TSTP Solution File: SYN917+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n019.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 22:24:57 EDT 2022
% Result : Theorem 1.34s 0.91s
% Output : Proof 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 09:32:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 [DMT] DMT loaded with preskolemization
% 0.12/0.35 [EQ] equality loaded.
% 0.12/0.35 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.36 nb_step : 1 - limit : 52
% 0.12/0.36 Launch Gotab with destructive = true
% 1.18/0.84 % SZS output start Proof for theBenchmark.p
% 1.34/0.91 [0] BETA_NOT_AND : ~(((((((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c)) & (? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55))))) & (? [X56_56] : ((p(X56_56) => c)) <=> (! [X57_57] : (p(X57_57)) => c))) & (! [X58_58] : ((c => p(X58_58))) <=> (c => ! [X59_59] : (p(X59_59))))) & (! [X60_60] : ((p(X60_60) => c)) <=> (? [X61_61] : (p(X61_61)) => c)))
% 1.34/0.91 -> [1] ~((((((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c)) & (? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55))))) & (? [X56_56] : ((p(X56_56) => c)) <=> (! [X57_57] : (p(X57_57)) => c))) & (! [X58_58] : ((c => p(X58_58))) <=> (c => ! [X59_59] : (p(X59_59)))))
% 1.34/0.91 -> [2] ~(! [X60_60] : ((p(X60_60) => c)) <=> (? [X61_61] : (p(X61_61)) => c))
% 1.34/0.91
% 1.34/0.91 [2] BETA_NOT_EQUIV : ~(! [X60_60] : ((p(X60_60) => c)) <=> (? [X61_61] : (p(X61_61)) => c))
% 1.34/0.91 -> [3] ~! [X60_60] : ((p(X60_60) => c)), (? [X61_61] : (p(X61_61)) => c)
% 1.34/0.91 -> [4] ! [X60_60] : ((p(X60_60) => c)), ~(? [X61_61] : (p(X61_61)) => c)
% 1.34/0.91
% 1.34/0.91 [3] DELTA_NOT_FORALL : ~! [X60_60] : ((p(X60_60) => c))
% 1.34/0.91 -> [6] ~(p(skolem_X6060) => c)
% 1.34/0.91
% 1.34/0.91 [6] ALPHA_NOT_IMPLY : ~(p(skolem_X6060) => c)
% 1.34/0.91 -> [7] p(skolem_X6060), ~c
% 1.34/0.91
% 1.34/0.91 [7] BETA_IMPLY : (? [X61_61] : (p(X61_61)) => c)
% 1.34/0.91 -> [9] ~? [X61_61] : (p(X61_61))
% 1.34/0.91 -> [10] c
% 1.34/0.91
% 1.34/0.91 [10] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [9] GAMMA_NOT_EXISTS : ~? [X61_61] : (p(X61_61))
% 1.34/0.91 -> [14] ~p(X61_0_0)
% 1.34/0.91
% 1.34/0.91 [14] CLOSURE : ~p(X61_0_0)
% 1.34/0.91
% 1.34/0.91 [4] ALPHA_NOT_IMPLY : ~(? [X61_61] : (p(X61_61)) => c)
% 1.34/0.91 -> [5] ? [X61_61] : (p(X61_61)), ~c
% 1.34/0.91
% 1.34/0.91 [5] DELTA_EXISTS : ? [X61_61] : (p(X61_61))
% 1.34/0.91 -> [8] p(skolem_X6161)
% 1.34/0.91
% 1.34/0.91 [8] GAMMA_FORALL : ! [X60_60] : ((p(X60_60) => c))
% 1.34/0.91 -> [11] (p(skolem_X6161) => c)
% 1.34/0.91
% 1.34/0.91 [11] BETA_IMPLY : (p(skolem_X6161) => c)
% 1.34/0.91 -> [12] ~p(skolem_X6161)
% 1.34/0.91 -> [13] c
% 1.34/0.91
% 1.34/0.91 [12] CLOSURE : ~p(skolem_X6161)
% 1.34/0.91
% 1.34/0.91 [13] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [1] BETA_NOT_AND : ~((((((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c)) & (? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55))))) & (? [X56_56] : ((p(X56_56) => c)) <=> (! [X57_57] : (p(X57_57)) => c))) & (! [X58_58] : ((c => p(X58_58))) <=> (c => ! [X59_59] : (p(X59_59)))))
% 1.34/0.91 -> [15] ~(((((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c)) & (? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55))))) & (? [X56_56] : ((p(X56_56) => c)) <=> (! [X57_57] : (p(X57_57)) => c)))
% 1.34/0.91 -> [16] ~(! [X58_58] : ((c => p(X58_58))) <=> (c => ! [X59_59] : (p(X59_59))))
% 1.34/0.91
% 1.34/0.91 [16] BETA_NOT_EQUIV : ~(! [X58_58] : ((c => p(X58_58))) <=> (c => ! [X59_59] : (p(X59_59))))
% 1.34/0.91 -> [17] ~! [X58_58] : ((c => p(X58_58))), (c => ! [X59_59] : (p(X59_59)))
% 1.34/0.91 -> [18] ! [X58_58] : ((c => p(X58_58))), ~(c => ! [X59_59] : (p(X59_59)))
% 1.34/0.91
% 1.34/0.91 [17] DELTA_NOT_FORALL : ~! [X58_58] : ((c => p(X58_58)))
% 1.34/0.91 -> [20] ~(c => p(skolem_X5858))
% 1.34/0.91
% 1.34/0.91 [20] ALPHA_NOT_IMPLY : ~(c => p(skolem_X5858))
% 1.34/0.91 -> [21] c, ~p(skolem_X5858)
% 1.34/0.91
% 1.34/0.91 [21] BETA_IMPLY : (c => ! [X59_59] : (p(X59_59)))
% 1.34/0.91 -> [24] ~c
% 1.34/0.91 -> [25] ! [X59_59] : (p(X59_59))
% 1.34/0.91
% 1.34/0.91 [24] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [25] GAMMA_FORALL : ! [X59_59] : (p(X59_59))
% 1.34/0.91 -> [28] p(X59_0_0)
% 1.34/0.91
% 1.34/0.91 [28] CLOSURE : p(X59_0_0)
% 1.34/0.91
% 1.34/0.91 [18] ALPHA_NOT_IMPLY : ~(c => ! [X59_59] : (p(X59_59)))
% 1.34/0.91 -> [19] c, ~! [X59_59] : (p(X59_59))
% 1.34/0.91
% 1.34/0.91 [19] DELTA_NOT_FORALL : ~! [X59_59] : (p(X59_59))
% 1.34/0.91 -> [22] ~p(skolem_X5959)
% 1.34/0.91
% 1.34/0.91 [22] GAMMA_FORALL : ! [X58_58] : ((c => p(X58_58)))
% 1.34/0.91 -> [23] (c => p(skolem_X5959))
% 1.34/0.91
% 1.34/0.91 [23] BETA_IMPLY : (c => p(skolem_X5959))
% 1.34/0.91 -> [26] ~c
% 1.34/0.91 -> [27] p(skolem_X5959)
% 1.34/0.91
% 1.34/0.91 [26] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [27] CLOSURE : p(skolem_X5959)
% 1.34/0.91
% 1.34/0.91 [15] BETA_NOT_AND : ~(((((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c)) & (? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55))))) & (? [X56_56] : ((p(X56_56) => c)) <=> (! [X57_57] : (p(X57_57)) => c)))
% 1.34/0.91 -> [29] ~((((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c)) & (? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55)))))
% 1.34/0.91 -> [30] ~(? [X56_56] : ((p(X56_56) => c)) <=> (! [X57_57] : (p(X57_57)) => c))
% 1.34/0.91
% 1.34/0.91 [30] BETA_NOT_EQUIV : ~(? [X56_56] : ((p(X56_56) => c)) <=> (! [X57_57] : (p(X57_57)) => c))
% 1.34/0.91 -> [31] ~? [X56_56] : ((p(X56_56) => c)), (! [X57_57] : (p(X57_57)) => c)
% 1.34/0.91 -> [32] ? [X56_56] : ((p(X56_56) => c)), ~(! [X57_57] : (p(X57_57)) => c)
% 1.34/0.91
% 1.34/0.91 [32] ALPHA_NOT_IMPLY : ~(! [X57_57] : (p(X57_57)) => c)
% 1.34/0.91 -> [33] ! [X57_57] : (p(X57_57)), ~c
% 1.34/0.91
% 1.34/0.91 [33] DELTA_EXISTS : ? [X56_56] : ((p(X56_56) => c))
% 1.34/0.91 -> [36] (p(skolem_X5656) => c)
% 1.34/0.91
% 1.34/0.91 [36] BETA_IMPLY : (p(skolem_X5656) => c)
% 1.34/0.91 -> [37] ~p(skolem_X5656)
% 1.34/0.91 -> [38] c
% 1.34/0.91
% 1.34/0.91 [38] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [37] GAMMA_FORALL : ! [X57_57] : (p(X57_57))
% 1.34/0.91 -> [44] p(X57_0_0)
% 1.34/0.91
% 1.34/0.91 [44] CLOSURE : p(X57_0_0)
% 1.34/0.91
% 1.34/0.91 [31] BETA_IMPLY : (! [X57_57] : (p(X57_57)) => c)
% 1.34/0.91 -> [34] ~! [X57_57] : (p(X57_57))
% 1.34/0.91 -> [35] c
% 1.34/0.91
% 1.34/0.91 [35] GAMMA_NOT_EXISTS : ~? [X56_56] : ((p(X56_56) => c))
% 1.34/0.91 -> [39] ~(p(X56_0_0) => c)
% 1.34/0.91
% 1.34/0.91 [39] ALPHA_NOT_IMPLY : ~(p(X56_0_0) => c)
% 1.34/0.91 -> [41] p(X56_0_0), ~c
% 1.34/0.91
% 1.34/0.91 [41] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [34] DELTA_NOT_FORALL : ~! [X57_57] : (p(X57_57))
% 1.34/0.91 -> [40] ~p(skolem_X5757)
% 1.34/0.91
% 1.34/0.91 [40] GAMMA_NOT_EXISTS : ~? [X56_56] : ((p(X56_56) => c))
% 1.34/0.91 -> [42] ~(p(X56_1_0) => c)
% 1.34/0.91
% 1.34/0.91 [42] ALPHA_NOT_IMPLY : ~(p(X56_1_0) => c)
% 1.34/0.91 -> [43] p(X56_1_0), ~c
% 1.34/0.91
% 1.34/0.91 [43] CLOSURE : p(X56_1_0)
% 1.34/0.91
% 1.34/0.91 [29] BETA_NOT_AND : ~((((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c)) & (? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55)))))
% 1.34/0.91 -> [45] ~(((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c))
% 1.34/0.91 -> [46] ~(? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55))))
% 1.34/0.91
% 1.34/0.91 [46] BETA_NOT_EQUIV : ~(? [X54_54] : ((c => p(X54_54))) <=> (c => ? [X55_55] : (p(X55_55))))
% 1.34/0.91 -> [47] ~? [X54_54] : ((c => p(X54_54))), (c => ? [X55_55] : (p(X55_55)))
% 1.34/0.91 -> [48] ? [X54_54] : ((c => p(X54_54))), ~(c => ? [X55_55] : (p(X55_55)))
% 1.34/0.91
% 1.34/0.91 [47] BETA_IMPLY : (c => ? [X55_55] : (p(X55_55)))
% 1.34/0.91 -> [50] ~c
% 1.34/0.91 -> [51] ? [X55_55] : (p(X55_55))
% 1.34/0.91
% 1.34/0.91 [50] GAMMA_NOT_EXISTS : ~? [X54_54] : ((c => p(X54_54)))
% 1.34/0.91 -> [56] ~(c => p(X54_0_0))
% 1.34/0.91
% 1.34/0.91 [56] ALPHA_NOT_IMPLY : ~(c => p(X54_0_0))
% 1.34/0.91 -> [57] c, ~p(X54_0_0)
% 1.34/0.91
% 1.34/0.91 [57] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [51] DELTA_EXISTS : ? [X55_55] : (p(X55_55))
% 1.34/0.91 -> [55] p(skolem_X5555)
% 1.34/0.91
% 1.34/0.91 [55] GAMMA_NOT_EXISTS : ~? [X54_54] : ((c => p(X54_54)))
% 1.34/0.91 -> [58] ~(c => p(X54_1_0))
% 1.34/0.91
% 1.34/0.91 [58] ALPHA_NOT_IMPLY : ~(c => p(X54_1_0))
% 1.34/0.91 -> [59] c, ~p(X54_1_0)
% 1.34/0.91
% 1.34/0.91 [59] CLOSURE : ~p(X54_1_0)
% 1.34/0.91
% 1.34/0.91 [48] ALPHA_NOT_IMPLY : ~(c => ? [X55_55] : (p(X55_55)))
% 1.34/0.91 -> [49] c, ~? [X55_55] : (p(X55_55))
% 1.34/0.91
% 1.34/0.91 [49] DELTA_EXISTS : ? [X54_54] : ((c => p(X54_54)))
% 1.34/0.91 -> [52] (c => p(skolem_X5454))
% 1.34/0.91
% 1.34/0.91 [52] BETA_IMPLY : (c => p(skolem_X5454))
% 1.34/0.91 -> [53] ~c
% 1.34/0.91 -> [54] p(skolem_X5454)
% 1.34/0.91
% 1.34/0.91 [53] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [54] GAMMA_NOT_EXISTS : ~? [X55_55] : (p(X55_55))
% 1.34/0.91 -> [60] ~p(X55_0_0)
% 1.34/0.91
% 1.34/0.91 [60] CLOSURE : ~p(X55_0_0)
% 1.34/0.91
% 1.34/0.91 [45] BETA_NOT_AND : ~(((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c)) & (! [X53_53] : (c) <=> c))
% 1.34/0.91 -> [61] ~((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c))
% 1.34/0.91 -> [62] ~(! [X53_53] : (c) <=> c)
% 1.34/0.91
% 1.34/0.91 [62] BETA_NOT_EQUIV : ~(! [X53_53] : (c) <=> c)
% 1.34/0.91 -> [63] ~! [X53_53] : (c), c
% 1.34/0.91 -> [64] ! [X53_53] : (c), ~c
% 1.34/0.91
% 1.34/0.91 [64] GAMMA_FORALL : ! [X53_53] : (c)
% 1.34/0.91 -> [65] c
% 1.34/0.91
% 1.34/0.91 [65] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [63] DELTA_NOT_FORALL : ~! [X53_53] : (c)
% 1.34/0.91 -> [66] ~c
% 1.34/0.91
% 1.34/0.91 [66] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [61] BETA_NOT_AND : ~((((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))) & (? [X52_52] : (c) <=> c))
% 1.34/0.91 -> [67] ~(((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c)))
% 1.34/0.91 -> [68] ~(? [X52_52] : (c) <=> c)
% 1.34/0.91
% 1.34/0.91 [68] BETA_NOT_EQUIV : ~(? [X52_52] : (c) <=> c)
% 1.34/0.91 -> [69] ~? [X52_52] : (c), c
% 1.34/0.91 -> [70] ? [X52_52] : (c), ~c
% 1.34/0.91
% 1.34/0.91 [70] DELTA_EXISTS : ? [X52_52] : (c)
% 1.34/0.91 -> [71] c
% 1.34/0.91
% 1.34/0.91 [71] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [69] GAMMA_NOT_EXISTS : ~? [X52_52] : (c)
% 1.34/0.91 -> [72] ~c
% 1.34/0.91
% 1.34/0.91 [72] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [67] BETA_NOT_AND : ~(((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))) & (? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c)))
% 1.34/0.91 -> [73] ~((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c)))
% 1.34/0.91 -> [74] ~(? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))
% 1.34/0.91
% 1.34/0.91 [74] BETA_NOT_EQUIV : ~(? [X50_50] : ((p(X50_50) & c)) <=> (? [X51_51] : (p(X51_51)) & c))
% 1.34/0.91 -> [75] ~? [X50_50] : ((p(X50_50) & c)), (? [X51_51] : (p(X51_51)) & c)
% 1.34/0.91 -> [76] ? [X50_50] : ((p(X50_50) & c)), ~(? [X51_51] : (p(X51_51)) & c)
% 1.34/0.91
% 1.34/0.91 [76] DELTA_EXISTS : ? [X50_50] : ((p(X50_50) & c))
% 1.34/0.91 -> [78] (p(skolem_X5050) & c)
% 1.34/0.91
% 1.34/0.91 [78] ALPHA_AND : (p(skolem_X5050) & c)
% 1.34/0.91 -> [79] p(skolem_X5050), c
% 1.34/0.91
% 1.34/0.91 [79] BETA_NOT_AND : ~(? [X51_51] : (p(X51_51)) & c)
% 1.34/0.91 -> [81] ~? [X51_51] : (p(X51_51))
% 1.34/0.91 -> [82] ~c
% 1.34/0.91
% 1.34/0.91 [82] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [81] GAMMA_NOT_EXISTS : ~? [X51_51] : (p(X51_51))
% 1.34/0.91 -> [86] ~p(X51_0_0)
% 1.34/0.91
% 1.34/0.91 [86] CLOSURE : ~p(X51_0_0)
% 1.34/0.91
% 1.34/0.91 [75] ALPHA_AND : (? [X51_51] : (p(X51_51)) & c)
% 1.34/0.91 -> [77] ? [X51_51] : (p(X51_51)), c
% 1.34/0.91
% 1.34/0.91 [77] DELTA_EXISTS : ? [X51_51] : (p(X51_51))
% 1.34/0.91 -> [80] p(skolem_X5151)
% 1.34/0.91
% 1.34/0.91 [80] GAMMA_NOT_EXISTS : ~? [X50_50] : ((p(X50_50) & c))
% 1.34/0.91 -> [83] ~(p(skolem_X5151) & c)
% 1.34/0.91
% 1.34/0.91 [83] BETA_NOT_AND : ~(p(skolem_X5151) & c)
% 1.34/0.91 -> [84] ~p(skolem_X5151)
% 1.34/0.91 -> [85] ~c
% 1.34/0.91
% 1.34/0.91 [84] CLOSURE : ~p(skolem_X5151)
% 1.34/0.91
% 1.34/0.91 [85] CLOSURE : ~c
% 1.34/0.91
% 1.34/0.91 [73] BETA_NOT_AND : ~((((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))) & (! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c)))
% 1.34/0.91 -> [87] ~(((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46)))))
% 1.34/0.91 -> [88] ~(! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))
% 1.34/0.91
% 1.34/0.91 [88] BETA_NOT_EQUIV : ~(! [X48_48] : ((p(X48_48) | c)) <=> (! [X49_49] : (p(X49_49)) | c))
% 1.34/0.91 -> [89] ~! [X48_48] : ((p(X48_48) | c)), (! [X49_49] : (p(X49_49)) | c)
% 1.34/0.91 -> [90] ! [X48_48] : ((p(X48_48) | c)), ~(! [X49_49] : (p(X49_49)) | c)
% 1.34/0.91
% 1.34/0.91 [90] ALPHA_NOT_OR : ~(! [X49_49] : (p(X49_49)) | c)
% 1.34/0.91 -> [91] ~! [X49_49] : (p(X49_49)), ~c
% 1.34/0.91
% 1.34/0.91 [91] DELTA_NOT_FORALL : ~! [X49_49] : (p(X49_49))
% 1.34/0.91 -> [94] ~p(skolem_X4949)
% 1.34/0.91
% 1.34/0.91 [94] GAMMA_FORALL : ! [X48_48] : ((p(X48_48) | c))
% 1.34/0.91 -> [97] (p(skolem_X4949) | c)
% 1.34/0.91
% 1.34/0.91 [97] BETA_OR : (p(skolem_X4949) | c)
% 1.34/0.91 -> [98] p(skolem_X4949)
% 1.34/0.91 -> [99] c
% 1.34/0.91
% 1.34/0.91 [99] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [98] CLOSURE : p(skolem_X4949)
% 1.34/0.91
% 1.34/0.91 [89] DELTA_NOT_FORALL : ~! [X48_48] : ((p(X48_48) | c))
% 1.34/0.91 -> [92] ~(p(skolem_X4848) | c)
% 1.34/0.91
% 1.34/0.91 [92] ALPHA_NOT_OR : ~(p(skolem_X4848) | c)
% 1.34/0.91 -> [93] ~p(skolem_X4848), ~c
% 1.34/0.91
% 1.34/0.91 [93] BETA_OR : (! [X49_49] : (p(X49_49)) | c)
% 1.34/0.91 -> [95] ! [X49_49] : (p(X49_49))
% 1.34/0.91 -> [96] c
% 1.34/0.91
% 1.34/0.91 [96] CLOSURE : c
% 1.34/0.91
% 1.34/0.91 [95] GAMMA_FORALL : ! [X49_49] : (p(X49_49))
% 1.34/0.91 -> [100] p(X49_0_0)
% 1.34/0.91
% 1.34/0.91 [100] CLOSURE : p(X49_0_0)
% 1.34/0.91
% 1.34/0.91 [87] BETA_NOT_AND : ~(((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))) & (~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46)))))
% 1.34/0.91 -> [101] ~((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44))))
% 1.34/0.91 -> [102] ~(~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))
% 1.34/0.91
% 1.34/0.91 [102] ALPHA_NOT_IMPLY : ~(~? [Y45_45] : (p(Y45_45)) => ! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46))))
% 1.34/0.91 -> [103] ~? [Y45_45] : (p(Y45_45)), ~! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46)))
% 1.34/0.91
% 1.34/0.91 [103] DELTA_NOT_FORALL : ~! [Y46_46] : ((? [X47_47] : (p(X47_47)) => p(Y46_46)))
% 1.34/0.91 -> [104] ~(? [X47_47] : (p(X47_47)) => p(skolem_Y4646))
% 1.34/0.91
% 1.34/0.91 [104] ALPHA_NOT_IMPLY : ~(? [X47_47] : (p(X47_47)) => p(skolem_Y4646))
% 1.34/0.91 -> [105] ? [X47_47] : (p(X47_47)), ~p(skolem_Y4646)
% 1.34/0.91
% 1.34/0.91 [105] DELTA_EXISTS : ? [X47_47] : (p(X47_47))
% 1.34/0.91 -> [106] p(skolem_X4747)
% 1.34/0.91
% 1.34/0.91 [106] GAMMA_NOT_EXISTS : ~? [Y45_45] : (p(Y45_45))
% 1.34/0.91 -> [107] ~p(Y45_0_0)
% 1.34/0.91
% 1.34/0.91 [107] CLOSURE : ~p(Y45_0_0)
% 1.34/0.91
% 1.34/0.91 [101] BETA_NOT_AND : ~((((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))) & (! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44))))
% 1.34/0.91 -> [108] ~(((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41))))
% 1.34/0.91 -> [109] ~(! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))
% 1.34/0.91
% 1.34/0.91 [109] ALPHA_NOT_IMPLY : ~(! [X43_43] : (p(X43_43)) => ? [X44_44] : (p(X44_44)))
% 1.34/0.91 -> [110] ! [X43_43] : (p(X43_43)), ~? [X44_44] : (p(X44_44))
% 1.34/0.91
% 1.34/0.91 [110] GAMMA_FORALL : ! [X43_43] : (p(X43_43))
% 1.34/0.91 -> [111] p(X43_0_0)
% 1.34/0.91
% 1.34/0.91 [111] GAMMA_NOT_EXISTS : ~? [X44_44] : (p(X44_44))
% 1.34/0.91 -> [112] ~p(X44_0_1)
% 1.34/0.91
% 1.34/0.91 [112] CLOSURE : ~p(X44_0_1)
% 1.34/0.91
% 1.34/0.91 [108] BETA_NOT_AND : ~(((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))) & ! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41))))
% 1.34/0.91 -> [113] ~((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40)))))
% 1.34/0.91 -> [114] ~! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))
% 1.34/0.91
% 1.34/0.91 [114] DELTA_NOT_FORALL : ~! [Y41_41] : ((! [X42_42] : (p(X42_42)) => p(Y41_41)))
% 1.34/0.91 -> [115] ~(! [X42_42] : (p(X42_42)) => p(skolem_Y4141))
% 1.34/0.91
% 1.34/0.91 [115] ALPHA_NOT_IMPLY : ~(! [X42_42] : (p(X42_42)) => p(skolem_Y4141))
% 1.34/0.91 -> [116] ! [X42_42] : (p(X42_42)), ~p(skolem_Y4141)
% 1.34/0.91
% 1.34/0.91 [116] GAMMA_FORALL : ! [X42_42] : (p(X42_42))
% 1.34/0.91 -> [117] p(X42_0_0)
% 1.34/0.91
% 1.34/0.91 [117] CLOSURE : p(X42_0_0)
% 1.34/0.91
% 1.34/0.91 [113] BETA_NOT_AND : ~((((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))) & (? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40)))))
% 1.34/0.91 -> [118] ~(((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37)))))
% 1.34/0.91 -> [119] ~(? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))
% 1.34/0.91
% 1.34/0.91 [119] ALPHA_NOT_IMPLY : ~(? [X38_38] : ((p(X38_38) & q(X38_38))) => (? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40))))
% 1.34/0.91 -> [120] ? [X38_38] : ((p(X38_38) & q(X38_38))), ~(? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40)))
% 1.34/0.91
% 1.34/0.91 [120] DELTA_EXISTS : ? [X38_38] : ((p(X38_38) & q(X38_38)))
% 1.34/0.91 -> [121] (p(skolem_X3838) & q(skolem_X3838))
% 1.34/0.91
% 1.34/0.91 [121] ALPHA_AND : (p(skolem_X3838) & q(skolem_X3838))
% 1.34/0.91 -> [122] p(skolem_X3838), q(skolem_X3838)
% 1.34/0.91
% 1.34/0.91 [122] BETA_NOT_AND : ~(? [X39_39] : (p(X39_39)) & ? [X40_40] : (q(X40_40)))
% 1.34/0.91 -> [123] ~? [X39_39] : (p(X39_39))
% 1.34/0.91 -> [124] ~? [X40_40] : (q(X40_40))
% 1.34/0.91
% 1.34/0.91 [123] GAMMA_NOT_EXISTS : ~? [X39_39] : (p(X39_39))
% 1.34/0.91 -> [125] ~p(X39_0_0)
% 1.34/0.91
% 1.34/0.91 [125] CLOSURE : ~p(X39_0_0)
% 1.34/0.91
% 1.34/0.91 [124] GAMMA_NOT_EXISTS : ~? [X40_40] : (q(X40_40))
% 1.34/0.91 -> [126] ~q(X40_0_0)
% 1.34/0.91
% 1.34/0.91 [126] CLOSURE : ~q(X40_0_0)
% 1.34/0.91
% 1.34/0.91 [118] BETA_NOT_AND : ~(((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))) & ? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37)))))
% 1.34/0.91 -> [127] ~((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35)))))
% 1.34/0.91 -> [128] ~? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))
% 1.34/0.91
% 1.34/0.91 [128] GAMMA_NOT_EXISTS : ~? [Y36_36] : ((p(Y36_36) => ! [X37_37] : (p(X37_37))))
% 1.34/0.91 -> [129] ~(p(Y36_0_0) => ! [X37_37] : (p(X37_37)))
% 1.34/0.91
% 1.34/0.91 [129] ALPHA_NOT_IMPLY : ~(p(Y36_0_0) => ! [X37_37] : (p(X37_37)))
% 1.34/0.91 -> [130] p(Y36_0_0), ~! [X37_37] : (p(X37_37))
% 1.34/0.91
% 1.34/0.91 [130] DELTA_NOT_FORALL : ~! [X37_37] : (p(X37_37))
% 1.34/0.91 -> [131] ~p(skolem_X3737)
% 1.34/0.91
% 1.34/0.91 [131] CLOSURE : ~p(skolem_X3737)
% 1.34/0.91
% 1.34/0.91 [127] BETA_NOT_AND : ~((((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))) & (? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35)))))
% 1.34/0.91 -> [132] ~(((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32)))))
% 1.34/0.91 -> [133] ~(? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))
% 1.34/0.91
% 1.34/0.91 [133] BETA_NOT_EQUIV : ~(? [X33_33] : ((p(X33_33) | q(X33_33))) <=> (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35))))
% 1.34/0.91 -> [134] ~? [X33_33] : ((p(X33_33) | q(X33_33))), (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35)))
% 1.34/0.91 -> [135] ? [X33_33] : ((p(X33_33) | q(X33_33))), ~(? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35)))
% 1.34/0.91
% 1.34/0.91 [134] BETA_OR : (? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35)))
% 1.34/0.91 -> [137] ? [X34_34] : (p(X34_34))
% 1.34/0.91 -> [138] ? [X35_35] : (q(X35_35))
% 1.34/0.91
% 1.34/0.91 [138] DELTA_EXISTS : ? [X35_35] : (q(X35_35))
% 1.34/0.91 -> [142] q(skolem_X3535)
% 1.34/0.91
% 1.34/0.91 [142] GAMMA_NOT_EXISTS : ~? [X33_33] : ((p(X33_33) | q(X33_33)))
% 1.34/0.91 -> [144] ~(p(X33_0_0) | q(X33_0_0))
% 1.34/0.91
% 1.34/0.91 [144] ALPHA_NOT_OR : ~(p(X33_0_0) | q(X33_0_0))
% 1.34/0.91 -> [145] ~p(X33_0_0), ~q(X33_0_0)
% 1.34/0.91
% 1.34/0.91 [145] CLOSURE : ~q(X33_0_0)
% 1.34/0.91
% 1.34/0.91 [137] DELTA_EXISTS : ? [X34_34] : (p(X34_34))
% 1.34/0.91 -> [143] p(skolem_X3434)
% 1.34/0.91
% 1.34/0.91 [143] GAMMA_NOT_EXISTS : ~? [X33_33] : ((p(X33_33) | q(X33_33)))
% 1.34/0.91 -> [147] ~(p(X33_1_0) | q(X33_1_0))
% 1.34/0.91
% 1.34/0.91 [147] ALPHA_NOT_OR : ~(p(X33_1_0) | q(X33_1_0))
% 1.34/0.91 -> [149] ~p(X33_1_0), ~q(X33_1_0)
% 1.34/0.91
% 1.34/0.91 [149] CLOSURE : ~p(X33_1_0)
% 1.34/0.91
% 1.34/0.91 [135] ALPHA_NOT_OR : ~(? [X34_34] : (p(X34_34)) | ? [X35_35] : (q(X35_35)))
% 1.34/0.91 -> [136] ~? [X34_34] : (p(X34_34)), ~? [X35_35] : (q(X35_35))
% 1.34/0.91
% 1.34/0.91 [136] DELTA_EXISTS : ? [X33_33] : ((p(X33_33) | q(X33_33)))
% 1.34/0.91 -> [139] (p(skolem_X3333) | q(skolem_X3333))
% 1.34/0.91
% 1.34/0.91 [139] BETA_OR : (p(skolem_X3333) | q(skolem_X3333))
% 1.34/0.91 -> [140] p(skolem_X3333)
% 1.34/0.91 -> [141] q(skolem_X3333)
% 1.34/0.91
% 1.34/0.91 [140] GAMMA_NOT_EXISTS : ~? [X34_34] : (p(X34_34))
% 1.34/0.91 -> [148] ~p(X34_1_0)
% 1.34/0.91
% 1.34/0.91 [148] CLOSURE : ~p(X34_1_0)
% 1.34/0.91
% 1.34/0.91 [141] GAMMA_NOT_EXISTS : ~? [X34_34] : (p(X34_34))
% 1.34/0.91 -> [146] ~p(X34_0_0)
% 1.34/0.91
% 1.34/0.91 [146] GAMMA_NOT_EXISTS : ~? [X35_35] : (q(X35_35))
% 1.34/0.91 -> [150] ~q(X35_0_1)
% 1.34/0.91
% 1.34/0.91 [150] CLOSURE : ~q(X35_0_1)
% 1.34/0.91
% 1.34/0.91 [132] BETA_NOT_AND : ~(((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))) & ((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32)))))
% 1.34/0.91 -> [151] ~((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29)))))
% 1.34/0.91 -> [152] ~((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))
% 1.34/0.91
% 1.34/0.91 [152] ALPHA_NOT_IMPLY : ~((! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))) => ! [X32_32] : ((p(X32_32) | q(X32_32))))
% 1.34/0.91 -> [153] (! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31))), ~! [X32_32] : ((p(X32_32) | q(X32_32)))
% 1.34/0.91
% 1.34/0.91 [153] DELTA_NOT_FORALL : ~! [X32_32] : ((p(X32_32) | q(X32_32)))
% 1.34/0.91 -> [154] ~(p(skolem_X3232) | q(skolem_X3232))
% 1.34/0.91
% 1.34/0.91 [154] ALPHA_NOT_OR : ~(p(skolem_X3232) | q(skolem_X3232))
% 1.34/0.91 -> [155] ~p(skolem_X3232), ~q(skolem_X3232)
% 1.34/0.91
% 1.34/0.91 [155] BETA_OR : (! [X30_30] : (p(X30_30)) | ! [X31_31] : (q(X31_31)))
% 1.34/0.91 -> [156] ! [X30_30] : (p(X30_30))
% 1.34/0.91 -> [157] ! [X31_31] : (q(X31_31))
% 1.34/0.91
% 1.34/0.91 [156] GAMMA_FORALL : ! [X30_30] : (p(X30_30))
% 1.34/0.91 -> [158] p(X30_0_0)
% 1.34/0.91
% 1.34/0.91 [158] CLOSURE : p(X30_0_0)
% 1.34/0.91
% 1.34/0.91 [157] GAMMA_FORALL : ! [X31_31] : (q(X31_31))
% 1.34/0.91 -> [159] q(X31_0_0)
% 1.34/0.91
% 1.34/0.91 [159] CLOSURE : q(X31_0_0)
% 1.34/0.91
% 1.34/0.91 [151] BETA_NOT_AND : ~((((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))) & (! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29)))))
% 1.34/0.91 -> [160] ~(((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25))))))
% 1.34/0.91 -> [161] ~(! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))
% 1.34/0.91
% 1.34/0.91 [161] BETA_NOT_EQUIV : ~(! [X27_27] : ((p(X27_27) & q(X27_27))) <=> (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29))))
% 1.34/0.91 -> [162] ~! [X27_27] : ((p(X27_27) & q(X27_27))), (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29)))
% 1.34/0.91 -> [163] ! [X27_27] : ((p(X27_27) & q(X27_27))), ~(! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29)))
% 1.34/0.91
% 1.34/0.91 [163] BETA_NOT_AND : ~(! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29)))
% 1.34/0.91 -> [165] ~! [X28_28] : (p(X28_28))
% 1.34/0.91 -> [166] ~! [X29_29] : (q(X29_29))
% 1.34/0.91
% 1.34/0.91 [165] DELTA_NOT_FORALL : ~! [X28_28] : (p(X28_28))
% 1.34/0.91 -> [171] ~p(skolem_X2828)
% 1.34/0.91
% 1.34/0.91 [171] GAMMA_FORALL : ! [X27_27] : ((p(X27_27) & q(X27_27)))
% 1.34/0.91 -> [173] (p(X27_1_0) & q(X27_1_0))
% 1.34/0.91
% 1.34/0.91 [173] ALPHA_AND : (p(X27_1_0) & q(X27_1_0))
% 1.34/0.91 -> [175] p(X27_1_0), q(X27_1_0)
% 1.34/0.91
% 1.34/0.91 [175] CLOSURE : p(X27_1_0)
% 1.34/0.91
% 1.34/0.91 [166] DELTA_NOT_FORALL : ~! [X29_29] : (q(X29_29))
% 1.34/0.91 -> [168] ~q(skolem_X2929)
% 1.34/0.91
% 1.34/0.91 [168] GAMMA_FORALL : ! [X27_27] : ((p(X27_27) & q(X27_27)))
% 1.34/0.91 -> [172] (p(X27_0_0) & q(X27_0_0))
% 1.34/0.91
% 1.34/0.91 [172] ALPHA_AND : (p(X27_0_0) & q(X27_0_0))
% 1.34/0.91 -> [176] p(X27_0_0), q(X27_0_0)
% 1.34/0.91
% 1.34/0.91 [176] CLOSURE : q(X27_0_0)
% 1.34/0.91
% 1.34/0.91 [162] ALPHA_AND : (! [X28_28] : (p(X28_28)) & ! [X29_29] : (q(X29_29)))
% 1.34/0.91 -> [164] ! [X28_28] : (p(X28_28)), ! [X29_29] : (q(X29_29))
% 1.34/0.91
% 1.34/0.91 [164] DELTA_NOT_FORALL : ~! [X27_27] : ((p(X27_27) & q(X27_27)))
% 1.34/0.91 -> [167] ~(p(skolem_X2727) & q(skolem_X2727))
% 1.34/0.91
% 1.34/0.91 [167] BETA_NOT_AND : ~(p(skolem_X2727) & q(skolem_X2727))
% 1.34/0.91 -> [169] ~p(skolem_X2727)
% 1.34/0.91 -> [170] ~q(skolem_X2727)
% 1.34/0.91
% 1.34/0.91 [169] GAMMA_FORALL : ! [X28_28] : (p(X28_28))
% 1.34/0.91 -> [174] p(X28_0_0)
% 1.34/0.91
% 1.34/0.91 [174] CLOSURE : p(X28_0_0)
% 1.34/0.91
% 1.34/0.91 [170] GAMMA_FORALL : ! [X28_28] : (p(X28_28))
% 1.34/0.91 -> [177] p(X28_1_0)
% 1.34/0.91
% 1.34/0.91 [177] GAMMA_FORALL : ! [X29_29] : (q(X29_29))
% 1.34/0.91 -> [178] q(X29_0_1)
% 1.34/0.91
% 1.34/0.91 [178] CLOSURE : q(X29_0_1)
% 1.34/0.91
% 1.34/0.91 [160] BETA_NOT_AND : ~(((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))) & ? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25))))))
% 1.34/0.91 -> [179] ~((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24))))))
% 1.34/0.91 -> [180] ~? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))
% 1.34/0.91
% 1.34/0.91 [180] GAMMA_NOT_EXISTS : ~? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))
% 1.34/0.91 -> [181] ~! [Y26_26] : (((p(Y26_26) => q(X25_0_0)) => (p(X25_0_0) => q(X25_0_0))))
% 1.34/0.91
% 1.34/0.91 [181] DELTA_NOT_FORALL : ~! [Y26_26] : (((p(Y26_26) => q(X25_0_0)) => (p(X25_0_0) => q(X25_0_0))))
% 1.34/0.91 -> [182] ~((p(skolem_Y2626(X25_0_0)) => q(X25_0_0)) => (p(X25_0_0) => q(X25_0_0)))
% 1.34/0.91
% 1.34/0.91 [182] ALPHA_NOT_IMPLY : ~((p(skolem_Y2626(X25_0_0)) => q(X25_0_0)) => (p(X25_0_0) => q(X25_0_0)))
% 1.34/0.91 -> [183] (p(skolem_Y2626(X25_0_0)) => q(X25_0_0)), ~(p(X25_0_0) => q(X25_0_0))
% 1.34/0.91
% 1.34/0.91 [183] ALPHA_NOT_IMPLY : ~(p(X25_0_0) => q(X25_0_0))
% 1.34/0.91 -> [184] p(X25_0_0), ~q(X25_0_0)
% 1.34/0.91
% 1.34/0.91 [184] BETA_IMPLY : (p(skolem_Y2626(X25_0_0)) => q(X25_0_0))
% 1.34/0.91 -> [185] ~p(skolem_Y2626(X25_0_0))
% 1.34/0.91 -> [186] q(X25_0_0)
% 1.34/0.91
% 1.34/0.91 [186] CLOSURE : q(X25_0_0)
% 1.34/0.91
% 1.34/0.91 [185] : ~? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))
% 1.34/0.91 -> [187] ~? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))
% 1.34/0.91
% 1.34/0.91 [187] GAMMA_NOT_EXISTS : ~? [X25_25] : (! [Y26_26] : (((p(Y26_26) => q(X25_25)) => (p(X25_25) => q(X25_25)))))
% 1.34/0.91 -> [188] ~! [Y26_26] : (((p(Y26_26) => q(X25_1_0)) => (p(X25_1_0) => q(X25_1_0))))
% 1.34/0.91
% 1.34/0.91 [188] DELTA_NOT_FORALL : ~! [Y26_26] : (((p(Y26_26) => q(X25_1_0)) => (p(X25_1_0) => q(X25_1_0))))
% 1.34/0.91 -> [189] ~((p(skolem_Y2626(X25_1_0)) => q(X25_1_0)) => (p(X25_1_0) => q(X25_1_0)))
% 1.34/0.91
% 1.34/0.91 [189] ALPHA_NOT_IMPLY : ~((p(skolem_Y2626(X25_1_0)) => q(X25_1_0)) => (p(X25_1_0) => q(X25_1_0)))
% 1.34/0.91 -> [190] (p(skolem_Y2626(X25_1_0)) => q(X25_1_0)), ~(p(X25_1_0) => q(X25_1_0))
% 1.34/0.91
% 1.34/0.91 [190] ALPHA_NOT_IMPLY : ~(p(X25_1_0) => q(X25_1_0))
% 1.34/0.91 -> [191] p(X25_1_0), ~q(X25_1_0)
% 1.34/0.91
% 1.34/0.91 [191] CLOSURE : p(X25_1_0)
% 1.34/0.91
% 1.34/0.91 [179] BETA_NOT_AND : ~((((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))) & (((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24))))))
% 1.34/0.91 -> [192] ~(((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17)))))
% 1.34/0.91 -> [193] ~(((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))
% 1.34/0.91
% 1.34/0.91 [193] ALPHA_NOT_IMPLY : ~(((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))) => (! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))))
% 1.34/0.91 -> [194] ((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))), ~(! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24))))
% 1.34/0.91
% 1.34/0.91 [194] ALPHA_AND : ((! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))) & (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22)))))
% 1.34/0.91 -> [197] (! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20)))), (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))
% 1.34/0.91
% 1.34/0.91 [197] ALPHA_NOT_IMPLY : ~(! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))) => ? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24))))
% 1.34/0.91 -> [198] ! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23))), ~? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))
% 1.34/0.91
% 1.34/0.91 [198] BETA_IMPLY : (! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19))) => ? [X20_20] : ((f(X20_20) & ~g(X20_20))))
% 1.34/0.91 -> [200] ~! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19)))
% 1.34/0.91 -> [201] ? [X20_20] : ((f(X20_20) & ~g(X20_20)))
% 1.34/0.91
% 1.34/0.91 [200] DELTA_NOT_FORALL : ~! [X19_19] : (((f(X19_19) & g(X19_19)) => h(X19_19)))
% 1.34/0.91 -> [204] ~((f(skolem_X1919) & g(skolem_X1919)) => h(skolem_X1919))
% 1.34/0.91
% 1.34/0.91 [204] ALPHA_NOT_IMPLY : ~((f(skolem_X1919) & g(skolem_X1919)) => h(skolem_X1919))
% 1.34/0.91 -> [206] (f(skolem_X1919) & g(skolem_X1919)), ~h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [206] ALPHA_AND : (f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [210] f(skolem_X1919), g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [210] BETA_OR : (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))
% 1.34/0.91 -> [242] ! [W21_21] : ((f(W21_21) => g(W21_21)))
% 1.34/0.91 -> [243] ! [Z22_22] : ((f(Z22_22) => h(Z22_22)))
% 1.34/0.91
% 1.34/0.91 [243] GAMMA_FORALL : ! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23)))
% 1.34/0.91 -> [264] ((f(skolem_X1919) & h(skolem_X1919)) => g(skolem_X1919))
% 1.34/0.91
% 1.34/0.91 [264] BETA_IMPLY : ((f(skolem_X1919) & h(skolem_X1919)) => g(skolem_X1919))
% 1.34/0.91 -> [266] ~(f(skolem_X1919) & h(skolem_X1919))
% 1.34/0.91 -> [267] g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [267] GAMMA_NOT_EXISTS : ~? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))
% 1.34/0.91 -> [303] ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91
% 1.34/0.91 [303] BETA_NOT_AND : ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91 -> [310] ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [311] ~~h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [311] ALPHA_NOT_NOT : ~~h(skolem_X1919)
% 1.34/0.91 -> [322] h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [322] CLOSURE : h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [310] BETA_NOT_AND : ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [318] ~f(skolem_X1919)
% 1.34/0.91 -> [319] ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [319] CLOSURE : ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [318] CLOSURE : ~f(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [266] BETA_NOT_AND : ~(f(skolem_X1919) & h(skolem_X1919))
% 1.34/0.91 -> [276] ~f(skolem_X1919)
% 1.34/0.91 -> [277] ~h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [276] CLOSURE : ~f(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [277] GAMMA_NOT_EXISTS : ~? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))
% 1.34/0.91 -> [296] ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91
% 1.34/0.91 [296] BETA_NOT_AND : ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91 -> [297] ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [298] ~~h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [298] ALPHA_NOT_NOT : ~~h(skolem_X1919)
% 1.34/0.91 -> [306] h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [306] CLOSURE : h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [297] BETA_NOT_AND : ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [307] ~f(skolem_X1919)
% 1.34/0.91 -> [308] ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [308] CLOSURE : ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [307] CLOSURE : ~f(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [242] GAMMA_FORALL : ! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23)))
% 1.34/0.91 -> [273] ((f(skolem_X1919) & h(skolem_X1919)) => g(skolem_X1919))
% 1.34/0.91
% 1.34/0.91 [273] BETA_IMPLY : ((f(skolem_X1919) & h(skolem_X1919)) => g(skolem_X1919))
% 1.34/0.91 -> [274] ~(f(skolem_X1919) & h(skolem_X1919))
% 1.34/0.91 -> [275] g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [275] GAMMA_NOT_EXISTS : ~? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))
% 1.34/0.91 -> [302] ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91
% 1.34/0.91 [302] BETA_NOT_AND : ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91 -> [347] ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [348] ~~h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [348] ALPHA_NOT_NOT : ~~h(skolem_X1919)
% 1.34/0.91 -> [349] h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [349] CLOSURE : h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [347] BETA_NOT_AND : ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [364] ~f(skolem_X1919)
% 1.34/0.91 -> [365] ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [364] CLOSURE : ~f(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [365] CLOSURE : ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [274] BETA_NOT_AND : ~(f(skolem_X1919) & h(skolem_X1919))
% 1.34/0.91 -> [283] ~f(skolem_X1919)
% 1.34/0.91 -> [284] ~h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [283] CLOSURE : ~f(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [284] GAMMA_NOT_EXISTS : ~? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))
% 1.34/0.91 -> [361] ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91
% 1.34/0.91 [361] BETA_NOT_AND : ~((f(skolem_X1919) & g(skolem_X1919)) & ~h(skolem_X1919))
% 1.34/0.91 -> [362] ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [363] ~~h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [362] BETA_NOT_AND : ~(f(skolem_X1919) & g(skolem_X1919))
% 1.34/0.91 -> [366] ~f(skolem_X1919)
% 1.34/0.91 -> [367] ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [366] CLOSURE : ~f(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [367] CLOSURE : ~g(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [363] ALPHA_NOT_NOT : ~~h(skolem_X1919)
% 1.34/0.91 -> [368] h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [368] CLOSURE : h(skolem_X1919)
% 1.34/0.91
% 1.34/0.91 [201] DELTA_EXISTS : ? [X20_20] : ((f(X20_20) & ~g(X20_20)))
% 1.34/0.91 -> [205] (f(skolem_X2020) & ~g(skolem_X2020))
% 1.34/0.91
% 1.34/0.91 [205] ALPHA_AND : (f(skolem_X2020) & ~g(skolem_X2020))
% 1.34/0.91 -> [207] f(skolem_X2020), ~g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [207] BETA_OR : (! [W21_21] : ((f(W21_21) => g(W21_21))) | ! [Z22_22] : ((f(Z22_22) => h(Z22_22))))
% 1.34/0.91 -> [212] ! [W21_21] : ((f(W21_21) => g(W21_21)))
% 1.34/0.91 -> [213] ! [Z22_22] : ((f(Z22_22) => h(Z22_22)))
% 1.34/0.91
% 1.34/0.91 [212] GAMMA_FORALL : ! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23)))
% 1.34/0.91 -> [220] ((f(skolem_X2020) & h(skolem_X2020)) => g(skolem_X2020))
% 1.34/0.91
% 1.34/0.91 [220] BETA_IMPLY : ((f(skolem_X2020) & h(skolem_X2020)) => g(skolem_X2020))
% 1.34/0.91 -> [221] ~(f(skolem_X2020) & h(skolem_X2020))
% 1.34/0.91 -> [222] g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [222] CLOSURE : g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [221] BETA_NOT_AND : ~(f(skolem_X2020) & h(skolem_X2020))
% 1.34/0.91 -> [226] ~f(skolem_X2020)
% 1.34/0.91 -> [227] ~h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [226] CLOSURE : ~f(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [227] GAMMA_NOT_EXISTS : ~? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))
% 1.34/0.91 -> [232] ~((f(skolem_X2020) & g(skolem_X2020)) & ~h(skolem_X2020))
% 1.34/0.91
% 1.34/0.91 [232] BETA_NOT_AND : ~((f(skolem_X2020) & g(skolem_X2020)) & ~h(skolem_X2020))
% 1.34/0.91 -> [233] ~(f(skolem_X2020) & g(skolem_X2020))
% 1.34/0.91 -> [234] ~~h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [233] BETA_NOT_AND : ~(f(skolem_X2020) & g(skolem_X2020))
% 1.34/0.91 -> [240] ~f(skolem_X2020)
% 1.34/0.91 -> [241] ~g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [240] CLOSURE : ~f(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [241] GAMMA_FORALL : ! [W21_21] : ((f(W21_21) => g(W21_21)))
% 1.34/0.91 -> [252] (f(skolem_X2020) => g(skolem_X2020))
% 1.34/0.91
% 1.34/0.91 [252] BETA_IMPLY : (f(skolem_X2020) => g(skolem_X2020))
% 1.34/0.91 -> [253] ~f(skolem_X2020)
% 1.34/0.91 -> [254] g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [254] CLOSURE : g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [253] CLOSURE : ~f(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [245] CLOSURE : h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [213] GAMMA_FORALL : ! [R23_23] : (((f(R23_23) & h(R23_23)) => g(R23_23)))
% 1.34/0.91 -> [223] ((f(skolem_X2020) & h(skolem_X2020)) => g(skolem_X2020))
% 1.34/0.91
% 1.34/0.91 [223] BETA_IMPLY : ((f(skolem_X2020) & h(skolem_X2020)) => g(skolem_X2020))
% 1.34/0.91 -> [224] ~(f(skolem_X2020) & h(skolem_X2020))
% 1.34/0.91 -> [225] g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [225] CLOSURE : g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [224] BETA_NOT_AND : ~(f(skolem_X2020) & h(skolem_X2020))
% 1.34/0.91 -> [237] ~f(skolem_X2020)
% 1.34/0.91 -> [238] ~h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [237] CLOSURE : ~f(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [238] GAMMA_NOT_EXISTS : ~? [V24_24] : (((f(V24_24) & g(V24_24)) & ~h(V24_24)))
% 1.34/0.91 -> [246] ~((f(skolem_X2020) & g(skolem_X2020)) & ~h(skolem_X2020))
% 1.34/0.91
% 1.34/0.91 [246] BETA_NOT_AND : ~((f(skolem_X2020) & g(skolem_X2020)) & ~h(skolem_X2020))
% 1.34/0.91 -> [249] ~(f(skolem_X2020) & g(skolem_X2020))
% 1.34/0.91 -> [250] ~~h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [250] ALPHA_NOT_NOT : ~~h(skolem_X2020)
% 1.34/0.91 -> [295] h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [295] CLOSURE : h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [249] BETA_NOT_AND : ~(f(skolem_X2020) & g(skolem_X2020))
% 1.34/0.91 -> [375] ~f(skolem_X2020)
% 1.34/0.91 -> [376] ~g(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [375] CLOSURE : ~f(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [376] GAMMA_FORALL : ! [Z22_22] : ((f(Z22_22) => h(Z22_22)))
% 1.34/0.91 -> [377] (f(skolem_X2020) => h(skolem_X2020))
% 1.34/0.91
% 1.34/0.91 [377] BETA_IMPLY : (f(skolem_X2020) => h(skolem_X2020))
% 1.34/0.91 -> [378] ~f(skolem_X2020)
% 1.34/0.91 -> [379] h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [378] CLOSURE : ~f(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [379] CLOSURE : h(skolem_X2020)
% 1.34/0.91
% 1.34/0.91 [192] BETA_NOT_AND : ~(((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))) & ((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17)))))
% 1.34/0.91 -> [195] ~((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))))
% 1.34/0.91 -> [196] ~((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))
% 1.34/0.91
% 1.34/0.91 [195] ALPHA_NOT_IMPLY : ~((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))))
% 1.34/0.91 -> [202] (! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))), ~(! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))
% 1.34/0.91
% 1.34/0.91 [202] ALPHA_AND : (! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9)))))
% 1.34/0.91 -> [209] ! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))), (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))
% 1.34/0.91
% 1.34/0.91 [209] ALPHA_NOT_IMPLY : ~(! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))
% 1.34/0.91 -> [214] ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))), ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 1.34/0.91
% 1.34/0.91 [214] BETA_OR : (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))
% 1.34/0.91 -> [218] ! [W8_8] : ((f(W8_8) => g(W8_8)))
% 1.34/0.91 -> [219] ! [Z9_9] : ((f(Z9_9) => h(Z9_9)))
% 1.34/0.91
% 1.34/0.91 [218] GAMMA_FORALL : ! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))))
% 1.34/0.91 -> [228] (((f(X6_0_0) & g(X6_0_0)) => h(X6_0_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 1.34/0.91
% 1.34/0.91 [228] BETA_IMPLY : (((f(X6_0_0) & g(X6_0_0)) => h(X6_0_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 1.34/0.91 -> [229] ~((f(X6_0_0) & g(X6_0_0)) => h(X6_0_0))
% 1.34/0.91 -> [230] ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 1.34/0.91
% 1.34/0.91 [230] DELTA_EXISTS : ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 1.34/0.91 -> [257] (f(skolem_Y77) & ~g(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [257] ALPHA_AND : (f(skolem_Y77) & ~g(skolem_Y77))
% 1.34/0.91 -> [258] f(skolem_Y77), ~g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [258] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 1.34/0.91 -> [261] ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [261] BETA_IMPLY : ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 1.34/0.91 -> [262] ~(f(skolem_Y77) & h(skolem_Y77))
% 1.34/0.91 -> [263] g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [263] CLOSURE : g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [262] BETA_NOT_AND : ~(f(skolem_Y77) & h(skolem_Y77))
% 1.34/0.91 -> [281] ~f(skolem_Y77)
% 1.34/0.91 -> [282] ~h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [281] CLOSURE : ~f(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [282] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 1.34/0.91 -> [287] ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [287] BETA_NOT_AND : ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 1.34/0.91 -> [288] ~(f(skolem_Y77) & g(skolem_Y77))
% 1.34/0.91 -> [289] ~~h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [288] BETA_NOT_AND : ~(f(skolem_Y77) & g(skolem_Y77))
% 1.34/0.91 -> [304] ~f(skolem_Y77)
% 1.34/0.91 -> [305] ~g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [304] CLOSURE : ~f(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [305] GAMMA_FORALL : ! [W8_8] : ((f(W8_8) => g(W8_8)))
% 1.34/0.91 -> [323] (f(skolem_Y77) => g(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [323] BETA_IMPLY : (f(skolem_Y77) => g(skolem_Y77))
% 1.34/0.91 -> [325] ~f(skolem_Y77)
% 1.34/0.91 -> [326] g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [325] CLOSURE : ~f(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [326] CLOSURE : g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [290] CLOSURE : h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [229] ALPHA_NOT_IMPLY : ~((f(R10_2_1) & g(R10_2_1)) => h(R10_2_1))
% 1.34/0.91 -> [239] (f(R10_2_1) & g(R10_2_1)), ~h(R10_2_1)
% 1.34/0.91
% 1.34/0.91 [239] ALPHA_AND : (f(R10_2_1) & g(R10_2_1))
% 1.34/0.91 -> [247] f(R10_2_1), g(R10_2_1)
% 1.34/0.91
% 1.34/0.91 [247] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 1.34/0.91 -> [278] ((f(R10_2_1) & h(R10_2_1)) => g(R10_2_1))
% 1.34/0.91
% 1.34/0.91 [278] BETA_IMPLY : ((f(R10_2_1) & h(R10_2_1)) => g(R10_2_1))
% 1.34/0.91 -> [279] ~(f(R10_2_1) & h(R10_2_1))
% 1.34/0.91 -> [280] g(R10_2_1)
% 1.34/0.91
% 1.34/0.91 [280] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 1.34/0.91 -> [317] ~((f(V11_2_2) & g(V11_2_2)) & ~h(V11_2_2))
% 1.34/0.91
% 1.34/0.91 [317] BETA_NOT_AND : ~((f(V11_2_2) & g(V11_2_2)) & ~h(V11_2_2))
% 1.34/0.91 -> [320] ~(f(V11_2_2) & g(V11_2_2))
% 1.34/0.91 -> [321] ~~h(V11_2_2)
% 1.34/0.91
% 1.34/0.91 [321] ALPHA_NOT_NOT : ~~h(V11_2_2)
% 1.34/0.91 -> [330] h(V11_2_2)
% 1.34/0.91
% 1.34/0.91 [330] CLOSURE : h(V11_2_2)
% 1.34/0.91
% 1.34/0.91 [320] BETA_NOT_AND : ~(f(V11_2_2) & g(V11_2_2))
% 1.34/0.91 -> [336] ~f(V11_2_2)
% 1.34/0.91 -> [337] ~g(V11_2_2)
% 1.34/0.91
% 1.34/0.91 [337] CLOSURE : ~g(V11_2_2)
% 1.34/0.91
% 1.34/0.91 [336] CLOSURE : ~f(V11_2_2)
% 1.34/0.91
% 1.34/0.91 [279] BETA_NOT_AND : ~(f(R10_2_1) & h(R10_2_1))
% 1.34/0.91 -> [292] ~f(R10_2_1)
% 1.34/0.91 -> [293] ~h(R10_2_1)
% 1.34/0.91
% 1.34/0.91 [292] CLOSURE : ~f(R10_2_1)
% 1.34/0.91
% 1.34/0.91 [293] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 1.34/0.91 -> [338] ~((f(V11_3_2) & g(V11_3_2)) & ~h(V11_3_2))
% 1.34/0.91
% 1.34/0.91 [338] BETA_NOT_AND : ~((f(V11_3_2) & g(V11_3_2)) & ~h(V11_3_2))
% 1.34/0.91 -> [339] ~(f(V11_3_2) & g(V11_3_2))
% 1.34/0.91 -> [340] ~~h(V11_3_2)
% 1.34/0.91
% 1.34/0.91 [340] ALPHA_NOT_NOT : ~~h(V11_3_2)
% 1.34/0.91 -> [343] h(V11_3_2)
% 1.34/0.91
% 1.34/0.91 [343] CLOSURE : h(V11_3_2)
% 1.34/0.91
% 1.34/0.91 [339] BETA_NOT_AND : ~(f(V11_3_2) & g(V11_3_2))
% 1.34/0.91 -> [356] ~f(V11_3_2)
% 1.34/0.91 -> [357] ~g(V11_3_2)
% 1.34/0.91
% 1.34/0.91 [357] CLOSURE : ~g(V11_3_2)
% 1.34/0.91
% 1.34/0.91 [356] CLOSURE : ~f(V11_3_2)
% 1.34/0.91
% 1.34/0.91 [219] GAMMA_FORALL : ! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))))
% 1.34/0.91 -> [231] (((f(X6_1_0) & g(X6_1_0)) => h(X6_1_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 1.34/0.91
% 1.34/0.91 [231] BETA_IMPLY : (((f(X6_1_0) & g(X6_1_0)) => h(X6_1_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 1.34/0.91 -> [235] ~((f(X6_1_0) & g(X6_1_0)) => h(X6_1_0))
% 1.34/0.91 -> [236] ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 1.34/0.91
% 1.34/0.91 [235] ALPHA_NOT_IMPLY : ~((f(R10_3_1) & g(R10_3_1)) => h(R10_3_1))
% 1.34/0.91 -> [291] (f(R10_3_1) & g(R10_3_1)), ~h(R10_3_1)
% 1.34/0.91
% 1.34/0.91 [291] ALPHA_AND : (f(R10_3_1) & g(R10_3_1))
% 1.34/0.91 -> [294] f(R10_3_1), g(R10_3_1)
% 1.34/0.91
% 1.34/0.91 [294] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 1.34/0.91 -> [324] ((f(R10_3_1) & h(R10_3_1)) => g(R10_3_1))
% 1.34/0.91
% 1.34/0.91 [324] BETA_IMPLY : ((f(R10_3_1) & h(R10_3_1)) => g(R10_3_1))
% 1.34/0.91 -> [327] ~(f(R10_3_1) & h(R10_3_1))
% 1.34/0.91 -> [328] g(R10_3_1)
% 1.34/0.91
% 1.34/0.91 [328] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 1.34/0.91 -> [344] ~((f(V11_4_2) & g(V11_4_2)) & ~h(V11_4_2))
% 1.34/0.91
% 1.34/0.91 [344] BETA_NOT_AND : ~((f(V11_4_2) & g(V11_4_2)) & ~h(V11_4_2))
% 1.34/0.91 -> [345] ~(f(V11_4_2) & g(V11_4_2))
% 1.34/0.91 -> [346] ~~h(V11_4_2)
% 1.34/0.91
% 1.34/0.91 [346] ALPHA_NOT_NOT : ~~h(V11_4_2)
% 1.34/0.91 -> [350] h(V11_4_2)
% 1.34/0.91
% 1.34/0.91 [350] CLOSURE : h(V11_4_2)
% 1.34/0.91
% 1.34/0.91 [345] BETA_NOT_AND : ~(f(V11_4_2) & g(V11_4_2))
% 1.34/0.91 -> [351] ~f(V11_4_2)
% 1.34/0.91 -> [352] ~g(V11_4_2)
% 1.34/0.91
% 1.34/0.91 [352] CLOSURE : ~g(V11_4_2)
% 1.34/0.91
% 1.34/0.91 [351] CLOSURE : ~f(V11_4_2)
% 1.34/0.91
% 1.34/0.91 [327] BETA_NOT_AND : ~(f(R10_3_1) & h(R10_3_1))
% 1.34/0.91 -> [341] ~f(R10_3_1)
% 1.34/0.91 -> [342] ~h(R10_3_1)
% 1.34/0.91
% 1.34/0.91 [341] CLOSURE : ~f(R10_3_1)
% 1.34/0.91
% 1.34/0.91 [342] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 1.34/0.91 -> [353] ~((f(V11_5_2) & g(V11_5_2)) & ~h(V11_5_2))
% 1.34/0.91
% 1.34/0.91 [353] BETA_NOT_AND : ~((f(V11_5_2) & g(V11_5_2)) & ~h(V11_5_2))
% 1.34/0.91 -> [354] ~(f(V11_5_2) & g(V11_5_2))
% 1.34/0.91 -> [355] ~~h(V11_5_2)
% 1.34/0.91
% 1.34/0.91 [355] ALPHA_NOT_NOT : ~~h(V11_5_2)
% 1.34/0.91 -> [358] h(V11_5_2)
% 1.34/0.91
% 1.34/0.91 [358] CLOSURE : h(V11_5_2)
% 1.34/0.91
% 1.34/0.91 [354] BETA_NOT_AND : ~(f(V11_5_2) & g(V11_5_2))
% 1.34/0.91 -> [359] ~f(V11_5_2)
% 1.34/0.91 -> [360] ~g(V11_5_2)
% 1.34/0.91
% 1.34/0.91 [360] CLOSURE : ~g(V11_5_2)
% 1.34/0.91
% 1.34/0.91 [359] CLOSURE : ~f(V11_5_2)
% 1.34/0.91
% 1.34/0.91 [236] DELTA_EXISTS : ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 1.34/0.91 -> [244] (f(skolem_Y77) & ~g(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [244] ALPHA_AND : (f(skolem_Y77) & ~g(skolem_Y77))
% 1.34/0.91 -> [248] f(skolem_Y77), ~g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [248] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 1.34/0.91 -> [251] ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [251] BETA_IMPLY : ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 1.34/0.91 -> [255] ~(f(skolem_Y77) & h(skolem_Y77))
% 1.34/0.91 -> [256] g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [256] CLOSURE : g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [255] BETA_NOT_AND : ~(f(skolem_Y77) & h(skolem_Y77))
% 1.34/0.91 -> [299] ~f(skolem_Y77)
% 1.34/0.91 -> [300] ~h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [299] CLOSURE : ~f(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [300] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 1.34/0.91 -> [314] ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [314] BETA_NOT_AND : ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 1.34/0.91 -> [315] ~(f(skolem_Y77) & g(skolem_Y77))
% 1.34/0.91 -> [316] ~~h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [315] BETA_NOT_AND : ~(f(skolem_Y77) & g(skolem_Y77))
% 1.34/0.91 -> [331] ~f(skolem_Y77)
% 1.34/0.91 -> [332] ~g(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [332] GAMMA_FORALL : ! [Z9_9] : ((f(Z9_9) => h(Z9_9)))
% 1.34/0.91 -> [333] (f(skolem_Y77) => h(skolem_Y77))
% 1.34/0.91
% 1.34/0.91 [333] BETA_IMPLY : (f(skolem_Y77) => h(skolem_Y77))
% 1.34/0.91 -> [334] ~f(skolem_Y77)
% 1.34/0.91 -> [335] h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [334] CLOSURE : ~f(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [335] CLOSURE : h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [331] CLOSURE : ~f(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [329] CLOSURE : h(skolem_Y77)
% 1.34/0.91
% 1.34/0.91 [196] ALPHA_NOT_IMPLY : ~((! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))) => ! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17))))
% 1.34/0.91 -> [199] (! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))), ~! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17)))
% 1.34/0.91
% 1.34/0.91 [199] ALPHA_AND : (! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))) & ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16))))
% 1.34/0.91 -> [203] ! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12))), ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))
% 1.34/0.91
% 1.34/0.91 [203] DELTA_NOT_FORALL : ~! [X17_17, Y18_18] : ((r(X17_17, Y18_18) => r(X17_17, X17_17)))
% 1.34/0.91 -> [208] ~(r(skolem_X1717, skolem_Y1818) => r(skolem_X1717, skolem_X1717))
% 1.34/0.91
% 1.34/0.91 [208] ALPHA_NOT_IMPLY : ~(r(skolem_X1717, skolem_Y1818) => r(skolem_X1717, skolem_X1717))
% 1.34/0.91 -> [211] r(skolem_X1717, skolem_Y1818), ~r(skolem_X1717, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 [211] GAMMA_FORALL : ! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12)))
% 1.34/0.91 -> [215] (r(skolem_X1717, skolem_X1717) => r(skolem_X1717, skolem_X1717))
% 1.34/0.91
% 1.34/0.91 [215] BETA_IMPLY : (r(skolem_X1717, skolem_X1717) => r(skolem_X1717, skolem_X1717))
% 1.34/0.91 -> [216] ~r(skolem_X1717, skolem_X1717)
% 1.34/0.91 -> [217] r(skolem_X1717, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 [217] CLOSURE : r(skolem_X1717, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 [216] GAMMA_FORALL : ! [X14_14, Y15_15, Z16_16] : (((r(X14_14, Y15_15) & r(Y15_15, Z16_16)) => r(X14_14, Z16_16)))
% 1.34/0.91 -> [270] ((r(skolem_X1717, skolem_Y1818) & r(skolem_Y1818, skolem_X1717)) => r(skolem_X1717, skolem_X1717))
% 1.34/0.91
% 1.34/0.91 [270] BETA_IMPLY : ((r(skolem_X1717, skolem_Y1818) & r(skolem_Y1818, skolem_X1717)) => r(skolem_X1717, skolem_X1717))
% 1.34/0.91 -> [271] ~(r(skolem_X1717, skolem_Y1818) & r(skolem_Y1818, skolem_X1717))
% 1.34/0.91 -> [272] r(skolem_X1717, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 [272] CLOSURE : r(skolem_X1717, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 [271] BETA_NOT_AND : ~(r(skolem_X1717, skolem_Y1818) & r(skolem_Y1818, skolem_X1717))
% 1.34/0.91 -> [369] ~r(skolem_X1717, skolem_Y1818)
% 1.34/0.91 -> [370] ~r(skolem_Y1818, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 [369] CLOSURE : ~r(skolem_X1717, skolem_Y1818)
% 1.34/0.91
% 1.34/0.91 [370] : ! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12)))
% 1.34/0.91 -> [371] ! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12)))
% 1.34/0.91
% 1.34/0.91 [371] GAMMA_FORALL : ! [X12_12, Y13_13] : ((r(X12_12, Y13_13) => r(Y13_13, X12_12)))
% 1.34/0.91 -> [372] (r(skolem_X1717, skolem_Y1818) => r(skolem_Y1818, skolem_X1717))
% 1.34/0.91
% 1.34/0.91 [372] BETA_IMPLY : (r(skolem_X1717, skolem_Y1818) => r(skolem_Y1818, skolem_X1717))
% 1.34/0.91 -> [373] ~r(skolem_X1717, skolem_Y1818)
% 1.34/0.91 -> [374] r(skolem_Y1818, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 [373] CLOSURE : ~r(skolem_X1717, skolem_Y1818)
% 1.34/0.91
% 1.34/0.91 [374] CLOSURE : r(skolem_Y1818, skolem_X1717)
% 1.34/0.91
% 1.34/0.91 % SZS output end Proof for theBenchmark.p
% 1.34/0.91 [0.564200s][1][Res] 549 goroutines created
% 1.34/0.91 ==== Result ====
% 1.34/0.91 [0.564242s][1][Res] VALID
% 1.34/0.91 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------