZS output end Proof for theBenchmark.p
% 9.11/1.87 [1.526464s][1][Res] 17435 goroutines created
% 9.11/1.87 ==== Result ====
% 9.11/1.87 [1.526499s][1][Res] VALID
% 9.11/1.87 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------