TSTP Solution File: LCL644+1.005 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL644+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n008.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 : Sun Sep 18 03:42:50 EDT 2022
% Result : Theorem 0.42s 0.61s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL644+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Sep 1 22:57:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 80
% 0.12/0.35 Launch Gotab with destructive = true
% 0.42/0.57 % SZS output start Proof for theBenchmark.p
% 0.42/0.61 [0] ALPHA_NOT_NOT : ~~? [X2_2] : (~((((((~((! [Y3_3] : (((~r1(X2_2, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(X2_2, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(X2_2, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(X2_2, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(X2_2, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(X2_2, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(X2_2, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(X2_2, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(X2_2, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(X2_2, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(X2_2, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(X2_2, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(X2_2, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(X2_2, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(X2_2, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(X2_2, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(X2_2, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(X2_2, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(X2_2, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(X2_2, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(X2_2, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))) | ! [Y65_65] : (((~r1(X2_2, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))) | ~((! [Y67_67] : (((~r1(X2_2, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(X2_2, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(X2_2, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(X2_2, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(X2_2, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79))))))))
% 0.42/0.61 -> [1] ? [X2_2] : (~((((((~((! [Y3_3] : (((~r1(X2_2, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(X2_2, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(X2_2, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(X2_2, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(X2_2, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(X2_2, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(X2_2, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(X2_2, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(X2_2, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(X2_2, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(X2_2, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(X2_2, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(X2_2, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(X2_2, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(X2_2, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(X2_2, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(X2_2, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(X2_2, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(X2_2, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(X2_2, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(X2_2, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))) | ! [Y65_65] : (((~r1(X2_2, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))) | ~((! [Y67_67] : (((~r1(X2_2, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(X2_2, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(X2_2, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(X2_2, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(X2_2, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79))))))))
% 0.42/0.61
% 0.42/0.61 [1] DELTA_EXISTS : ? [X2_2] : (~((((((~((! [Y3_3] : (((~r1(X2_2, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(X2_2, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(X2_2, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(X2_2, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(X2_2, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(X2_2, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(X2_2, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(X2_2, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(X2_2, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(X2_2, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(X2_2, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(X2_2, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(X2_2, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(X2_2, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(X2_2, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(X2_2, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(X2_2, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(X2_2, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(X2_2, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(X2_2, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(X2_2, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))) | ! [Y65_65] : (((~r1(X2_2, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))) | ~((! [Y67_67] : (((~r1(X2_2, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(X2_2, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(X2_2, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(X2_2, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(X2_2, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79))))))))
% 0.42/0.61 -> [2] ~((((((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(skolem_X22, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))) | ! [Y65_65] : (((~r1(skolem_X22, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))) | ~((! [Y67_67] : (((~r1(skolem_X22, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(skolem_X22, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(skolem_X22, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(skolem_X22, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(skolem_X22, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79)))))))
% 0.42/0.61
% 0.42/0.61 [2] ALPHA_NOT_OR : ~((((((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(skolem_X22, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))) | ! [Y65_65] : (((~r1(skolem_X22, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))) | ~((! [Y67_67] : (((~r1(skolem_X22, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(skolem_X22, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(skolem_X22, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(skolem_X22, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(skolem_X22, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79)))))))
% 0.42/0.61 -> [3] ~(((((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(skolem_X22, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))) | ! [Y65_65] : (((~r1(skolem_X22, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))), ~~((! [Y67_67] : (((~r1(skolem_X22, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(skolem_X22, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(skolem_X22, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(skolem_X22, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(skolem_X22, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79))))))
% 0.42/0.61
% 0.42/0.61 [3] ALPHA_NOT_OR : ~(((((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(skolem_X22, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))) | ! [Y65_65] : (((~r1(skolem_X22, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65)))))
% 0.42/0.61 -> [4] ~((((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(skolem_X22, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))), ~! [Y65_65] : (((~r1(skolem_X22, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))
% 0.42/0.61
% 0.42/0.61 [4] ALPHA_NOT_NOT : ~~((! [Y67_67] : (((~r1(skolem_X22, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(skolem_X22, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(skolem_X22, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(skolem_X22, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(skolem_X22, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79))))))
% 0.42/0.61 -> [5] ((! [Y67_67] : (((~r1(skolem_X22, Y67_67) | ~(p2(Y67_67) & ! [X268_68] : ((~r1(Y67_67, X268_68) | p2(X268_68))))) | p1(Y67_67))) | ! [Y69_69] : (((~r1(skolem_X22, Y69_69) | p2(Y69_69)) | ~((p1(Y69_69) & ! [X270_70] : ((~r1(Y69_69, X270_70) | p1(X270_70)))) & p1(Y69_69))))) | ~((! [Y71_71] : ((((~r1(skolem_X22, Y71_71) | ! [X272_72] : (((~r1(Y71_71, X272_72) | ~(p2(X272_72) & ! [Y7173_73] : ((~r1(X272_72, Y7173_73) | p2(Y7173_73))))) | p1(X272_72)))) | p2(Y71_71)) | ~((p1(Y71_71) & ! [X274_74] : ((~r1(Y71_71, X274_74) | p1(X274_74)))) & p1(Y71_71)))) & ! [Y75_75] : ((((~r1(skolem_X22, Y75_75) | ~(p2(Y75_75) & ! [X276_76] : ((~r1(Y75_75, X276_76) | p2(X276_76))))) | p1(Y75_75)) | ! [X277_77] : (((~r1(Y75_75, X277_77) | p2(X277_77)) | ~((p1(X277_77) & ! [Y7578_78] : ((~r1(X277_77, Y7578_78) | p1(Y7578_78)))) & p1(X277_77))))))) & ! [Y79_79] : (((((~r1(skolem_X22, Y79_79) | ~(p2(Y79_79) & ! [X280_80] : ((~r1(Y79_79, X280_80) | p2(X280_80))))) | p1(Y79_79)) | p2(Y79_79)) | ~((p1(Y79_79) & ! [X281_81] : ((~r1(Y79_79, X281_81) | p1(X281_81)))) & p1(Y79_79))))))
% 0.42/0.61
% 0.42/0.61 [5] ALPHA_NOT_OR : ~((((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))) | ! [Y63_63] : (((~r1(skolem_X22, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63)))))
% 0.42/0.61 -> [6] ~(((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))), ~! [Y63_63] : (((~r1(skolem_X22, Y63_63) | p5(Y63_63)) | ~(! [X264_64] : ((~r1(Y63_63, X264_64) | p5(X264_64))) & p5(Y63_63))))
% 0.42/0.61
% 0.42/0.61 [6] ALPHA_NOT_OR : ~(((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))) | ~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60)))))))
% 0.42/0.61 -> [7] ~((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))), ~~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))
% 0.42/0.61
% 0.42/0.61 [7] ALPHA_NOT_OR : ~((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))) | ~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45)))))))
% 0.42/0.61 -> [8] ~(~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))), ~~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))
% 0.42/0.61
% 0.42/0.61 [8] ALPHA_NOT_NOT : ~~((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))
% 0.42/0.61 -> [9] ((! [Y48_48] : (((~r1(skolem_X22, Y48_48) | ~(p3(Y48_48) & ! [X249_49] : ((~r1(Y48_48, X249_49) | p3(X249_49))))) | p2(Y48_48))) | ! [Y50_50] : (((~r1(skolem_X22, Y50_50) | p3(Y50_50)) | ~((p2(Y50_50) & ! [X251_51] : ((~r1(Y50_50, X251_51) | p2(X251_51)))) & p2(Y50_50))))) | ~((! [Y52_52] : ((((~r1(skolem_X22, Y52_52) | ! [X253_53] : (((~r1(Y52_52, X253_53) | ~(p3(X253_53) & ! [Y5254_54] : ((~r1(X253_53, Y5254_54) | p3(Y5254_54))))) | p2(X253_53)))) | p3(Y52_52)) | ~((p2(Y52_52) & ! [X255_55] : ((~r1(Y52_52, X255_55) | p2(X255_55)))) & p2(Y52_52)))) & ! [Y56_56] : ((((~r1(skolem_X22, Y56_56) | ~(p3(Y56_56) & ! [X257_57] : ((~r1(Y56_56, X257_57) | p3(X257_57))))) | p2(Y56_56)) | ! [X258_58] : (((~r1(Y56_56, X258_58) | p3(X258_58)) | ~((p2(X258_58) & ! [Y5659_59] : ((~r1(X258_58, Y5659_59) | p2(Y5659_59)))) & p2(X258_58))))))) & ! [Y60_60] : (((((~r1(skolem_X22, Y60_60) | ~(p3(Y60_60) & ! [X261_61] : ((~r1(Y60_60, X261_61) | p3(X261_61))))) | p2(Y60_60)) | p3(Y60_60)) | ~((p2(Y60_60) & ! [X262_62] : ((~r1(Y60_60, X262_62) | p2(X262_62)))) & p2(Y60_60))))))
% 0.42/0.61
% 0.42/0.61 [9] ALPHA_NOT_OR : ~(~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))) | ~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30)))))))
% 0.42/0.61 -> [10] ~~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15)))))), ~~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))
% 0.42/0.61
% 0.42/0.61 [10] ALPHA_NOT_NOT : ~~((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))
% 0.42/0.61 -> [11] ((! [Y33_33] : (((~r1(skolem_X22, Y33_33) | ~(p4(Y33_33) & ! [X234_34] : ((~r1(Y33_33, X234_34) | p4(X234_34))))) | p3(Y33_33))) | ! [Y35_35] : (((~r1(skolem_X22, Y35_35) | p4(Y35_35)) | ~((p3(Y35_35) & ! [X236_36] : ((~r1(Y35_35, X236_36) | p3(X236_36)))) & p3(Y35_35))))) | ~((! [Y37_37] : ((((~r1(skolem_X22, Y37_37) | ! [X238_38] : (((~r1(Y37_37, X238_38) | ~(p4(X238_38) & ! [Y3739_39] : ((~r1(X238_38, Y3739_39) | p4(Y3739_39))))) | p3(X238_38)))) | p4(Y37_37)) | ~((p3(Y37_37) & ! [X240_40] : ((~r1(Y37_37, X240_40) | p3(X240_40)))) & p3(Y37_37)))) & ! [Y41_41] : ((((~r1(skolem_X22, Y41_41) | ~(p4(Y41_41) & ! [X242_42] : ((~r1(Y41_41, X242_42) | p4(X242_42))))) | p3(Y41_41)) | ! [X243_43] : (((~r1(Y41_41, X243_43) | p4(X243_43)) | ~((p3(X243_43) & ! [Y4144_44] : ((~r1(X243_43, Y4144_44) | p3(Y4144_44)))) & p3(X243_43))))))) & ! [Y45_45] : (((((~r1(skolem_X22, Y45_45) | ~(p4(Y45_45) & ! [X246_46] : ((~r1(Y45_45, X246_46) | p4(X246_46))))) | p3(Y45_45)) | p4(Y45_45)) | ~((p3(Y45_45) & ! [X247_47] : ((~r1(Y45_45, X247_47) | p3(X247_47)))) & p3(Y45_45))))))
% 0.42/0.61
% 0.42/0.61 [11] ALPHA_NOT_NOT : ~~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15))))))
% 0.42/0.61 -> [12] ((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p6(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p6(X24_4))))) | p5(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p6(Y5_5)) | ~((p5(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p5(X26_6)))) & p5(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p6(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p6(Y79_9))))) | p5(X28_8)))) | p6(Y7_7)) | ~((p5(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p5(X210_10)))) & p5(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p6(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p6(X212_12))))) | p5(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p6(X213_13)) | ~((p5(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p5(Y1114_14)))) & p5(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p6(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p6(X216_16))))) | p5(Y15_15)) | p6(Y15_15)) | ~((p5(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p5(X217_17)))) & p5(Y15_15))))))
% 0.42/0.61
% 0.42/0.61 [12] ALPHA_NOT_NOT : ~~((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))
% 0.42/0.61 -> [13] ((! [Y18_18] : (((~r1(skolem_X22, Y18_18) | ~(p5(Y18_18) & ! [X219_19] : ((~r1(Y18_18, X219_19) | p5(X219_19))))) | p4(Y18_18))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p5(Y20_20)) | ~((p4(Y20_20) & ! [X221_21] : ((~r1(Y20_20, X221_21) | p4(X221_21)))) & p4(Y20_20))))) | ~((! [Y22_22] : ((((~r1(skolem_X22, Y22_22) | ! [X223_23] : (((~r1(Y22_22, X223_23) | ~(p5(X223_23) & ! [Y2224_24] : ((~r1(X223_23, Y2224_24) | p5(Y2224_24))))) | p4(X223_23)))) | p5(Y22_22)) | ~((p4(Y22_22) & ! [X225_25] : ((~r1(Y22_22, X225_25) | p4(X225_25)))) & p4(Y22_22)))) & ! [Y26_26] : ((((~r1(skolem_X22, Y26_26) | ~(p5(Y26_26) & ! [X227_27] : ((~r1(Y26_26, X227_27) | p5(X227_27))))) | p4(Y26_26)) | ! [X228_28] : (((~r1(Y26_26, X228_28) | p5(X228_28)) | ~((p4(X228_28) & ! [Y2629_29] : ((~r1(X228_28, Y2629_29) | p4(Y2629_29)))) & p4(X228_28))))))) & ! [Y30_30] : (((((~r1(skolem_X22, Y30_30) | ~(p5(Y30_30) & ! [X231_31] : ((~r1(Y30_30, X231_31) | p5(X231_31))))) | p4(Y30_30)) | p5(Y30_30)) | ~((p4(Y30_30) & ! [X232_32] : ((~r1(Y30_30, X232_32) | p4(X232_32)))) & p4(Y30_30))))))
% 0.42/0.61
% 0.42/0.61 [13] DELTA_NOT_FORALL : ~! [Y65_65] : (((~r1(skolem_X22, Y65_65) | p5(Y65_65)) | ~(! [X266_66] : ((~r1(Y65_65, X266_66) | p5(X266_66))) & p5(Y65_65))))
% 0.42/0.61 -> [14] ~((~r1(skolem_X22, skolem_Y6565) | p5(skolem_Y6565)) | ~(! [X266_66] : ((~r1(skolem_Y6565, X266_66) | p5(X266_66))) & p5(skolem_Y6565)))
% 0.42/0.61
% 0.42/0.61 [14] ALPHA_NOT_OR : ~((~r1(skolem_X22, skolem_Y6565) | p5(skolem_Y6565)) | ~(! [X266_66] : ((~r1(skolem_Y6565, X266_66) | p5(X266_66))) & p5(skolem_Y6565)))
% 0.42/0.61 -> [15] ~(~r1(skolem_X22, skolem_Y6565) | p5(skolem_Y6565)), ~~(! [X266_66] : ((~r1(skolem_Y6565, X266_66) | p5(X266_66))) & p5(skolem_Y6565))
% 0.42/0.61
% 0.42/0.61 [15] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y6565) | p5(skolem_Y6565))
% 0.42/0.61 -> [16] ~~r1(skolem_X22, skolem_Y6565), ~p5(skolem_Y6565)
% 0.42/0.61
% 0.42/0.61 [16] ALPHA_NOT_NOT : ~~(! [X266_66] : ((~r1(skolem_Y6565, X266_66) | p5(X266_66))) & p5(skolem_Y6565))
% 0.42/0.61 -> [17] (! [X266_66] : ((~r1(skolem_Y6565, X266_66) | p5(X266_66))) & p5(skolem_Y6565))
% 0.42/0.61
% 0.42/0.61 [17] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y6565)
% 0.42/0.61 -> [18] r1(skolem_X22, skolem_Y6565)
% 0.42/0.61
% 0.42/0.61 [18] ALPHA_AND : (! [X266_66] : ((~r1(skolem_Y6565, X266_66) | p5(X266_66))) & p5(skolem_Y6565))
% 0.42/0.61 -> [19] ! [X266_66] : ((~r1(skolem_Y6565, X266_66) | p5(X266_66))), p5(skolem_Y6565)
% 0.42/0.61
% 0.42/0.61 [19] CLOSURE : p5(skolem_Y6565)
% 0.42/0.61
% 0.42/0.61 % SZS output end Proof for theBenchmark.p
% 0.42/0.61 [0.267793s][1][Res] 1 goroutines created
% 0.42/0.61 ==== Result ====
% 0.42/0.61 [0.267838s][1][Res] VALID
% 0.42/0.61 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------