TSTP Solution File: SYN332+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 22:23:00 EDT 2022
% Result : Theorem 7.04s 2.36s
% Output : Proof 7.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 02:55:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000050s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.36 nb_step : 1 - limit : 2
% 0.13/0.36 Launch Gotab with destructive = true
% 3.20/1.16 nb_step : 2 - limit : 4
% 3.20/1.16 Launch Gotab with destructive = true
% 6.86/2.30 % SZS output start Proof for theBenchmark.p
% 7.04/2.35 [772] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.35 -> [773] ~! [Z5_5] : (((((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, Z5_5)) | (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, Z5_5))) => ((big_f(Y4_0_0, Z5_5) <=> big_f(Z5_5, Y4_0_0)) => ((big_f(Y4_0_0, Z5_5) <=> big_f(Y4_0_0, Z5_5)) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, Y4_0_0)))))))
% 7.04/2.35
% 7.04/2.35 [773] DELTA_NOT_FORALL : ~! [Z5_5] : (((((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, Z5_5)) | (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, Z5_5))) => ((big_f(Y4_0_0, Z5_5) <=> big_f(Z5_5, Y4_0_0)) => ((big_f(Y4_0_0, Z5_5) <=> big_f(Y4_0_0, Z5_5)) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, Z5_5)) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(Z5_5, Y4_0_0)))))))
% 7.04/2.35 -> [774] ~((((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) | (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))))
% 7.04/2.35
% 7.04/2.35 [774] ALPHA_NOT_IMPLY : ~((((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) | (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))))
% 7.04/2.35 -> [775] (((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) | (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))), ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))))
% 7.04/2.35
% 7.04/2.35 [775] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)) => ((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))))
% 7.04/2.35 -> [776] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)), ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))
% 7.04/2.35
% 7.04/2.35 [776] ALPHA_NOT_IMPLY : ~((big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) => (((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))))
% 7.04/2.35 -> [777] (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))), ~(((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))
% 7.04/2.35
% 7.04/2.35 [777] ALPHA_NOT_IMPLY : ~(((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))) => ((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)))
% 7.04/2.35 -> [778] ((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))), ~((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [778] BETA_OR : (((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))) | (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))))
% 7.04/2.35 -> [779] ((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35 -> [780] (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35
% 7.04/2.35 [780] ALPHA_AND : (~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35 -> [782] ~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)), big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [782] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))
% 7.04/2.35 -> [784] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35 -> [785] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [784] CLOSURE : ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [785] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35 -> [788] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [789] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [788] CLOSURE : ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [789] BETA_EQUIV : ((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35 -> [792] ~(big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)), ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [793] (big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)), big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [792] ALPHA_NOT_IMPLY : ~(big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [798] big_f(Y4_0_0, Y4_0_0), ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [798] CLOSURE : ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [793] BETA_NOT_EQUIV : ~((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))
% 7.04/2.35 -> [796] ~(big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)), big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35 -> [797] (big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)), ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [797] CLOSURE : ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [796] BETA_NOT_AND : ~(big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [802] ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35 -> [803] ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [802] BETA_IMPLY : (big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [804] ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35 -> [805] big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [805] CLOSURE : big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [804] BETA_NOT_EQUIV : ~(big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [810] ~big_f(Y4_0_0, Y4_0_0), big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35 -> [811] big_f(Y4_0_0, Y4_0_0), ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [811] CLOSURE : big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [810] CLOSURE : big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [803] BETA_IMPLY : (big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [808] ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35 -> [809] big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [809] CLOSURE : big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [808] BETA_NOT_EQUIV : ~(big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [814] ~big_f(Y4_0_0, Y4_0_0), big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35 -> [815] big_f(Y4_0_0, Y4_0_0), ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [814] CLOSURE : big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [815] CLOSURE : ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [779] ALPHA_AND : ((big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)) & ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35 -> [781] (big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0)), ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [781] ALPHA_AND : (big_f(Y4_0_0, Y4_0_0) & big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [783] big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [783] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))
% 7.04/2.35 -> [786] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35 -> [787] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)), big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [787] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [786] BETA_EQUIV : (big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)) <=> big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35 -> [790] ~big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [791] big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [791] CLOSURE : big_f(Y4_0_0, skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [790] BETA_EQUIV : ((big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0)))
% 7.04/2.35 -> [794] ~(big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)), ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [795] (big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0)), big_f(skolem_Z55(Y4_0_0, Y4_0_0), skolem_Z55(Y4_0_0, Y4_0_0))
% 7.04/2.35
% 7.04/2.35 [794] ALPHA_NOT_IMPLY : ~(big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [799] big_f(Y4_0_0, Y4_0_0), ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [799] CLOSURE : ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [795] BETA_NOT_EQUIV : ~((big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)) <=> big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0))
% 7.04/2.35 -> [800] ~(big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)), big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35 -> [801] (big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0)), ~big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [800] CLOSURE : big_f(skolem_Z55(Y4_0_0, Y4_0_0), Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [801] BETA_IMPLY : (big_f(Y4_0_0, Y4_0_0) => big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [806] ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35 -> [807] big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [806] CLOSURE : ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [807] BETA_EQUIV : (big_f(Y4_0_0, Y4_0_0) <=> big_f(Y4_0_0, Y4_0_0))
% 7.04/2.35 -> [812] ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35 -> [813] big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [812] CLOSURE : ~big_f(Y4_0_0, Y4_0_0)
% 7.04/2.35
% 7.04/2.35 [813] : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.35 -> [816] ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.35
% 7.04/2.35 [816] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.35 -> [817] ~! [Z5_5] : (((((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, Z5_5)) | (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, Z5_5))) => ((big_f(X3_1_0, Z5_5) <=> big_f(Z5_5, X3_1_0)) => ((big_f(X3_1_0, Z5_5) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), Z5_5)) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(Z5_5, skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.35
% 7.04/2.35 [817] DELTA_NOT_FORALL : ~! [Z5_5] : (((((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, Z5_5)) | (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, Z5_5))) => ((big_f(X3_1_0, Z5_5) <=> big_f(Z5_5, X3_1_0)) => ((big_f(X3_1_0, Z5_5) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), Z5_5)) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(Z5_5, skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.35 -> [818] ~((((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0)) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.35
% 7.04/2.35 [818] ALPHA_NOT_IMPLY : ~((((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0)) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.35 -> [819] (((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))), ~((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0)) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.35
% 7.04/2.35 [819] ALPHA_NOT_IMPLY : ~((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0)) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.35 -> [820] (big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0)), ~((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.35
% 7.04/2.35 [820] ALPHA_NOT_IMPLY : ~((big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.35 -> [821] (big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~(((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.35
% 7.04/2.35 [821] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.35 -> [822] ((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.35
% 7.04/2.35 [822] BETA_OR : (((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.35 -> [823] ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.35 -> [824] (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.35
% 7.04/2.35 [823] ALPHA_AND : ((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.35 -> [825] (big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)), ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.35
% 7.04/2.35 [825] ALPHA_AND : (big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0))
% 7.04/2.35 -> [827] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.35
% 7.04/2.35 [827] CLOSURE : big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.35
% 7.04/2.35 [824] ALPHA_AND : (~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) & big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.35 -> [826] ~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)), big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.35
% 7.04/2.35 [826] BETA_EQUIV : (big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0))
% 7.04/2.35 -> [828] ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0)
% 7.04/2.35 -> [829] big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), X3_1_0)
% 7.04/2.35
% 7.04/2.35 [828] CLOSURE : ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [829] BETA_EQUIV : (big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [830] ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [831] big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [830] CLOSURE : ~big_f(X3_1_0, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [831] BETA_EQUIV : ((big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [832] ~(big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [833] (big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [832] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [834] big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0), ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [834] CLOSURE : ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [833] BETA_NOT_EQUIV : ~((big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)) <=> big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [839] ~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)), big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [840] (big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)), ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [839] BETA_NOT_AND : ~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0))
% 7.04/2.36 -> [841] ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [842] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [841] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [845] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [846] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [846] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [845] BETA_NOT_EQUIV : ~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0))
% 7.04/2.36 -> [853] ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [854] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [854] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [853] CLOSURE : big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [842] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [849] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [850] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [850] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [849] BETA_NOT_EQUIV : ~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0))
% 7.04/2.36 -> [857] ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [858] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [857] CLOSURE : big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [858] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [840] BETA_NOT_AND : ~(big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0))
% 7.04/2.36 -> [843] ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [844] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [844] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [851] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [852] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [852] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [851] BETA_EQUIV : (big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0))
% 7.04/2.36 -> [859] ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [860] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [860] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [859] : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [862] ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36
% 7.04/2.36 [862] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [864] ~! [Z5_5] : (((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), Z5_5)) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36
% 7.04/2.36 [864] DELTA_NOT_FORALL : ~! [Z5_5] : (((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), Z5_5)) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36 -> [866] ~((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36
% 7.04/2.36 [866] ALPHA_NOT_IMPLY : ~((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36 -> [868] (((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))), ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36
% 7.04/2.36 [868] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36 -> [870] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36
% 7.04/2.36 [870] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [872] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~(((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [872] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [874] ((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [874] BETA_OR : (((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [877] ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [878] (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [877] ALPHA_AND : ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [880] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [880] ALPHA_AND : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [884] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [884] CLOSURE : big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [882] BETA_EQUIV : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [915] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [916] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [915] CLOSURE : ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [916] BETA_EQUIV : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [919] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [920] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [919] CLOSURE : ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [920] BETA_EQUIV : ((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [926] ~(big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [927] (big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [927] BETA_NOT_EQUIV : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [937] ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [938] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [938] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [949] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [950] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [950] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [949] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [958] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [959] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [958] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [959] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [937] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [951] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [952] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [952] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [951] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [961] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [962] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [961] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [962] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [926] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [936] big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [936] BETA_NOT_EQUIV : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [943] ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [944] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [944] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [956] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [957] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [957] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [956] BETA_EQUIV : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [968] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [969] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [968] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [969] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [943] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [953] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [954] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [954] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [953] BETA_NOT_EQUIV : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [964] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [965] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [965] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [964] : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [971] ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36
% 7.04/2.36 [971] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [975] ~! [Z5_5] : (((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))))
% 7.04/2.36
% 7.04/2.36 [975] DELTA_NOT_FORALL : ~! [Z5_5] : (((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))))
% 7.04/2.36 -> [976] ~((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36
% 7.04/2.36 [976] ALPHA_NOT_IMPLY : ~((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36 -> [978] (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))), ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36
% 7.04/2.36 [978] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36 -> [981] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36
% 7.04/2.36 [981] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36 -> [982] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))), ~(((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36
% 7.04/2.36 [982] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [985] ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))), ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [985] BETA_OR : (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36 -> [986] ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [987] (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36
% 7.04/2.36 [986] ALPHA_AND : ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [988] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [988] ALPHA_AND : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [992] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [992] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [989] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1083] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1084] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1083] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1084] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [1089] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1090] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1089] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1090] BETA_EQUIV : ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [1091] ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1092] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1091] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1095] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1095] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1092] BETA_NOT_EQUIV : ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1096] ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1097] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1097] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1096] BETA_NOT_AND : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1102] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1103] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1102] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1109] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1110] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1110] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1109] BETA_NOT_EQUIV : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1118] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1119] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1118] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1119] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1103] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1113] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1114] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1114] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1113] BETA_NOT_EQUIV : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1122] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1123] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1123] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1122] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [843] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0) => big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [847] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [848] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [848] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [847] BETA_EQUIV : (big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0))
% 7.04/2.36 -> [855] ~big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36 -> [856] big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), X3_1_0)
% 7.04/2.36
% 7.04/2.36 [856] CLOSURE : big_f(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [855] : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [861] ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36
% 7.04/2.36 [861] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [863] ~! [Z5_5] : (((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), Z5_5)) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36
% 7.04/2.36 [863] DELTA_NOT_FORALL : ~! [Z5_5] : (((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), Z5_5)) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36 -> [865] ~((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36
% 7.04/2.36 [865] ALPHA_NOT_IMPLY : ~((((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36 -> [867] (((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))), ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36
% 7.04/2.36 [867] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36 -> [869] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36
% 7.04/2.36 [869] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => (((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [871] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~(((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [871] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [873] ((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [873] BETA_OR : (((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) | (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [875] ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [876] (~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [875] ALPHA_AND : ((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [879] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [879] ALPHA_AND : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [883] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [883] CLOSURE : big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [881] BETA_EQUIV : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [911] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [912] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [911] CLOSURE : ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [912] BETA_EQUIV : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [913] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [914] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [913] CLOSURE : ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [914] BETA_EQUIV : ((big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [917] ~(big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [918] (big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [918] BETA_NOT_EQUIV : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [922] ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [923] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [922] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [928] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [929] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [929] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [928] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [939] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [940] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [940] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [939] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [923] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [930] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [931] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [931] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [930] BETA_IMPLY : (big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [941] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [942] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [942] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [941] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [917] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [921] big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [921] BETA_NOT_EQUIV : ~((big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [924] ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [925] (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [925] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [934] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [935] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [935] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [934] BETA_EQUIV : (big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [947] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [948] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [947] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [948] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [924] BETA_NOT_AND : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) & big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [932] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36 -> [933] ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [933] CLOSURE : ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [932] BETA_NOT_EQUIV : ~(big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)) <=> big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [945] ~big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [946] big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), ~big_f(skolem_Z55(X3_1_0, Y4_0_0), skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [946] CLOSURE : big_f(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))
% 7.04/2.36
% 7.04/2.36 [945] : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [955] ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36
% 7.04/2.36 [955] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] : (! [Z5_5] : (((((big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & ~big_f(X3_3, Z5_5)) | (~(big_f(X3_3, Y4_4) & big_f(Y4_4, X3_3)) & big_f(X3_3, Z5_5))) => ((big_f(X3_3, Z5_5) <=> big_f(Z5_5, X3_3)) => ((big_f(X3_3, Z5_5) <=> big_f(Y4_4, Z5_5)) => (((big_f(Y4_4, X3_3) => big_f(X3_3, Y4_4)) <=> big_f(Z5_5, Z5_5)) => ((big_f(X3_3, Y4_4) <=> big_f(Y4_4, X3_3)) <=> big_f(Z5_5, Y4_4))))))))
% 7.04/2.36 -> [960] ~! [Z5_5] : (((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))))
% 7.04/2.36
% 7.04/2.36 [960] DELTA_NOT_FORALL : ~! [Z5_5] : (((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), Z5_5)) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, Z5_5)) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(Z5_5, skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))))
% 7.04/2.36 -> [963] ~((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36
% 7.04/2.36 [963] ALPHA_NOT_IMPLY : ~((((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))))
% 7.04/2.36 -> [966] (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))), ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36
% 7.04/2.36 [966] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))))
% 7.04/2.36 -> [967] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36
% 7.04/2.36 [967] ALPHA_NOT_IMPLY : ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36 -> [970] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))), ~(((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36
% 7.04/2.36 [970] ALPHA_NOT_IMPLY : ~(((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) => ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [972] ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))), ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [972] BETA_OR : (((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))) | (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))))
% 7.04/2.36 -> [973] ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [974] (~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36
% 7.04/2.36 [973] ALPHA_AND : ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) & ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [977] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [977] ALPHA_AND : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [980] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [980] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [979] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1163] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1164] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1163] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1164] BETA_EQUIV : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [1165] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1166] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1165] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1166] BETA_EQUIV : ((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))))
% 7.04/2.36 -> [1167] ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1168] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36
% 7.04/2.36 [1167] ALPHA_NOT_IMPLY : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1169] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1169] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1168] BETA_NOT_EQUIV : ~((big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))) <=> big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1170] ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1171] (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))), ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1171] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1170] BETA_NOT_AND : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) & big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1172] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1173] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1172] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1174] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1175] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1175] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1174] BETA_NOT_EQUIV : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1178] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1179] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1178] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1179] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1173] BETA_IMPLY : (big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) => big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1176] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1177] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1177] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1176] BETA_NOT_EQUIV : ~(big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))) <=> big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))))
% 7.04/2.36 -> [1180] ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36 -> [1181] big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0))), ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1180] CLOSURE : ~big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 [1181] CLOSURE : big_f(skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(skolem_Z55(X3_1_0, skolem_Z55(X3_1_0, Y4_0_0)), skolem_Z55(X3_1_0, Y4_0_0)))
% 7.04/2.36
% 7.04/2.36 % SZS output end Proof for theBenchmark.p
% 7.04/2.36 [2.003996s][1][Res] 6166 goroutines created
% 7.04/2.36 ==== Result ====
% 7.04/2.36 [2.004036s][1][Res] VALID
% 7.04/2.36 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------