TSTP Solution File: KRS145+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n010.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 : Sat Sep 17 17:33:20 EDT 2022
% Result : Theorem 27.19s 4.33s
% Output : Proof 27.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n010.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 09:30:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34 [DMT] DMT loaded with preskolemization
% 0.18/0.34 [EQ] equality loaded.
% 0.18/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.18/0.34 Start search
% 0.18/0.34 nb_step : 1 - limit : 17
% 0.18/0.34 Launch Gotab with destructive = true
% 27.06/4.29 % SZS output start Proof for theBenchmark.p
% 27.19/4.32 [0] ALPHA_AND : (! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8))) & ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10))) & ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12))) & ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15))) & ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17))) & ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20))) & ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22))) & ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23))) & ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24))) & ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30)))))) & ~((! [X31_31] : ((cowlThing(X31_31) & ~cowlNothing(X31_31))) & ! [X32_32] : ((xsd_string(X32_32) <=> ~xsd_integer(X32_32)))) & ! [X33_33] : ((cc(X33_33) => (? [Y034_34, Y135_35] : (((rp(X33_33, Y034_34) & rp(X33_33, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(X33_33, Y036_36) & rp(X33_33, Y137_37)) & rp(X33_33, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38)))))))))
% 27.19/4.32 -> [1] ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8))), ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10))), ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12))), ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15))), ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17))), ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20))), ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22))), ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23))), ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24))), ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30)))))), ~((! [X31_31] : ((cowlThing(X31_31) & ~cowlNothing(X31_31))) & ! [X32_32] : ((xsd_string(X32_32) <=> ~xsd_integer(X32_32)))) & ! [X33_33] : ((cc(X33_33) => (? [Y034_34, Y135_35] : (((rp(X33_33, Y034_34) & rp(X33_33, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(X33_33, Y036_36) & rp(X33_33, Y137_37)) & rp(X33_33, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38))))))))
% 27.19/4.32
% 27.19/4.32 [1] BETA_NOT_AND : ~((! [X31_31] : ((cowlThing(X31_31) & ~cowlNothing(X31_31))) & ! [X32_32] : ((xsd_string(X32_32) <=> ~xsd_integer(X32_32)))) & ! [X33_33] : ((cc(X33_33) => (? [Y034_34, Y135_35] : (((rp(X33_33, Y034_34) & rp(X33_33, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(X33_33, Y036_36) & rp(X33_33, Y137_37)) & rp(X33_33, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38))))))))
% 27.19/4.32 -> [2] ~(! [X31_31] : ((cowlThing(X31_31) & ~cowlNothing(X31_31))) & ! [X32_32] : ((xsd_string(X32_32) <=> ~xsd_integer(X32_32))))
% 27.19/4.32 -> [3] ~! [X33_33] : ((cc(X33_33) => (? [Y034_34, Y135_35] : (((rp(X33_33, Y034_34) & rp(X33_33, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(X33_33, Y036_36) & rp(X33_33, Y137_37)) & rp(X33_33, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38)))))))
% 27.19/4.32
% 27.19/4.32 [2] BETA_NOT_AND : ~(! [X31_31] : ((cowlThing(X31_31) & ~cowlNothing(X31_31))) & ! [X32_32] : ((xsd_string(X32_32) <=> ~xsd_integer(X32_32))))
% 27.19/4.32 -> [4] ~! [X31_31] : ((cowlThing(X31_31) & ~cowlNothing(X31_31)))
% 27.19/4.32 -> [5] ~! [X32_32] : ((xsd_string(X32_32) <=> ~xsd_integer(X32_32)))
% 27.19/4.32
% 27.19/4.32 [4] DELTA_NOT_FORALL : ~! [X31_31] : ((cowlThing(X31_31) & ~cowlNothing(X31_31)))
% 27.19/4.32 -> [8] ~(cowlThing(skolem_X3131) & ~cowlNothing(skolem_X3131))
% 27.19/4.32
% 27.19/4.32 [8] BETA_NOT_AND : ~(cowlThing(skolem_X3131) & ~cowlNothing(skolem_X3131))
% 27.19/4.32 -> [11] ~cowlThing(skolem_X3131)
% 27.19/4.32 -> [12] ~~cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [12] ALPHA_NOT_NOT : ~~cowlNothing(skolem_X3131)
% 27.19/4.32 -> [14] cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [14] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8)))
% 27.19/4.32 -> [24] ((=(B8_2_0, B8_2_0) & cc(B8_2_0)) => cc(B8_2_0))
% 27.19/4.32
% 27.19/4.32 [24] BETA_IMPLY : ((=(B8_2_0, B8_2_0) & cc(B8_2_0)) => cc(B8_2_0))
% 27.19/4.32 -> [25] ~(=(B8_2_0, B8_2_0) & cc(B8_2_0))
% 27.19/4.32 -> [26] cc(B8_2_0)
% 27.19/4.32
% 27.19/4.32 [25] BETA_NOT_AND : ~(=(B8_2_0, B8_2_0) & cc(B8_2_0))
% 27.19/4.32 -> [34] ~=(B8_2_0, B8_2_0)
% 27.19/4.32 -> [35] ~cc(B8_2_0)
% 27.19/4.32
% 27.19/4.32 [34] CLOSURE : ~=(B8_2_0, B8_2_0)
% 27.19/4.32
% 27.19/4.32 [35] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [47] ((=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131)) => cowlNothing(skolem_X3131))
% 27.19/4.32
% 27.19/4.32 [47] BETA_IMPLY : ((=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131)) => cowlNothing(skolem_X3131))
% 27.19/4.32 -> [66] ~(=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131))
% 27.19/4.32 -> [67] cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [66] BETA_NOT_AND : ~(=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131))
% 27.19/4.32 -> [292] ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32 -> [293] ~cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [292] CLOSURE : ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [293] CLOSURE : ~cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [67] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [76] ((=(B12_3_2, B12_3_2) & cowlThing(B12_3_2)) => cowlThing(B12_3_2))
% 27.19/4.32
% 27.19/4.32 [76] BETA_IMPLY : ((=(B12_3_2, B12_3_2) & cowlThing(B12_3_2)) => cowlThing(B12_3_2))
% 27.19/4.32 -> [111] ~(=(B12_3_2, B12_3_2) & cowlThing(B12_3_2))
% 27.19/4.32 -> [112] cowlThing(B12_3_2)
% 27.19/4.32
% 27.19/4.32 [111] BETA_NOT_AND : ~(=(B12_3_2, B12_3_2) & cowlThing(B12_3_2))
% 27.19/4.32 -> [117] ~=(B12_3_2, B12_3_2)
% 27.19/4.32 -> [118] ~cowlThing(B12_3_2)
% 27.19/4.32
% 27.19/4.32 [117] CLOSURE : ~=(B12_3_2, B12_3_2)
% 27.19/4.32
% 27.19/4.32 [118] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [123] ((=(B14_3_3, B14_3_3) & rp(B14_3_3, C15_3_3)) => rp(B14_3_3, C15_3_3))
% 27.19/4.32
% 27.19/4.32 [123] BETA_IMPLY : ((=(B14_3_3, B14_3_3) & rp(B14_3_3, C15_3_3)) => rp(B14_3_3, C15_3_3))
% 27.19/4.32 -> [128] ~(=(B14_3_3, B14_3_3) & rp(B14_3_3, C15_3_3))
% 27.19/4.32 -> [129] rp(B14_3_3, C15_3_3)
% 27.19/4.32
% 27.19/4.32 [129] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [161] ((=(B17_1_4, B17_1_4) & rp(C18_1_4, B17_1_4)) => rp(C18_1_4, B17_1_4))
% 27.19/4.32
% 27.19/4.32 [161] BETA_IMPLY : ((=(B17_1_4, B17_1_4) & rp(C18_1_4, B17_1_4)) => rp(C18_1_4, B17_1_4))
% 27.19/4.32 -> [163] ~(=(B17_1_4, B17_1_4) & rp(C18_1_4, B17_1_4))
% 27.19/4.32 -> [164] rp(C18_1_4, B17_1_4)
% 27.19/4.32
% 27.19/4.32 [164] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [743] ((=(B20_23_5, B20_23_5) & xsd_integer(B20_23_5)) => xsd_integer(B20_23_5))
% 27.19/4.32
% 27.19/4.32 [743] BETA_IMPLY : ((=(B20_23_5, B20_23_5) & xsd_integer(B20_23_5)) => xsd_integer(B20_23_5))
% 27.19/4.32 -> [744] ~(=(B20_23_5, B20_23_5) & xsd_integer(B20_23_5))
% 27.19/4.32 -> [745] xsd_integer(B20_23_5)
% 27.19/4.32
% 27.19/4.32 [744] BETA_NOT_AND : ~(=(B20_23_5, B20_23_5) & xsd_integer(B20_23_5))
% 27.19/4.32 -> [784] ~=(B20_23_5, B20_23_5)
% 27.19/4.32 -> [785] ~xsd_integer(B20_23_5)
% 27.19/4.32
% 27.19/4.32 [784] CLOSURE : ~=(B20_23_5, B20_23_5)
% 27.19/4.32
% 27.19/4.32 [785] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [926] ((=(B22_33_6, B22_33_6) & xsd_string(B22_33_6)) => xsd_string(B22_33_6))
% 27.19/4.32
% 27.19/4.32 [926] BETA_IMPLY : ((=(B22_33_6, B22_33_6) & xsd_string(B22_33_6)) => xsd_string(B22_33_6))
% 27.19/4.32 -> [927] ~(=(B22_33_6, B22_33_6) & xsd_string(B22_33_6))
% 27.19/4.32 -> [928] xsd_string(B22_33_6)
% 27.19/4.32
% 27.19/4.32 [928] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [955] (cowlThing(X23_48_7) & ~cowlNothing(X23_48_7))
% 27.19/4.32
% 27.19/4.32 [955] ALPHA_AND : (cowlThing(X23_48_7) & ~cowlNothing(X23_48_7))
% 27.19/4.32 -> [956] cowlThing(X23_48_7), ~cowlNothing(X23_48_7)
% 27.19/4.32
% 27.19/4.32 [956] CLOSURE : cowlThing(X23_48_7)
% 27.19/4.32
% 27.19/4.32 [927] BETA_NOT_AND : ~(=(B22_33_6, B22_33_6) & xsd_string(B22_33_6))
% 27.19/4.32 -> [943] ~=(B22_33_6, B22_33_6)
% 27.19/4.32 -> [944] ~xsd_string(B22_33_6)
% 27.19/4.32
% 27.19/4.32 [943] CLOSURE : ~=(B22_33_6, B22_33_6)
% 27.19/4.32
% 27.19/4.32 [944] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [963] (cowlThing(X23_50_7) & ~cowlNothing(X23_50_7))
% 27.19/4.32
% 27.19/4.32 [963] ALPHA_AND : (cowlThing(X23_50_7) & ~cowlNothing(X23_50_7))
% 27.19/4.32 -> [965] cowlThing(X23_50_7), ~cowlNothing(X23_50_7)
% 27.19/4.32
% 27.19/4.32 [965] CLOSURE : cowlThing(X23_50_7)
% 27.19/4.32
% 27.19/4.32 [745] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [920] ((=(B22_32_6, B22_32_6) & xsd_string(B22_32_6)) => xsd_string(B22_32_6))
% 27.19/4.32
% 27.19/4.32 [920] BETA_IMPLY : ((=(B22_32_6, B22_32_6) & xsd_string(B22_32_6)) => xsd_string(B22_32_6))
% 27.19/4.32 -> [924] ~(=(B22_32_6, B22_32_6) & xsd_string(B22_32_6))
% 27.19/4.32 -> [925] xsd_string(B22_32_6)
% 27.19/4.32
% 27.19/4.32 [925] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [973] (cowlThing(X23_55_7) & ~cowlNothing(X23_55_7))
% 27.19/4.32
% 27.19/4.32 [973] ALPHA_AND : (cowlThing(X23_55_7) & ~cowlNothing(X23_55_7))
% 27.19/4.32 -> [976] cowlThing(X23_55_7), ~cowlNothing(X23_55_7)
% 27.19/4.32
% 27.19/4.32 [976] CLOSURE : cowlThing(X23_55_7)
% 27.19/4.32
% 27.19/4.32 [924] BETA_NOT_AND : ~(=(B22_32_6, B22_32_6) & xsd_string(B22_32_6))
% 27.19/4.32 -> [945] ~=(B22_32_6, B22_32_6)
% 27.19/4.32 -> [946] ~xsd_string(B22_32_6)
% 27.19/4.32
% 27.19/4.32 [945] CLOSURE : ~=(B22_32_6, B22_32_6)
% 27.19/4.32
% 27.19/4.32 [946] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1013] (cowlThing(X23_58_7) & ~cowlNothing(X23_58_7))
% 27.19/4.32
% 27.19/4.32 [1013] ALPHA_AND : (cowlThing(X23_58_7) & ~cowlNothing(X23_58_7))
% 27.19/4.32 -> [1014] cowlThing(X23_58_7), ~cowlNothing(X23_58_7)
% 27.19/4.32
% 27.19/4.32 [1014] CLOSURE : cowlThing(X23_58_7)
% 27.19/4.32
% 27.19/4.32 [163] BETA_NOT_AND : ~(=(B17_1_4, B17_1_4) & rp(C18_1_4, B17_1_4))
% 27.19/4.32 -> [180] ~=(B17_1_4, B17_1_4)
% 27.19/4.32 -> [181] ~rp(C18_1_4, B17_1_4)
% 27.19/4.32
% 27.19/4.32 [180] CLOSURE : ~=(B17_1_4, B17_1_4)
% 27.19/4.32
% 27.19/4.32 [181] CLOSURE : ~rp(C18_1_4, B17_1_4)
% 27.19/4.32
% 27.19/4.32 [128] BETA_NOT_AND : ~(=(B14_3_3, B14_3_3) & rp(B14_3_3, C15_3_3))
% 27.19/4.32 -> [1301] ~=(B14_3_3, B14_3_3)
% 27.19/4.32 -> [1302] ~rp(B14_3_3, C15_3_3)
% 27.19/4.32
% 27.19/4.32 [1301] CLOSURE : ~=(B14_3_3, B14_3_3)
% 27.19/4.32
% 27.19/4.32 [1302] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1307] ((=(B17_46_4, B17_46_4) & rp(C18_46_4, B17_46_4)) => rp(C18_46_4, B17_46_4))
% 27.19/4.32
% 27.19/4.32 [1307] BETA_IMPLY : ((=(B17_46_4, B17_46_4) & rp(C18_46_4, B17_46_4)) => rp(C18_46_4, B17_46_4))
% 27.19/4.32 -> [1308] ~(=(B17_46_4, B17_46_4) & rp(C18_46_4, B17_46_4))
% 27.19/4.32 -> [1309] rp(C18_46_4, B17_46_4)
% 27.19/4.32
% 27.19/4.32 [1308] BETA_NOT_AND : ~(=(B17_46_4, B17_46_4) & rp(C18_46_4, B17_46_4))
% 27.19/4.32 -> [1323] ~=(B17_46_4, B17_46_4)
% 27.19/4.32 -> [1324] ~rp(C18_46_4, B17_46_4)
% 27.19/4.32
% 27.19/4.32 [1323] CLOSURE : ~=(B17_46_4, B17_46_4)
% 27.19/4.32
% 27.19/4.32 [1324] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1329] ((=(B20_40_5, B20_40_5) & xsd_integer(B20_40_5)) => xsd_integer(B20_40_5))
% 27.19/4.32
% 27.19/4.32 [1329] BETA_IMPLY : ((=(B20_40_5, B20_40_5) & xsd_integer(B20_40_5)) => xsd_integer(B20_40_5))
% 27.19/4.32 -> [1332] ~(=(B20_40_5, B20_40_5) & xsd_integer(B20_40_5))
% 27.19/4.32 -> [1333] xsd_integer(B20_40_5)
% 27.19/4.32
% 27.19/4.32 [1332] BETA_NOT_AND : ~(=(B20_40_5, B20_40_5) & xsd_integer(B20_40_5))
% 27.19/4.32 -> [1350] ~=(B20_40_5, B20_40_5)
% 27.19/4.32 -> [1351] ~xsd_integer(B20_40_5)
% 27.19/4.32
% 27.19/4.32 [1350] CLOSURE : ~=(B20_40_5, B20_40_5)
% 27.19/4.32
% 27.19/4.32 [1351] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1361] ((=(B22_61_6, B22_61_6) & xsd_string(B22_61_6)) => xsd_string(B22_61_6))
% 27.19/4.32
% 27.19/4.32 [1361] BETA_IMPLY : ((=(B22_61_6, B22_61_6) & xsd_string(B22_61_6)) => xsd_string(B22_61_6))
% 27.19/4.32 -> [1362] ~(=(B22_61_6, B22_61_6) & xsd_string(B22_61_6))
% 27.19/4.32 -> [1363] xsd_string(B22_61_6)
% 27.19/4.32
% 27.19/4.32 [1362] BETA_NOT_AND : ~(=(B22_61_6, B22_61_6) & xsd_string(B22_61_6))
% 27.19/4.32 -> [1375] ~=(B22_61_6, B22_61_6)
% 27.19/4.32 -> [1376] ~xsd_string(B22_61_6)
% 27.19/4.32
% 27.19/4.32 [1375] CLOSURE : ~=(B22_61_6, B22_61_6)
% 27.19/4.32
% 27.19/4.32 [1376] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1383] (cowlThing(X23_91_7) & ~cowlNothing(X23_91_7))
% 27.19/4.32
% 27.19/4.32 [1383] ALPHA_AND : (cowlThing(X23_91_7) & ~cowlNothing(X23_91_7))
% 27.19/4.32 -> [1385] cowlThing(X23_91_7), ~cowlNothing(X23_91_7)
% 27.19/4.32
% 27.19/4.32 [1385] CLOSURE : cowlThing(X23_91_7)
% 27.19/4.32
% 27.19/4.32 [1363] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1421] (cowlThing(X23_97_7) & ~cowlNothing(X23_97_7))
% 27.19/4.32
% 27.19/4.32 [1421] ALPHA_AND : (cowlThing(X23_97_7) & ~cowlNothing(X23_97_7))
% 27.19/4.32 -> [1422] cowlThing(X23_97_7), ~cowlNothing(X23_97_7)
% 27.19/4.32
% 27.19/4.32 [1422] CLOSURE : cowlThing(X23_97_7)
% 27.19/4.32
% 27.19/4.32 [1333] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1406] ((=(B22_63_6, B22_63_6) & xsd_string(B22_63_6)) => xsd_string(B22_63_6))
% 27.19/4.32
% 27.19/4.32 [1406] BETA_IMPLY : ((=(B22_63_6, B22_63_6) & xsd_string(B22_63_6)) => xsd_string(B22_63_6))
% 27.19/4.32 -> [1408] ~(=(B22_63_6, B22_63_6) & xsd_string(B22_63_6))
% 27.19/4.32 -> [1409] xsd_string(B22_63_6)
% 27.19/4.32
% 27.19/4.32 [1409] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1449] (cowlThing(X23_101_7) & ~cowlNothing(X23_101_7))
% 27.19/4.32
% 27.19/4.32 [1449] ALPHA_AND : (cowlThing(X23_101_7) & ~cowlNothing(X23_101_7))
% 27.19/4.32 -> [1450] cowlThing(X23_101_7), ~cowlNothing(X23_101_7)
% 27.19/4.32
% 27.19/4.32 [1450] CLOSURE : cowlThing(X23_101_7)
% 27.19/4.32
% 27.19/4.32 [1408] BETA_NOT_AND : ~(=(B22_63_6, B22_63_6) & xsd_string(B22_63_6))
% 27.19/4.32 -> [1430] ~=(B22_63_6, B22_63_6)
% 27.19/4.32 -> [1431] ~xsd_string(B22_63_6)
% 27.19/4.32
% 27.19/4.32 [1430] CLOSURE : ~=(B22_63_6, B22_63_6)
% 27.19/4.32
% 27.19/4.32 [1431] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1468] (cowlThing(X23_102_7) & ~cowlNothing(X23_102_7))
% 27.19/4.32
% 27.19/4.32 [1468] ALPHA_AND : (cowlThing(X23_102_7) & ~cowlNothing(X23_102_7))
% 27.19/4.32 -> [1471] cowlThing(X23_102_7), ~cowlNothing(X23_102_7)
% 27.19/4.32
% 27.19/4.32 [1471] CLOSURE : cowlThing(X23_102_7)
% 27.19/4.32
% 27.19/4.32 [1309] CLOSURE : rp(C18_46_4, B17_46_4)
% 27.19/4.32
% 27.19/4.32 [112] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [126] ((=(B14_4_3, B14_4_3) & rp(B14_4_3, C15_4_3)) => rp(B14_4_3, C15_4_3))
% 27.19/4.32
% 27.19/4.32 [126] BETA_IMPLY : ((=(B14_4_3, B14_4_3) & rp(B14_4_3, C15_4_3)) => rp(B14_4_3, C15_4_3))
% 27.19/4.32 -> [131] ~(=(B14_4_3, B14_4_3) & rp(B14_4_3, C15_4_3))
% 27.19/4.32 -> [132] rp(B14_4_3, C15_4_3)
% 27.19/4.32
% 27.19/4.32 [132] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [152] ((=(B17_0_4, B17_0_4) & rp(C18_0_4, B17_0_4)) => rp(C18_0_4, B17_0_4))
% 27.19/4.32
% 27.19/4.32 [152] BETA_IMPLY : ((=(B17_0_4, B17_0_4) & rp(C18_0_4, B17_0_4)) => rp(C18_0_4, B17_0_4))
% 27.19/4.32 -> [339] ~(=(B17_0_4, B17_0_4) & rp(C18_0_4, B17_0_4))
% 27.19/4.32 -> [340] rp(C18_0_4, B17_0_4)
% 27.19/4.32
% 27.19/4.32 [339] BETA_NOT_AND : ~(=(B17_0_4, B17_0_4) & rp(C18_0_4, B17_0_4))
% 27.19/4.32 -> [356] ~=(B17_0_4, B17_0_4)
% 27.19/4.32 -> [357] ~rp(C18_0_4, B17_0_4)
% 27.19/4.32
% 27.19/4.32 [357] CLOSURE : ~rp(C18_0_4, B17_0_4)
% 27.19/4.32
% 27.19/4.32 [356] CLOSURE : ~=(B17_0_4, B17_0_4)
% 27.19/4.32
% 27.19/4.32 [340] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [391] ((=(B20_9_5, B20_9_5) & xsd_integer(B20_9_5)) => xsd_integer(B20_9_5))
% 27.19/4.32
% 27.19/4.32 [391] BETA_IMPLY : ((=(B20_9_5, B20_9_5) & xsd_integer(B20_9_5)) => xsd_integer(B20_9_5))
% 27.19/4.32 -> [394] ~(=(B20_9_5, B20_9_5) & xsd_integer(B20_9_5))
% 27.19/4.32 -> [395] xsd_integer(B20_9_5)
% 27.19/4.32
% 27.19/4.32 [394] BETA_NOT_AND : ~(=(B20_9_5, B20_9_5) & xsd_integer(B20_9_5))
% 27.19/4.32 -> [398] ~=(B20_9_5, B20_9_5)
% 27.19/4.32 -> [399] ~xsd_integer(B20_9_5)
% 27.19/4.32
% 27.19/4.32 [398] CLOSURE : ~=(B20_9_5, B20_9_5)
% 27.19/4.32
% 27.19/4.32 [399] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [417] ((=(B22_8_6, B22_8_6) & xsd_string(B22_8_6)) => xsd_string(B22_8_6))
% 27.19/4.32
% 27.19/4.32 [417] BETA_IMPLY : ((=(B22_8_6, B22_8_6) & xsd_string(B22_8_6)) => xsd_string(B22_8_6))
% 27.19/4.32 -> [419] ~(=(B22_8_6, B22_8_6) & xsd_string(B22_8_6))
% 27.19/4.32 -> [420] xsd_string(B22_8_6)
% 27.19/4.32
% 27.19/4.32 [420] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [475] (cowlThing(X23_9_7) & ~cowlNothing(X23_9_7))
% 27.19/4.32
% 27.19/4.32 [475] ALPHA_AND : (cowlThing(X23_9_7) & ~cowlNothing(X23_9_7))
% 27.19/4.32 -> [477] cowlThing(X23_9_7), ~cowlNothing(X23_9_7)
% 27.19/4.32
% 27.19/4.32 [477] CLOSURE : ~cowlNothing(X23_9_7)
% 27.19/4.32
% 27.19/4.32 [419] BETA_NOT_AND : ~(=(B22_8_6, B22_8_6) & xsd_string(B22_8_6))
% 27.19/4.32 -> [439] ~=(B22_8_6, B22_8_6)
% 27.19/4.32 -> [440] ~xsd_string(B22_8_6)
% 27.19/4.32
% 27.19/4.32 [439] CLOSURE : ~=(B22_8_6, B22_8_6)
% 27.19/4.32
% 27.19/4.32 [440] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [484] (cowlThing(X23_10_7) & ~cowlNothing(X23_10_7))
% 27.19/4.32
% 27.19/4.32 [484] ALPHA_AND : (cowlThing(X23_10_7) & ~cowlNothing(X23_10_7))
% 27.19/4.32 -> [485] cowlThing(X23_10_7), ~cowlNothing(X23_10_7)
% 27.19/4.32
% 27.19/4.32 [485] CLOSURE : ~cowlNothing(X23_10_7)
% 27.19/4.32
% 27.19/4.32 [395] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [446] ((=(B22_12_6, B22_12_6) & xsd_string(B22_12_6)) => xsd_string(B22_12_6))
% 27.19/4.32
% 27.19/4.32 [446] BETA_IMPLY : ((=(B22_12_6, B22_12_6) & xsd_string(B22_12_6)) => xsd_string(B22_12_6))
% 27.19/4.32 -> [447] ~(=(B22_12_6, B22_12_6) & xsd_string(B22_12_6))
% 27.19/4.32 -> [448] xsd_string(B22_12_6)
% 27.19/4.32
% 27.19/4.32 [448] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [536] (cowlThing(X23_14_7) & ~cowlNothing(X23_14_7))
% 27.19/4.32
% 27.19/4.32 [536] ALPHA_AND : (cowlThing(X23_14_7) & ~cowlNothing(X23_14_7))
% 27.19/4.32 -> [538] cowlThing(X23_14_7), ~cowlNothing(X23_14_7)
% 27.19/4.32
% 27.19/4.32 [538] CLOSURE : ~cowlNothing(X23_14_7)
% 27.19/4.32
% 27.19/4.32 [447] BETA_NOT_AND : ~(=(B22_12_6, B22_12_6) & xsd_string(B22_12_6))
% 27.19/4.32 -> [489] ~=(B22_12_6, B22_12_6)
% 27.19/4.32 -> [490] ~xsd_string(B22_12_6)
% 27.19/4.32
% 27.19/4.32 [490] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [571] (cowlThing(X23_18_7) & ~cowlNothing(X23_18_7))
% 27.19/4.32
% 27.19/4.32 [571] ALPHA_AND : (cowlThing(X23_18_7) & ~cowlNothing(X23_18_7))
% 27.19/4.32 -> [572] cowlThing(X23_18_7), ~cowlNothing(X23_18_7)
% 27.19/4.32
% 27.19/4.32 [572] CLOSURE : ~cowlNothing(X23_18_7)
% 27.19/4.32
% 27.19/4.32 [489] CLOSURE : ~=(B22_12_6, B22_12_6)
% 27.19/4.32
% 27.19/4.32 [131] BETA_NOT_AND : ~(=(B14_4_3, B14_4_3) & rp(B14_4_3, C15_4_3))
% 27.19/4.32 -> [146] ~=(B14_4_3, B14_4_3)
% 27.19/4.32 -> [147] ~rp(B14_4_3, C15_4_3)
% 27.19/4.32
% 27.19/4.32 [146] CLOSURE : ~=(B14_4_3, B14_4_3)
% 27.19/4.32
% 27.19/4.32 [147] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [465] ((=(B17_20_4, B17_20_4) & rp(C18_20_4, B17_20_4)) => rp(C18_20_4, B17_20_4))
% 27.19/4.32
% 27.19/4.32 [465] BETA_IMPLY : ((=(B17_20_4, B17_20_4) & rp(C18_20_4, B17_20_4)) => rp(C18_20_4, B17_20_4))
% 27.19/4.32 -> [468] ~(=(B17_20_4, B17_20_4) & rp(C18_20_4, B17_20_4))
% 27.19/4.32 -> [469] rp(C18_20_4, B17_20_4)
% 27.19/4.32
% 27.19/4.32 [468] BETA_NOT_AND : ~(=(B17_20_4, B17_20_4) & rp(C18_20_4, B17_20_4))
% 27.19/4.32 -> [496] ~=(B17_20_4, B17_20_4)
% 27.19/4.32 -> [497] ~rp(C18_20_4, B17_20_4)
% 27.19/4.32
% 27.19/4.32 [496] CLOSURE : ~=(B17_20_4, B17_20_4)
% 27.19/4.32
% 27.19/4.32 [497] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1669] ((=(B20_54_5, B20_54_5) & xsd_integer(B20_54_5)) => xsd_integer(B20_54_5))
% 27.19/4.32
% 27.19/4.32 [1669] BETA_IMPLY : ((=(B20_54_5, B20_54_5) & xsd_integer(B20_54_5)) => xsd_integer(B20_54_5))
% 27.19/4.32 -> [1670] ~(=(B20_54_5, B20_54_5) & xsd_integer(B20_54_5))
% 27.19/4.32 -> [1671] xsd_integer(B20_54_5)
% 27.19/4.32
% 27.19/4.32 [1671] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1736] ((=(B22_81_6, B22_81_6) & xsd_string(B22_81_6)) => xsd_string(B22_81_6))
% 27.19/4.32
% 27.19/4.32 [1736] BETA_IMPLY : ((=(B22_81_6, B22_81_6) & xsd_string(B22_81_6)) => xsd_string(B22_81_6))
% 27.19/4.32 -> [1737] ~(=(B22_81_6, B22_81_6) & xsd_string(B22_81_6))
% 27.19/4.32 -> [1738] xsd_string(B22_81_6)
% 27.19/4.32
% 27.19/4.32 [1737] BETA_NOT_AND : ~(=(B22_81_6, B22_81_6) & xsd_string(B22_81_6))
% 27.19/4.32 -> [1749] ~=(B22_81_6, B22_81_6)
% 27.19/4.32 -> [1750] ~xsd_string(B22_81_6)
% 27.19/4.32
% 27.19/4.32 [1749] CLOSURE : ~=(B22_81_6, B22_81_6)
% 27.19/4.32
% 27.19/4.32 [1750] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1787] (cowlThing(X23_140_7) & ~cowlNothing(X23_140_7))
% 27.19/4.32
% 27.19/4.32 [1787] ALPHA_AND : (cowlThing(X23_140_7) & ~cowlNothing(X23_140_7))
% 27.19/4.32 -> [1789] cowlThing(X23_140_7), ~cowlNothing(X23_140_7)
% 27.19/4.32
% 27.19/4.32 [1789] CLOSURE : ~cowlNothing(X23_140_7)
% 27.19/4.32
% 27.19/4.32 [1738] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1774] (cowlThing(X23_137_7) & ~cowlNothing(X23_137_7))
% 27.19/4.32
% 27.19/4.32 [1774] ALPHA_AND : (cowlThing(X23_137_7) & ~cowlNothing(X23_137_7))
% 27.19/4.32 -> [1775] cowlThing(X23_137_7), ~cowlNothing(X23_137_7)
% 27.19/4.32
% 27.19/4.32 [1775] CLOSURE : ~cowlNothing(X23_137_7)
% 27.19/4.32
% 27.19/4.32 [1670] BETA_NOT_AND : ~(=(B20_54_5, B20_54_5) & xsd_integer(B20_54_5))
% 27.19/4.32 -> [1713] ~=(B20_54_5, B20_54_5)
% 27.19/4.32 -> [1714] ~xsd_integer(B20_54_5)
% 27.19/4.32
% 27.19/4.32 [1713] CLOSURE : ~=(B20_54_5, B20_54_5)
% 27.19/4.32
% 27.19/4.32 [1714] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1742] ((=(B22_82_6, B22_82_6) & xsd_string(B22_82_6)) => xsd_string(B22_82_6))
% 27.19/4.32
% 27.19/4.32 [1742] BETA_IMPLY : ((=(B22_82_6, B22_82_6) & xsd_string(B22_82_6)) => xsd_string(B22_82_6))
% 27.19/4.32 -> [1744] ~(=(B22_82_6, B22_82_6) & xsd_string(B22_82_6))
% 27.19/4.32 -> [1745] xsd_string(B22_82_6)
% 27.19/4.32
% 27.19/4.32 [1745] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1776] (cowlThing(X23_138_7) & ~cowlNothing(X23_138_7))
% 27.19/4.32
% 27.19/4.32 [1776] ALPHA_AND : (cowlThing(X23_138_7) & ~cowlNothing(X23_138_7))
% 27.19/4.32 -> [1777] cowlThing(X23_138_7), ~cowlNothing(X23_138_7)
% 27.19/4.32
% 27.19/4.32 [1777] CLOSURE : ~cowlNothing(X23_138_7)
% 27.19/4.32
% 27.19/4.32 [1744] BETA_NOT_AND : ~(=(B22_82_6, B22_82_6) & xsd_string(B22_82_6))
% 27.19/4.32 -> [1754] ~=(B22_82_6, B22_82_6)
% 27.19/4.32 -> [1755] ~xsd_string(B22_82_6)
% 27.19/4.32
% 27.19/4.32 [1754] CLOSURE : ~=(B22_82_6, B22_82_6)
% 27.19/4.32
% 27.19/4.32 [1755] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1794] (cowlThing(X23_141_7) & ~cowlNothing(X23_141_7))
% 27.19/4.32
% 27.19/4.32 [1794] ALPHA_AND : (cowlThing(X23_141_7) & ~cowlNothing(X23_141_7))
% 27.19/4.32 -> [1795] cowlThing(X23_141_7), ~cowlNothing(X23_141_7)
% 27.19/4.32
% 27.19/4.32 [1795] CLOSURE : ~cowlNothing(X23_141_7)
% 27.19/4.32
% 27.19/4.32 [469] CLOSURE : rp(C18_20_4, B17_20_4)
% 27.19/4.32
% 27.19/4.32 [26] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [54] ((=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131)) => cowlNothing(skolem_X3131))
% 27.19/4.32
% 27.19/4.32 [54] BETA_IMPLY : ((=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131)) => cowlNothing(skolem_X3131))
% 27.19/4.32 -> [60] ~(=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131))
% 27.19/4.32 -> [61] cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [60] BETA_NOT_AND : ~(=(skolem_X3131, skolem_X3131) & cowlNothing(skolem_X3131))
% 27.19/4.32 -> [70] ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32 -> [71] ~cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [71] CLOSURE : ~cowlNothing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [70] CLOSURE : ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [61] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [137] ((=(B12_10_2, B12_10_2) & cowlThing(B12_10_2)) => cowlThing(B12_10_2))
% 27.19/4.32
% 27.19/4.32 [137] BETA_IMPLY : ((=(B12_10_2, B12_10_2) & cowlThing(B12_10_2)) => cowlThing(B12_10_2))
% 27.19/4.32 -> [140] ~(=(B12_10_2, B12_10_2) & cowlThing(B12_10_2))
% 27.19/4.32 -> [141] cowlThing(B12_10_2)
% 27.19/4.32
% 27.19/4.32 [141] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [347] ((=(B14_13_3, B14_13_3) & rp(B14_13_3, C15_13_3)) => rp(B14_13_3, C15_13_3))
% 27.19/4.32
% 27.19/4.32 [347] BETA_IMPLY : ((=(B14_13_3, B14_13_3) & rp(B14_13_3, C15_13_3)) => rp(B14_13_3, C15_13_3))
% 27.19/4.32 -> [350] ~(=(B14_13_3, B14_13_3) & rp(B14_13_3, C15_13_3))
% 27.19/4.32 -> [351] rp(B14_13_3, C15_13_3)
% 27.19/4.32
% 27.19/4.32 [351] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [389] ((=(B17_16_4, B17_16_4) & rp(C18_16_4, B17_16_4)) => rp(C18_16_4, B17_16_4))
% 27.19/4.32
% 27.19/4.32 [389] BETA_IMPLY : ((=(B17_16_4, B17_16_4) & rp(C18_16_4, B17_16_4)) => rp(C18_16_4, B17_16_4))
% 27.19/4.32 -> [396] ~(=(B17_16_4, B17_16_4) & rp(C18_16_4, B17_16_4))
% 27.19/4.32 -> [397] rp(C18_16_4, B17_16_4)
% 27.19/4.32
% 27.19/4.32 [396] BETA_NOT_AND : ~(=(B17_16_4, B17_16_4) & rp(C18_16_4, B17_16_4))
% 27.19/4.32 -> [415] ~=(B17_16_4, B17_16_4)
% 27.19/4.32 -> [416] ~rp(C18_16_4, B17_16_4)
% 27.19/4.32
% 27.19/4.32 [415] CLOSURE : ~=(B17_16_4, B17_16_4)
% 27.19/4.32
% 27.19/4.32 [416] CLOSURE : ~rp(C18_16_4, B17_16_4)
% 27.19/4.32
% 27.19/4.32 [397] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [546] ((=(B20_13_5, B20_13_5) & xsd_integer(B20_13_5)) => xsd_integer(B20_13_5))
% 27.19/4.32
% 27.19/4.32 [546] BETA_IMPLY : ((=(B20_13_5, B20_13_5) & xsd_integer(B20_13_5)) => xsd_integer(B20_13_5))
% 27.19/4.32 -> [550] ~(=(B20_13_5, B20_13_5) & xsd_integer(B20_13_5))
% 27.19/4.32 -> [551] xsd_integer(B20_13_5)
% 27.19/4.32
% 27.19/4.32 [551] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1553] ((=(B22_68_6, B22_68_6) & xsd_string(B22_68_6)) => xsd_string(B22_68_6))
% 27.19/4.32
% 27.19/4.32 [1553] BETA_IMPLY : ((=(B22_68_6, B22_68_6) & xsd_string(B22_68_6)) => xsd_string(B22_68_6))
% 27.19/4.32 -> [1554] ~(=(B22_68_6, B22_68_6) & xsd_string(B22_68_6))
% 27.19/4.32 -> [1555] xsd_string(B22_68_6)
% 27.19/4.32
% 27.19/4.32 [1555] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1610] (cowlThing(X23_113_7) & ~cowlNothing(X23_113_7))
% 27.19/4.32
% 27.19/4.32 [1610] ALPHA_AND : (cowlThing(X23_113_7) & ~cowlNothing(X23_113_7))
% 27.19/4.32 -> [1611] cowlThing(X23_113_7), ~cowlNothing(X23_113_7)
% 27.19/4.32
% 27.19/4.32 [1611] CLOSURE : ~cowlNothing(X23_113_7)
% 27.19/4.32
% 27.19/4.32 [1554] BETA_NOT_AND : ~(=(B22_68_6, B22_68_6) & xsd_string(B22_68_6))
% 27.19/4.32 -> [1587] ~=(B22_68_6, B22_68_6)
% 27.19/4.32 -> [1588] ~xsd_string(B22_68_6)
% 27.19/4.32
% 27.19/4.32 [1587] CLOSURE : ~=(B22_68_6, B22_68_6)
% 27.19/4.32
% 27.19/4.32 [1588] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1696] (cowlThing(X23_125_7) & ~cowlNothing(X23_125_7))
% 27.19/4.32
% 27.19/4.32 [1696] ALPHA_AND : (cowlThing(X23_125_7) & ~cowlNothing(X23_125_7))
% 27.19/4.32 -> [1697] cowlThing(X23_125_7), ~cowlNothing(X23_125_7)
% 27.19/4.32
% 27.19/4.32 [1697] CLOSURE : ~cowlNothing(X23_125_7)
% 27.19/4.32
% 27.19/4.32 [550] BETA_NOT_AND : ~(=(B20_13_5, B20_13_5) & xsd_integer(B20_13_5))
% 27.19/4.32 -> [557] ~=(B20_13_5, B20_13_5)
% 27.19/4.32 -> [558] ~xsd_integer(B20_13_5)
% 27.19/4.32
% 27.19/4.32 [557] CLOSURE : ~=(B20_13_5, B20_13_5)
% 27.19/4.32
% 27.19/4.32 [558] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1845] ((=(B22_90_6, B22_90_6) & xsd_string(B22_90_6)) => xsd_string(B22_90_6))
% 27.19/4.32
% 27.19/4.32 [1845] BETA_IMPLY : ((=(B22_90_6, B22_90_6) & xsd_string(B22_90_6)) => xsd_string(B22_90_6))
% 27.19/4.32 -> [1846] ~(=(B22_90_6, B22_90_6) & xsd_string(B22_90_6))
% 27.19/4.32 -> [1847] xsd_string(B22_90_6)
% 27.19/4.32
% 27.19/4.32 [1847] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1896] (cowlThing(X23_150_7) & ~cowlNothing(X23_150_7))
% 27.19/4.32
% 27.19/4.32 [1896] ALPHA_AND : (cowlThing(X23_150_7) & ~cowlNothing(X23_150_7))
% 27.19/4.32 -> [1897] cowlThing(X23_150_7), ~cowlNothing(X23_150_7)
% 27.19/4.32
% 27.19/4.32 [1897] CLOSURE : ~cowlNothing(X23_150_7)
% 27.19/4.32
% 27.19/4.32 [1846] BETA_NOT_AND : ~(=(B22_90_6, B22_90_6) & xsd_string(B22_90_6))
% 27.19/4.32 -> [1880] ~=(B22_90_6, B22_90_6)
% 27.19/4.32 -> [1881] ~xsd_string(B22_90_6)
% 27.19/4.32
% 27.19/4.32 [1881] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1919] (cowlThing(X23_154_7) & ~cowlNothing(X23_154_7))
% 27.19/4.32
% 27.19/4.32 [1919] ALPHA_AND : (cowlThing(X23_154_7) & ~cowlNothing(X23_154_7))
% 27.19/4.32 -> [1920] cowlThing(X23_154_7), ~cowlNothing(X23_154_7)
% 27.19/4.32
% 27.19/4.32 [1920] CLOSURE : ~cowlNothing(X23_154_7)
% 27.19/4.32
% 27.19/4.32 [1880] CLOSURE : ~=(B22_90_6, B22_90_6)
% 27.19/4.32
% 27.19/4.32 [350] BETA_NOT_AND : ~(=(B14_13_3, B14_13_3) & rp(B14_13_3, C15_13_3))
% 27.19/4.32 -> [363] ~=(B14_13_3, B14_13_3)
% 27.19/4.32 -> [364] ~rp(B14_13_3, C15_13_3)
% 27.19/4.32
% 27.19/4.32 [363] CLOSURE : ~=(B14_13_3, B14_13_3)
% 27.19/4.32
% 27.19/4.32 [364] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [407] ((=(B17_17_4, B17_17_4) & rp(C18_17_4, B17_17_4)) => rp(C18_17_4, B17_17_4))
% 27.19/4.32
% 27.19/4.32 [407] BETA_IMPLY : ((=(B17_17_4, B17_17_4) & rp(C18_17_4, B17_17_4)) => rp(C18_17_4, B17_17_4))
% 27.19/4.32 -> [409] ~(=(B17_17_4, B17_17_4) & rp(C18_17_4, B17_17_4))
% 27.19/4.32 -> [410] rp(C18_17_4, B17_17_4)
% 27.19/4.32
% 27.19/4.32 [409] BETA_NOT_AND : ~(=(B17_17_4, B17_17_4) & rp(C18_17_4, B17_17_4))
% 27.19/4.32 -> [426] ~=(B17_17_4, B17_17_4)
% 27.19/4.32 -> [427] ~rp(C18_17_4, B17_17_4)
% 27.19/4.32
% 27.19/4.32 [426] CLOSURE : ~=(B17_17_4, B17_17_4)
% 27.19/4.32
% 27.19/4.32 [427] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [451] ((=(B20_10_5, B20_10_5) & xsd_integer(B20_10_5)) => xsd_integer(B20_10_5))
% 27.19/4.32
% 27.19/4.32 [451] BETA_IMPLY : ((=(B20_10_5, B20_10_5) & xsd_integer(B20_10_5)) => xsd_integer(B20_10_5))
% 27.19/4.32 -> [454] ~(=(B20_10_5, B20_10_5) & xsd_integer(B20_10_5))
% 27.19/4.32 -> [455] xsd_integer(B20_10_5)
% 27.19/4.32
% 27.19/4.32 [455] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [493] ((=(B22_13_6, B22_13_6) & xsd_string(B22_13_6)) => xsd_string(B22_13_6))
% 27.19/4.32
% 27.19/4.32 [493] BETA_IMPLY : ((=(B22_13_6, B22_13_6) & xsd_string(B22_13_6)) => xsd_string(B22_13_6))
% 27.19/4.32 -> [494] ~(=(B22_13_6, B22_13_6) & xsd_string(B22_13_6))
% 27.19/4.32 -> [495] xsd_string(B22_13_6)
% 27.19/4.32
% 27.19/4.32 [495] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [537] (cowlThing(X23_15_7) & ~cowlNothing(X23_15_7))
% 27.19/4.32
% 27.19/4.32 [537] ALPHA_AND : (cowlThing(X23_15_7) & ~cowlNothing(X23_15_7))
% 27.19/4.32 -> [539] cowlThing(X23_15_7), ~cowlNothing(X23_15_7)
% 27.19/4.32
% 27.19/4.32 [539] CLOSURE : ~cowlNothing(X23_15_7)
% 27.19/4.32
% 27.19/4.32 [494] BETA_NOT_AND : ~(=(B22_13_6, B22_13_6) & xsd_string(B22_13_6))
% 27.19/4.32 -> [508] ~=(B22_13_6, B22_13_6)
% 27.19/4.32 -> [509] ~xsd_string(B22_13_6)
% 27.19/4.32
% 27.19/4.32 [508] CLOSURE : ~=(B22_13_6, B22_13_6)
% 27.19/4.32
% 27.19/4.32 [509] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1535] (cowlThing(X23_108_7) & ~cowlNothing(X23_108_7))
% 27.19/4.32
% 27.19/4.32 [1535] ALPHA_AND : (cowlThing(X23_108_7) & ~cowlNothing(X23_108_7))
% 27.19/4.32 -> [1536] cowlThing(X23_108_7), ~cowlNothing(X23_108_7)
% 27.19/4.32
% 27.19/4.32 [1536] CLOSURE : ~cowlNothing(X23_108_7)
% 27.19/4.32
% 27.19/4.32 [454] BETA_NOT_AND : ~(=(B20_10_5, B20_10_5) & xsd_integer(B20_10_5))
% 27.19/4.32 -> [466] ~=(B20_10_5, B20_10_5)
% 27.19/4.32 -> [467] ~xsd_integer(B20_10_5)
% 27.19/4.32
% 27.19/4.32 [466] CLOSURE : ~=(B20_10_5, B20_10_5)
% 27.19/4.32
% 27.19/4.32 [467] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [545] ((=(B22_14_6, B22_14_6) & xsd_string(B22_14_6)) => xsd_string(B22_14_6))
% 27.19/4.32
% 27.19/4.32 [545] BETA_IMPLY : ((=(B22_14_6, B22_14_6) & xsd_string(B22_14_6)) => xsd_string(B22_14_6))
% 27.19/4.32 -> [548] ~(=(B22_14_6, B22_14_6) & xsd_string(B22_14_6))
% 27.19/4.32 -> [549] xsd_string(B22_14_6)
% 27.19/4.32
% 27.19/4.32 [549] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1519] (cowlThing(X23_107_7) & ~cowlNothing(X23_107_7))
% 27.19/4.32
% 27.19/4.32 [1519] ALPHA_AND : (cowlThing(X23_107_7) & ~cowlNothing(X23_107_7))
% 27.19/4.32 -> [1520] cowlThing(X23_107_7), ~cowlNothing(X23_107_7)
% 27.19/4.32
% 27.19/4.32 [1520] CLOSURE : ~cowlNothing(X23_107_7)
% 27.19/4.32
% 27.19/4.32 [548] BETA_NOT_AND : ~(=(B22_14_6, B22_14_6) & xsd_string(B22_14_6))
% 27.19/4.32 -> [1523] ~=(B22_14_6, B22_14_6)
% 27.19/4.32 -> [1524] ~xsd_string(B22_14_6)
% 27.19/4.32
% 27.19/4.32 [1523] CLOSURE : ~=(B22_14_6, B22_14_6)
% 27.19/4.32
% 27.19/4.32 [1524] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1620] (cowlThing(X23_114_7) & ~cowlNothing(X23_114_7))
% 27.19/4.32
% 27.19/4.32 [1620] ALPHA_AND : (cowlThing(X23_114_7) & ~cowlNothing(X23_114_7))
% 27.19/4.32 -> [1621] cowlThing(X23_114_7), ~cowlNothing(X23_114_7)
% 27.19/4.32
% 27.19/4.32 [1621] CLOSURE : ~cowlNothing(X23_114_7)
% 27.19/4.32
% 27.19/4.32 [410] CLOSURE : rp(C18_17_4, B17_17_4)
% 27.19/4.32
% 27.19/4.32 [140] BETA_NOT_AND : ~(=(B12_10_2, B12_10_2) & cowlThing(B12_10_2))
% 27.19/4.32 -> [150] ~=(B12_10_2, B12_10_2)
% 27.19/4.32 -> [151] ~cowlThing(B12_10_2)
% 27.19/4.32
% 27.19/4.32 [150] CLOSURE : ~=(B12_10_2, B12_10_2)
% 27.19/4.32
% 27.19/4.32 [151] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [456] ((=(B14_18_3, B14_18_3) & rp(B14_18_3, C15_18_3)) => rp(B14_18_3, C15_18_3))
% 27.19/4.32
% 27.19/4.32 [456] BETA_IMPLY : ((=(B14_18_3, B14_18_3) & rp(B14_18_3, C15_18_3)) => rp(B14_18_3, C15_18_3))
% 27.19/4.32 -> [459] ~(=(B14_18_3, B14_18_3) & rp(B14_18_3, C15_18_3))
% 27.19/4.32 -> [460] rp(B14_18_3, C15_18_3)
% 27.19/4.32
% 27.19/4.32 [460] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [531] ((=(B17_26_4, B17_26_4) & rp(C18_26_4, B17_26_4)) => rp(C18_26_4, B17_26_4))
% 27.19/4.32
% 27.19/4.32 [531] BETA_IMPLY : ((=(B17_26_4, B17_26_4) & rp(C18_26_4, B17_26_4)) => rp(C18_26_4, B17_26_4))
% 27.19/4.32 -> [533] ~(=(B17_26_4, B17_26_4) & rp(C18_26_4, B17_26_4))
% 27.19/4.32 -> [534] rp(C18_26_4, B17_26_4)
% 27.19/4.32
% 27.19/4.32 [533] BETA_NOT_AND : ~(=(B17_26_4, B17_26_4) & rp(C18_26_4, B17_26_4))
% 27.19/4.32 -> [1538] ~=(B17_26_4, B17_26_4)
% 27.19/4.32 -> [1539] ~rp(C18_26_4, B17_26_4)
% 27.19/4.32
% 27.19/4.32 [1539] CLOSURE : ~rp(C18_26_4, B17_26_4)
% 27.19/4.32
% 27.19/4.32 [1538] CLOSURE : ~=(B17_26_4, B17_26_4)
% 27.19/4.32
% 27.19/4.32 [534] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1702] ((=(B20_56_5, B20_56_5) & xsd_integer(B20_56_5)) => xsd_integer(B20_56_5))
% 27.19/4.32
% 27.19/4.32 [1702] BETA_IMPLY : ((=(B20_56_5, B20_56_5) & xsd_integer(B20_56_5)) => xsd_integer(B20_56_5))
% 27.19/4.32 -> [1706] ~(=(B20_56_5, B20_56_5) & xsd_integer(B20_56_5))
% 27.19/4.32 -> [1707] xsd_integer(B20_56_5)
% 27.19/4.32
% 27.19/4.32 [1707] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1903] ((=(B22_95_6, B22_95_6) & xsd_string(B22_95_6)) => xsd_string(B22_95_6))
% 27.19/4.32
% 27.19/4.32 [1903] BETA_IMPLY : ((=(B22_95_6, B22_95_6) & xsd_string(B22_95_6)) => xsd_string(B22_95_6))
% 27.19/4.32 -> [1904] ~(=(B22_95_6, B22_95_6) & xsd_string(B22_95_6))
% 27.19/4.32 -> [1905] xsd_string(B22_95_6)
% 27.19/4.32
% 27.19/4.32 [1905] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1958] (cowlThing(X23_159_7) & ~cowlNothing(X23_159_7))
% 27.19/4.32
% 27.19/4.32 [1958] ALPHA_AND : (cowlThing(X23_159_7) & ~cowlNothing(X23_159_7))
% 27.19/4.32 -> [1965] cowlThing(X23_159_7), ~cowlNothing(X23_159_7)
% 27.19/4.32
% 27.19/4.32 [1965] CLOSURE : cowlThing(X23_159_7)
% 27.19/4.32
% 27.19/4.32 [1904] BETA_NOT_AND : ~(=(B22_95_6, B22_95_6) & xsd_string(B22_95_6))
% 27.19/4.32 -> [1915] ~=(B22_95_6, B22_95_6)
% 27.19/4.32 -> [1916] ~xsd_string(B22_95_6)
% 27.19/4.32
% 27.19/4.32 [1915] CLOSURE : ~=(B22_95_6, B22_95_6)
% 27.19/4.32
% 27.19/4.32 [1916] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1974] (cowlThing(X23_161_7) & ~cowlNothing(X23_161_7))
% 27.19/4.32
% 27.19/4.32 [1974] ALPHA_AND : (cowlThing(X23_161_7) & ~cowlNothing(X23_161_7))
% 27.19/4.32 -> [1976] cowlThing(X23_161_7), ~cowlNothing(X23_161_7)
% 27.19/4.32
% 27.19/4.32 [1976] CLOSURE : cowlThing(X23_161_7)
% 27.19/4.32
% 27.19/4.32 [1706] BETA_NOT_AND : ~(=(B20_56_5, B20_56_5) & xsd_integer(B20_56_5))
% 27.19/4.32 -> [1860] ~=(B20_56_5, B20_56_5)
% 27.19/4.32 -> [1861] ~xsd_integer(B20_56_5)
% 27.19/4.32
% 27.19/4.32 [1860] CLOSURE : ~=(B20_56_5, B20_56_5)
% 27.19/4.32
% 27.19/4.32 [1861] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1891] ((=(B22_94_6, B22_94_6) & xsd_string(B22_94_6)) => xsd_string(B22_94_6))
% 27.19/4.32
% 27.19/4.32 [1891] BETA_IMPLY : ((=(B22_94_6, B22_94_6) & xsd_string(B22_94_6)) => xsd_string(B22_94_6))
% 27.19/4.32 -> [1892] ~(=(B22_94_6, B22_94_6) & xsd_string(B22_94_6))
% 27.19/4.32 -> [1893] xsd_string(B22_94_6)
% 27.19/4.32
% 27.19/4.32 [1892] BETA_NOT_AND : ~(=(B22_94_6, B22_94_6) & xsd_string(B22_94_6))
% 27.19/4.32 -> [2057] ~=(B22_94_6, B22_94_6)
% 27.19/4.32 -> [2058] ~xsd_string(B22_94_6)
% 27.19/4.32
% 27.19/4.32 [2057] CLOSURE : ~=(B22_94_6, B22_94_6)
% 27.19/4.32
% 27.19/4.32 [2058] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2338] (cowlThing(X23_189_7) & ~cowlNothing(X23_189_7))
% 27.19/4.32
% 27.19/4.32 [2338] ALPHA_AND : (cowlThing(X23_189_7) & ~cowlNothing(X23_189_7))
% 27.19/4.32 -> [2341] cowlThing(X23_189_7), ~cowlNothing(X23_189_7)
% 27.19/4.32
% 27.19/4.32 [2341] CLOSURE : cowlThing(X23_189_7)
% 27.19/4.32
% 27.19/4.32 [1893] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2428] (cowlThing(X23_201_7) & ~cowlNothing(X23_201_7))
% 27.19/4.32
% 27.19/4.32 [2428] ALPHA_AND : (cowlThing(X23_201_7) & ~cowlNothing(X23_201_7))
% 27.19/4.32 -> [2430] cowlThing(X23_201_7), ~cowlNothing(X23_201_7)
% 27.19/4.32
% 27.19/4.32 [2430] CLOSURE : cowlThing(X23_201_7)
% 27.19/4.32
% 27.19/4.32 [459] BETA_NOT_AND : ~(=(B14_18_3, B14_18_3) & rp(B14_18_3, C15_18_3))
% 27.19/4.32 -> [491] ~=(B14_18_3, B14_18_3)
% 27.19/4.32 -> [492] ~rp(B14_18_3, C15_18_3)
% 27.19/4.32
% 27.19/4.32 [491] CLOSURE : ~=(B14_18_3, B14_18_3)
% 27.19/4.32
% 27.19/4.32 [492] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1325] ((=(B17_48_4, B17_48_4) & rp(C18_48_4, B17_48_4)) => rp(C18_48_4, B17_48_4))
% 27.19/4.32
% 27.19/4.32 [1325] BETA_IMPLY : ((=(B17_48_4, B17_48_4) & rp(C18_48_4, B17_48_4)) => rp(C18_48_4, B17_48_4))
% 27.19/4.32 -> [1326] ~(=(B17_48_4, B17_48_4) & rp(C18_48_4, B17_48_4))
% 27.19/4.32 -> [1327] rp(C18_48_4, B17_48_4)
% 27.19/4.32
% 27.19/4.32 [1327] CLOSURE : rp(C18_48_4, B17_48_4)
% 27.19/4.32
% 27.19/4.32 [1326] BETA_NOT_AND : ~(=(B17_48_4, B17_48_4) & rp(C18_48_4, B17_48_4))
% 27.19/4.32 -> [2059] ~=(B17_48_4, B17_48_4)
% 27.19/4.32 -> [2060] ~rp(C18_48_4, B17_48_4)
% 27.19/4.32
% 27.19/4.32 [2059] CLOSURE : ~=(B17_48_4, B17_48_4)
% 27.19/4.32
% 27.19/4.32 [2060] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2075] ((=(B20_66_5, B20_66_5) & xsd_integer(B20_66_5)) => xsd_integer(B20_66_5))
% 27.19/4.32
% 27.19/4.32 [2075] BETA_IMPLY : ((=(B20_66_5, B20_66_5) & xsd_integer(B20_66_5)) => xsd_integer(B20_66_5))
% 27.19/4.32 -> [2076] ~(=(B20_66_5, B20_66_5) & xsd_integer(B20_66_5))
% 27.19/4.32 -> [2077] xsd_integer(B20_66_5)
% 27.19/4.32
% 27.19/4.32 [2076] BETA_NOT_AND : ~(=(B20_66_5, B20_66_5) & xsd_integer(B20_66_5))
% 27.19/4.32 -> [2099] ~=(B20_66_5, B20_66_5)
% 27.19/4.32 -> [2100] ~xsd_integer(B20_66_5)
% 27.19/4.32
% 27.19/4.32 [2099] CLOSURE : ~=(B20_66_5, B20_66_5)
% 27.19/4.32
% 27.19/4.32 [2100] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2168] ((=(B22_107_6, B22_107_6) & xsd_string(B22_107_6)) => xsd_string(B22_107_6))
% 27.19/4.32
% 27.19/4.32 [2168] BETA_IMPLY : ((=(B22_107_6, B22_107_6) & xsd_string(B22_107_6)) => xsd_string(B22_107_6))
% 27.19/4.32 -> [2169] ~(=(B22_107_6, B22_107_6) & xsd_string(B22_107_6))
% 27.19/4.32 -> [2170] xsd_string(B22_107_6)
% 27.19/4.32
% 27.19/4.32 [2170] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2404] (cowlThing(X23_194_7) & ~cowlNothing(X23_194_7))
% 27.19/4.32
% 27.19/4.32 [2404] ALPHA_AND : (cowlThing(X23_194_7) & ~cowlNothing(X23_194_7))
% 27.19/4.32 -> [2405] cowlThing(X23_194_7), ~cowlNothing(X23_194_7)
% 27.19/4.32
% 27.19/4.32 [2405] CLOSURE : cowlThing(X23_194_7)
% 27.19/4.32
% 27.19/4.32 [2169] BETA_NOT_AND : ~(=(B22_107_6, B22_107_6) & xsd_string(B22_107_6))
% 27.19/4.32 -> [2209] ~=(B22_107_6, B22_107_6)
% 27.19/4.32 -> [2210] ~xsd_string(B22_107_6)
% 27.19/4.32
% 27.19/4.32 [2209] CLOSURE : ~=(B22_107_6, B22_107_6)
% 27.19/4.32
% 27.19/4.32 [2210] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2400] (cowlThing(X23_193_7) & ~cowlNothing(X23_193_7))
% 27.19/4.32
% 27.19/4.32 [2400] ALPHA_AND : (cowlThing(X23_193_7) & ~cowlNothing(X23_193_7))
% 27.19/4.32 -> [2401] cowlThing(X23_193_7), ~cowlNothing(X23_193_7)
% 27.19/4.32
% 27.19/4.32 [2401] CLOSURE : cowlThing(X23_193_7)
% 27.19/4.32
% 27.19/4.32 [2077] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2145] ((=(B22_106_6, B22_106_6) & xsd_string(B22_106_6)) => xsd_string(B22_106_6))
% 27.19/4.32
% 27.19/4.32 [2145] BETA_IMPLY : ((=(B22_106_6, B22_106_6) & xsd_string(B22_106_6)) => xsd_string(B22_106_6))
% 27.19/4.32 -> [2146] ~(=(B22_106_6, B22_106_6) & xsd_string(B22_106_6))
% 27.19/4.32 -> [2147] xsd_string(B22_106_6)
% 27.19/4.32
% 27.19/4.32 [2147] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2237] (cowlThing(X23_177_7) & ~cowlNothing(X23_177_7))
% 27.19/4.32
% 27.19/4.32 [2237] ALPHA_AND : (cowlThing(X23_177_7) & ~cowlNothing(X23_177_7))
% 27.19/4.32 -> [2238] cowlThing(X23_177_7), ~cowlNothing(X23_177_7)
% 27.19/4.32
% 27.19/4.32 [2238] CLOSURE : cowlThing(X23_177_7)
% 27.19/4.32
% 27.19/4.32 [2146] BETA_NOT_AND : ~(=(B22_106_6, B22_106_6) & xsd_string(B22_106_6))
% 27.19/4.32 -> [2180] ~=(B22_106_6, B22_106_6)
% 27.19/4.32 -> [2181] ~xsd_string(B22_106_6)
% 27.19/4.32
% 27.19/4.32 [2181] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2433] (cowlThing(X23_202_7) & ~cowlNothing(X23_202_7))
% 27.19/4.32
% 27.19/4.32 [2433] ALPHA_AND : (cowlThing(X23_202_7) & ~cowlNothing(X23_202_7))
% 27.19/4.32 -> [2434] cowlThing(X23_202_7), ~cowlNothing(X23_202_7)
% 27.19/4.32
% 27.19/4.32 [2434] CLOSURE : cowlThing(X23_202_7)
% 27.19/4.32
% 27.19/4.32 [2180] CLOSURE : ~=(B22_106_6, B22_106_6)
% 27.19/4.32
% 27.19/4.32 [11] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8)))
% 27.19/4.32 -> [17] ((=(B8_1_0, B8_1_0) & cc(B8_1_0)) => cc(B8_1_0))
% 27.19/4.32
% 27.19/4.32 [17] BETA_IMPLY : ((=(B8_1_0, B8_1_0) & cc(B8_1_0)) => cc(B8_1_0))
% 27.19/4.32 -> [20] ~(=(B8_1_0, B8_1_0) & cc(B8_1_0))
% 27.19/4.32 -> [21] cc(B8_1_0)
% 27.19/4.32
% 27.19/4.32 [20] BETA_NOT_AND : ~(=(B8_1_0, B8_1_0) & cc(B8_1_0))
% 27.19/4.32 -> [29] ~=(B8_1_0, B8_1_0)
% 27.19/4.32 -> [30] ~cc(B8_1_0)
% 27.19/4.32
% 27.19/4.32 [29] CLOSURE : ~=(B8_1_0, B8_1_0)
% 27.19/4.32
% 27.19/4.32 [30] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [72] ((=(B10_6_1, B10_6_1) & cowlNothing(B10_6_1)) => cowlNothing(B10_6_1))
% 27.19/4.32
% 27.19/4.32 [72] BETA_IMPLY : ((=(B10_6_1, B10_6_1) & cowlNothing(B10_6_1)) => cowlNothing(B10_6_1))
% 27.19/4.32 -> [74] ~(=(B10_6_1, B10_6_1) & cowlNothing(B10_6_1))
% 27.19/4.32 -> [75] cowlNothing(B10_6_1)
% 27.19/4.32
% 27.19/4.32 [75] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [127] ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32
% 27.19/4.32 [127] BETA_IMPLY : ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32 -> [133] ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [134] cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [134] CLOSURE : cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [133] BETA_NOT_AND : ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [2173] ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32 -> [2174] ~cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [2173] CLOSURE : ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [2174] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [2179] ((=(B14_35_3, B14_35_3) & rp(B14_35_3, C15_35_3)) => rp(B14_35_3, C15_35_3))
% 27.19/4.32
% 27.19/4.32 [2179] BETA_IMPLY : ((=(B14_35_3, B14_35_3) & rp(B14_35_3, C15_35_3)) => rp(B14_35_3, C15_35_3))
% 27.19/4.32 -> [2182] ~(=(B14_35_3, B14_35_3) & rp(B14_35_3, C15_35_3))
% 27.19/4.32 -> [2183] rp(B14_35_3, C15_35_3)
% 27.19/4.32
% 27.19/4.32 [2183] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2247] ((=(B17_65_4, B17_65_4) & rp(C18_65_4, B17_65_4)) => rp(C18_65_4, B17_65_4))
% 27.19/4.32
% 27.19/4.32 [2247] BETA_IMPLY : ((=(B17_65_4, B17_65_4) & rp(C18_65_4, B17_65_4)) => rp(C18_65_4, B17_65_4))
% 27.19/4.32 -> [2387] ~(=(B17_65_4, B17_65_4) & rp(C18_65_4, B17_65_4))
% 27.19/4.32 -> [2388] rp(C18_65_4, B17_65_4)
% 27.19/4.32
% 27.19/4.32 [2387] BETA_NOT_AND : ~(=(B17_65_4, B17_65_4) & rp(C18_65_4, B17_65_4))
% 27.19/4.32 -> [2396] ~=(B17_65_4, B17_65_4)
% 27.19/4.32 -> [2397] ~rp(C18_65_4, B17_65_4)
% 27.19/4.32
% 27.19/4.32 [2396] CLOSURE : ~=(B17_65_4, B17_65_4)
% 27.19/4.32
% 27.19/4.32 [2397] CLOSURE : ~rp(C18_65_4, B17_65_4)
% 27.19/4.32
% 27.19/4.32 [2388] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2429] ((=(B20_78_5, B20_78_5) & xsd_integer(B20_78_5)) => xsd_integer(B20_78_5))
% 27.19/4.32
% 27.19/4.32 [2429] BETA_IMPLY : ((=(B20_78_5, B20_78_5) & xsd_integer(B20_78_5)) => xsd_integer(B20_78_5))
% 27.19/4.32 -> [2431] ~(=(B20_78_5, B20_78_5) & xsd_integer(B20_78_5))
% 27.19/4.32 -> [2432] xsd_integer(B20_78_5)
% 27.19/4.32
% 27.19/4.32 [2431] BETA_NOT_AND : ~(=(B20_78_5, B20_78_5) & xsd_integer(B20_78_5))
% 27.19/4.32 -> [2435] ~=(B20_78_5, B20_78_5)
% 27.19/4.32 -> [2436] ~xsd_integer(B20_78_5)
% 27.19/4.32
% 27.19/4.32 [2435] CLOSURE : ~=(B20_78_5, B20_78_5)
% 27.19/4.32
% 27.19/4.32 [2436] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2549] ((=(B22_132_6, B22_132_6) & xsd_string(B22_132_6)) => xsd_string(B22_132_6))
% 27.19/4.32
% 27.19/4.32 [2549] BETA_IMPLY : ((=(B22_132_6, B22_132_6) & xsd_string(B22_132_6)) => xsd_string(B22_132_6))
% 27.19/4.32 -> [2550] ~(=(B22_132_6, B22_132_6) & xsd_string(B22_132_6))
% 27.19/4.32 -> [2551] xsd_string(B22_132_6)
% 27.19/4.32
% 27.19/4.32 [2551] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2587] (cowlThing(X23_229_7) & ~cowlNothing(X23_229_7))
% 27.19/4.32
% 27.19/4.32 [2587] ALPHA_AND : (cowlThing(X23_229_7) & ~cowlNothing(X23_229_7))
% 27.19/4.32 -> [2588] cowlThing(X23_229_7), ~cowlNothing(X23_229_7)
% 27.19/4.32
% 27.19/4.32 [2588] CLOSURE : cowlThing(X23_229_7)
% 27.19/4.32
% 27.19/4.32 [2550] BETA_NOT_AND : ~(=(B22_132_6, B22_132_6) & xsd_string(B22_132_6))
% 27.19/4.32 -> [2562] ~=(B22_132_6, B22_132_6)
% 27.19/4.32 -> [2563] ~xsd_string(B22_132_6)
% 27.19/4.32
% 27.19/4.32 [2562] CLOSURE : ~=(B22_132_6, B22_132_6)
% 27.19/4.32
% 27.19/4.32 [2563] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2593] (cowlThing(X23_231_7) & ~cowlNothing(X23_231_7))
% 27.19/4.32
% 27.19/4.32 [2593] ALPHA_AND : (cowlThing(X23_231_7) & ~cowlNothing(X23_231_7))
% 27.19/4.32 -> [2596] cowlThing(X23_231_7), ~cowlNothing(X23_231_7)
% 27.19/4.32
% 27.19/4.32 [2596] CLOSURE : cowlThing(X23_231_7)
% 27.19/4.32
% 27.19/4.32 [2432] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2444] ((=(B22_128_6, B22_128_6) & xsd_string(B22_128_6)) => xsd_string(B22_128_6))
% 27.19/4.32
% 27.19/4.32 [2444] BETA_IMPLY : ((=(B22_128_6, B22_128_6) & xsd_string(B22_128_6)) => xsd_string(B22_128_6))
% 27.19/4.32 -> [2494] ~(=(B22_128_6, B22_128_6) & xsd_string(B22_128_6))
% 27.19/4.32 -> [2495] xsd_string(B22_128_6)
% 27.19/4.32
% 27.19/4.32 [2495] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2560] (cowlThing(X23_222_7) & ~cowlNothing(X23_222_7))
% 27.19/4.32
% 27.19/4.32 [2560] ALPHA_AND : (cowlThing(X23_222_7) & ~cowlNothing(X23_222_7))
% 27.19/4.32 -> [2561] cowlThing(X23_222_7), ~cowlNothing(X23_222_7)
% 27.19/4.32
% 27.19/4.32 [2561] CLOSURE : cowlThing(X23_222_7)
% 27.19/4.32
% 27.19/4.32 [2494] BETA_NOT_AND : ~(=(B22_128_6, B22_128_6) & xsd_string(B22_128_6))
% 27.19/4.32 -> [2513] ~=(B22_128_6, B22_128_6)
% 27.19/4.32 -> [2514] ~xsd_string(B22_128_6)
% 27.19/4.32
% 27.19/4.32 [2513] CLOSURE : ~=(B22_128_6, B22_128_6)
% 27.19/4.32
% 27.19/4.32 [2514] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2583] (cowlThing(X23_228_7) & ~cowlNothing(X23_228_7))
% 27.19/4.32
% 27.19/4.32 [2583] ALPHA_AND : (cowlThing(X23_228_7) & ~cowlNothing(X23_228_7))
% 27.19/4.32 -> [2586] cowlThing(X23_228_7), ~cowlNothing(X23_228_7)
% 27.19/4.32
% 27.19/4.32 [2586] CLOSURE : cowlThing(X23_228_7)
% 27.19/4.32
% 27.19/4.32 [2182] BETA_NOT_AND : ~(=(B14_35_3, B14_35_3) & rp(B14_35_3, C15_35_3))
% 27.19/4.32 -> [2194] ~=(B14_35_3, B14_35_3)
% 27.19/4.32 -> [2195] ~rp(B14_35_3, C15_35_3)
% 27.19/4.32
% 27.19/4.32 [2194] CLOSURE : ~=(B14_35_3, B14_35_3)
% 27.19/4.32
% 27.19/4.32 [2195] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2198] ((=(B17_63_4, B17_63_4) & rp(C18_63_4, B17_63_4)) => rp(C18_63_4, B17_63_4))
% 27.19/4.32
% 27.19/4.32 [2198] BETA_IMPLY : ((=(B17_63_4, B17_63_4) & rp(C18_63_4, B17_63_4)) => rp(C18_63_4, B17_63_4))
% 27.19/4.32 -> [2199] ~(=(B17_63_4, B17_63_4) & rp(C18_63_4, B17_63_4))
% 27.19/4.32 -> [2200] rp(C18_63_4, B17_63_4)
% 27.19/4.32
% 27.19/4.32 [2199] BETA_NOT_AND : ~(=(B17_63_4, B17_63_4) & rp(C18_63_4, B17_63_4))
% 27.19/4.32 -> [2205] ~=(B17_63_4, B17_63_4)
% 27.19/4.32 -> [2206] ~rp(C18_63_4, B17_63_4)
% 27.19/4.32
% 27.19/4.32 [2205] CLOSURE : ~=(B17_63_4, B17_63_4)
% 27.19/4.32
% 27.19/4.32 [2206] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2213] ((=(B20_71_5, B20_71_5) & xsd_integer(B20_71_5)) => xsd_integer(B20_71_5))
% 27.19/4.32
% 27.19/4.32 [2213] BETA_IMPLY : ((=(B20_71_5, B20_71_5) & xsd_integer(B20_71_5)) => xsd_integer(B20_71_5))
% 27.19/4.32 -> [2215] ~(=(B20_71_5, B20_71_5) & xsd_integer(B20_71_5))
% 27.19/4.32 -> [2216] xsd_integer(B20_71_5)
% 27.19/4.32
% 27.19/4.32 [2215] BETA_NOT_AND : ~(=(B20_71_5, B20_71_5) & xsd_integer(B20_71_5))
% 27.19/4.32 -> [2221] ~=(B20_71_5, B20_71_5)
% 27.19/4.32 -> [2222] ~xsd_integer(B20_71_5)
% 27.19/4.32
% 27.19/4.32 [2221] CLOSURE : ~=(B20_71_5, B20_71_5)
% 27.19/4.32
% 27.19/4.32 [2222] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2254] ((=(B22_111_6, B22_111_6) & xsd_string(B22_111_6)) => xsd_string(B22_111_6))
% 27.19/4.32
% 27.19/4.32 [2254] BETA_IMPLY : ((=(B22_111_6, B22_111_6) & xsd_string(B22_111_6)) => xsd_string(B22_111_6))
% 27.19/4.32 -> [2255] ~(=(B22_111_6, B22_111_6) & xsd_string(B22_111_6))
% 27.19/4.32 -> [2256] xsd_string(B22_111_6)
% 27.19/4.32
% 27.19/4.32 [2255] BETA_NOT_AND : ~(=(B22_111_6, B22_111_6) & xsd_string(B22_111_6))
% 27.19/4.32 -> [2275] ~=(B22_111_6, B22_111_6)
% 27.19/4.32 -> [2276] ~xsd_string(B22_111_6)
% 27.19/4.32
% 27.19/4.32 [2275] CLOSURE : ~=(B22_111_6, B22_111_6)
% 27.19/4.32
% 27.19/4.32 [2276] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2277] (cowlThing(X23_182_7) & ~cowlNothing(X23_182_7))
% 27.19/4.32
% 27.19/4.32 [2277] ALPHA_AND : (cowlThing(X23_182_7) & ~cowlNothing(X23_182_7))
% 27.19/4.32 -> [2278] cowlThing(X23_182_7), ~cowlNothing(X23_182_7)
% 27.19/4.32
% 27.19/4.32 [2278] CLOSURE : cowlThing(X23_182_7)
% 27.19/4.32
% 27.19/4.32 [2256] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2324] (cowlThing(X23_186_7) & ~cowlNothing(X23_186_7))
% 27.19/4.32
% 27.19/4.32 [2324] ALPHA_AND : (cowlThing(X23_186_7) & ~cowlNothing(X23_186_7))
% 27.19/4.32 -> [2325] cowlThing(X23_186_7), ~cowlNothing(X23_186_7)
% 27.19/4.32
% 27.19/4.32 [2325] CLOSURE : cowlThing(X23_186_7)
% 27.19/4.32
% 27.19/4.32 [2216] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2443] ((=(B22_127_6, B22_127_6) & xsd_string(B22_127_6)) => xsd_string(B22_127_6))
% 27.19/4.32
% 27.19/4.32 [2443] BETA_IMPLY : ((=(B22_127_6, B22_127_6) & xsd_string(B22_127_6)) => xsd_string(B22_127_6))
% 27.19/4.32 -> [2498] ~(=(B22_127_6, B22_127_6) & xsd_string(B22_127_6))
% 27.19/4.32 -> [2499] xsd_string(B22_127_6)
% 27.19/4.32
% 27.19/4.32 [2499] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2569] (cowlThing(X23_224_7) & ~cowlNothing(X23_224_7))
% 27.19/4.32
% 27.19/4.32 [2569] ALPHA_AND : (cowlThing(X23_224_7) & ~cowlNothing(X23_224_7))
% 27.19/4.32 -> [2570] cowlThing(X23_224_7), ~cowlNothing(X23_224_7)
% 27.19/4.32
% 27.19/4.32 [2570] CLOSURE : cowlThing(X23_224_7)
% 27.19/4.32
% 27.19/4.32 [2498] BETA_NOT_AND : ~(=(B22_127_6, B22_127_6) & xsd_string(B22_127_6))
% 27.19/4.32 -> [2517] ~=(B22_127_6, B22_127_6)
% 27.19/4.32 -> [2518] ~xsd_string(B22_127_6)
% 27.19/4.32
% 27.19/4.32 [2517] CLOSURE : ~=(B22_127_6, B22_127_6)
% 27.19/4.32
% 27.19/4.32 [2518] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2591] (cowlThing(X23_230_7) & ~cowlNothing(X23_230_7))
% 27.19/4.32
% 27.19/4.32 [2591] ALPHA_AND : (cowlThing(X23_230_7) & ~cowlNothing(X23_230_7))
% 27.19/4.32 -> [2592] cowlThing(X23_230_7), ~cowlNothing(X23_230_7)
% 27.19/4.32
% 27.19/4.32 [2592] CLOSURE : cowlThing(X23_230_7)
% 27.19/4.32
% 27.19/4.32 [2200] CLOSURE : rp(C18_63_4, B17_63_4)
% 27.19/4.32
% 27.19/4.32 [74] BETA_NOT_AND : ~(=(B10_6_1, B10_6_1) & cowlNothing(B10_6_1))
% 27.19/4.32 -> [81] ~=(B10_6_1, B10_6_1)
% 27.19/4.32 -> [82] ~cowlNothing(B10_6_1)
% 27.19/4.32
% 27.19/4.32 [81] CLOSURE : ~=(B10_6_1, B10_6_1)
% 27.19/4.32
% 27.19/4.32 [82] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [101] ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32
% 27.19/4.32 [101] BETA_IMPLY : ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32 -> [107] ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [108] cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [108] CLOSURE : cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [107] BETA_NOT_AND : ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [2006] ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32 -> [2007] ~cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [2006] CLOSURE : ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [2007] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [2008] ((=(B14_29_3, B14_29_3) & rp(B14_29_3, C15_29_3)) => rp(B14_29_3, C15_29_3))
% 27.19/4.32
% 27.19/4.32 [2008] BETA_IMPLY : ((=(B14_29_3, B14_29_3) & rp(B14_29_3, C15_29_3)) => rp(B14_29_3, C15_29_3))
% 27.19/4.32 -> [2012] ~(=(B14_29_3, B14_29_3) & rp(B14_29_3, C15_29_3))
% 27.19/4.32 -> [2013] rp(B14_29_3, C15_29_3)
% 27.19/4.32
% 27.19/4.32 [2013] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2227] ((=(B17_64_4, B17_64_4) & rp(C18_64_4, B17_64_4)) => rp(C18_64_4, B17_64_4))
% 27.19/4.32
% 27.19/4.32 [2227] BETA_IMPLY : ((=(B17_64_4, B17_64_4) & rp(C18_64_4, B17_64_4)) => rp(C18_64_4, B17_64_4))
% 27.19/4.32 -> [2230] ~(=(B17_64_4, B17_64_4) & rp(C18_64_4, B17_64_4))
% 27.19/4.32 -> [2231] rp(C18_64_4, B17_64_4)
% 27.19/4.32
% 27.19/4.32 [2230] BETA_NOT_AND : ~(=(B17_64_4, B17_64_4) & rp(C18_64_4, B17_64_4))
% 27.19/4.32 -> [2248] ~=(B17_64_4, B17_64_4)
% 27.19/4.32 -> [2249] ~rp(C18_64_4, B17_64_4)
% 27.19/4.32
% 27.19/4.32 [2249] CLOSURE : ~rp(C18_64_4, B17_64_4)
% 27.19/4.32
% 27.19/4.32 [2248] CLOSURE : ~=(B17_64_4, B17_64_4)
% 27.19/4.32
% 27.19/4.32 [2231] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2410] ((=(B20_77_5, B20_77_5) & xsd_integer(B20_77_5)) => xsd_integer(B20_77_5))
% 27.19/4.32
% 27.19/4.32 [2410] BETA_IMPLY : ((=(B20_77_5, B20_77_5) & xsd_integer(B20_77_5)) => xsd_integer(B20_77_5))
% 27.19/4.32 -> [2412] ~(=(B20_77_5, B20_77_5) & xsd_integer(B20_77_5))
% 27.19/4.32 -> [2413] xsd_integer(B20_77_5)
% 27.19/4.32
% 27.19/4.32 [2413] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2449] ((=(B22_129_6, B22_129_6) & xsd_string(B22_129_6)) => xsd_string(B22_129_6))
% 27.19/4.32
% 27.19/4.32 [2449] BETA_IMPLY : ((=(B22_129_6, B22_129_6) & xsd_string(B22_129_6)) => xsd_string(B22_129_6))
% 27.19/4.32 -> [2451] ~(=(B22_129_6, B22_129_6) & xsd_string(B22_129_6))
% 27.19/4.32 -> [2452] xsd_string(B22_129_6)
% 27.19/4.32
% 27.19/4.32 [2452] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2474] (cowlThing(X23_211_7) & ~cowlNothing(X23_211_7))
% 27.19/4.32
% 27.19/4.32 [2474] ALPHA_AND : (cowlThing(X23_211_7) & ~cowlNothing(X23_211_7))
% 27.19/4.32 -> [2475] cowlThing(X23_211_7), ~cowlNothing(X23_211_7)
% 27.19/4.32
% 27.19/4.32 [2475] CLOSURE : cowlThing(X23_211_7)
% 27.19/4.32
% 27.19/4.32 [2451] BETA_NOT_AND : ~(=(B22_129_6, B22_129_6) & xsd_string(B22_129_6))
% 27.19/4.32 -> [2457] ~=(B22_129_6, B22_129_6)
% 27.19/4.32 -> [2458] ~xsd_string(B22_129_6)
% 27.19/4.32
% 27.19/4.32 [2457] CLOSURE : ~=(B22_129_6, B22_129_6)
% 27.19/4.32
% 27.19/4.32 [2458] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2480] (cowlThing(X23_214_7) & ~cowlNothing(X23_214_7))
% 27.19/4.32
% 27.19/4.32 [2480] ALPHA_AND : (cowlThing(X23_214_7) & ~cowlNothing(X23_214_7))
% 27.19/4.32 -> [2481] cowlThing(X23_214_7), ~cowlNothing(X23_214_7)
% 27.19/4.32
% 27.19/4.32 [2481] CLOSURE : cowlThing(X23_214_7)
% 27.19/4.32
% 27.19/4.32 [2412] BETA_NOT_AND : ~(=(B20_77_5, B20_77_5) & xsd_integer(B20_77_5))
% 27.19/4.32 -> [2504] ~=(B20_77_5, B20_77_5)
% 27.19/4.32 -> [2505] ~xsd_integer(B20_77_5)
% 27.19/4.32
% 27.19/4.32 [2504] CLOSURE : ~=(B20_77_5, B20_77_5)
% 27.19/4.32
% 27.19/4.32 [2505] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2507] ((=(B22_130_6, B22_130_6) & xsd_string(B22_130_6)) => xsd_string(B22_130_6))
% 27.19/4.32
% 27.19/4.32 [2507] BETA_IMPLY : ((=(B22_130_6, B22_130_6) & xsd_string(B22_130_6)) => xsd_string(B22_130_6))
% 27.19/4.32 -> [2508] ~(=(B22_130_6, B22_130_6) & xsd_string(B22_130_6))
% 27.19/4.32 -> [2509] xsd_string(B22_130_6)
% 27.19/4.32
% 27.19/4.32 [2508] BETA_NOT_AND : ~(=(B22_130_6, B22_130_6) & xsd_string(B22_130_6))
% 27.19/4.32 -> [2526] ~=(B22_130_6, B22_130_6)
% 27.19/4.32 -> [2527] ~xsd_string(B22_130_6)
% 27.19/4.32
% 27.19/4.32 [2526] CLOSURE : ~=(B22_130_6, B22_130_6)
% 27.19/4.32
% 27.19/4.32 [2527] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2529] (cowlThing(X23_219_7) & ~cowlNothing(X23_219_7))
% 27.19/4.32
% 27.19/4.32 [2529] ALPHA_AND : (cowlThing(X23_219_7) & ~cowlNothing(X23_219_7))
% 27.19/4.32 -> [2531] cowlThing(X23_219_7), ~cowlNothing(X23_219_7)
% 27.19/4.32
% 27.19/4.32 [2531] CLOSURE : cowlThing(X23_219_7)
% 27.19/4.32
% 27.19/4.32 [2509] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2572] (cowlThing(X23_226_7) & ~cowlNothing(X23_226_7))
% 27.19/4.32
% 27.19/4.32 [2572] ALPHA_AND : (cowlThing(X23_226_7) & ~cowlNothing(X23_226_7))
% 27.19/4.32 -> [2574] cowlThing(X23_226_7), ~cowlNothing(X23_226_7)
% 27.19/4.32
% 27.19/4.32 [2574] CLOSURE : cowlThing(X23_226_7)
% 27.19/4.32
% 27.19/4.32 [2012] BETA_NOT_AND : ~(=(B14_29_3, B14_29_3) & rp(B14_29_3, C15_29_3))
% 27.19/4.32 -> [2061] ~=(B14_29_3, B14_29_3)
% 27.19/4.32 -> [2062] ~rp(B14_29_3, C15_29_3)
% 27.19/4.32
% 27.19/4.32 [2061] CLOSURE : ~=(B14_29_3, B14_29_3)
% 27.19/4.32
% 27.19/4.32 [2062] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2186] ((=(B17_62_4, B17_62_4) & rp(C18_62_4, B17_62_4)) => rp(C18_62_4, B17_62_4))
% 27.19/4.32
% 27.19/4.32 [2186] BETA_IMPLY : ((=(B17_62_4, B17_62_4) & rp(C18_62_4, B17_62_4)) => rp(C18_62_4, B17_62_4))
% 27.19/4.32 -> [2188] ~(=(B17_62_4, B17_62_4) & rp(C18_62_4, B17_62_4))
% 27.19/4.32 -> [2189] rp(C18_62_4, B17_62_4)
% 27.19/4.32
% 27.19/4.32 [2189] CLOSURE : rp(C18_62_4, B17_62_4)
% 27.19/4.32
% 27.19/4.32 [2188] BETA_NOT_AND : ~(=(B17_62_4, B17_62_4) & rp(C18_62_4, B17_62_4))
% 27.19/4.32 -> [2659] ~=(B17_62_4, B17_62_4)
% 27.19/4.32 -> [2660] ~rp(C18_62_4, B17_62_4)
% 27.19/4.32
% 27.19/4.32 [2659] CLOSURE : ~=(B17_62_4, B17_62_4)
% 27.19/4.32
% 27.19/4.32 [2660] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2661] ((=(B20_81_5, B20_81_5) & xsd_integer(B20_81_5)) => xsd_integer(B20_81_5))
% 27.19/4.32
% 27.19/4.32 [2661] BETA_IMPLY : ((=(B20_81_5, B20_81_5) & xsd_integer(B20_81_5)) => xsd_integer(B20_81_5))
% 27.19/4.32 -> [2664] ~(=(B20_81_5, B20_81_5) & xsd_integer(B20_81_5))
% 27.19/4.32 -> [2665] xsd_integer(B20_81_5)
% 27.19/4.32
% 27.19/4.32 [2665] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2697] ((=(B22_138_6, B22_138_6) & xsd_string(B22_138_6)) => xsd_string(B22_138_6))
% 27.19/4.32
% 27.19/4.32 [2697] BETA_IMPLY : ((=(B22_138_6, B22_138_6) & xsd_string(B22_138_6)) => xsd_string(B22_138_6))
% 27.19/4.32 -> [2701] ~(=(B22_138_6, B22_138_6) & xsd_string(B22_138_6))
% 27.19/4.32 -> [2702] xsd_string(B22_138_6)
% 27.19/4.32
% 27.19/4.32 [2701] BETA_NOT_AND : ~(=(B22_138_6, B22_138_6) & xsd_string(B22_138_6))
% 27.19/4.32 -> [2727] ~=(B22_138_6, B22_138_6)
% 27.19/4.32 -> [2728] ~xsd_string(B22_138_6)
% 27.19/4.32
% 27.19/4.32 [2727] CLOSURE : ~=(B22_138_6, B22_138_6)
% 27.19/4.32
% 27.19/4.32 [2728] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2732] (cowlThing(X23_247_7) & ~cowlNothing(X23_247_7))
% 27.19/4.32
% 27.19/4.32 [2732] ALPHA_AND : (cowlThing(X23_247_7) & ~cowlNothing(X23_247_7))
% 27.19/4.32 -> [2733] cowlThing(X23_247_7), ~cowlNothing(X23_247_7)
% 27.19/4.32
% 27.19/4.32 [2733] CLOSURE : cowlThing(X23_247_7)
% 27.19/4.32
% 27.19/4.32 [2702] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2736] (cowlThing(X23_249_7) & ~cowlNothing(X23_249_7))
% 27.19/4.32
% 27.19/4.32 [2736] ALPHA_AND : (cowlThing(X23_249_7) & ~cowlNothing(X23_249_7))
% 27.19/4.32 -> [2737] cowlThing(X23_249_7), ~cowlNothing(X23_249_7)
% 27.19/4.32
% 27.19/4.32 [2737] CLOSURE : cowlThing(X23_249_7)
% 27.19/4.32
% 27.19/4.32 [2664] BETA_NOT_AND : ~(=(B20_81_5, B20_81_5) & xsd_integer(B20_81_5))
% 27.19/4.32 -> [2684] ~=(B20_81_5, B20_81_5)
% 27.19/4.32 -> [2685] ~xsd_integer(B20_81_5)
% 27.19/4.32
% 27.19/4.32 [2684] CLOSURE : ~=(B20_81_5, B20_81_5)
% 27.19/4.32
% 27.19/4.32 [2685] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2688] ((=(B22_137_6, B22_137_6) & xsd_string(B22_137_6)) => xsd_string(B22_137_6))
% 27.19/4.32
% 27.19/4.32 [2688] BETA_IMPLY : ((=(B22_137_6, B22_137_6) & xsd_string(B22_137_6)) => xsd_string(B22_137_6))
% 27.19/4.32 -> [2689] ~(=(B22_137_6, B22_137_6) & xsd_string(B22_137_6))
% 27.19/4.32 -> [2690] xsd_string(B22_137_6)
% 27.19/4.32
% 27.19/4.32 [2689] BETA_NOT_AND : ~(=(B22_137_6, B22_137_6) & xsd_string(B22_137_6))
% 27.19/4.32 -> [2699] ~=(B22_137_6, B22_137_6)
% 27.19/4.32 -> [2700] ~xsd_string(B22_137_6)
% 27.19/4.32
% 27.19/4.32 [2699] CLOSURE : ~=(B22_137_6, B22_137_6)
% 27.19/4.32
% 27.19/4.32 [2700] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2738] (cowlThing(X23_250_7) & ~cowlNothing(X23_250_7))
% 27.19/4.32
% 27.19/4.32 [2738] ALPHA_AND : (cowlThing(X23_250_7) & ~cowlNothing(X23_250_7))
% 27.19/4.32 -> [2739] cowlThing(X23_250_7), ~cowlNothing(X23_250_7)
% 27.19/4.32
% 27.19/4.32 [2739] CLOSURE : cowlThing(X23_250_7)
% 27.19/4.32
% 27.19/4.32 [2690] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2797] (cowlThing(X23_254_7) & ~cowlNothing(X23_254_7))
% 27.19/4.32
% 27.19/4.32 [2797] ALPHA_AND : (cowlThing(X23_254_7) & ~cowlNothing(X23_254_7))
% 27.19/4.32 -> [2798] cowlThing(X23_254_7), ~cowlNothing(X23_254_7)
% 27.19/4.32
% 27.19/4.32 [2798] CLOSURE : cowlThing(X23_254_7)
% 27.19/4.32
% 27.19/4.32 [21] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [57] ((=(B10_5_1, B10_5_1) & cowlNothing(B10_5_1)) => cowlNothing(B10_5_1))
% 27.19/4.32
% 27.19/4.32 [57] BETA_IMPLY : ((=(B10_5_1, B10_5_1) & cowlNothing(B10_5_1)) => cowlNothing(B10_5_1))
% 27.19/4.32 -> [62] ~(=(B10_5_1, B10_5_1) & cowlNothing(B10_5_1))
% 27.19/4.32 -> [63] cowlNothing(B10_5_1)
% 27.19/4.32
% 27.19/4.32 [63] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [99] ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32
% 27.19/4.32 [99] BETA_IMPLY : ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32 -> [102] ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [103] cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [103] CLOSURE : cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [102] BETA_NOT_AND : ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [1947] ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32 -> [1948] ~cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [1947] CLOSURE : ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [1948] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [1998] ((=(B14_28_3, B14_28_3) & rp(B14_28_3, C15_28_3)) => rp(B14_28_3, C15_28_3))
% 27.19/4.32
% 27.19/4.32 [1998] BETA_IMPLY : ((=(B14_28_3, B14_28_3) & rp(B14_28_3, C15_28_3)) => rp(B14_28_3, C15_28_3))
% 27.19/4.32 -> [2000] ~(=(B14_28_3, B14_28_3) & rp(B14_28_3, C15_28_3))
% 27.19/4.32 -> [2001] rp(B14_28_3, C15_28_3)
% 27.19/4.32
% 27.19/4.32 [2000] BETA_NOT_AND : ~(=(B14_28_3, B14_28_3) & rp(B14_28_3, C15_28_3))
% 27.19/4.32 -> [2045] ~=(B14_28_3, B14_28_3)
% 27.19/4.32 -> [2046] ~rp(B14_28_3, C15_28_3)
% 27.19/4.32
% 27.19/4.32 [2045] CLOSURE : ~=(B14_28_3, B14_28_3)
% 27.19/4.32
% 27.19/4.32 [2046] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2468] ((=(B17_66_4, B17_66_4) & rp(C18_66_4, B17_66_4)) => rp(C18_66_4, B17_66_4))
% 27.19/4.32
% 27.19/4.32 [2468] BETA_IMPLY : ((=(B17_66_4, B17_66_4) & rp(C18_66_4, B17_66_4)) => rp(C18_66_4, B17_66_4))
% 27.19/4.32 -> [2470] ~(=(B17_66_4, B17_66_4) & rp(C18_66_4, B17_66_4))
% 27.19/4.32 -> [2471] rp(C18_66_4, B17_66_4)
% 27.19/4.32
% 27.19/4.32 [2470] BETA_NOT_AND : ~(=(B17_66_4, B17_66_4) & rp(C18_66_4, B17_66_4))
% 27.19/4.32 -> [2482] ~=(B17_66_4, B17_66_4)
% 27.19/4.32 -> [2483] ~rp(C18_66_4, B17_66_4)
% 27.19/4.32
% 27.19/4.32 [2482] CLOSURE : ~=(B17_66_4, B17_66_4)
% 27.19/4.32
% 27.19/4.32 [2483] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2540] ((=(B20_79_5, B20_79_5) & xsd_integer(B20_79_5)) => xsd_integer(B20_79_5))
% 27.19/4.32
% 27.19/4.32 [2540] BETA_IMPLY : ((=(B20_79_5, B20_79_5) & xsd_integer(B20_79_5)) => xsd_integer(B20_79_5))
% 27.19/4.32 -> [2541] ~(=(B20_79_5, B20_79_5) & xsd_integer(B20_79_5))
% 27.19/4.32 -> [2542] xsd_integer(B20_79_5)
% 27.19/4.32
% 27.19/4.32 [2542] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2580] ((=(B22_134_6, B22_134_6) & xsd_string(B22_134_6)) => xsd_string(B22_134_6))
% 27.19/4.32
% 27.19/4.32 [2580] BETA_IMPLY : ((=(B22_134_6, B22_134_6) & xsd_string(B22_134_6)) => xsd_string(B22_134_6))
% 27.19/4.32 -> [2584] ~(=(B22_134_6, B22_134_6) & xsd_string(B22_134_6))
% 27.19/4.32 -> [2585] xsd_string(B22_134_6)
% 27.19/4.32
% 27.19/4.32 [2584] BETA_NOT_AND : ~(=(B22_134_6, B22_134_6) & xsd_string(B22_134_6))
% 27.19/4.32 -> [2615] ~=(B22_134_6, B22_134_6)
% 27.19/4.32 -> [2616] ~xsd_string(B22_134_6)
% 27.19/4.32
% 27.19/4.32 [2615] CLOSURE : ~=(B22_134_6, B22_134_6)
% 27.19/4.32
% 27.19/4.32 [2616] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2634] (cowlThing(X23_238_7) & ~cowlNothing(X23_238_7))
% 27.19/4.32
% 27.19/4.32 [2634] ALPHA_AND : (cowlThing(X23_238_7) & ~cowlNothing(X23_238_7))
% 27.19/4.32 -> [2635] cowlThing(X23_238_7), ~cowlNothing(X23_238_7)
% 27.19/4.32
% 27.19/4.32 [2635] CLOSURE : cowlThing(X23_238_7)
% 27.19/4.32
% 27.19/4.32 [2585] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2643] (cowlThing(X23_240_7) & ~cowlNothing(X23_240_7))
% 27.19/4.32
% 27.19/4.32 [2643] ALPHA_AND : (cowlThing(X23_240_7) & ~cowlNothing(X23_240_7))
% 27.19/4.32 -> [2648] cowlThing(X23_240_7), ~cowlNothing(X23_240_7)
% 27.19/4.32
% 27.19/4.32 [2648] CLOSURE : cowlThing(X23_240_7)
% 27.19/4.32
% 27.19/4.32 [2541] BETA_NOT_AND : ~(=(B20_79_5, B20_79_5) & xsd_integer(B20_79_5))
% 27.19/4.32 -> [2552] ~=(B20_79_5, B20_79_5)
% 27.19/4.32 -> [2553] ~xsd_integer(B20_79_5)
% 27.19/4.32
% 27.19/4.32 [2552] CLOSURE : ~=(B20_79_5, B20_79_5)
% 27.19/4.32
% 27.19/4.32 [2553] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2590] ((=(B22_135_6, B22_135_6) & xsd_string(B22_135_6)) => xsd_string(B22_135_6))
% 27.19/4.32
% 27.19/4.32 [2590] BETA_IMPLY : ((=(B22_135_6, B22_135_6) & xsd_string(B22_135_6)) => xsd_string(B22_135_6))
% 27.19/4.32 -> [2669] ~(=(B22_135_6, B22_135_6) & xsd_string(B22_135_6))
% 27.19/4.32 -> [2670] xsd_string(B22_135_6)
% 27.19/4.32
% 27.19/4.32 [2669] BETA_NOT_AND : ~(=(B22_135_6, B22_135_6) & xsd_string(B22_135_6))
% 27.19/4.32 -> [2676] ~=(B22_135_6, B22_135_6)
% 27.19/4.32 -> [2677] ~xsd_string(B22_135_6)
% 27.19/4.32
% 27.19/4.32 [2676] CLOSURE : ~=(B22_135_6, B22_135_6)
% 27.19/4.32
% 27.19/4.32 [2677] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2698] (cowlThing(X23_244_7) & ~cowlNothing(X23_244_7))
% 27.19/4.32
% 27.19/4.32 [2698] ALPHA_AND : (cowlThing(X23_244_7) & ~cowlNothing(X23_244_7))
% 27.19/4.32 -> [2721] cowlThing(X23_244_7), ~cowlNothing(X23_244_7)
% 27.19/4.32
% 27.19/4.32 [2721] CLOSURE : cowlThing(X23_244_7)
% 27.19/4.32
% 27.19/4.32 [2670] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2691] (cowlThing(X23_242_7) & ~cowlNothing(X23_242_7))
% 27.19/4.32
% 27.19/4.32 [2691] ALPHA_AND : (cowlThing(X23_242_7) & ~cowlNothing(X23_242_7))
% 27.19/4.32 -> [2692] cowlThing(X23_242_7), ~cowlNothing(X23_242_7)
% 27.19/4.32
% 27.19/4.32 [2692] CLOSURE : cowlThing(X23_242_7)
% 27.19/4.32
% 27.19/4.32 [2471] CLOSURE : rp(C18_66_4, B17_66_4)
% 27.19/4.32
% 27.19/4.32 [2001] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2607] ((=(B17_67_4, B17_67_4) & rp(C18_67_4, B17_67_4)) => rp(C18_67_4, B17_67_4))
% 27.19/4.32
% 27.19/4.32 [2607] BETA_IMPLY : ((=(B17_67_4, B17_67_4) & rp(C18_67_4, B17_67_4)) => rp(C18_67_4, B17_67_4))
% 27.19/4.32 -> [2610] ~(=(B17_67_4, B17_67_4) & rp(C18_67_4, B17_67_4))
% 27.19/4.32 -> [2611] rp(C18_67_4, B17_67_4)
% 27.19/4.32
% 27.19/4.32 [2610] BETA_NOT_AND : ~(=(B17_67_4, B17_67_4) & rp(C18_67_4, B17_67_4))
% 27.19/4.32 -> [2632] ~=(B17_67_4, B17_67_4)
% 27.19/4.32 -> [2633] ~rp(C18_67_4, B17_67_4)
% 27.19/4.32
% 27.19/4.32 [2632] CLOSURE : ~=(B17_67_4, B17_67_4)
% 27.19/4.32
% 27.19/4.32 [2633] CLOSURE : ~rp(C18_67_4, B17_67_4)
% 27.19/4.32
% 27.19/4.32 [2611] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2642] ((=(B20_80_5, B20_80_5) & xsd_integer(B20_80_5)) => xsd_integer(B20_80_5))
% 27.19/4.32
% 27.19/4.32 [2642] BETA_IMPLY : ((=(B20_80_5, B20_80_5) & xsd_integer(B20_80_5)) => xsd_integer(B20_80_5))
% 27.19/4.32 -> [2645] ~(=(B20_80_5, B20_80_5) & xsd_integer(B20_80_5))
% 27.19/4.32 -> [2646] xsd_integer(B20_80_5)
% 27.19/4.32
% 27.19/4.32 [2646] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2666] ((=(B22_136_6, B22_136_6) & xsd_string(B22_136_6)) => xsd_string(B22_136_6))
% 27.19/4.32
% 27.19/4.32 [2666] BETA_IMPLY : ((=(B22_136_6, B22_136_6) & xsd_string(B22_136_6)) => xsd_string(B22_136_6))
% 27.19/4.32 -> [2667] ~(=(B22_136_6, B22_136_6) & xsd_string(B22_136_6))
% 27.19/4.32 -> [2668] xsd_string(B22_136_6)
% 27.19/4.32
% 27.19/4.32 [2668] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2720] (cowlThing(X23_245_7) & ~cowlNothing(X23_245_7))
% 27.19/4.32
% 27.19/4.32 [2720] ALPHA_AND : (cowlThing(X23_245_7) & ~cowlNothing(X23_245_7))
% 27.19/4.32 -> [2722] cowlThing(X23_245_7), ~cowlNothing(X23_245_7)
% 27.19/4.32
% 27.19/4.32 [2722] CLOSURE : cowlThing(X23_245_7)
% 27.19/4.32
% 27.19/4.32 [2667] BETA_NOT_AND : ~(=(B22_136_6, B22_136_6) & xsd_string(B22_136_6))
% 27.19/4.32 -> [2686] ~=(B22_136_6, B22_136_6)
% 27.19/4.32 -> [2687] ~xsd_string(B22_136_6)
% 27.19/4.32
% 27.19/4.32 [2686] CLOSURE : ~=(B22_136_6, B22_136_6)
% 27.19/4.32
% 27.19/4.32 [2687] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2730] (cowlThing(X23_246_7) & ~cowlNothing(X23_246_7))
% 27.19/4.32
% 27.19/4.32 [2730] ALPHA_AND : (cowlThing(X23_246_7) & ~cowlNothing(X23_246_7))
% 27.19/4.32 -> [2731] cowlThing(X23_246_7), ~cowlNothing(X23_246_7)
% 27.19/4.32
% 27.19/4.32 [2731] CLOSURE : cowlThing(X23_246_7)
% 27.19/4.32
% 27.19/4.32 [2645] BETA_NOT_AND : ~(=(B20_80_5, B20_80_5) & xsd_integer(B20_80_5))
% 27.19/4.32 -> [2649] ~=(B20_80_5, B20_80_5)
% 27.19/4.32 -> [2650] ~xsd_integer(B20_80_5)
% 27.19/4.32
% 27.19/4.32 [2649] CLOSURE : ~=(B20_80_5, B20_80_5)
% 27.19/4.32
% 27.19/4.32 [2650] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2817] ((=(B22_142_6, B22_142_6) & xsd_string(B22_142_6)) => xsd_string(B22_142_6))
% 27.19/4.32
% 27.19/4.32 [2817] BETA_IMPLY : ((=(B22_142_6, B22_142_6) & xsd_string(B22_142_6)) => xsd_string(B22_142_6))
% 27.19/4.32 -> [2818] ~(=(B22_142_6, B22_142_6) & xsd_string(B22_142_6))
% 27.19/4.32 -> [2819] xsd_string(B22_142_6)
% 27.19/4.32
% 27.19/4.32 [2819] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2833] (cowlThing(X23_258_7) & ~cowlNothing(X23_258_7))
% 27.19/4.32
% 27.19/4.32 [2833] ALPHA_AND : (cowlThing(X23_258_7) & ~cowlNothing(X23_258_7))
% 27.19/4.32 -> [2834] cowlThing(X23_258_7), ~cowlNothing(X23_258_7)
% 27.19/4.32
% 27.19/4.32 [2834] CLOSURE : cowlThing(X23_258_7)
% 27.19/4.32
% 27.19/4.32 [2818] BETA_NOT_AND : ~(=(B22_142_6, B22_142_6) & xsd_string(B22_142_6))
% 27.19/4.32 -> [2823] ~=(B22_142_6, B22_142_6)
% 27.19/4.32 -> [2824] ~xsd_string(B22_142_6)
% 27.19/4.32
% 27.19/4.32 [2823] CLOSURE : ~=(B22_142_6, B22_142_6)
% 27.19/4.32
% 27.19/4.32 [2824] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2837] (cowlThing(X23_259_7) & ~cowlNothing(X23_259_7))
% 27.19/4.32
% 27.19/4.32 [2837] ALPHA_AND : (cowlThing(X23_259_7) & ~cowlNothing(X23_259_7))
% 27.19/4.32 -> [2838] cowlThing(X23_259_7), ~cowlNothing(X23_259_7)
% 27.19/4.32
% 27.19/4.32 [2838] CLOSURE : cowlThing(X23_259_7)
% 27.19/4.32
% 27.19/4.32 [62] BETA_NOT_AND : ~(=(B10_5_1, B10_5_1) & cowlNothing(B10_5_1))
% 27.19/4.32 -> [87] ~=(B10_5_1, B10_5_1)
% 27.19/4.32 -> [88] ~cowlNothing(B10_5_1)
% 27.19/4.32
% 27.19/4.32 [87] CLOSURE : ~=(B10_5_1, B10_5_1)
% 27.19/4.32
% 27.19/4.32 [88] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [90] ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32
% 27.19/4.32 [90] BETA_IMPLY : ((=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131)) => cowlThing(skolem_X3131))
% 27.19/4.32 -> [94] ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [95] cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [95] CLOSURE : cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [94] BETA_NOT_AND : ~(=(skolem_X3131, skolem_X3131) & cowlThing(skolem_X3131))
% 27.19/4.32 -> [2091] ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32 -> [2092] ~cowlThing(skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [2091] CLOSURE : ~=(skolem_X3131, skolem_X3131)
% 27.19/4.32
% 27.19/4.32 [2092] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [2096] ((=(B14_33_3, B14_33_3) & rp(B14_33_3, C15_33_3)) => rp(B14_33_3, C15_33_3))
% 27.19/4.32
% 27.19/4.32 [2096] BETA_IMPLY : ((=(B14_33_3, B14_33_3) & rp(B14_33_3, C15_33_3)) => rp(B14_33_3, C15_33_3))
% 27.19/4.32 -> [2097] ~(=(B14_33_3, B14_33_3) & rp(B14_33_3, C15_33_3))
% 27.19/4.32 -> [2098] rp(B14_33_3, C15_33_3)
% 27.19/4.32
% 27.19/4.32 [2098] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2149] ((=(B17_59_4, B17_59_4) & rp(C18_59_4, B17_59_4)) => rp(C18_59_4, B17_59_4))
% 27.19/4.32
% 27.19/4.32 [2149] BETA_IMPLY : ((=(B17_59_4, B17_59_4) & rp(C18_59_4, B17_59_4)) => rp(C18_59_4, B17_59_4))
% 27.19/4.32 -> [2151] ~(=(B17_59_4, B17_59_4) & rp(C18_59_4, B17_59_4))
% 27.19/4.32 -> [2152] rp(C18_59_4, B17_59_4)
% 27.19/4.32
% 27.19/4.32 [2151] BETA_NOT_AND : ~(=(B17_59_4, B17_59_4) & rp(C18_59_4, B17_59_4))
% 27.19/4.32 -> [2196] ~=(B17_59_4, B17_59_4)
% 27.19/4.32 -> [2197] ~rp(C18_59_4, B17_59_4)
% 27.19/4.32
% 27.19/4.32 [2197] CLOSURE : ~rp(C18_59_4, B17_59_4)
% 27.19/4.32
% 27.19/4.32 [2196] CLOSURE : ~=(B17_59_4, B17_59_4)
% 27.19/4.32
% 27.19/4.32 [2152] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2241] ((=(B20_73_5, B20_73_5) & xsd_integer(B20_73_5)) => xsd_integer(B20_73_5))
% 27.19/4.32
% 27.19/4.32 [2241] BETA_IMPLY : ((=(B20_73_5, B20_73_5) & xsd_integer(B20_73_5)) => xsd_integer(B20_73_5))
% 27.19/4.32 -> [2243] ~(=(B20_73_5, B20_73_5) & xsd_integer(B20_73_5))
% 27.19/4.32 -> [2244] xsd_integer(B20_73_5)
% 27.19/4.32
% 27.19/4.32 [2244] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2317] ((=(B22_115_6, B22_115_6) & xsd_string(B22_115_6)) => xsd_string(B22_115_6))
% 27.19/4.32
% 27.19/4.32 [2317] BETA_IMPLY : ((=(B22_115_6, B22_115_6) & xsd_string(B22_115_6)) => xsd_string(B22_115_6))
% 27.19/4.32 -> [2319] ~(=(B22_115_6, B22_115_6) & xsd_string(B22_115_6))
% 27.19/4.32 -> [2320] xsd_string(B22_115_6)
% 27.19/4.32
% 27.19/4.32 [2320] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2416] (cowlThing(X23_197_7) & ~cowlNothing(X23_197_7))
% 27.19/4.32
% 27.19/4.32 [2416] ALPHA_AND : (cowlThing(X23_197_7) & ~cowlNothing(X23_197_7))
% 27.19/4.32 -> [2417] cowlThing(X23_197_7), ~cowlNothing(X23_197_7)
% 27.19/4.32
% 27.19/4.32 [2417] CLOSURE : cowlThing(X23_197_7)
% 27.19/4.32
% 27.19/4.32 [2319] BETA_NOT_AND : ~(=(B22_115_6, B22_115_6) & xsd_string(B22_115_6))
% 27.19/4.32 -> [2361] ~=(B22_115_6, B22_115_6)
% 27.19/4.32 -> [2362] ~xsd_string(B22_115_6)
% 27.19/4.32
% 27.19/4.32 [2362] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2612] (cowlThing(X23_234_7) & ~cowlNothing(X23_234_7))
% 27.19/4.32
% 27.19/4.32 [2612] ALPHA_AND : (cowlThing(X23_234_7) & ~cowlNothing(X23_234_7))
% 27.19/4.32 -> [2613] cowlThing(X23_234_7), ~cowlNothing(X23_234_7)
% 27.19/4.32
% 27.19/4.32 [2613] CLOSURE : cowlThing(X23_234_7)
% 27.19/4.32
% 27.19/4.32 [2361] CLOSURE : ~=(B22_115_6, B22_115_6)
% 27.19/4.32
% 27.19/4.32 [2243] BETA_NOT_AND : ~(=(B20_73_5, B20_73_5) & xsd_integer(B20_73_5))
% 27.19/4.32 -> [2293] ~=(B20_73_5, B20_73_5)
% 27.19/4.32 -> [2294] ~xsd_integer(B20_73_5)
% 27.19/4.32
% 27.19/4.32 [2293] CLOSURE : ~=(B20_73_5, B20_73_5)
% 27.19/4.32
% 27.19/4.32 [2294] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2349] ((=(B22_118_6, B22_118_6) & xsd_string(B22_118_6)) => xsd_string(B22_118_6))
% 27.19/4.32
% 27.19/4.32 [2349] BETA_IMPLY : ((=(B22_118_6, B22_118_6) & xsd_string(B22_118_6)) => xsd_string(B22_118_6))
% 27.19/4.32 -> [2350] ~(=(B22_118_6, B22_118_6) & xsd_string(B22_118_6))
% 27.19/4.32 -> [2351] xsd_string(B22_118_6)
% 27.19/4.32
% 27.19/4.32 [2351] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2619] (cowlThing(X23_235_7) & ~cowlNothing(X23_235_7))
% 27.19/4.32
% 27.19/4.32 [2619] ALPHA_AND : (cowlThing(X23_235_7) & ~cowlNothing(X23_235_7))
% 27.19/4.32 -> [2620] cowlThing(X23_235_7), ~cowlNothing(X23_235_7)
% 27.19/4.32
% 27.19/4.32 [2620] CLOSURE : cowlThing(X23_235_7)
% 27.19/4.32
% 27.19/4.32 [2350] BETA_NOT_AND : ~(=(B22_118_6, B22_118_6) & xsd_string(B22_118_6))
% 27.19/4.32 -> [2380] ~=(B22_118_6, B22_118_6)
% 27.19/4.32 -> [2381] ~xsd_string(B22_118_6)
% 27.19/4.32
% 27.19/4.32 [2380] CLOSURE : ~=(B22_118_6, B22_118_6)
% 27.19/4.32
% 27.19/4.32 [2381] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2605] (cowlThing(X23_233_7) & ~cowlNothing(X23_233_7))
% 27.19/4.32
% 27.19/4.32 [2605] ALPHA_AND : (cowlThing(X23_233_7) & ~cowlNothing(X23_233_7))
% 27.19/4.32 -> [2606] cowlThing(X23_233_7), ~cowlNothing(X23_233_7)
% 27.19/4.32
% 27.19/4.32 [2606] CLOSURE : cowlThing(X23_233_7)
% 27.19/4.32
% 27.19/4.32 [2097] BETA_NOT_AND : ~(=(B14_33_3, B14_33_3) & rp(B14_33_3, C15_33_3))
% 27.19/4.32 -> [2109] ~=(B14_33_3, B14_33_3)
% 27.19/4.32 -> [2110] ~rp(B14_33_3, C15_33_3)
% 27.19/4.32
% 27.19/4.32 [2109] CLOSURE : ~=(B14_33_3, B14_33_3)
% 27.19/4.32
% 27.19/4.32 [2110] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2113] ((=(B17_57_4, B17_57_4) & rp(C18_57_4, B17_57_4)) => rp(C18_57_4, B17_57_4))
% 27.19/4.32
% 27.19/4.32 [2113] BETA_IMPLY : ((=(B17_57_4, B17_57_4) & rp(C18_57_4, B17_57_4)) => rp(C18_57_4, B17_57_4))
% 27.19/4.32 -> [2116] ~(=(B17_57_4, B17_57_4) & rp(C18_57_4, B17_57_4))
% 27.19/4.32 -> [2117] rp(C18_57_4, B17_57_4)
% 27.19/4.32
% 27.19/4.32 [2117] CLOSURE : rp(C18_57_4, B17_57_4)
% 27.19/4.32
% 27.19/4.32 [2116] BETA_NOT_AND : ~(=(B17_57_4, B17_57_4) & rp(C18_57_4, B17_57_4))
% 27.19/4.32 -> [2708] ~=(B17_57_4, B17_57_4)
% 27.19/4.32 -> [2709] ~rp(C18_57_4, B17_57_4)
% 27.19/4.32
% 27.19/4.32 [2708] CLOSURE : ~=(B17_57_4, B17_57_4)
% 27.19/4.32
% 27.19/4.32 [2709] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2715] ((=(B20_82_5, B20_82_5) & xsd_integer(B20_82_5)) => xsd_integer(B20_82_5))
% 27.19/4.32
% 27.19/4.32 [2715] BETA_IMPLY : ((=(B20_82_5, B20_82_5) & xsd_integer(B20_82_5)) => xsd_integer(B20_82_5))
% 27.19/4.32 -> [2716] ~(=(B20_82_5, B20_82_5) & xsd_integer(B20_82_5))
% 27.19/4.32 -> [2717] xsd_integer(B20_82_5)
% 27.19/4.32
% 27.19/4.32 [2717] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2820] ((=(B22_143_6, B22_143_6) & xsd_string(B22_143_6)) => xsd_string(B22_143_6))
% 27.19/4.32
% 27.19/4.32 [2820] BETA_IMPLY : ((=(B22_143_6, B22_143_6) & xsd_string(B22_143_6)) => xsd_string(B22_143_6))
% 27.19/4.32 -> [2821] ~(=(B22_143_6, B22_143_6) & xsd_string(B22_143_6))
% 27.19/4.32 -> [2822] xsd_string(B22_143_6)
% 27.19/4.32
% 27.19/4.32 [2821] BETA_NOT_AND : ~(=(B22_143_6, B22_143_6) & xsd_string(B22_143_6))
% 27.19/4.32 -> [2825] ~=(B22_143_6, B22_143_6)
% 27.19/4.32 -> [2826] ~xsd_string(B22_143_6)
% 27.19/4.32
% 27.19/4.32 [2825] CLOSURE : ~=(B22_143_6, B22_143_6)
% 27.19/4.32
% 27.19/4.32 [2826] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2828] (cowlThing(X23_257_7) & ~cowlNothing(X23_257_7))
% 27.19/4.32
% 27.19/4.32 [2828] ALPHA_AND : (cowlThing(X23_257_7) & ~cowlNothing(X23_257_7))
% 27.19/4.32 -> [2829] cowlThing(X23_257_7), ~cowlNothing(X23_257_7)
% 27.19/4.32
% 27.19/4.32 [2829] CLOSURE : cowlThing(X23_257_7)
% 27.19/4.32
% 27.19/4.32 [2822] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2841] (cowlThing(X23_261_7) & ~cowlNothing(X23_261_7))
% 27.19/4.32
% 27.19/4.32 [2841] ALPHA_AND : (cowlThing(X23_261_7) & ~cowlNothing(X23_261_7))
% 27.19/4.32 -> [2842] cowlThing(X23_261_7), ~cowlNothing(X23_261_7)
% 27.19/4.32
% 27.19/4.32 [2842] CLOSURE : cowlThing(X23_261_7)
% 27.19/4.32
% 27.19/4.32 [2716] BETA_NOT_AND : ~(=(B20_82_5, B20_82_5) & xsd_integer(B20_82_5))
% 27.19/4.32 -> [2801] ~=(B20_82_5, B20_82_5)
% 27.19/4.32 -> [2802] ~xsd_integer(B20_82_5)
% 27.19/4.32
% 27.19/4.32 [2801] CLOSURE : ~=(B20_82_5, B20_82_5)
% 27.19/4.32
% 27.19/4.32 [2802] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2803] ((=(B22_141_6, B22_141_6) & xsd_string(B22_141_6)) => xsd_string(B22_141_6))
% 27.19/4.32
% 27.19/4.32 [2803] BETA_IMPLY : ((=(B22_141_6, B22_141_6) & xsd_string(B22_141_6)) => xsd_string(B22_141_6))
% 27.19/4.32 -> [2804] ~(=(B22_141_6, B22_141_6) & xsd_string(B22_141_6))
% 27.19/4.32 -> [2805] xsd_string(B22_141_6)
% 27.19/4.32
% 27.19/4.32 [2804] BETA_NOT_AND : ~(=(B22_141_6, B22_141_6) & xsd_string(B22_141_6))
% 27.19/4.32 -> [2811] ~=(B22_141_6, B22_141_6)
% 27.19/4.32 -> [2812] ~xsd_string(B22_141_6)
% 27.19/4.32
% 27.19/4.32 [2811] CLOSURE : ~=(B22_141_6, B22_141_6)
% 27.19/4.32
% 27.19/4.32 [2812] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2813] (cowlThing(X23_256_7) & ~cowlNothing(X23_256_7))
% 27.19/4.32
% 27.19/4.32 [2813] ALPHA_AND : (cowlThing(X23_256_7) & ~cowlNothing(X23_256_7))
% 27.19/4.32 -> [2814] cowlThing(X23_256_7), ~cowlNothing(X23_256_7)
% 27.19/4.32
% 27.19/4.32 [2814] CLOSURE : cowlThing(X23_256_7)
% 27.19/4.32
% 27.19/4.32 [2805] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2843] (cowlThing(X23_262_7) & ~cowlNothing(X23_262_7))
% 27.19/4.32
% 27.19/4.32 [2843] ALPHA_AND : (cowlThing(X23_262_7) & ~cowlNothing(X23_262_7))
% 27.19/4.32 -> [2844] cowlThing(X23_262_7), ~cowlNothing(X23_262_7)
% 27.19/4.32
% 27.19/4.32 [2844] CLOSURE : cowlThing(X23_262_7)
% 27.19/4.32
% 27.19/4.32 [5] DELTA_NOT_FORALL : ~! [X32_32] : ((xsd_string(X32_32) <=> ~xsd_integer(X32_32)))
% 27.19/4.32 -> [7] ~(xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [7] BETA_NOT_EQUIV : ~(xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [9] ~xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [10] xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [10] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [15] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [15] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8)))
% 27.19/4.32 -> [51] ((=(B8_4_0, B8_4_0) & cc(B8_4_0)) => cc(B8_4_0))
% 27.19/4.32
% 27.19/4.32 [51] BETA_IMPLY : ((=(B8_4_0, B8_4_0) & cc(B8_4_0)) => cc(B8_4_0))
% 27.19/4.32 -> [58] ~(=(B8_4_0, B8_4_0) & cc(B8_4_0))
% 27.19/4.32 -> [59] cc(B8_4_0)
% 27.19/4.32
% 27.19/4.32 [59] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [91] ((=(B10_7_1, B10_7_1) & cowlNothing(B10_7_1)) => cowlNothing(B10_7_1))
% 27.19/4.32
% 27.19/4.32 [91] BETA_IMPLY : ((=(B10_7_1, B10_7_1) & cowlNothing(B10_7_1)) => cowlNothing(B10_7_1))
% 27.19/4.32 -> [96] ~(=(B10_7_1, B10_7_1) & cowlNothing(B10_7_1))
% 27.19/4.32 -> [97] cowlNothing(B10_7_1)
% 27.19/4.32
% 27.19/4.32 [97] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [170] ((=(B12_12_2, B12_12_2) & cowlThing(B12_12_2)) => cowlThing(B12_12_2))
% 27.19/4.32
% 27.19/4.32 [170] BETA_IMPLY : ((=(B12_12_2, B12_12_2) & cowlThing(B12_12_2)) => cowlThing(B12_12_2))
% 27.19/4.32 -> [176] ~(=(B12_12_2, B12_12_2) & cowlThing(B12_12_2))
% 27.19/4.32 -> [177] cowlThing(B12_12_2)
% 27.19/4.32
% 27.19/4.32 [176] BETA_NOT_AND : ~(=(B12_12_2, B12_12_2) & cowlThing(B12_12_2))
% 27.19/4.32 -> [193] ~=(B12_12_2, B12_12_2)
% 27.19/4.32 -> [194] ~cowlThing(B12_12_2)
% 27.19/4.32
% 27.19/4.32 [193] CLOSURE : ~=(B12_12_2, B12_12_2)
% 27.19/4.32
% 27.19/4.32 [194] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [249] ((=(B14_11_3, B14_11_3) & rp(B14_11_3, C15_11_3)) => rp(B14_11_3, C15_11_3))
% 27.19/4.32
% 27.19/4.32 [249] BETA_IMPLY : ((=(B14_11_3, B14_11_3) & rp(B14_11_3, C15_11_3)) => rp(B14_11_3, C15_11_3))
% 27.19/4.32 -> [252] ~(=(B14_11_3, B14_11_3) & rp(B14_11_3, C15_11_3))
% 27.19/4.32 -> [253] rp(B14_11_3, C15_11_3)
% 27.19/4.32
% 27.19/4.32 [253] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1260] ((=(B17_44_4, B17_44_4) & rp(C18_44_4, B17_44_4)) => rp(C18_44_4, B17_44_4))
% 27.19/4.32
% 27.19/4.32 [1260] BETA_IMPLY : ((=(B17_44_4, B17_44_4) & rp(C18_44_4, B17_44_4)) => rp(C18_44_4, B17_44_4))
% 27.19/4.32 -> [1272] ~(=(B17_44_4, B17_44_4) & rp(C18_44_4, B17_44_4))
% 27.19/4.32 -> [1273] rp(C18_44_4, B17_44_4)
% 27.19/4.32
% 27.19/4.32 [1272] BETA_NOT_AND : ~(=(B17_44_4, B17_44_4) & rp(C18_44_4, B17_44_4))
% 27.19/4.32 -> [1281] ~=(B17_44_4, B17_44_4)
% 27.19/4.32 -> [1282] ~rp(C18_44_4, B17_44_4)
% 27.19/4.32
% 27.19/4.32 [1281] CLOSURE : ~=(B17_44_4, B17_44_4)
% 27.19/4.32
% 27.19/4.32 [1282] CLOSURE : ~rp(C18_44_4, B17_44_4)
% 27.19/4.32
% 27.19/4.32 [1273] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1407] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1407] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1410] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1411] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1411] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1580] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1580] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1583] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1584] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1584] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1625] (cowlThing(X23_116_7) & ~cowlNothing(X23_116_7))
% 27.19/4.32
% 27.19/4.32 [1625] ALPHA_AND : (cowlThing(X23_116_7) & ~cowlNothing(X23_116_7))
% 27.19/4.32 -> [1627] cowlThing(X23_116_7), ~cowlNothing(X23_116_7)
% 27.19/4.32
% 27.19/4.32 [1627] CLOSURE : cowlThing(X23_116_7)
% 27.19/4.32
% 27.19/4.32 [1583] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1593] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1594] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1594] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1593] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1410] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1469] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1470] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1470] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1469] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [252] BETA_NOT_AND : ~(=(B14_11_3, B14_11_3) & rp(B14_11_3, C15_11_3))
% 27.19/4.32 -> [269] ~=(B14_11_3, B14_11_3)
% 27.19/4.32 -> [270] ~rp(B14_11_3, C15_11_3)
% 27.19/4.32
% 27.19/4.32 [269] CLOSURE : ~=(B14_11_3, B14_11_3)
% 27.19/4.32
% 27.19/4.32 [270] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [315] ((=(B17_13_4, B17_13_4) & rp(C18_13_4, B17_13_4)) => rp(C18_13_4, B17_13_4))
% 27.19/4.32
% 27.19/4.32 [315] BETA_IMPLY : ((=(B17_13_4, B17_13_4) & rp(C18_13_4, B17_13_4)) => rp(C18_13_4, B17_13_4))
% 27.19/4.32 -> [318] ~(=(B17_13_4, B17_13_4) & rp(C18_13_4, B17_13_4))
% 27.19/4.32 -> [319] rp(C18_13_4, B17_13_4)
% 27.19/4.32
% 27.19/4.32 [319] CLOSURE : rp(C18_13_4, B17_13_4)
% 27.19/4.32
% 27.19/4.32 [318] BETA_NOT_AND : ~(=(B17_13_4, B17_13_4) & rp(C18_13_4, B17_13_4))
% 27.19/4.32 -> [1810] ~=(B17_13_4, B17_13_4)
% 27.19/4.32 -> [1811] ~rp(C18_13_4, B17_13_4)
% 27.19/4.32
% 27.19/4.32 [1810] CLOSURE : ~=(B17_13_4, B17_13_4)
% 27.19/4.32
% 27.19/4.32 [1811] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1824] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1824] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1825] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1826] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1826] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1943] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1943] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1944] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1945] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1945] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2044] (cowlThing(X23_165_7) & ~cowlNothing(X23_165_7))
% 27.19/4.32
% 27.19/4.32 [2044] ALPHA_AND : (cowlThing(X23_165_7) & ~cowlNothing(X23_165_7))
% 27.19/4.32 -> [2047] cowlThing(X23_165_7), ~cowlNothing(X23_165_7)
% 27.19/4.32
% 27.19/4.32 [2047] CLOSURE : cowlThing(X23_165_7)
% 27.19/4.32
% 27.19/4.32 [1944] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1971] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1972] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1971] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1972] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1825] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1840] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1841] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1840] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1841] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [177] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [217] ((=(B14_10_3, B14_10_3) & rp(B14_10_3, C15_10_3)) => rp(B14_10_3, C15_10_3))
% 27.19/4.32
% 27.19/4.32 [217] BETA_IMPLY : ((=(B14_10_3, B14_10_3) & rp(B14_10_3, C15_10_3)) => rp(B14_10_3, C15_10_3))
% 27.19/4.32 -> [228] ~(=(B14_10_3, B14_10_3) & rp(B14_10_3, C15_10_3))
% 27.19/4.32 -> [229] rp(B14_10_3, C15_10_3)
% 27.19/4.32
% 27.19/4.32 [229] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [278] ((=(B17_11_4, B17_11_4) & rp(C18_11_4, B17_11_4)) => rp(C18_11_4, B17_11_4))
% 27.19/4.32
% 27.19/4.32 [278] BETA_IMPLY : ((=(B17_11_4, B17_11_4) & rp(C18_11_4, B17_11_4)) => rp(C18_11_4, B17_11_4))
% 27.19/4.32 -> [279] ~(=(B17_11_4, B17_11_4) & rp(C18_11_4, B17_11_4))
% 27.19/4.32 -> [280] rp(C18_11_4, B17_11_4)
% 27.19/4.32
% 27.19/4.32 [279] BETA_NOT_AND : ~(=(B17_11_4, B17_11_4) & rp(C18_11_4, B17_11_4))
% 27.19/4.32 -> [306] ~=(B17_11_4, B17_11_4)
% 27.19/4.32 -> [307] ~rp(C18_11_4, B17_11_4)
% 27.19/4.32
% 27.19/4.32 [307] CLOSURE : ~rp(C18_11_4, B17_11_4)
% 27.19/4.32
% 27.19/4.32 [306] CLOSURE : ~=(B17_11_4, B17_11_4)
% 27.19/4.32
% 27.19/4.32 [280] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [994] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [994] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [995] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [996] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [995] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1006] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1007] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1006] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1007] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [996] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1034] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1034] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1035] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1036] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1036] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1073] (cowlThing(X23_63_7) & ~cowlNothing(X23_63_7))
% 27.19/4.32
% 27.19/4.32 [1073] ALPHA_AND : (cowlThing(X23_63_7) & ~cowlNothing(X23_63_7))
% 27.19/4.32 -> [1078] cowlThing(X23_63_7), ~cowlNothing(X23_63_7)
% 27.19/4.32
% 27.19/4.32 [1078] CLOSURE : ~cowlNothing(X23_63_7)
% 27.19/4.32
% 27.19/4.32 [1035] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1048] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1049] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1049] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1048] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [228] BETA_NOT_AND : ~(=(B14_10_3, B14_10_3) & rp(B14_10_3, C15_10_3))
% 27.19/4.32 -> [244] ~=(B14_10_3, B14_10_3)
% 27.19/4.32 -> [245] ~rp(B14_10_3, C15_10_3)
% 27.19/4.32
% 27.19/4.32 [244] CLOSURE : ~=(B14_10_3, B14_10_3)
% 27.19/4.32
% 27.19/4.32 [245] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1269] ((=(B17_45_4, B17_45_4) & rp(C18_45_4, B17_45_4)) => rp(C18_45_4, B17_45_4))
% 27.19/4.32
% 27.19/4.32 [1269] BETA_IMPLY : ((=(B17_45_4, B17_45_4) & rp(C18_45_4, B17_45_4)) => rp(C18_45_4, B17_45_4))
% 27.19/4.32 -> [1290] ~(=(B17_45_4, B17_45_4) & rp(C18_45_4, B17_45_4))
% 27.19/4.32 -> [1291] rp(C18_45_4, B17_45_4)
% 27.19/4.32
% 27.19/4.32 [1291] CLOSURE : rp(C18_45_4, B17_45_4)
% 27.19/4.32
% 27.19/4.32 [1290] BETA_NOT_AND : ~(=(B17_45_4, B17_45_4) & rp(C18_45_4, B17_45_4))
% 27.19/4.32 -> [1766] ~=(B17_45_4, B17_45_4)
% 27.19/4.32 -> [1767] ~rp(C18_45_4, B17_45_4)
% 27.19/4.32
% 27.19/4.32 [1766] CLOSURE : ~=(B17_45_4, B17_45_4)
% 27.19/4.32
% 27.19/4.32 [1767] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1873] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1873] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1936] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1937] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1936] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1952] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1953] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1952] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1953] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1937] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1986] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1986] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1987] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1988] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1987] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2031] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2032] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2031] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2032] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1988] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2052] (cowlThing(X23_167_7) & ~cowlNothing(X23_167_7))
% 27.19/4.32
% 27.19/4.32 [2052] ALPHA_AND : (cowlThing(X23_167_7) & ~cowlNothing(X23_167_7))
% 27.19/4.32 -> [2055] cowlThing(X23_167_7), ~cowlNothing(X23_167_7)
% 27.19/4.32
% 27.19/4.32 [2055] CLOSURE : ~cowlNothing(X23_167_7)
% 27.19/4.32
% 27.19/4.32 [96] BETA_NOT_AND : ~(=(B10_7_1, B10_7_1) & cowlNothing(B10_7_1))
% 27.19/4.32 -> [109] ~=(B10_7_1, B10_7_1)
% 27.19/4.32 -> [110] ~cowlNothing(B10_7_1)
% 27.19/4.32
% 27.19/4.32 [109] CLOSURE : ~=(B10_7_1, B10_7_1)
% 27.19/4.32
% 27.19/4.32 [110] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [153] ((=(B12_11_2, B12_11_2) & cowlThing(B12_11_2)) => cowlThing(B12_11_2))
% 27.19/4.32
% 27.19/4.32 [153] BETA_IMPLY : ((=(B12_11_2, B12_11_2) & cowlThing(B12_11_2)) => cowlThing(B12_11_2))
% 27.19/4.32 -> [370] ~(=(B12_11_2, B12_11_2) & cowlThing(B12_11_2))
% 27.19/4.32 -> [371] cowlThing(B12_11_2)
% 27.19/4.32
% 27.19/4.32 [370] BETA_NOT_AND : ~(=(B12_11_2, B12_11_2) & cowlThing(B12_11_2))
% 27.19/4.32 -> [385] ~=(B12_11_2, B12_11_2)
% 27.19/4.32 -> [386] ~cowlThing(B12_11_2)
% 27.19/4.32
% 27.19/4.32 [385] CLOSURE : ~=(B12_11_2, B12_11_2)
% 27.19/4.32
% 27.19/4.32 [386] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [433] ((=(B14_17_3, B14_17_3) & rp(B14_17_3, C15_17_3)) => rp(B14_17_3, C15_17_3))
% 27.19/4.32
% 27.19/4.32 [433] BETA_IMPLY : ((=(B14_17_3, B14_17_3) & rp(B14_17_3, C15_17_3)) => rp(B14_17_3, C15_17_3))
% 27.19/4.32 -> [435] ~(=(B14_17_3, B14_17_3) & rp(B14_17_3, C15_17_3))
% 27.19/4.32 -> [436] rp(B14_17_3, C15_17_3)
% 27.19/4.32
% 27.19/4.32 [435] BETA_NOT_AND : ~(=(B14_17_3, B14_17_3) & rp(B14_17_3, C15_17_3))
% 27.19/4.32 -> [449] ~=(B14_17_3, B14_17_3)
% 27.19/4.32 -> [450] ~rp(B14_17_3, C15_17_3)
% 27.19/4.32
% 27.19/4.32 [449] CLOSURE : ~=(B14_17_3, B14_17_3)
% 27.19/4.32
% 27.19/4.32 [450] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [498] ((=(B17_24_4, B17_24_4) & rp(C18_24_4, B17_24_4)) => rp(C18_24_4, B17_24_4))
% 27.19/4.32
% 27.19/4.32 [498] BETA_IMPLY : ((=(B17_24_4, B17_24_4) & rp(C18_24_4, B17_24_4)) => rp(C18_24_4, B17_24_4))
% 27.19/4.32 -> [501] ~(=(B17_24_4, B17_24_4) & rp(C18_24_4, B17_24_4))
% 27.19/4.32 -> [502] rp(C18_24_4, B17_24_4)
% 27.19/4.32
% 27.19/4.32 [501] BETA_NOT_AND : ~(=(B17_24_4, B17_24_4) & rp(C18_24_4, B17_24_4))
% 27.19/4.32 -> [514] ~=(B17_24_4, B17_24_4)
% 27.19/4.32 -> [515] ~rp(C18_24_4, B17_24_4)
% 27.19/4.32
% 27.19/4.32 [514] CLOSURE : ~=(B17_24_4, B17_24_4)
% 27.19/4.32
% 27.19/4.32 [515] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1612] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1612] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1614] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1615] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1614] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1641] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1642] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1642] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1641] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1615] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1719] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1719] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1724] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1725] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1725] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1756] (cowlThing(X23_134_7) & ~cowlNothing(X23_134_7))
% 27.19/4.32
% 27.19/4.32 [1756] ALPHA_AND : (cowlThing(X23_134_7) & ~cowlNothing(X23_134_7))
% 27.19/4.32 -> [1757] cowlThing(X23_134_7), ~cowlNothing(X23_134_7)
% 27.19/4.32
% 27.19/4.32 [1757] CLOSURE : cowlThing(X23_134_7)
% 27.19/4.32
% 27.19/4.32 [1724] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1733] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1734] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1734] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1733] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [502] CLOSURE : rp(C18_24_4, B17_24_4)
% 27.19/4.32
% 27.19/4.32 [436] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [486] ((=(B17_23_4, B17_23_4) & rp(C18_23_4, B17_23_4)) => rp(C18_23_4, B17_23_4))
% 27.19/4.32
% 27.19/4.32 [486] BETA_IMPLY : ((=(B17_23_4, B17_23_4) & rp(C18_23_4, B17_23_4)) => rp(C18_23_4, B17_23_4))
% 27.19/4.32 -> [487] ~(=(B17_23_4, B17_23_4) & rp(C18_23_4, B17_23_4))
% 27.19/4.32 -> [488] rp(C18_23_4, B17_23_4)
% 27.19/4.32
% 27.19/4.32 [487] BETA_NOT_AND : ~(=(B17_23_4, B17_23_4) & rp(C18_23_4, B17_23_4))
% 27.19/4.32 -> [506] ~=(B17_23_4, B17_23_4)
% 27.19/4.32 -> [507] ~rp(C18_23_4, B17_23_4)
% 27.19/4.32
% 27.19/4.32 [507] CLOSURE : ~rp(C18_23_4, B17_23_4)
% 27.19/4.32
% 27.19/4.32 [506] CLOSURE : ~=(B17_23_4, B17_23_4)
% 27.19/4.32
% 27.19/4.32 [488] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1434] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1434] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1435] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1436] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1435] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1489] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1490] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1489] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1490] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1436] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1603] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1603] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1604] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1605] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1605] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1739] (cowlThing(X23_132_7) & ~cowlNothing(X23_132_7))
% 27.19/4.32
% 27.19/4.32 [1739] ALPHA_AND : (cowlThing(X23_132_7) & ~cowlNothing(X23_132_7))
% 27.19/4.32 -> [1740] cowlThing(X23_132_7), ~cowlNothing(X23_132_7)
% 27.19/4.32
% 27.19/4.32 [1740] CLOSURE : cowlThing(X23_132_7)
% 27.19/4.32
% 27.19/4.32 [1604] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1659] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1660] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1660] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1659] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [371] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [414] ((=(B14_14_3, B14_14_3) & rp(B14_14_3, C15_14_3)) => rp(B14_14_3, C15_14_3))
% 27.19/4.32
% 27.19/4.32 [414] BETA_IMPLY : ((=(B14_14_3, B14_14_3) & rp(B14_14_3, C15_14_3)) => rp(B14_14_3, C15_14_3))
% 27.19/4.32 -> [478] ~(=(B14_14_3, B14_14_3) & rp(B14_14_3, C15_14_3))
% 27.19/4.32 -> [479] rp(B14_14_3, C15_14_3)
% 27.19/4.32
% 27.19/4.32 [478] BETA_NOT_AND : ~(=(B14_14_3, B14_14_3) & rp(B14_14_3, C15_14_3))
% 27.19/4.32 -> [510] ~=(B14_14_3, B14_14_3)
% 27.19/4.32 -> [511] ~rp(B14_14_3, C15_14_3)
% 27.19/4.32
% 27.19/4.32 [510] CLOSURE : ~=(B14_14_3, B14_14_3)
% 27.19/4.32
% 27.19/4.32 [511] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [561] ((=(B17_28_4, B17_28_4) & rp(C18_28_4, B17_28_4)) => rp(C18_28_4, B17_28_4))
% 27.19/4.32
% 27.19/4.32 [561] BETA_IMPLY : ((=(B17_28_4, B17_28_4) & rp(C18_28_4, B17_28_4)) => rp(C18_28_4, B17_28_4))
% 27.19/4.32 -> [564] ~(=(B17_28_4, B17_28_4) & rp(C18_28_4, B17_28_4))
% 27.19/4.32 -> [565] rp(C18_28_4, B17_28_4)
% 27.19/4.32
% 27.19/4.32 [565] CLOSURE : rp(C18_28_4, B17_28_4)
% 27.19/4.32
% 27.19/4.32 [564] BETA_NOT_AND : ~(=(B17_28_4, B17_28_4) & rp(C18_28_4, B17_28_4))
% 27.19/4.32 -> [2088] ~=(B17_28_4, B17_28_4)
% 27.19/4.32 -> [2089] ~rp(C18_28_4, B17_28_4)
% 27.19/4.32
% 27.19/4.32 [2088] CLOSURE : ~=(B17_28_4, B17_28_4)
% 27.19/4.32
% 27.19/4.32 [2089] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2157] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2157] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2159] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2160] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2159] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2203] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2204] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2204] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2203] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2160] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2306] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2306] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2309] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2310] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2310] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2424] (cowlThing(X23_199_7) & ~cowlNothing(X23_199_7))
% 27.19/4.32
% 27.19/4.32 [2424] ALPHA_AND : (cowlThing(X23_199_7) & ~cowlNothing(X23_199_7))
% 27.19/4.32 -> [2425] cowlThing(X23_199_7), ~cowlNothing(X23_199_7)
% 27.19/4.32
% 27.19/4.32 [2425] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [2461] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2461] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2462] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2463] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2463] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2462] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2497] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2497] CLOSURE : ~~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2309] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2339] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2340] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2340] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2339] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [479] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [570] ((=(B17_30_4, B17_30_4) & rp(C18_30_4, B17_30_4)) => rp(C18_30_4, B17_30_4))
% 27.19/4.32
% 27.19/4.32 [570] BETA_IMPLY : ((=(B17_30_4, B17_30_4) & rp(C18_30_4, B17_30_4)) => rp(C18_30_4, B17_30_4))
% 27.19/4.32 -> [1818] ~(=(B17_30_4, B17_30_4) & rp(C18_30_4, B17_30_4))
% 27.19/4.32 -> [1819] rp(C18_30_4, B17_30_4)
% 27.19/4.32
% 27.19/4.32 [1818] BETA_NOT_AND : ~(=(B17_30_4, B17_30_4) & rp(C18_30_4, B17_30_4))
% 27.19/4.32 -> [1876] ~=(B17_30_4, B17_30_4)
% 27.19/4.32 -> [1877] ~rp(C18_30_4, B17_30_4)
% 27.19/4.32
% 27.19/4.32 [1877] CLOSURE : ~rp(C18_30_4, B17_30_4)
% 27.19/4.32
% 27.19/4.32 [1876] CLOSURE : ~=(B17_30_4, B17_30_4)
% 27.19/4.32
% 27.19/4.32 [1819] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2009] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2009] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2010] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2011] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2010] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2042] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2043] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2042] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2043] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2011] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2069] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2069] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2071] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2072] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2072] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2123] (cowlThing(X23_170_7) & ~cowlNothing(X23_170_7))
% 27.19/4.32
% 27.19/4.32 [2123] ALPHA_AND : (cowlThing(X23_170_7) & ~cowlNothing(X23_170_7))
% 27.19/4.32 -> [2124] cowlThing(X23_170_7), ~cowlNothing(X23_170_7)
% 27.19/4.32
% 27.19/4.32 [2124] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [2187] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2187] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2190] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2191] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2190] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2223] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2223] CLOSURE : ~~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2191] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2071] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2083] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2084] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2084] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2083] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [58] BETA_NOT_AND : ~(=(B8_4_0, B8_4_0) & cc(B8_4_0))
% 27.19/4.32 -> [85] ~=(B8_4_0, B8_4_0)
% 27.19/4.32 -> [86] ~cc(B8_4_0)
% 27.19/4.32
% 27.19/4.32 [85] CLOSURE : ~=(B8_4_0, B8_4_0)
% 27.19/4.32
% 27.19/4.32 [86] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [263] ((=(B10_8_1, B10_8_1) & cowlNothing(B10_8_1)) => cowlNothing(B10_8_1))
% 27.19/4.32
% 27.19/4.32 [263] BETA_IMPLY : ((=(B10_8_1, B10_8_1) & cowlNothing(B10_8_1)) => cowlNothing(B10_8_1))
% 27.19/4.32 -> [265] ~(=(B10_8_1, B10_8_1) & cowlNothing(B10_8_1))
% 27.19/4.32 -> [266] cowlNothing(B10_8_1)
% 27.19/4.32
% 27.19/4.32 [266] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [929] ((=(B12_14_2, B12_14_2) & cowlThing(B12_14_2)) => cowlThing(B12_14_2))
% 27.19/4.32
% 27.19/4.32 [929] BETA_IMPLY : ((=(B12_14_2, B12_14_2) & cowlThing(B12_14_2)) => cowlThing(B12_14_2))
% 27.19/4.32 -> [930] ~(=(B12_14_2, B12_14_2) & cowlThing(B12_14_2))
% 27.19/4.32 -> [931] cowlThing(B12_14_2)
% 27.19/4.32
% 27.19/4.32 [931] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [997] ((=(B14_24_3, B14_24_3) & rp(B14_24_3, C15_24_3)) => rp(B14_24_3, C15_24_3))
% 27.19/4.32
% 27.19/4.32 [997] BETA_IMPLY : ((=(B14_24_3, B14_24_3) & rp(B14_24_3, C15_24_3)) => rp(B14_24_3, C15_24_3))
% 27.19/4.32 -> [998] ~(=(B14_24_3, B14_24_3) & rp(B14_24_3, C15_24_3))
% 27.19/4.32 -> [999] rp(B14_24_3, C15_24_3)
% 27.19/4.32
% 27.19/4.32 [999] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1072] ((=(B17_40_4, B17_40_4) & rp(C18_40_4, B17_40_4)) => rp(C18_40_4, B17_40_4))
% 27.19/4.32
% 27.19/4.32 [1072] BETA_IMPLY : ((=(B17_40_4, B17_40_4) & rp(C18_40_4, B17_40_4)) => rp(C18_40_4, B17_40_4))
% 27.19/4.32 -> [1076] ~(=(B17_40_4, B17_40_4) & rp(C18_40_4, B17_40_4))
% 27.19/4.32 -> [1077] rp(C18_40_4, B17_40_4)
% 27.19/4.32
% 27.19/4.32 [1076] BETA_NOT_AND : ~(=(B17_40_4, B17_40_4) & rp(C18_40_4, B17_40_4))
% 27.19/4.32 -> [1088] ~=(B17_40_4, B17_40_4)
% 27.19/4.32 -> [1089] ~rp(C18_40_4, B17_40_4)
% 27.19/4.32
% 27.19/4.32 [1088] CLOSURE : ~=(B17_40_4, B17_40_4)
% 27.19/4.32
% 27.19/4.32 [1089] CLOSURE : ~rp(C18_40_4, B17_40_4)
% 27.19/4.32
% 27.19/4.32 [1077] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1090] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1090] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1091] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1092] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1091] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1098] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1099] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1099] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1098] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1092] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1118] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1118] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1119] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1120] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1120] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1152] (cowlThing(X23_76_7) & ~cowlNothing(X23_76_7))
% 27.19/4.32
% 27.19/4.32 [1152] ALPHA_AND : (cowlThing(X23_76_7) & ~cowlNothing(X23_76_7))
% 27.19/4.32 -> [1156] cowlThing(X23_76_7), ~cowlNothing(X23_76_7)
% 27.19/4.32
% 27.19/4.32 [1156] CLOSURE : ~cowlNothing(X23_76_7)
% 27.19/4.32
% 27.19/4.32 [1119] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1126] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1127] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1126] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1127] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [998] BETA_NOT_AND : ~(=(B14_24_3, B14_24_3) & rp(B14_24_3, C15_24_3))
% 27.19/4.32 -> [1053] ~=(B14_24_3, B14_24_3)
% 27.19/4.32 -> [1054] ~rp(B14_24_3, C15_24_3)
% 27.19/4.32
% 27.19/4.32 [1053] CLOSURE : ~=(B14_24_3, B14_24_3)
% 27.19/4.32
% 27.19/4.32 [1054] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1100] ((=(B17_41_4, B17_41_4) & rp(C18_41_4, B17_41_4)) => rp(C18_41_4, B17_41_4))
% 27.19/4.32
% 27.19/4.32 [1100] BETA_IMPLY : ((=(B17_41_4, B17_41_4) & rp(C18_41_4, B17_41_4)) => rp(C18_41_4, B17_41_4))
% 27.19/4.32 -> [1101] ~(=(B17_41_4, B17_41_4) & rp(C18_41_4, B17_41_4))
% 27.19/4.32 -> [1102] rp(C18_41_4, B17_41_4)
% 27.19/4.32
% 27.19/4.32 [1102] CLOSURE : rp(C18_41_4, B17_41_4)
% 27.19/4.32
% 27.19/4.32 [1101] BETA_NOT_AND : ~(=(B17_41_4, B17_41_4) & rp(C18_41_4, B17_41_4))
% 27.19/4.32 -> [1254] ~=(B17_41_4, B17_41_4)
% 27.19/4.32 -> [1255] ~rp(C18_41_4, B17_41_4)
% 27.19/4.32
% 27.19/4.32 [1254] CLOSURE : ~=(B17_41_4, B17_41_4)
% 27.19/4.32
% 27.19/4.32 [1255] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1261] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1261] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1321] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1322] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1321] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1399] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1400] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1399] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1400] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1322] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1703] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1703] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1704] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1705] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1705] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1765] (cowlThing(X23_135_7) & ~cowlNothing(X23_135_7))
% 27.19/4.32
% 27.19/4.32 [1765] ALPHA_AND : (cowlThing(X23_135_7) & ~cowlNothing(X23_135_7))
% 27.19/4.32 -> [1768] cowlThing(X23_135_7), ~cowlNothing(X23_135_7)
% 27.19/4.32
% 27.19/4.32 [1768] CLOSURE : ~cowlNothing(X23_135_7)
% 27.19/4.32
% 27.19/4.32 [1704] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1730] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1731] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1730] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1731] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [930] BETA_NOT_AND : ~(=(B12_14_2, B12_14_2) & cowlThing(B12_14_2))
% 27.19/4.32 -> [961] ~=(B12_14_2, B12_14_2)
% 27.19/4.32 -> [962] ~cowlThing(B12_14_2)
% 27.19/4.32
% 27.19/4.32 [961] CLOSURE : ~=(B12_14_2, B12_14_2)
% 27.19/4.32
% 27.19/4.32 [962] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [1066] ((=(B14_25_3, B14_25_3) & rp(B14_25_3, C15_25_3)) => rp(B14_25_3, C15_25_3))
% 27.19/4.32
% 27.19/4.32 [1066] BETA_IMPLY : ((=(B14_25_3, B14_25_3) & rp(B14_25_3, C15_25_3)) => rp(B14_25_3, C15_25_3))
% 27.19/4.32 -> [1068] ~(=(B14_25_3, B14_25_3) & rp(B14_25_3, C15_25_3))
% 27.19/4.32 -> [1069] rp(B14_25_3, C15_25_3)
% 27.19/4.32
% 27.19/4.32 [1069] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1148] ((=(B17_42_4, B17_42_4) & rp(C18_42_4, B17_42_4)) => rp(C18_42_4, B17_42_4))
% 27.19/4.32
% 27.19/4.32 [1148] BETA_IMPLY : ((=(B17_42_4, B17_42_4) & rp(C18_42_4, B17_42_4)) => rp(C18_42_4, B17_42_4))
% 27.19/4.32 -> [1149] ~(=(B17_42_4, B17_42_4) & rp(C18_42_4, B17_42_4))
% 27.19/4.32 -> [1150] rp(C18_42_4, B17_42_4)
% 27.19/4.32
% 27.19/4.32 [1149] BETA_NOT_AND : ~(=(B17_42_4, B17_42_4) & rp(C18_42_4, B17_42_4))
% 27.19/4.32 -> [1157] ~=(B17_42_4, B17_42_4)
% 27.19/4.32 -> [1158] ~rp(C18_42_4, B17_42_4)
% 27.19/4.32
% 27.19/4.32 [1157] CLOSURE : ~=(B17_42_4, B17_42_4)
% 27.19/4.32
% 27.19/4.32 [1158] CLOSURE : ~rp(C18_42_4, B17_42_4)
% 27.19/4.32
% 27.19/4.32 [1150] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1171] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1171] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1174] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1175] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1174] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1182] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1183] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1182] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1183] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1175] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1201] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1201] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1202] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1203] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1203] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1223] (cowlThing(X23_82_7) & ~cowlNothing(X23_82_7))
% 27.19/4.32
% 27.19/4.32 [1223] ALPHA_AND : (cowlThing(X23_82_7) & ~cowlNothing(X23_82_7))
% 27.19/4.32 -> [1225] cowlThing(X23_82_7), ~cowlNothing(X23_82_7)
% 27.19/4.32
% 27.19/4.32 [1225] CLOSURE : cowlThing(X23_82_7)
% 27.19/4.32
% 27.19/4.32 [1202] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1208] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1209] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1208] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1209] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1068] BETA_NOT_AND : ~(=(B14_25_3, B14_25_3) & rp(B14_25_3, C15_25_3))
% 27.19/4.32 -> [1106] ~=(B14_25_3, B14_25_3)
% 27.19/4.32 -> [1107] ~rp(B14_25_3, C15_25_3)
% 27.19/4.32
% 27.19/4.32 [1106] CLOSURE : ~=(B14_25_3, B14_25_3)
% 27.19/4.32
% 27.19/4.32 [1107] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1193] ((=(B17_43_4, B17_43_4) & rp(C18_43_4, B17_43_4)) => rp(C18_43_4, B17_43_4))
% 27.19/4.32
% 27.19/4.32 [1193] BETA_IMPLY : ((=(B17_43_4, B17_43_4) & rp(C18_43_4, B17_43_4)) => rp(C18_43_4, B17_43_4))
% 27.19/4.32 -> [1194] ~(=(B17_43_4, B17_43_4) & rp(C18_43_4, B17_43_4))
% 27.19/4.32 -> [1195] rp(C18_43_4, B17_43_4)
% 27.19/4.32
% 27.19/4.32 [1195] CLOSURE : rp(C18_43_4, B17_43_4)
% 27.19/4.32
% 27.19/4.32 [1194] BETA_NOT_AND : ~(=(B17_43_4, B17_43_4) & rp(C18_43_4, B17_43_4))
% 27.19/4.32 -> [1934] ~=(B17_43_4, B17_43_4)
% 27.19/4.32 -> [1935] ~rp(C18_43_4, B17_43_4)
% 27.19/4.32
% 27.19/4.32 [1934] CLOSURE : ~=(B17_43_4, B17_43_4)
% 27.19/4.32
% 27.19/4.32 [1935] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1957] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1957] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1961] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1962] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1961] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1967] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1968] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1967] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1968] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1962] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1977] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1977] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1978] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1979] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1979] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2026] (cowlThing(X23_163_7) & ~cowlNothing(X23_163_7))
% 27.19/4.32
% 27.19/4.32 [2026] ALPHA_AND : (cowlThing(X23_163_7) & ~cowlNothing(X23_163_7))
% 27.19/4.32 -> [2029] cowlThing(X23_163_7), ~cowlNothing(X23_163_7)
% 27.19/4.32
% 27.19/4.32 [2029] CLOSURE : cowlThing(X23_163_7)
% 27.19/4.32
% 27.19/4.32 [1978] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1989] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1990] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1990] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1989] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [265] BETA_NOT_AND : ~(=(B10_8_1, B10_8_1) & cowlNothing(B10_8_1))
% 27.19/4.32 -> [297] ~=(B10_8_1, B10_8_1)
% 27.19/4.32 -> [298] ~cowlNothing(B10_8_1)
% 27.19/4.32
% 27.19/4.32 [297] CLOSURE : ~=(B10_8_1, B10_8_1)
% 27.19/4.32
% 27.19/4.32 [298] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [1234] ((=(B12_15_2, B12_15_2) & cowlThing(B12_15_2)) => cowlThing(B12_15_2))
% 27.19/4.32
% 27.19/4.32 [1234] BETA_IMPLY : ((=(B12_15_2, B12_15_2) & cowlThing(B12_15_2)) => cowlThing(B12_15_2))
% 27.19/4.32 -> [1236] ~(=(B12_15_2, B12_15_2) & cowlThing(B12_15_2))
% 27.19/4.32 -> [1237] cowlThing(B12_15_2)
% 27.19/4.32
% 27.19/4.32 [1237] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [1280] ((=(B14_26_3, B14_26_3) & rp(B14_26_3, C15_26_3)) => rp(B14_26_3, C15_26_3))
% 27.19/4.32
% 27.19/4.32 [1280] BETA_IMPLY : ((=(B14_26_3, B14_26_3) & rp(B14_26_3, C15_26_3)) => rp(B14_26_3, C15_26_3))
% 27.19/4.32 -> [1283] ~(=(B14_26_3, B14_26_3) & rp(B14_26_3, C15_26_3))
% 27.19/4.32 -> [1284] rp(B14_26_3, C15_26_3)
% 27.19/4.32
% 27.19/4.32 [1284] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1496] ((=(B17_52_4, B17_52_4) & rp(C18_52_4, B17_52_4)) => rp(C18_52_4, B17_52_4))
% 27.19/4.32
% 27.19/4.32 [1496] BETA_IMPLY : ((=(B17_52_4, B17_52_4) & rp(C18_52_4, B17_52_4)) => rp(C18_52_4, B17_52_4))
% 27.19/4.32 -> [1497] ~(=(B17_52_4, B17_52_4) & rp(C18_52_4, B17_52_4))
% 27.19/4.32 -> [1498] rp(C18_52_4, B17_52_4)
% 27.19/4.32
% 27.19/4.32 [1497] BETA_NOT_AND : ~(=(B17_52_4, B17_52_4) & rp(C18_52_4, B17_52_4))
% 27.19/4.32 -> [1505] ~=(B17_52_4, B17_52_4)
% 27.19/4.32 -> [1506] ~rp(C18_52_4, B17_52_4)
% 27.19/4.32
% 27.19/4.32 [1505] CLOSURE : ~=(B17_52_4, B17_52_4)
% 27.19/4.32
% 27.19/4.32 [1506] CLOSURE : ~rp(C18_52_4, B17_52_4)
% 27.19/4.32
% 27.19/4.32 [1498] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1525] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1525] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1526] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1527] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1526] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1533] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1534] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1533] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1534] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1527] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1563] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1563] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1564] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1565] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1565] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1608] (cowlThing(X23_112_7) & ~cowlNothing(X23_112_7))
% 27.19/4.32
% 27.19/4.32 [1608] ALPHA_AND : (cowlThing(X23_112_7) & ~cowlNothing(X23_112_7))
% 27.19/4.32 -> [1609] cowlThing(X23_112_7), ~cowlNothing(X23_112_7)
% 27.19/4.32
% 27.19/4.32 [1609] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [1647] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1647] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1649] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [1650] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1650] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1649] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [1681] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1681] CLOSURE : ~~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1564] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1569] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1570] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1570] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1569] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1283] BETA_NOT_AND : ~(=(B14_26_3, B14_26_3) & rp(B14_26_3, C15_26_3))
% 27.19/4.32 -> [1294] ~=(B14_26_3, B14_26_3)
% 27.19/4.32 -> [1295] ~rp(B14_26_3, C15_26_3)
% 27.19/4.32
% 27.19/4.32 [1294] CLOSURE : ~=(B14_26_3, B14_26_3)
% 27.19/4.32
% 27.19/4.32 [1295] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1345] ((=(B17_49_4, B17_49_4) & rp(C18_49_4, B17_49_4)) => rp(C18_49_4, B17_49_4))
% 27.19/4.32
% 27.19/4.32 [1345] BETA_IMPLY : ((=(B17_49_4, B17_49_4) & rp(C18_49_4, B17_49_4)) => rp(C18_49_4, B17_49_4))
% 27.19/4.32 -> [1346] ~(=(B17_49_4, B17_49_4) & rp(C18_49_4, B17_49_4))
% 27.19/4.32 -> [1347] rp(C18_49_4, B17_49_4)
% 27.19/4.32
% 27.19/4.32 [1346] BETA_NOT_AND : ~(=(B17_49_4, B17_49_4) & rp(C18_49_4, B17_49_4))
% 27.19/4.32 -> [1369] ~=(B17_49_4, B17_49_4)
% 27.19/4.32 -> [1370] ~rp(C18_49_4, B17_49_4)
% 27.19/4.32
% 27.19/4.32 [1369] CLOSURE : ~=(B17_49_4, B17_49_4)
% 27.19/4.32
% 27.19/4.32 [1370] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1418] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1418] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1419] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1420] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1420] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1454] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1454] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1455] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1456] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1455] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1501] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1502] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1501] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1502] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1456] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1507] (cowlThing(X23_106_7) & ~cowlNothing(X23_106_7))
% 27.19/4.32
% 27.19/4.32 [1507] ALPHA_AND : (cowlThing(X23_106_7) & ~cowlNothing(X23_106_7))
% 27.19/4.32 -> [1509] cowlThing(X23_106_7), ~cowlNothing(X23_106_7)
% 27.19/4.32
% 27.19/4.32 [1509] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [1530] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1530] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1531] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [1532] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1532] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1531] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [1543] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1543] CLOSURE : ~~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1419] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1432] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1433] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1432] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1433] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1347] CLOSURE : rp(C18_49_4, B17_49_4)
% 27.19/4.32
% 27.19/4.32 [1236] BETA_NOT_AND : ~(=(B12_15_2, B12_15_2) & cowlThing(B12_15_2))
% 27.19/4.32 -> [1262] ~=(B12_15_2, B12_15_2)
% 27.19/4.32 -> [1263] ~cowlThing(B12_15_2)
% 27.19/4.32
% 27.19/4.32 [1262] CLOSURE : ~=(B12_15_2, B12_15_2)
% 27.19/4.32
% 27.19/4.32 [1263] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [1423] ((=(B14_27_3, B14_27_3) & rp(B14_27_3, C15_27_3)) => rp(B14_27_3, C15_27_3))
% 27.19/4.32
% 27.19/4.32 [1423] BETA_IMPLY : ((=(B14_27_3, B14_27_3) & rp(B14_27_3, C15_27_3)) => rp(B14_27_3, C15_27_3))
% 27.19/4.32 -> [1424] ~(=(B14_27_3, B14_27_3) & rp(B14_27_3, C15_27_3))
% 27.19/4.32 -> [1425] rp(B14_27_3, C15_27_3)
% 27.19/4.32
% 27.19/4.32 [1425] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1571] ((=(B17_54_4, B17_54_4) & rp(C18_54_4, B17_54_4)) => rp(C18_54_4, B17_54_4))
% 27.19/4.32
% 27.19/4.32 [1571] BETA_IMPLY : ((=(B17_54_4, B17_54_4) & rp(C18_54_4, B17_54_4)) => rp(C18_54_4, B17_54_4))
% 27.19/4.32 -> [1576] ~(=(B17_54_4, B17_54_4) & rp(C18_54_4, B17_54_4))
% 27.19/4.32 -> [1577] rp(C18_54_4, B17_54_4)
% 27.19/4.32
% 27.19/4.32 [1576] BETA_NOT_AND : ~(=(B17_54_4, B17_54_4) & rp(C18_54_4, B17_54_4))
% 27.19/4.32 -> [1639] ~=(B17_54_4, B17_54_4)
% 27.19/4.32 -> [1640] ~rp(C18_54_4, B17_54_4)
% 27.19/4.32
% 27.19/4.32 [1640] CLOSURE : ~rp(C18_54_4, B17_54_4)
% 27.19/4.32
% 27.19/4.32 [1639] CLOSURE : ~=(B17_54_4, B17_54_4)
% 27.19/4.32
% 27.19/4.32 [1577] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1751] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1751] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1752] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1753] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1752] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1784] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1785] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1784] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1785] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1753] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1815] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1815] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1816] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1817] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1817] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2156] (cowlThing(X23_173_7) & ~cowlNothing(X23_173_7))
% 27.19/4.32
% 27.19/4.32 [2156] ALPHA_AND : (cowlThing(X23_173_7) & ~cowlNothing(X23_173_7))
% 27.19/4.32 -> [2158] cowlThing(X23_173_7), ~cowlNothing(X23_173_7)
% 27.19/4.32
% 27.19/4.32 [2158] CLOSURE : cowlThing(X23_173_7)
% 27.19/4.32
% 27.19/4.32 [1816] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1889] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1890] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1890] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1889] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1424] BETA_NOT_AND : ~(=(B14_27_3, B14_27_3) & rp(B14_27_3, C15_27_3))
% 27.19/4.32 -> [1483] ~=(B14_27_3, B14_27_3)
% 27.19/4.32 -> [1484] ~rp(B14_27_3, C15_27_3)
% 27.19/4.32
% 27.19/4.32 [1483] CLOSURE : ~=(B14_27_3, B14_27_3)
% 27.19/4.32
% 27.19/4.32 [1484] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1632] ((=(B17_55_4, B17_55_4) & rp(C18_55_4, B17_55_4)) => rp(C18_55_4, B17_55_4))
% 27.19/4.32
% 27.19/4.32 [1632] BETA_IMPLY : ((=(B17_55_4, B17_55_4) & rp(C18_55_4, B17_55_4)) => rp(C18_55_4, B17_55_4))
% 27.19/4.32 -> [1633] ~(=(B17_55_4, B17_55_4) & rp(C18_55_4, B17_55_4))
% 27.19/4.32 -> [1634] rp(C18_55_4, B17_55_4)
% 27.19/4.32
% 27.19/4.32 [1633] BETA_NOT_AND : ~(=(B17_55_4, B17_55_4) & rp(C18_55_4, B17_55_4))
% 27.19/4.32 -> [1679] ~=(B17_55_4, B17_55_4)
% 27.19/4.32 -> [1680] ~rp(C18_55_4, B17_55_4)
% 27.19/4.32
% 27.19/4.32 [1679] CLOSURE : ~=(B17_55_4, B17_55_4)
% 27.19/4.32
% 27.19/4.32 [1680] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1771] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1771] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1772] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1773] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1772] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1802] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1803] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1802] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1803] CLOSURE : ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1773] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1848] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1848] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1851] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1852] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1852] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1939] (cowlThing(X23_158_7) & ~cowlNothing(X23_158_7))
% 27.19/4.32
% 27.19/4.32 [1939] ALPHA_AND : (cowlThing(X23_158_7) & ~cowlNothing(X23_158_7))
% 27.19/4.32 -> [1942] cowlThing(X23_158_7), ~cowlNothing(X23_158_7)
% 27.19/4.32
% 27.19/4.32 [1942] CLOSURE : cowlThing(X23_158_7)
% 27.19/4.32
% 27.19/4.32 [1851] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1870] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1871] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1871] CLOSURE : ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1870] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1634] CLOSURE : rp(C18_55_4, B17_55_4)
% 27.19/4.32
% 27.19/4.32 [9] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8)))
% 27.19/4.32 -> [16] ((=(B8_0_0, B8_0_0) & cc(B8_0_0)) => cc(B8_0_0))
% 27.19/4.32
% 27.19/4.32 [16] BETA_IMPLY : ((=(B8_0_0, B8_0_0) & cc(B8_0_0)) => cc(B8_0_0))
% 27.19/4.32 -> [22] ~(=(B8_0_0, B8_0_0) & cc(B8_0_0))
% 27.19/4.32 -> [23] cc(B8_0_0)
% 27.19/4.32
% 27.19/4.32 [23] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [40] ((=(B10_1_1, B10_1_1) & cowlNothing(B10_1_1)) => cowlNothing(B10_1_1))
% 27.19/4.32
% 27.19/4.32 [40] BETA_IMPLY : ((=(B10_1_1, B10_1_1) & cowlNothing(B10_1_1)) => cowlNothing(B10_1_1))
% 27.19/4.32 -> [45] ~(=(B10_1_1, B10_1_1) & cowlNothing(B10_1_1))
% 27.19/4.32 -> [46] cowlNothing(B10_1_1)
% 27.19/4.32
% 27.19/4.32 [46] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [575] ((=(B12_13_2, B12_13_2) & cowlThing(B12_13_2)) => cowlThing(B12_13_2))
% 27.19/4.32
% 27.19/4.32 [575] BETA_IMPLY : ((=(B12_13_2, B12_13_2) & cowlThing(B12_13_2)) => cowlThing(B12_13_2))
% 27.19/4.32 -> [576] ~(=(B12_13_2, B12_13_2) & cowlThing(B12_13_2))
% 27.19/4.32 -> [577] cowlThing(B12_13_2)
% 27.19/4.32
% 27.19/4.32 [576] BETA_NOT_AND : ~(=(B12_13_2, B12_13_2) & cowlThing(B12_13_2))
% 27.19/4.32 -> [585] ~=(B12_13_2, B12_13_2)
% 27.19/4.32 -> [586] ~cowlThing(B12_13_2)
% 27.19/4.32
% 27.19/4.32 [585] CLOSURE : ~=(B12_13_2, B12_13_2)
% 27.19/4.32
% 27.19/4.32 [586] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [602] ((=(B14_21_3, B14_21_3) & rp(B14_21_3, C15_21_3)) => rp(B14_21_3, C15_21_3))
% 27.19/4.32
% 27.19/4.32 [602] BETA_IMPLY : ((=(B14_21_3, B14_21_3) & rp(B14_21_3, C15_21_3)) => rp(B14_21_3, C15_21_3))
% 27.19/4.32 -> [605] ~(=(B14_21_3, B14_21_3) & rp(B14_21_3, C15_21_3))
% 27.19/4.32 -> [606] rp(B14_21_3, C15_21_3)
% 27.19/4.32
% 27.19/4.32 [605] BETA_NOT_AND : ~(=(B14_21_3, B14_21_3) & rp(B14_21_3, C15_21_3))
% 27.19/4.32 -> [612] ~=(B14_21_3, B14_21_3)
% 27.19/4.32 -> [613] ~rp(B14_21_3, C15_21_3)
% 27.19/4.32
% 27.19/4.32 [612] CLOSURE : ~=(B14_21_3, B14_21_3)
% 27.19/4.32
% 27.19/4.32 [613] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [646] ((=(B17_35_4, B17_35_4) & rp(C18_35_4, B17_35_4)) => rp(C18_35_4, B17_35_4))
% 27.19/4.32
% 27.19/4.32 [646] BETA_IMPLY : ((=(B17_35_4, B17_35_4) & rp(C18_35_4, B17_35_4)) => rp(C18_35_4, B17_35_4))
% 27.19/4.32 -> [648] ~(=(B17_35_4, B17_35_4) & rp(C18_35_4, B17_35_4))
% 27.19/4.32 -> [649] rp(C18_35_4, B17_35_4)
% 27.19/4.32
% 27.19/4.32 [649] CLOSURE : rp(C18_35_4, B17_35_4)
% 27.19/4.32
% 27.19/4.32 [648] BETA_NOT_AND : ~(=(B17_35_4, B17_35_4) & rp(C18_35_4, B17_35_4))
% 27.19/4.32 -> [974] ~=(B17_35_4, B17_35_4)
% 27.19/4.32 -> [975] ~rp(C18_35_4, B17_35_4)
% 27.19/4.32
% 27.19/4.32 [974] CLOSURE : ~=(B17_35_4, B17_35_4)
% 27.19/4.32
% 27.19/4.32 [975] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [989] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [989] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [990] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [991] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [991] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [990] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1286] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1287] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1286] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1287] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1328] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1328] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1330] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1331] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1331] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1330] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1481] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1482] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1481] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1482] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1493] (cowlThing(X23_104_7) & ~cowlNothing(X23_104_7))
% 27.19/4.32
% 27.19/4.32 [1493] ALPHA_AND : (cowlThing(X23_104_7) & ~cowlNothing(X23_104_7))
% 27.19/4.32 -> [1495] cowlThing(X23_104_7), ~cowlNothing(X23_104_7)
% 27.19/4.32
% 27.19/4.32 [1495] CLOSURE : cowlThing(X23_104_7)
% 27.19/4.32
% 27.19/4.32 [606] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [627] ((=(B17_32_4, B17_32_4) & rp(C18_32_4, B17_32_4)) => rp(C18_32_4, B17_32_4))
% 27.19/4.32
% 27.19/4.32 [627] BETA_IMPLY : ((=(B17_32_4, B17_32_4) & rp(C18_32_4, B17_32_4)) => rp(C18_32_4, B17_32_4))
% 27.19/4.32 -> [630] ~(=(B17_32_4, B17_32_4) & rp(C18_32_4, B17_32_4))
% 27.19/4.32 -> [631] rp(C18_32_4, B17_32_4)
% 27.19/4.32
% 27.19/4.32 [630] BETA_NOT_AND : ~(=(B17_32_4, B17_32_4) & rp(C18_32_4, B17_32_4))
% 27.19/4.32 -> [660] ~=(B17_32_4, B17_32_4)
% 27.19/4.32 -> [661] ~rp(C18_32_4, B17_32_4)
% 27.19/4.32
% 27.19/4.32 [661] CLOSURE : ~rp(C18_32_4, B17_32_4)
% 27.19/4.32
% 27.19/4.32 [660] CLOSURE : ~=(B17_32_4, B17_32_4)
% 27.19/4.32
% 27.19/4.32 [631] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [686] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [686] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [689] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [690] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [690] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [689] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1927] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1928] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1927] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1928] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1949] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1949] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1950] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1951] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1951] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1950] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2004] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2005] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2004] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2005] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2024] (cowlThing(X23_162_7) & ~cowlNothing(X23_162_7))
% 27.19/4.32
% 27.19/4.32 [2024] ALPHA_AND : (cowlThing(X23_162_7) & ~cowlNothing(X23_162_7))
% 27.19/4.32 -> [2025] cowlThing(X23_162_7), ~cowlNothing(X23_162_7)
% 27.19/4.32
% 27.19/4.32 [2025] CLOSURE : cowlThing(X23_162_7)
% 27.19/4.32
% 27.19/4.32 [577] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [621] ((=(B14_22_3, B14_22_3) & rp(B14_22_3, C15_22_3)) => rp(B14_22_3, C15_22_3))
% 27.19/4.32
% 27.19/4.32 [621] BETA_IMPLY : ((=(B14_22_3, B14_22_3) & rp(B14_22_3, C15_22_3)) => rp(B14_22_3, C15_22_3))
% 27.19/4.32 -> [624] ~(=(B14_22_3, B14_22_3) & rp(B14_22_3, C15_22_3))
% 27.19/4.32 -> [625] rp(B14_22_3, C15_22_3)
% 27.19/4.32
% 27.19/4.32 [625] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [666] ((=(B17_36_4, B17_36_4) & rp(C18_36_4, B17_36_4)) => rp(C18_36_4, B17_36_4))
% 27.19/4.32
% 27.19/4.32 [666] BETA_IMPLY : ((=(B17_36_4, B17_36_4) & rp(C18_36_4, B17_36_4)) => rp(C18_36_4, B17_36_4))
% 27.19/4.32 -> [667] ~(=(B17_36_4, B17_36_4) & rp(C18_36_4, B17_36_4))
% 27.19/4.32 -> [668] rp(C18_36_4, B17_36_4)
% 27.19/4.32
% 27.19/4.32 [667] BETA_NOT_AND : ~(=(B17_36_4, B17_36_4) & rp(C18_36_4, B17_36_4))
% 27.19/4.32 -> [681] ~=(B17_36_4, B17_36_4)
% 27.19/4.32 -> [682] ~rp(C18_36_4, B17_36_4)
% 27.19/4.32
% 27.19/4.32 [682] CLOSURE : ~rp(C18_36_4, B17_36_4)
% 27.19/4.32
% 27.19/4.32 [681] CLOSURE : ~=(B17_36_4, B17_36_4)
% 27.19/4.32
% 27.19/4.32 [668] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [708] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [708] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [710] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [711] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [711] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [710] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [853] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [854] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [853] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [854] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [875] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [875] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [876] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [877] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [877] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [876] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [987] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [988] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [987] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [988] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1011] (cowlThing(X23_57_7) & ~cowlNothing(X23_57_7))
% 27.19/4.32
% 27.19/4.32 [1011] ALPHA_AND : (cowlThing(X23_57_7) & ~cowlNothing(X23_57_7))
% 27.19/4.32 -> [1012] cowlThing(X23_57_7), ~cowlNothing(X23_57_7)
% 27.19/4.32
% 27.19/4.32 [1012] CLOSURE : ~cowlNothing(X23_57_7)
% 27.19/4.32
% 27.19/4.32 [624] BETA_NOT_AND : ~(=(B14_22_3, B14_22_3) & rp(B14_22_3, C15_22_3))
% 27.19/4.32 -> [633] ~=(B14_22_3, B14_22_3)
% 27.19/4.32 -> [634] ~rp(B14_22_3, C15_22_3)
% 27.19/4.32
% 27.19/4.32 [633] CLOSURE : ~=(B14_22_3, B14_22_3)
% 27.19/4.32
% 27.19/4.32 [634] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [675] ((=(B17_37_4, B17_37_4) & rp(C18_37_4, B17_37_4)) => rp(C18_37_4, B17_37_4))
% 27.19/4.32
% 27.19/4.32 [675] BETA_IMPLY : ((=(B17_37_4, B17_37_4) & rp(C18_37_4, B17_37_4)) => rp(C18_37_4, B17_37_4))
% 27.19/4.32 -> [676] ~(=(B17_37_4, B17_37_4) & rp(C18_37_4, B17_37_4))
% 27.19/4.32 -> [677] rp(C18_37_4, B17_37_4)
% 27.19/4.32
% 27.19/4.32 [677] CLOSURE : rp(C18_37_4, B17_37_4)
% 27.19/4.32
% 27.19/4.32 [676] BETA_NOT_AND : ~(=(B17_37_4, B17_37_4) & rp(C18_37_4, B17_37_4))
% 27.19/4.32 -> [1808] ~=(B17_37_4, B17_37_4)
% 27.19/4.32 -> [1809] ~rp(C18_37_4, B17_37_4)
% 27.19/4.32
% 27.19/4.32 [1808] CLOSURE : ~=(B17_37_4, B17_37_4)
% 27.19/4.32
% 27.19/4.32 [1809] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1842] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1842] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1843] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1844] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1844] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1843] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2343] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2344] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2343] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2344] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2364] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2364] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2365] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2366] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2366] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2365] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2421] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2422] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2422] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2533] (cowlThing(X23_220_7) & ~cowlNothing(X23_220_7))
% 27.19/4.32
% 27.19/4.32 [2533] ALPHA_AND : (cowlThing(X23_220_7) & ~cowlNothing(X23_220_7))
% 27.19/4.32 -> [2534] cowlThing(X23_220_7), ~cowlNothing(X23_220_7)
% 27.19/4.32
% 27.19/4.32 [2534] CLOSURE : ~cowlNothing(X23_220_7)
% 27.19/4.32
% 27.19/4.32 [2421] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [45] BETA_NOT_AND : ~(=(B10_1_1, B10_1_1) & cowlNothing(B10_1_1))
% 27.19/4.32 -> [55] ~=(B10_1_1, B10_1_1)
% 27.19/4.32 -> [56] ~cowlNothing(B10_1_1)
% 27.19/4.32
% 27.19/4.32 [55] CLOSURE : ~=(B10_1_1, B10_1_1)
% 27.19/4.32
% 27.19/4.32 [56] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [65] ((=(B12_1_2, B12_1_2) & cowlThing(B12_1_2)) => cowlThing(B12_1_2))
% 27.19/4.32
% 27.19/4.32 [65] BETA_IMPLY : ((=(B12_1_2, B12_1_2) & cowlThing(B12_1_2)) => cowlThing(B12_1_2))
% 27.19/4.32 -> [115] ~(=(B12_1_2, B12_1_2) & cowlThing(B12_1_2))
% 27.19/4.32 -> [116] cowlThing(B12_1_2)
% 27.19/4.32
% 27.19/4.32 [115] BETA_NOT_AND : ~(=(B12_1_2, B12_1_2) & cowlThing(B12_1_2))
% 27.19/4.32 -> [142] ~=(B12_1_2, B12_1_2)
% 27.19/4.32 -> [143] ~cowlThing(B12_1_2)
% 27.19/4.32
% 27.19/4.32 [142] CLOSURE : ~=(B12_1_2, B12_1_2)
% 27.19/4.32
% 27.19/4.32 [143] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [430] ((=(B14_16_3, B14_16_3) & rp(B14_16_3, C15_16_3)) => rp(B14_16_3, C15_16_3))
% 27.19/4.32
% 27.19/4.32 [430] BETA_IMPLY : ((=(B14_16_3, B14_16_3) & rp(B14_16_3, C15_16_3)) => rp(B14_16_3, C15_16_3))
% 27.19/4.32 -> [431] ~(=(B14_16_3, B14_16_3) & rp(B14_16_3, C15_16_3))
% 27.19/4.32 -> [432] rp(B14_16_3, C15_16_3)
% 27.19/4.32
% 27.19/4.32 [431] BETA_NOT_AND : ~(=(B14_16_3, B14_16_3) & rp(B14_16_3, C15_16_3))
% 27.19/4.32 -> [461] ~=(B14_16_3, B14_16_3)
% 27.19/4.32 -> [462] ~rp(B14_16_3, C15_16_3)
% 27.19/4.32
% 27.19/4.32 [461] CLOSURE : ~=(B14_16_3, B14_16_3)
% 27.19/4.32
% 27.19/4.32 [462] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [470] ((=(B17_21_4, B17_21_4) & rp(C18_21_4, B17_21_4)) => rp(C18_21_4, B17_21_4))
% 27.19/4.32
% 27.19/4.32 [470] BETA_IMPLY : ((=(B17_21_4, B17_21_4) & rp(C18_21_4, B17_21_4)) => rp(C18_21_4, B17_21_4))
% 27.19/4.32 -> [473] ~(=(B17_21_4, B17_21_4) & rp(C18_21_4, B17_21_4))
% 27.19/4.32 -> [474] rp(C18_21_4, B17_21_4)
% 27.19/4.32
% 27.19/4.32 [473] BETA_NOT_AND : ~(=(B17_21_4, B17_21_4) & rp(C18_21_4, B17_21_4))
% 27.19/4.32 -> [516] ~=(B17_21_4, B17_21_4)
% 27.19/4.32 -> [517] ~rp(C18_21_4, B17_21_4)
% 27.19/4.32
% 27.19/4.32 [516] CLOSURE : ~=(B17_21_4, B17_21_4)
% 27.19/4.32
% 27.19/4.32 [517] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [519] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [519] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [521] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [522] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [522] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [521] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1556] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1557] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1556] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1557] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1560] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1560] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1561] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1562] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1561] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1595] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1596] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1595] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1596] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1597] (cowlThing(X23_111_7) & ~cowlNothing(X23_111_7))
% 27.19/4.32
% 27.19/4.32 [1597] ALPHA_AND : (cowlThing(X23_111_7) & ~cowlNothing(X23_111_7))
% 27.19/4.32 -> [1599] cowlThing(X23_111_7), ~cowlNothing(X23_111_7)
% 27.19/4.32
% 27.19/4.32 [1599] CLOSURE : cowlThing(X23_111_7)
% 27.19/4.32
% 27.19/4.32 [1562] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [474] CLOSURE : rp(C18_21_4, B17_21_4)
% 27.19/4.32
% 27.19/4.32 [432] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1389] ((=(B17_50_4, B17_50_4) & rp(C18_50_4, B17_50_4)) => rp(C18_50_4, B17_50_4))
% 27.19/4.32
% 27.19/4.32 [1389] BETA_IMPLY : ((=(B17_50_4, B17_50_4) & rp(C18_50_4, B17_50_4)) => rp(C18_50_4, B17_50_4))
% 27.19/4.32 -> [1393] ~(=(B17_50_4, B17_50_4) & rp(C18_50_4, B17_50_4))
% 27.19/4.32 -> [1394] rp(C18_50_4, B17_50_4)
% 27.19/4.32
% 27.19/4.32 [1393] BETA_NOT_AND : ~(=(B17_50_4, B17_50_4) & rp(C18_50_4, B17_50_4))
% 27.19/4.32 -> [1428] ~=(B17_50_4, B17_50_4)
% 27.19/4.32 -> [1429] ~rp(C18_50_4, B17_50_4)
% 27.19/4.32
% 27.19/4.32 [1428] CLOSURE : ~=(B17_50_4, B17_50_4)
% 27.19/4.32
% 27.19/4.32 [1429] CLOSURE : ~rp(C18_50_4, B17_50_4)
% 27.19/4.32
% 27.19/4.32 [1394] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1488] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1488] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1491] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1492] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1492] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1491] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2016] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2017] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2016] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2017] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2104] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2104] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2111] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2112] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2112] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2111] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2625] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2626] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2625] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2626] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2640] (cowlThing(X23_239_7) & ~cowlNothing(X23_239_7))
% 27.19/4.32
% 27.19/4.32 [2640] ALPHA_AND : (cowlThing(X23_239_7) & ~cowlNothing(X23_239_7))
% 27.19/4.32 -> [2641] cowlThing(X23_239_7), ~cowlNothing(X23_239_7)
% 27.19/4.32
% 27.19/4.32 [2641] CLOSURE : cowlThing(X23_239_7)
% 27.19/4.32
% 27.19/4.32 [116] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [162] ((=(B14_7_3, B14_7_3) & rp(B14_7_3, C15_7_3)) => rp(B14_7_3, C15_7_3))
% 27.19/4.32
% 27.19/4.32 [162] BETA_IMPLY : ((=(B14_7_3, B14_7_3) & rp(B14_7_3, C15_7_3)) => rp(B14_7_3, C15_7_3))
% 27.19/4.32 -> [166] ~(=(B14_7_3, B14_7_3) & rp(B14_7_3, C15_7_3))
% 27.19/4.32 -> [167] rp(B14_7_3, C15_7_3)
% 27.19/4.32
% 27.19/4.32 [167] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [207] ((=(B17_7_4, B17_7_4) & rp(C18_7_4, B17_7_4)) => rp(C18_7_4, B17_7_4))
% 27.19/4.32
% 27.19/4.32 [207] BETA_IMPLY : ((=(B17_7_4, B17_7_4) & rp(C18_7_4, B17_7_4)) => rp(C18_7_4, B17_7_4))
% 27.19/4.32 -> [212] ~(=(B17_7_4, B17_7_4) & rp(C18_7_4, B17_7_4))
% 27.19/4.32 -> [213] rp(C18_7_4, B17_7_4)
% 27.19/4.32
% 27.19/4.32 [212] BETA_NOT_AND : ~(=(B17_7_4, B17_7_4) & rp(C18_7_4, B17_7_4))
% 27.19/4.32 -> [616] ~=(B17_7_4, B17_7_4)
% 27.19/4.32 -> [617] ~rp(C18_7_4, B17_7_4)
% 27.19/4.32
% 27.19/4.32 [617] CLOSURE : ~rp(C18_7_4, B17_7_4)
% 27.19/4.32
% 27.19/4.32 [616] CLOSURE : ~=(B17_7_4, B17_7_4)
% 27.19/4.32
% 27.19/4.32 [213] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [632] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [632] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [635] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [636] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [636] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [635] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1144] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1145] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1144] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1145] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1160] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1160] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1161] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1162] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1162] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1161] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1240] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1241] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1240] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1241] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1252] (cowlThing(X23_85_7) & ~cowlNothing(X23_85_7))
% 27.19/4.32
% 27.19/4.32 [1252] ALPHA_AND : (cowlThing(X23_85_7) & ~cowlNothing(X23_85_7))
% 27.19/4.32 -> [1253] cowlThing(X23_85_7), ~cowlNothing(X23_85_7)
% 27.19/4.32
% 27.19/4.32 [1253] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [1384] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1384] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1387] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [1388] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1388] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1387] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [1465] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1465] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [166] BETA_NOT_AND : ~(=(B14_7_3, B14_7_3) & rp(B14_7_3, C15_7_3))
% 27.19/4.32 -> [202] ~=(B14_7_3, B14_7_3)
% 27.19/4.32 -> [203] ~rp(B14_7_3, C15_7_3)
% 27.19/4.32
% 27.19/4.32 [202] CLOSURE : ~=(B14_7_3, B14_7_3)
% 27.19/4.32
% 27.19/4.32 [203] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [325] ((=(B17_14_4, B17_14_4) & rp(C18_14_4, B17_14_4)) => rp(C18_14_4, B17_14_4))
% 27.19/4.32
% 27.19/4.32 [325] BETA_IMPLY : ((=(B17_14_4, B17_14_4) & rp(C18_14_4, B17_14_4)) => rp(C18_14_4, B17_14_4))
% 27.19/4.32 -> [328] ~(=(B17_14_4, B17_14_4) & rp(C18_14_4, B17_14_4))
% 27.19/4.32 -> [329] rp(C18_14_4, B17_14_4)
% 27.19/4.32
% 27.19/4.32 [329] CLOSURE : rp(C18_14_4, B17_14_4)
% 27.19/4.32
% 27.19/4.32 [328] BETA_NOT_AND : ~(=(B17_14_4, B17_14_4) & rp(C18_14_4, B17_14_4))
% 27.19/4.32 -> [2300] ~=(B17_14_4, B17_14_4)
% 27.19/4.32 -> [2301] ~rp(C18_14_4, B17_14_4)
% 27.19/4.32
% 27.19/4.32 [2300] CLOSURE : ~=(B17_14_4, B17_14_4)
% 27.19/4.32
% 27.19/4.32 [2301] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2312] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2312] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2313] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2314] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2314] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2313] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2749] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2750] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2749] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2750] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2753] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2753] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2754] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2755] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2755] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2754] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2799] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2800] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2799] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2800] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2806] (cowlThing(X23_255_7) & ~cowlNothing(X23_255_7))
% 27.19/4.32
% 27.19/4.32 [2806] ALPHA_AND : (cowlThing(X23_255_7) & ~cowlNothing(X23_255_7))
% 27.19/4.32 -> [2807] cowlThing(X23_255_7), ~cowlNothing(X23_255_7)
% 27.19/4.32
% 27.19/4.32 [2807] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [2808] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2808] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2809] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2810] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2810] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2809] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2827] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2827] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [22] BETA_NOT_AND : ~(=(B8_0_0, B8_0_0) & cc(B8_0_0))
% 27.19/4.32 -> [27] ~=(B8_0_0, B8_0_0)
% 27.19/4.32 -> [28] ~cc(B8_0_0)
% 27.19/4.32
% 27.19/4.32 [27] CLOSURE : ~=(B8_0_0, B8_0_0)
% 27.19/4.32
% 27.19/4.32 [28] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [37] ((=(B10_0_1, B10_0_1) & cowlNothing(B10_0_1)) => cowlNothing(B10_0_1))
% 27.19/4.32
% 27.19/4.32 [37] BETA_IMPLY : ((=(B10_0_1, B10_0_1) & cowlNothing(B10_0_1)) => cowlNothing(B10_0_1))
% 27.19/4.32 -> [42] ~(=(B10_0_1, B10_0_1) & cowlNothing(B10_0_1))
% 27.19/4.32 -> [43] cowlNothing(B10_0_1)
% 27.19/4.32
% 27.19/4.32 [42] BETA_NOT_AND : ~(=(B10_0_1, B10_0_1) & cowlNothing(B10_0_1))
% 27.19/4.32 -> [52] ~=(B10_0_1, B10_0_1)
% 27.19/4.32 -> [53] ~cowlNothing(B10_0_1)
% 27.19/4.32
% 27.19/4.32 [52] CLOSURE : ~=(B10_0_1, B10_0_1)
% 27.19/4.32
% 27.19/4.32 [53] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [64] ((=(B12_0_2, B12_0_2) & cowlThing(B12_0_2)) => cowlThing(B12_0_2))
% 27.19/4.32
% 27.19/4.32 [64] BETA_IMPLY : ((=(B12_0_2, B12_0_2) & cowlThing(B12_0_2)) => cowlThing(B12_0_2))
% 27.19/4.32 -> [68] ~(=(B12_0_2, B12_0_2) & cowlThing(B12_0_2))
% 27.19/4.32 -> [69] cowlThing(B12_0_2)
% 27.19/4.32
% 27.19/4.32 [68] BETA_NOT_AND : ~(=(B12_0_2, B12_0_2) & cowlThing(B12_0_2))
% 27.19/4.32 -> [77] ~=(B12_0_2, B12_0_2)
% 27.19/4.32 -> [78] ~cowlThing(B12_0_2)
% 27.19/4.32
% 27.19/4.32 [77] CLOSURE : ~=(B12_0_2, B12_0_2)
% 27.19/4.32
% 27.19/4.32 [78] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [106] ((=(B14_1_3, B14_1_3) & rp(B14_1_3, C15_1_3)) => rp(B14_1_3, C15_1_3))
% 27.19/4.32
% 27.19/4.32 [106] BETA_IMPLY : ((=(B14_1_3, B14_1_3) & rp(B14_1_3, C15_1_3)) => rp(B14_1_3, C15_1_3))
% 27.19/4.32 -> [499] ~(=(B14_1_3, B14_1_3) & rp(B14_1_3, C15_1_3))
% 27.19/4.32 -> [500] rp(B14_1_3, C15_1_3)
% 27.19/4.32
% 27.19/4.32 [500] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1439] ((=(B17_51_4, B17_51_4) & rp(C18_51_4, B17_51_4)) => rp(C18_51_4, B17_51_4))
% 27.19/4.32
% 27.19/4.32 [1439] BETA_IMPLY : ((=(B17_51_4, B17_51_4) & rp(C18_51_4, B17_51_4)) => rp(C18_51_4, B17_51_4))
% 27.19/4.32 -> [1440] ~(=(B17_51_4, B17_51_4) & rp(C18_51_4, B17_51_4))
% 27.19/4.32 -> [1441] rp(C18_51_4, B17_51_4)
% 27.19/4.32
% 27.19/4.32 [1440] BETA_NOT_AND : ~(=(B17_51_4, B17_51_4) & rp(C18_51_4, B17_51_4))
% 27.19/4.32 -> [1472] ~=(B17_51_4, B17_51_4)
% 27.19/4.32 -> [1473] ~rp(C18_51_4, B17_51_4)
% 27.19/4.32
% 27.19/4.32 [1472] CLOSURE : ~=(B17_51_4, B17_51_4)
% 27.19/4.32
% 27.19/4.32 [1473] CLOSURE : ~rp(C18_51_4, B17_51_4)
% 27.19/4.32
% 27.19/4.32 [1441] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1478] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1478] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1479] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1480] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1479] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1700] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1701] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1700] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1701] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1746] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1746] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1747] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1748] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1747] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1763] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1764] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1763] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1764] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1769] (cowlThing(X23_136_7) & ~cowlNothing(X23_136_7))
% 27.19/4.32
% 27.19/4.32 [1769] ALPHA_AND : (cowlThing(X23_136_7) & ~cowlNothing(X23_136_7))
% 27.19/4.32 -> [1770] cowlThing(X23_136_7), ~cowlNothing(X23_136_7)
% 27.19/4.32
% 27.19/4.32 [1770] CLOSURE : cowlThing(X23_136_7)
% 27.19/4.32
% 27.19/4.32 [1748] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1480] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [499] BETA_NOT_AND : ~(=(B14_1_3, B14_1_3) & rp(B14_1_3, C15_1_3))
% 27.19/4.32 -> [562] ~=(B14_1_3, B14_1_3)
% 27.19/4.32 -> [563] ~rp(B14_1_3, C15_1_3)
% 27.19/4.32
% 27.19/4.32 [562] CLOSURE : ~=(B14_1_3, B14_1_3)
% 27.19/4.32
% 27.19/4.32 [563] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [568] ((=(B17_29_4, B17_29_4) & rp(C18_29_4, B17_29_4)) => rp(C18_29_4, B17_29_4))
% 27.19/4.32
% 27.19/4.32 [568] BETA_IMPLY : ((=(B17_29_4, B17_29_4) & rp(C18_29_4, B17_29_4)) => rp(C18_29_4, B17_29_4))
% 27.19/4.32 -> [1463] ~(=(B17_29_4, B17_29_4) & rp(C18_29_4, B17_29_4))
% 27.19/4.32 -> [1464] rp(C18_29_4, B17_29_4)
% 27.19/4.32
% 27.19/4.32 [1463] BETA_NOT_AND : ~(=(B17_29_4, B17_29_4) & rp(C18_29_4, B17_29_4))
% 27.19/4.32 -> [1503] ~=(B17_29_4, B17_29_4)
% 27.19/4.32 -> [1504] ~rp(C18_29_4, B17_29_4)
% 27.19/4.32
% 27.19/4.32 [1503] CLOSURE : ~=(B17_29_4, B17_29_4)
% 27.19/4.32
% 27.19/4.32 [1504] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1508] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1508] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1510] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1511] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1511] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1510] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1758] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1759] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1758] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1759] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1760] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1760] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1761] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1762] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1761] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1792] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1793] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1792] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1793] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1796] (cowlThing(X23_142_7) & ~cowlNothing(X23_142_7))
% 27.19/4.32
% 27.19/4.32 [1796] ALPHA_AND : (cowlThing(X23_142_7) & ~cowlNothing(X23_142_7))
% 27.19/4.32 -> [1797] cowlThing(X23_142_7), ~cowlNothing(X23_142_7)
% 27.19/4.32
% 27.19/4.32 [1797] CLOSURE : cowlThing(X23_142_7)
% 27.19/4.32
% 27.19/4.32 [1762] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1464] CLOSURE : rp(C18_29_4, B17_29_4)
% 27.19/4.32
% 27.19/4.32 [69] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [98] ((=(B14_0_3, B14_0_3) & rp(B14_0_3, C15_0_3)) => rp(B14_0_3, C15_0_3))
% 27.19/4.32
% 27.19/4.32 [98] BETA_IMPLY : ((=(B14_0_3, B14_0_3) & rp(B14_0_3, C15_0_3)) => rp(B14_0_3, C15_0_3))
% 27.19/4.32 -> [104] ~(=(B14_0_3, B14_0_3) & rp(B14_0_3, C15_0_3))
% 27.19/4.32 -> [105] rp(B14_0_3, C15_0_3)
% 27.19/4.32
% 27.19/4.32 [105] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [222] ((=(B17_8_4, B17_8_4) & rp(C18_8_4, B17_8_4)) => rp(C18_8_4, B17_8_4))
% 27.19/4.32
% 27.19/4.32 [222] BETA_IMPLY : ((=(B17_8_4, B17_8_4) & rp(C18_8_4, B17_8_4)) => rp(C18_8_4, B17_8_4))
% 27.19/4.32 -> [226] ~(=(B17_8_4, B17_8_4) & rp(C18_8_4, B17_8_4))
% 27.19/4.32 -> [227] rp(C18_8_4, B17_8_4)
% 27.19/4.32
% 27.19/4.32 [226] BETA_NOT_AND : ~(=(B17_8_4, B17_8_4) & rp(C18_8_4, B17_8_4))
% 27.19/4.32 -> [238] ~=(B17_8_4, B17_8_4)
% 27.19/4.32 -> [239] ~rp(C18_8_4, B17_8_4)
% 27.19/4.32
% 27.19/4.32 [238] CLOSURE : ~=(B17_8_4, B17_8_4)
% 27.19/4.32
% 27.19/4.32 [239] CLOSURE : ~rp(C18_8_4, B17_8_4)
% 27.19/4.32
% 27.19/4.32 [227] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [264] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [264] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [267] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [268] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [268] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [267] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1798] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1799] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1798] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1799] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1812] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1812] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1813] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1814] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1814] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1813] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2557] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2558] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2557] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2558] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2571] (cowlThing(X23_225_7) & ~cowlNothing(X23_225_7))
% 27.19/4.32
% 27.19/4.32 [2571] ALPHA_AND : (cowlThing(X23_225_7) & ~cowlNothing(X23_225_7))
% 27.19/4.32 -> [2573] cowlThing(X23_225_7), ~cowlNothing(X23_225_7)
% 27.19/4.32
% 27.19/4.32 [2573] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [2600] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2600] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2603] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2604] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2604] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2603] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2624] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2624] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [104] BETA_NOT_AND : ~(=(B14_0_3, B14_0_3) & rp(B14_0_3, C15_0_3))
% 27.19/4.32 -> [210] ~=(B14_0_3, B14_0_3)
% 27.19/4.32 -> [211] ~rp(B14_0_3, C15_0_3)
% 27.19/4.32
% 27.19/4.32 [210] CLOSURE : ~=(B14_0_3, B14_0_3)
% 27.19/4.32
% 27.19/4.32 [211] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [246] ((=(B17_9_4, B17_9_4) & rp(C18_9_4, B17_9_4)) => rp(C18_9_4, B17_9_4))
% 27.19/4.32
% 27.19/4.32 [246] BETA_IMPLY : ((=(B17_9_4, B17_9_4) & rp(C18_9_4, B17_9_4)) => rp(C18_9_4, B17_9_4))
% 27.19/4.32 -> [250] ~(=(B17_9_4, B17_9_4) & rp(C18_9_4, B17_9_4))
% 27.19/4.32 -> [251] rp(C18_9_4, B17_9_4)
% 27.19/4.32
% 27.19/4.32 [251] CLOSURE : rp(C18_9_4, B17_9_4)
% 27.19/4.32
% 27.19/4.32 [250] BETA_NOT_AND : ~(=(B17_9_4, B17_9_4) & rp(C18_9_4, B17_9_4))
% 27.19/4.32 -> [1991] ~=(B17_9_4, B17_9_4)
% 27.19/4.32 -> [1992] ~rp(C18_9_4, B17_9_4)
% 27.19/4.32
% 27.19/4.32 [1991] CLOSURE : ~=(B17_9_4, B17_9_4)
% 27.19/4.32
% 27.19/4.32 [1992] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1999] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1999] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2002] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2003] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2003] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2002] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2402] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2403] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2402] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2403] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2406] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2406] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2407] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2408] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2408] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2407] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2651] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2652] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2651] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2652] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2657] (cowlThing(X23_241_7) & ~cowlNothing(X23_241_7))
% 27.19/4.32
% 27.19/4.32 [2657] ALPHA_AND : (cowlThing(X23_241_7) & ~cowlNothing(X23_241_7))
% 27.19/4.32 -> [2658] cowlThing(X23_241_7), ~cowlNothing(X23_241_7)
% 27.19/4.32
% 27.19/4.32 [2658] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [2673] (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2673] BETA_EQUIV : (xsd_string(skolem_X3232) <=> ~xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2674] ~xsd_string(skolem_X3232), ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2675] xsd_string(skolem_X3232), ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2674] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X3232)
% 27.19/4.32 -> [2679] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2679] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2675] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [43] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [73] ((=(B12_2_2, B12_2_2) & cowlThing(B12_2_2)) => cowlThing(B12_2_2))
% 27.19/4.32
% 27.19/4.32 [73] BETA_IMPLY : ((=(B12_2_2, B12_2_2) & cowlThing(B12_2_2)) => cowlThing(B12_2_2))
% 27.19/4.32 -> [79] ~(=(B12_2_2, B12_2_2) & cowlThing(B12_2_2))
% 27.19/4.32 -> [80] cowlThing(B12_2_2)
% 27.19/4.32
% 27.19/4.32 [79] BETA_NOT_AND : ~(=(B12_2_2, B12_2_2) & cowlThing(B12_2_2))
% 27.19/4.32 -> [113] ~=(B12_2_2, B12_2_2)
% 27.19/4.32 -> [114] ~cowlThing(B12_2_2)
% 27.19/4.32
% 27.19/4.32 [113] CLOSURE : ~=(B12_2_2, B12_2_2)
% 27.19/4.32
% 27.19/4.32 [114] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [122] ((=(B14_2_3, B14_2_3) & rp(B14_2_3, C15_2_3)) => rp(B14_2_3, C15_2_3))
% 27.19/4.32
% 27.19/4.32 [122] BETA_IMPLY : ((=(B14_2_3, B14_2_3) & rp(B14_2_3, C15_2_3)) => rp(B14_2_3, C15_2_3))
% 27.19/4.32 -> [124] ~(=(B14_2_3, B14_2_3) & rp(B14_2_3, C15_2_3))
% 27.19/4.32 -> [125] rp(B14_2_3, C15_2_3)
% 27.19/4.32
% 27.19/4.32 [124] BETA_NOT_AND : ~(=(B14_2_3, B14_2_3) & rp(B14_2_3, C15_2_3))
% 27.19/4.32 -> [154] ~=(B14_2_3, B14_2_3)
% 27.19/4.32 -> [155] ~rp(B14_2_3, C15_2_3)
% 27.19/4.32
% 27.19/4.32 [154] CLOSURE : ~=(B14_2_3, B14_2_3)
% 27.19/4.32
% 27.19/4.32 [155] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [165] ((=(B17_2_4, B17_2_4) & rp(C18_2_4, B17_2_4)) => rp(C18_2_4, B17_2_4))
% 27.19/4.32
% 27.19/4.32 [165] BETA_IMPLY : ((=(B17_2_4, B17_2_4) & rp(C18_2_4, B17_2_4)) => rp(C18_2_4, B17_2_4))
% 27.19/4.32 -> [168] ~(=(B17_2_4, B17_2_4) & rp(C18_2_4, B17_2_4))
% 27.19/4.32 -> [169] rp(C18_2_4, B17_2_4)
% 27.19/4.32
% 27.19/4.32 [169] CLOSURE : rp(C18_2_4, B17_2_4)
% 27.19/4.32
% 27.19/4.32 [168] BETA_NOT_AND : ~(=(B17_2_4, B17_2_4) & rp(C18_2_4, B17_2_4))
% 27.19/4.32 -> [866] ~=(B17_2_4, B17_2_4)
% 27.19/4.32 -> [867] ~rp(C18_2_4, B17_2_4)
% 27.19/4.32
% 27.19/4.32 [866] CLOSURE : ~=(B17_2_4, B17_2_4)
% 27.19/4.32
% 27.19/4.32 [867] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [868] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [868] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [870] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [871] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [871] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [870] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1138] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1139] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1138] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1139] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1143] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1143] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [1146] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1147] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1146] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [1168] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [1169] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1168] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1169] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1176] (cowlThing(X23_77_7) & ~cowlNothing(X23_77_7))
% 27.19/4.32
% 27.19/4.32 [1176] ALPHA_AND : (cowlThing(X23_77_7) & ~cowlNothing(X23_77_7))
% 27.19/4.32 -> [1177] cowlThing(X23_77_7), ~cowlNothing(X23_77_7)
% 27.19/4.32
% 27.19/4.32 [1177] CLOSURE : cowlThing(X23_77_7)
% 27.19/4.32
% 27.19/4.32 [1147] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [125] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [552] ((=(B17_27_4, B17_27_4) & rp(C18_27_4, B17_27_4)) => rp(C18_27_4, B17_27_4))
% 27.19/4.32
% 27.19/4.32 [552] BETA_IMPLY : ((=(B17_27_4, B17_27_4) & rp(C18_27_4, B17_27_4)) => rp(C18_27_4, B17_27_4))
% 27.19/4.32 -> [553] ~(=(B17_27_4, B17_27_4) & rp(C18_27_4, B17_27_4))
% 27.19/4.32 -> [554] rp(C18_27_4, B17_27_4)
% 27.19/4.32
% 27.19/4.32 [553] BETA_NOT_AND : ~(=(B17_27_4, B17_27_4) & rp(C18_27_4, B17_27_4))
% 27.19/4.32 -> [566] ~=(B17_27_4, B17_27_4)
% 27.19/4.32 -> [567] ~rp(C18_27_4, B17_27_4)
% 27.19/4.32
% 27.19/4.32 [566] CLOSURE : ~=(B17_27_4, B17_27_4)
% 27.19/4.32
% 27.19/4.32 [567] CLOSURE : ~rp(C18_27_4, B17_27_4)
% 27.19/4.32
% 27.19/4.32 [554] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1830] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [1830] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1834] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1835] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1835] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1834] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2538] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2539] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2538] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2539] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2546] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2546] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2547] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2548] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2548] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2547] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2594] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2595] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2594] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2595] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2597] (cowlThing(X23_232_7) & ~cowlNothing(X23_232_7))
% 27.19/4.32
% 27.19/4.32 [2597] ALPHA_AND : (cowlThing(X23_232_7) & ~cowlNothing(X23_232_7))
% 27.19/4.32 -> [2599] cowlThing(X23_232_7), ~cowlNothing(X23_232_7)
% 27.19/4.32
% 27.19/4.32 [2599] CLOSURE : cowlThing(X23_232_7)
% 27.19/4.32
% 27.19/4.32 [80] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [130] ((=(B14_5_3, B14_5_3) & rp(B14_5_3, C15_5_3)) => rp(B14_5_3, C15_5_3))
% 27.19/4.32
% 27.19/4.32 [130] BETA_IMPLY : ((=(B14_5_3, B14_5_3) & rp(B14_5_3, C15_5_3)) => rp(B14_5_3, C15_5_3))
% 27.19/4.32 -> [135] ~(=(B14_5_3, B14_5_3) & rp(B14_5_3, C15_5_3))
% 27.19/4.32 -> [136] rp(B14_5_3, C15_5_3)
% 27.19/4.32
% 27.19/4.32 [136] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [523] ((=(B17_25_4, B17_25_4) & rp(C18_25_4, B17_25_4)) => rp(C18_25_4, B17_25_4))
% 27.19/4.32
% 27.19/4.32 [523] BETA_IMPLY : ((=(B17_25_4, B17_25_4) & rp(C18_25_4, B17_25_4)) => rp(C18_25_4, B17_25_4))
% 27.19/4.32 -> [524] ~(=(B17_25_4, B17_25_4) & rp(C18_25_4, B17_25_4))
% 27.19/4.32 -> [525] rp(C18_25_4, B17_25_4)
% 27.19/4.32
% 27.19/4.32 [524] BETA_NOT_AND : ~(=(B17_25_4, B17_25_4) & rp(C18_25_4, B17_25_4))
% 27.19/4.32 -> [540] ~=(B17_25_4, B17_25_4)
% 27.19/4.32 -> [541] ~rp(C18_25_4, B17_25_4)
% 27.19/4.32
% 27.19/4.32 [541] CLOSURE : ~rp(C18_25_4, B17_25_4)
% 27.19/4.32
% 27.19/4.32 [540] CLOSURE : ~=(B17_25_4, B17_25_4)
% 27.19/4.32
% 27.19/4.32 [525] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [559] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [559] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1528] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [1529] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1529] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [1528] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2228] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2229] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2228] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2229] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2242] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2242] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2262] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2263] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2263] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2262] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2608] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2609] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2608] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2609] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2621] (cowlThing(X23_236_7) & ~cowlNothing(X23_236_7))
% 27.19/4.32
% 27.19/4.32 [2621] ALPHA_AND : (cowlThing(X23_236_7) & ~cowlNothing(X23_236_7))
% 27.19/4.32 -> [2622] cowlThing(X23_236_7), ~cowlNothing(X23_236_7)
% 27.19/4.32
% 27.19/4.32 [2622] CLOSURE : ~cowlNothing(X23_236_7)
% 27.19/4.32
% 27.19/4.32 [135] BETA_NOT_AND : ~(=(B14_5_3, B14_5_3) & rp(B14_5_3, C15_5_3))
% 27.19/4.32 -> [144] ~=(B14_5_3, B14_5_3)
% 27.19/4.32 -> [145] ~rp(B14_5_3, C15_5_3)
% 27.19/4.32
% 27.19/4.32 [144] CLOSURE : ~=(B14_5_3, B14_5_3)
% 27.19/4.32
% 27.19/4.32 [145] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [413] ((=(B17_19_4, B17_19_4) & rp(C18_19_4, B17_19_4)) => rp(C18_19_4, B17_19_4))
% 27.19/4.32
% 27.19/4.32 [413] BETA_IMPLY : ((=(B17_19_4, B17_19_4) & rp(C18_19_4, B17_19_4)) => rp(C18_19_4, B17_19_4))
% 27.19/4.32 -> [423] ~(=(B17_19_4, B17_19_4) & rp(C18_19_4, B17_19_4))
% 27.19/4.32 -> [424] rp(C18_19_4, B17_19_4)
% 27.19/4.32
% 27.19/4.32 [424] CLOSURE : rp(C18_19_4, B17_19_4)
% 27.19/4.32
% 27.19/4.32 [423] BETA_NOT_AND : ~(=(B17_19_4, B17_19_4) & rp(C18_19_4, B17_19_4))
% 27.19/4.32 -> [2742] ~=(B17_19_4, B17_19_4)
% 27.19/4.32 -> [2743] ~rp(C18_19_4, B17_19_4)
% 27.19/4.32
% 27.19/4.32 [2742] CLOSURE : ~=(B17_19_4, B17_19_4)
% 27.19/4.32
% 27.19/4.32 [2743] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2746] ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2746] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232)) => xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2747] ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2748] xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2748] CLOSURE : xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2747] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_integer(skolem_X3232))
% 27.19/4.32 -> [2815] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2816] ~xsd_integer(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2815] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2816] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2830] ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32
% 27.19/4.32 [2830] BETA_IMPLY : ((=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232)) => xsd_string(skolem_X3232))
% 27.19/4.32 -> [2831] ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2832] xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2832] CLOSURE : xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2831] BETA_NOT_AND : ~(=(skolem_X3232, skolem_X3232) & xsd_string(skolem_X3232))
% 27.19/4.32 -> [2847] ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32 -> [2848] ~xsd_string(skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2847] CLOSURE : ~=(skolem_X3232, skolem_X3232)
% 27.19/4.32
% 27.19/4.32 [2848] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2854] (cowlThing(X23_263_7) & ~cowlNothing(X23_263_7))
% 27.19/4.32
% 27.19/4.32 [2854] ALPHA_AND : (cowlThing(X23_263_7) & ~cowlNothing(X23_263_7))
% 27.19/4.32 -> [2855] cowlThing(X23_263_7), ~cowlNothing(X23_263_7)
% 27.19/4.32
% 27.19/4.32 [2855] CLOSURE : ~cowlNothing(X23_263_7)
% 27.19/4.32
% 27.19/4.32 [3] DELTA_NOT_FORALL : ~! [X33_33] : ((cc(X33_33) => (? [Y034_34, Y135_35] : (((rp(X33_33, Y034_34) & rp(X33_33, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(X33_33, Y036_36) & rp(X33_33, Y137_37)) & rp(X33_33, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38)))))))
% 27.19/4.32 -> [6] ~(cc(skolem_X3333) => (? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(skolem_X3333, Y036_36) & rp(skolem_X3333, Y137_37)) & rp(skolem_X3333, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38))))))
% 27.19/4.32
% 27.19/4.32 [6] ALPHA_NOT_IMPLY : ~(cc(skolem_X3333) => (? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(skolem_X3333, Y036_36) & rp(skolem_X3333, Y137_37)) & rp(skolem_X3333, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38))))))
% 27.19/4.32 -> [13] cc(skolem_X3333), ~(? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(skolem_X3333, Y036_36) & rp(skolem_X3333, Y137_37)) & rp(skolem_X3333, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38)))))
% 27.19/4.32
% 27.19/4.32 [13] BETA_NOT_AND : ~(? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35))) & ! [Y036_36, Y137_37, Y238_38] : ((((rp(skolem_X3333, Y036_36) & rp(skolem_X3333, Y137_37)) & rp(skolem_X3333, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38)))))
% 27.19/4.32 -> [18] ~? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35)))
% 27.19/4.32 -> [19] ~! [Y036_36, Y137_37, Y238_38] : ((((rp(skolem_X3333, Y036_36) & rp(skolem_X3333, Y137_37)) & rp(skolem_X3333, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38))))
% 27.19/4.32
% 27.19/4.32 [18] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8)))
% 27.19/4.32 -> [31] ((=(skolem_X3333, skolem_X3333) & cc(skolem_X3333)) => cc(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [31] BETA_IMPLY : ((=(skolem_X3333, skolem_X3333) & cc(skolem_X3333)) => cc(skolem_X3333))
% 27.19/4.32 -> [32] ~(=(skolem_X3333, skolem_X3333) & cc(skolem_X3333))
% 27.19/4.32 -> [33] cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [32] BETA_NOT_AND : ~(=(skolem_X3333, skolem_X3333) & cc(skolem_X3333))
% 27.19/4.32 -> [38] ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32 -> [39] ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [39] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [38] CLOSURE : ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [33] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [44] ((=(B10_2_1, B10_2_1) & cowlNothing(B10_2_1)) => cowlNothing(B10_2_1))
% 27.19/4.32
% 27.19/4.32 [44] BETA_IMPLY : ((=(B10_2_1, B10_2_1) & cowlNothing(B10_2_1)) => cowlNothing(B10_2_1))
% 27.19/4.32 -> [49] ~(=(B10_2_1, B10_2_1) & cowlNothing(B10_2_1))
% 27.19/4.32 -> [50] cowlNothing(B10_2_1)
% 27.19/4.32
% 27.19/4.32 [50] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [119] ((=(B12_8_2, B12_8_2) & cowlThing(B12_8_2)) => cowlThing(B12_8_2))
% 27.19/4.32
% 27.19/4.32 [119] BETA_IMPLY : ((=(B12_8_2, B12_8_2) & cowlThing(B12_8_2)) => cowlThing(B12_8_2))
% 27.19/4.32 -> [120] ~(=(B12_8_2, B12_8_2) & cowlThing(B12_8_2))
% 27.19/4.32 -> [121] cowlThing(B12_8_2)
% 27.19/4.32
% 27.19/4.32 [121] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [418] ((=(B14_15_3, B14_15_3) & rp(B14_15_3, C15_15_3)) => rp(B14_15_3, C15_15_3))
% 27.19/4.32
% 27.19/4.32 [418] BETA_IMPLY : ((=(B14_15_3, B14_15_3) & rp(B14_15_3, C15_15_3)) => rp(B14_15_3, C15_15_3))
% 27.19/4.32 -> [421] ~(=(B14_15_3, B14_15_3) & rp(B14_15_3, C15_15_3))
% 27.19/4.32 -> [422] rp(B14_15_3, C15_15_3)
% 27.19/4.32
% 27.19/4.32 [422] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [476] ((=(B17_22_4, B17_22_4) & rp(C18_22_4, B17_22_4)) => rp(C18_22_4, B17_22_4))
% 27.19/4.32
% 27.19/4.32 [476] BETA_IMPLY : ((=(B17_22_4, B17_22_4) & rp(C18_22_4, B17_22_4)) => rp(C18_22_4, B17_22_4))
% 27.19/4.32 -> [480] ~(=(B17_22_4, B17_22_4) & rp(C18_22_4, B17_22_4))
% 27.19/4.32 -> [481] rp(C18_22_4, B17_22_4)
% 27.19/4.32
% 27.19/4.32 [481] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [569] ((=(B20_15_5, B20_15_5) & xsd_integer(B20_15_5)) => xsd_integer(B20_15_5))
% 27.19/4.32
% 27.19/4.32 [569] BETA_IMPLY : ((=(B20_15_5, B20_15_5) & xsd_integer(B20_15_5)) => xsd_integer(B20_15_5))
% 27.19/4.32 -> [578] ~(=(B20_15_5, B20_15_5) & xsd_integer(B20_15_5))
% 27.19/4.32 -> [579] xsd_integer(B20_15_5)
% 27.19/4.32
% 27.19/4.32 [578] BETA_NOT_AND : ~(=(B20_15_5, B20_15_5) & xsd_integer(B20_15_5))
% 27.19/4.32 -> [583] ~=(B20_15_5, B20_15_5)
% 27.19/4.32 -> [584] ~xsd_integer(B20_15_5)
% 27.19/4.32
% 27.19/4.32 [583] CLOSURE : ~=(B20_15_5, B20_15_5)
% 27.19/4.32
% 27.19/4.32 [584] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [598] ((=(B22_16_6, B22_16_6) & xsd_string(B22_16_6)) => xsd_string(B22_16_6))
% 27.19/4.32
% 27.19/4.32 [598] BETA_IMPLY : ((=(B22_16_6, B22_16_6) & xsd_string(B22_16_6)) => xsd_string(B22_16_6))
% 27.19/4.32 -> [599] ~(=(B22_16_6, B22_16_6) & xsd_string(B22_16_6))
% 27.19/4.32 -> [600] xsd_string(B22_16_6)
% 27.19/4.32
% 27.19/4.32 [600] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [623] (cowlThing(X23_20_7) & ~cowlNothing(X23_20_7))
% 27.19/4.32
% 27.19/4.32 [623] ALPHA_AND : (cowlThing(X23_20_7) & ~cowlNothing(X23_20_7))
% 27.19/4.32 -> [626] cowlThing(X23_20_7), ~cowlNothing(X23_20_7)
% 27.19/4.32
% 27.19/4.32 [626] CLOSURE : ~cowlNothing(X23_20_7)
% 27.19/4.32
% 27.19/4.32 [599] BETA_NOT_AND : ~(=(B22_16_6, B22_16_6) & xsd_string(B22_16_6))
% 27.19/4.32 -> [609] ~=(B22_16_6, B22_16_6)
% 27.19/4.32 -> [610] ~xsd_string(B22_16_6)
% 27.19/4.32
% 27.19/4.32 [609] CLOSURE : ~=(B22_16_6, B22_16_6)
% 27.19/4.32
% 27.19/4.32 [610] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [656] (cowlThing(X23_22_7) & ~cowlNothing(X23_22_7))
% 27.19/4.32
% 27.19/4.32 [656] ALPHA_AND : (cowlThing(X23_22_7) & ~cowlNothing(X23_22_7))
% 27.19/4.32 -> [657] cowlThing(X23_22_7), ~cowlNothing(X23_22_7)
% 27.19/4.32
% 27.19/4.32 [657] CLOSURE : ~cowlNothing(X23_22_7)
% 27.19/4.32
% 27.19/4.32 [579] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [593] ((=(B22_15_6, B22_15_6) & xsd_string(B22_15_6)) => xsd_string(B22_15_6))
% 27.19/4.32
% 27.19/4.32 [593] BETA_IMPLY : ((=(B22_15_6, B22_15_6) & xsd_string(B22_15_6)) => xsd_string(B22_15_6))
% 27.19/4.32 -> [596] ~(=(B22_15_6, B22_15_6) & xsd_string(B22_15_6))
% 27.19/4.32 -> [597] xsd_string(B22_15_6)
% 27.19/4.32
% 27.19/4.32 [597] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [620] (cowlThing(X23_19_7) & ~cowlNothing(X23_19_7))
% 27.19/4.32
% 27.19/4.32 [620] ALPHA_AND : (cowlThing(X23_19_7) & ~cowlNothing(X23_19_7))
% 27.19/4.32 -> [622] cowlThing(X23_19_7), ~cowlNothing(X23_19_7)
% 27.19/4.32
% 27.19/4.32 [622] CLOSURE : ~cowlNothing(X23_19_7)
% 27.19/4.32
% 27.19/4.32 [596] BETA_NOT_AND : ~(=(B22_15_6, B22_15_6) & xsd_string(B22_15_6))
% 27.19/4.32 -> [603] ~=(B22_15_6, B22_15_6)
% 27.19/4.32 -> [604] ~xsd_string(B22_15_6)
% 27.19/4.32
% 27.19/4.32 [603] CLOSURE : ~=(B22_15_6, B22_15_6)
% 27.19/4.32
% 27.19/4.32 [604] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [671] (cowlThing(X23_23_7) & ~cowlNothing(X23_23_7))
% 27.19/4.32
% 27.19/4.32 [671] ALPHA_AND : (cowlThing(X23_23_7) & ~cowlNothing(X23_23_7))
% 27.19/4.32 -> [672] cowlThing(X23_23_7), ~cowlNothing(X23_23_7)
% 27.19/4.32
% 27.19/4.32 [672] CLOSURE : ~cowlNothing(X23_23_7)
% 27.19/4.32
% 27.19/4.32 [480] BETA_NOT_AND : ~(=(B17_22_4, B17_22_4) & rp(C18_22_4, B17_22_4))
% 27.19/4.32 -> [512] ~=(B17_22_4, B17_22_4)
% 27.19/4.32 -> [513] ~rp(C18_22_4, B17_22_4)
% 27.19/4.32
% 27.19/4.32 [512] CLOSURE : ~=(B17_22_4, B17_22_4)
% 27.19/4.32
% 27.19/4.32 [513] CLOSURE : ~rp(C18_22_4, B17_22_4)
% 27.19/4.32
% 27.19/4.32 [421] BETA_NOT_AND : ~(=(B14_15_3, B14_15_3) & rp(B14_15_3, C15_15_3))
% 27.19/4.32 -> [441] ~=(B14_15_3, B14_15_3)
% 27.19/4.32 -> [442] ~rp(B14_15_3, C15_15_3)
% 27.19/4.32
% 27.19/4.32 [441] CLOSURE : ~=(B14_15_3, B14_15_3)
% 27.19/4.32
% 27.19/4.32 [442] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1542] ((=(B17_53_4, B17_53_4) & rp(C18_53_4, B17_53_4)) => rp(C18_53_4, B17_53_4))
% 27.19/4.32
% 27.19/4.32 [1542] BETA_IMPLY : ((=(B17_53_4, B17_53_4) & rp(C18_53_4, B17_53_4)) => rp(C18_53_4, B17_53_4))
% 27.19/4.32 -> [1544] ~(=(B17_53_4, B17_53_4) & rp(C18_53_4, B17_53_4))
% 27.19/4.32 -> [1545] rp(C18_53_4, B17_53_4)
% 27.19/4.32
% 27.19/4.32 [1544] BETA_NOT_AND : ~(=(B17_53_4, B17_53_4) & rp(C18_53_4, B17_53_4))
% 27.19/4.32 -> [1578] ~=(B17_53_4, B17_53_4)
% 27.19/4.32 -> [1579] ~rp(C18_53_4, B17_53_4)
% 27.19/4.32
% 27.19/4.32 [1578] CLOSURE : ~=(B17_53_4, B17_53_4)
% 27.19/4.32
% 27.19/4.32 [1579] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1653] ((=(B20_53_5, B20_53_5) & xsd_integer(B20_53_5)) => xsd_integer(B20_53_5))
% 27.19/4.32
% 27.19/4.32 [1653] BETA_IMPLY : ((=(B20_53_5, B20_53_5) & xsd_integer(B20_53_5)) => xsd_integer(B20_53_5))
% 27.19/4.32 -> [1654] ~(=(B20_53_5, B20_53_5) & xsd_integer(B20_53_5))
% 27.19/4.32 -> [1655] xsd_integer(B20_53_5)
% 27.19/4.32
% 27.19/4.32 [1655] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1685] ((=(B22_78_6, B22_78_6) & xsd_string(B22_78_6)) => xsd_string(B22_78_6))
% 27.19/4.32
% 27.19/4.32 [1685] BETA_IMPLY : ((=(B22_78_6, B22_78_6) & xsd_string(B22_78_6)) => xsd_string(B22_78_6))
% 27.19/4.32 -> [1686] ~(=(B22_78_6, B22_78_6) & xsd_string(B22_78_6))
% 27.19/4.32 -> [1687] xsd_string(B22_78_6)
% 27.19/4.32
% 27.19/4.32 [1687] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1911] (cowlThing(X23_152_7) & ~cowlNothing(X23_152_7))
% 27.19/4.32
% 27.19/4.32 [1911] ALPHA_AND : (cowlThing(X23_152_7) & ~cowlNothing(X23_152_7))
% 27.19/4.32 -> [1912] cowlThing(X23_152_7), ~cowlNothing(X23_152_7)
% 27.19/4.32
% 27.19/4.32 [1912] CLOSURE : ~cowlNothing(X23_152_7)
% 27.19/4.32
% 27.19/4.32 [1686] BETA_NOT_AND : ~(=(B22_78_6, B22_78_6) & xsd_string(B22_78_6))
% 27.19/4.32 -> [1885] ~=(B22_78_6, B22_78_6)
% 27.19/4.32 -> [1886] ~xsd_string(B22_78_6)
% 27.19/4.32
% 27.19/4.32 [1885] CLOSURE : ~=(B22_78_6, B22_78_6)
% 27.19/4.32
% 27.19/4.32 [1886] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1932] (cowlThing(X23_157_7) & ~cowlNothing(X23_157_7))
% 27.19/4.32
% 27.19/4.32 [1932] ALPHA_AND : (cowlThing(X23_157_7) & ~cowlNothing(X23_157_7))
% 27.19/4.32 -> [1933] cowlThing(X23_157_7), ~cowlNothing(X23_157_7)
% 27.19/4.32
% 27.19/4.32 [1933] CLOSURE : ~cowlNothing(X23_157_7)
% 27.19/4.32
% 27.19/4.32 [1654] BETA_NOT_AND : ~(=(B20_53_5, B20_53_5) & xsd_integer(B20_53_5))
% 27.19/4.32 -> [1667] ~=(B20_53_5, B20_53_5)
% 27.19/4.32 -> [1668] ~xsd_integer(B20_53_5)
% 27.19/4.32
% 27.19/4.32 [1667] CLOSURE : ~=(B20_53_5, B20_53_5)
% 27.19/4.32
% 27.19/4.32 [1668] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1884] ((=(B22_93_6, B22_93_6) & xsd_string(B22_93_6)) => xsd_string(B22_93_6))
% 27.19/4.32
% 27.19/4.32 [1884] BETA_IMPLY : ((=(B22_93_6, B22_93_6) & xsd_string(B22_93_6)) => xsd_string(B22_93_6))
% 27.19/4.32 -> [1887] ~(=(B22_93_6, B22_93_6) & xsd_string(B22_93_6))
% 27.19/4.32 -> [1888] xsd_string(B22_93_6)
% 27.19/4.32
% 27.19/4.32 [1887] BETA_NOT_AND : ~(=(B22_93_6, B22_93_6) & xsd_string(B22_93_6))
% 27.19/4.32 -> [1894] ~=(B22_93_6, B22_93_6)
% 27.19/4.32 -> [1895] ~xsd_string(B22_93_6)
% 27.19/4.32
% 27.19/4.32 [1894] CLOSURE : ~=(B22_93_6, B22_93_6)
% 27.19/4.32
% 27.19/4.32 [1895] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1913] (cowlThing(X23_153_7) & ~cowlNothing(X23_153_7))
% 27.19/4.32
% 27.19/4.32 [1913] ALPHA_AND : (cowlThing(X23_153_7) & ~cowlNothing(X23_153_7))
% 27.19/4.32 -> [1914] cowlThing(X23_153_7), ~cowlNothing(X23_153_7)
% 27.19/4.32
% 27.19/4.32 [1914] CLOSURE : ~cowlNothing(X23_153_7)
% 27.19/4.32
% 27.19/4.32 [1888] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1925] (cowlThing(X23_156_7) & ~cowlNothing(X23_156_7))
% 27.19/4.32
% 27.19/4.32 [1925] ALPHA_AND : (cowlThing(X23_156_7) & ~cowlNothing(X23_156_7))
% 27.19/4.32 -> [1926] cowlThing(X23_156_7), ~cowlNothing(X23_156_7)
% 27.19/4.32
% 27.19/4.32 [1926] CLOSURE : ~cowlNothing(X23_156_7)
% 27.19/4.32
% 27.19/4.32 [1545] CLOSURE : rp(C18_53_4, B17_53_4)
% 27.19/4.32
% 27.19/4.32 [120] BETA_NOT_AND : ~(=(B12_8_2, B12_8_2) & cowlThing(B12_8_2))
% 27.19/4.32 -> [138] ~=(B12_8_2, B12_8_2)
% 27.19/4.32 -> [139] ~cowlThing(B12_8_2)
% 27.19/4.32
% 27.19/4.32 [138] CLOSURE : ~=(B12_8_2, B12_8_2)
% 27.19/4.32
% 27.19/4.32 [139] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [503] ((=(B14_19_3, B14_19_3) & rp(B14_19_3, C15_19_3)) => rp(B14_19_3, C15_19_3))
% 27.19/4.32
% 27.19/4.32 [503] BETA_IMPLY : ((=(B14_19_3, B14_19_3) & rp(B14_19_3, C15_19_3)) => rp(B14_19_3, C15_19_3))
% 27.19/4.32 -> [504] ~(=(B14_19_3, B14_19_3) & rp(B14_19_3, C15_19_3))
% 27.19/4.32 -> [505] rp(B14_19_3, C15_19_3)
% 27.19/4.32
% 27.19/4.32 [504] BETA_NOT_AND : ~(=(B14_19_3, B14_19_3) & rp(B14_19_3, C15_19_3))
% 27.19/4.32 -> [573] ~=(B14_19_3, B14_19_3)
% 27.19/4.32 -> [574] ~rp(B14_19_3, C15_19_3)
% 27.19/4.32
% 27.19/4.32 [573] CLOSURE : ~=(B14_19_3, B14_19_3)
% 27.19/4.32
% 27.19/4.32 [574] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [587] ((=(B17_31_4, B17_31_4) & rp(C18_31_4, B17_31_4)) => rp(C18_31_4, B17_31_4))
% 27.19/4.32
% 27.19/4.32 [587] BETA_IMPLY : ((=(B17_31_4, B17_31_4) & rp(C18_31_4, B17_31_4)) => rp(C18_31_4, B17_31_4))
% 27.19/4.32 -> [588] ~(=(B17_31_4, B17_31_4) & rp(C18_31_4, B17_31_4))
% 27.19/4.32 -> [589] rp(C18_31_4, B17_31_4)
% 27.19/4.32
% 27.19/4.32 [589] CLOSURE : rp(C18_31_4, B17_31_4)
% 27.19/4.32
% 27.19/4.32 [588] BETA_NOT_AND : ~(=(B17_31_4, B17_31_4) & rp(C18_31_4, B17_31_4))
% 27.19/4.32 -> [787] ~=(B17_31_4, B17_31_4)
% 27.19/4.32 -> [788] ~rp(C18_31_4, B17_31_4)
% 27.19/4.32
% 27.19/4.32 [787] CLOSURE : ~=(B17_31_4, B17_31_4)
% 27.19/4.32
% 27.19/4.32 [788] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [797] ((=(B20_24_5, B20_24_5) & xsd_integer(B20_24_5)) => xsd_integer(B20_24_5))
% 27.19/4.32
% 27.19/4.32 [797] BETA_IMPLY : ((=(B20_24_5, B20_24_5) & xsd_integer(B20_24_5)) => xsd_integer(B20_24_5))
% 27.19/4.32 -> [798] ~(=(B20_24_5, B20_24_5) & xsd_integer(B20_24_5))
% 27.19/4.32 -> [799] xsd_integer(B20_24_5)
% 27.19/4.32
% 27.19/4.32 [798] BETA_NOT_AND : ~(=(B20_24_5, B20_24_5) & xsd_integer(B20_24_5))
% 27.19/4.32 -> [801] ~=(B20_24_5, B20_24_5)
% 27.19/4.32 -> [802] ~xsd_integer(B20_24_5)
% 27.19/4.32
% 27.19/4.32 [801] CLOSURE : ~=(B20_24_5, B20_24_5)
% 27.19/4.32
% 27.19/4.32 [802] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [834] ((=(B22_28_6, B22_28_6) & xsd_string(B22_28_6)) => xsd_string(B22_28_6))
% 27.19/4.32
% 27.19/4.32 [834] BETA_IMPLY : ((=(B22_28_6, B22_28_6) & xsd_string(B22_28_6)) => xsd_string(B22_28_6))
% 27.19/4.32 -> [837] ~(=(B22_28_6, B22_28_6) & xsd_string(B22_28_6))
% 27.19/4.32 -> [838] xsd_string(B22_28_6)
% 27.19/4.32
% 27.19/4.32 [838] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [896] (cowlThing(X23_43_7) & ~cowlNothing(X23_43_7))
% 27.19/4.32
% 27.19/4.32 [896] ALPHA_AND : (cowlThing(X23_43_7) & ~cowlNothing(X23_43_7))
% 27.19/4.32 -> [899] cowlThing(X23_43_7), ~cowlNothing(X23_43_7)
% 27.19/4.32
% 27.19/4.32 [899] CLOSURE : cowlThing(X23_43_7)
% 27.19/4.32
% 27.19/4.32 [837] BETA_NOT_AND : ~(=(B22_28_6, B22_28_6) & xsd_string(B22_28_6))
% 27.19/4.32 -> [855] ~=(B22_28_6, B22_28_6)
% 27.19/4.32 -> [856] ~xsd_string(B22_28_6)
% 27.19/4.32
% 27.19/4.32 [856] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [895] (cowlThing(X23_42_7) & ~cowlNothing(X23_42_7))
% 27.19/4.32
% 27.19/4.32 [895] ALPHA_AND : (cowlThing(X23_42_7) & ~cowlNothing(X23_42_7))
% 27.19/4.32 -> [897] cowlThing(X23_42_7), ~cowlNothing(X23_42_7)
% 27.19/4.32
% 27.19/4.32 [897] CLOSURE : cowlThing(X23_42_7)
% 27.19/4.32
% 27.19/4.32 [855] CLOSURE : ~=(B22_28_6, B22_28_6)
% 27.19/4.32
% 27.19/4.32 [799] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [823] ((=(B22_27_6, B22_27_6) & xsd_string(B22_27_6)) => xsd_string(B22_27_6))
% 27.19/4.32
% 27.19/4.32 [823] BETA_IMPLY : ((=(B22_27_6, B22_27_6) & xsd_string(B22_27_6)) => xsd_string(B22_27_6))
% 27.19/4.32 -> [826] ~(=(B22_27_6, B22_27_6) & xsd_string(B22_27_6))
% 27.19/4.32 -> [827] xsd_string(B22_27_6)
% 27.19/4.32
% 27.19/4.32 [826] BETA_NOT_AND : ~(=(B22_27_6, B22_27_6) & xsd_string(B22_27_6))
% 27.19/4.32 -> [846] ~=(B22_27_6, B22_27_6)
% 27.19/4.32 -> [847] ~xsd_string(B22_27_6)
% 27.19/4.32
% 27.19/4.32 [846] CLOSURE : ~=(B22_27_6, B22_27_6)
% 27.19/4.32
% 27.19/4.32 [847] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [905] (cowlThing(X23_45_7) & ~cowlNothing(X23_45_7))
% 27.19/4.32
% 27.19/4.32 [905] ALPHA_AND : (cowlThing(X23_45_7) & ~cowlNothing(X23_45_7))
% 27.19/4.32 -> [906] cowlThing(X23_45_7), ~cowlNothing(X23_45_7)
% 27.19/4.32
% 27.19/4.32 [906] CLOSURE : cowlThing(X23_45_7)
% 27.19/4.32
% 27.19/4.32 [827] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [881] (cowlThing(X23_41_7) & ~cowlNothing(X23_41_7))
% 27.19/4.32
% 27.19/4.32 [881] ALPHA_AND : (cowlThing(X23_41_7) & ~cowlNothing(X23_41_7))
% 27.19/4.32 -> [882] cowlThing(X23_41_7), ~cowlNothing(X23_41_7)
% 27.19/4.32
% 27.19/4.32 [882] CLOSURE : cowlThing(X23_41_7)
% 27.19/4.32
% 27.19/4.32 [505] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [1310] ((=(B17_47_4, B17_47_4) & rp(C18_47_4, B17_47_4)) => rp(C18_47_4, B17_47_4))
% 27.19/4.32
% 27.19/4.32 [1310] BETA_IMPLY : ((=(B17_47_4, B17_47_4) & rp(C18_47_4, B17_47_4)) => rp(C18_47_4, B17_47_4))
% 27.19/4.32 -> [1314] ~(=(B17_47_4, B17_47_4) & rp(C18_47_4, B17_47_4))
% 27.19/4.32 -> [1315] rp(C18_47_4, B17_47_4)
% 27.19/4.32
% 27.19/4.32 [1314] BETA_NOT_AND : ~(=(B17_47_4, B17_47_4) & rp(C18_47_4, B17_47_4))
% 27.19/4.32 -> [1334] ~=(B17_47_4, B17_47_4)
% 27.19/4.32 -> [1335] ~rp(C18_47_4, B17_47_4)
% 27.19/4.32
% 27.19/4.32 [1335] CLOSURE : ~rp(C18_47_4, B17_47_4)
% 27.19/4.32
% 27.19/4.32 [1334] CLOSURE : ~=(B17_47_4, B17_47_4)
% 27.19/4.32
% 27.19/4.32 [1315] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1368] ((=(B20_42_5, B20_42_5) & xsd_integer(B20_42_5)) => xsd_integer(B20_42_5))
% 27.19/4.32
% 27.19/4.32 [1368] BETA_IMPLY : ((=(B20_42_5, B20_42_5) & xsd_integer(B20_42_5)) => xsd_integer(B20_42_5))
% 27.19/4.32 -> [1371] ~(=(B20_42_5, B20_42_5) & xsd_integer(B20_42_5))
% 27.19/4.32 -> [1372] xsd_integer(B20_42_5)
% 27.19/4.32
% 27.19/4.32 [1372] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1444] ((=(B22_64_6, B22_64_6) & xsd_string(B22_64_6)) => xsd_string(B22_64_6))
% 27.19/4.32
% 27.19/4.32 [1444] BETA_IMPLY : ((=(B22_64_6, B22_64_6) & xsd_string(B22_64_6)) => xsd_string(B22_64_6))
% 27.19/4.32 -> [1445] ~(=(B22_64_6, B22_64_6) & xsd_string(B22_64_6))
% 27.19/4.32 -> [1446] xsd_string(B22_64_6)
% 27.19/4.32
% 27.19/4.32 [1446] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1716] (cowlThing(X23_129_7) & ~cowlNothing(X23_129_7))
% 27.19/4.32
% 27.19/4.32 [1716] ALPHA_AND : (cowlThing(X23_129_7) & ~cowlNothing(X23_129_7))
% 27.19/4.32 -> [1721] cowlThing(X23_129_7), ~cowlNothing(X23_129_7)
% 27.19/4.32
% 27.19/4.32 [1721] CLOSURE : cowlThing(X23_129_7)
% 27.19/4.32
% 27.19/4.32 [1445] BETA_NOT_AND : ~(=(B22_64_6, B22_64_6) & xsd_string(B22_64_6))
% 27.19/4.32 -> [1474] ~=(B22_64_6, B22_64_6)
% 27.19/4.32 -> [1475] ~xsd_string(B22_64_6)
% 27.19/4.32
% 27.19/4.32 [1475] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1786] (cowlThing(X23_139_7) & ~cowlNothing(X23_139_7))
% 27.19/4.32
% 27.19/4.32 [1786] ALPHA_AND : (cowlThing(X23_139_7) & ~cowlNothing(X23_139_7))
% 27.19/4.32 -> [1788] cowlThing(X23_139_7), ~cowlNothing(X23_139_7)
% 27.19/4.32
% 27.19/4.32 [1788] CLOSURE : cowlThing(X23_139_7)
% 27.19/4.32
% 27.19/4.32 [1474] CLOSURE : ~=(B22_64_6, B22_64_6)
% 27.19/4.32
% 27.19/4.32 [1371] BETA_NOT_AND : ~(=(B20_42_5, B20_42_5) & xsd_integer(B20_42_5))
% 27.19/4.32 -> [1402] ~=(B20_42_5, B20_42_5)
% 27.19/4.32 -> [1403] ~xsd_integer(B20_42_5)
% 27.19/4.32
% 27.19/4.32 [1402] CLOSURE : ~=(B20_42_5, B20_42_5)
% 27.19/4.32
% 27.19/4.32 [1403] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1837] ((=(B22_89_6, B22_89_6) & xsd_string(B22_89_6)) => xsd_string(B22_89_6))
% 27.19/4.32
% 27.19/4.32 [1837] BETA_IMPLY : ((=(B22_89_6, B22_89_6) & xsd_string(B22_89_6)) => xsd_string(B22_89_6))
% 27.19/4.32 -> [1838] ~(=(B22_89_6, B22_89_6) & xsd_string(B22_89_6))
% 27.19/4.32 -> [1839] xsd_string(B22_89_6)
% 27.19/4.32
% 27.19/4.32 [1839] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2049] (cowlThing(X23_166_7) & ~cowlNothing(X23_166_7))
% 27.19/4.32
% 27.19/4.32 [2049] ALPHA_AND : (cowlThing(X23_166_7) & ~cowlNothing(X23_166_7))
% 27.19/4.32 -> [2050] cowlThing(X23_166_7), ~cowlNothing(X23_166_7)
% 27.19/4.32
% 27.19/4.32 [2050] CLOSURE : cowlThing(X23_166_7)
% 27.19/4.32
% 27.19/4.32 [1838] BETA_NOT_AND : ~(=(B22_89_6, B22_89_6) & xsd_string(B22_89_6))
% 27.19/4.32 -> [1862] ~=(B22_89_6, B22_89_6)
% 27.19/4.32 -> [1863] ~xsd_string(B22_89_6)
% 27.19/4.32
% 27.19/4.32 [1862] CLOSURE : ~=(B22_89_6, B22_89_6)
% 27.19/4.32
% 27.19/4.32 [1863] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2441] (cowlThing(X23_204_7) & ~cowlNothing(X23_204_7))
% 27.19/4.32
% 27.19/4.32 [2441] ALPHA_AND : (cowlThing(X23_204_7) & ~cowlNothing(X23_204_7))
% 27.19/4.32 -> [2556] cowlThing(X23_204_7), ~cowlNothing(X23_204_7)
% 27.19/4.32
% 27.19/4.32 [2556] CLOSURE : cowlThing(X23_204_7)
% 27.19/4.32
% 27.19/4.32 [49] BETA_NOT_AND : ~(=(B10_2_1, B10_2_1) & cowlNothing(B10_2_1))
% 27.19/4.32 -> [83] ~=(B10_2_1, B10_2_1)
% 27.19/4.32 -> [84] ~cowlNothing(B10_2_1)
% 27.19/4.32
% 27.19/4.32 [83] CLOSURE : ~=(B10_2_1, B10_2_1)
% 27.19/4.32
% 27.19/4.32 [84] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [89] ((=(B12_4_2, B12_4_2) & cowlThing(B12_4_2)) => cowlThing(B12_4_2))
% 27.19/4.32
% 27.19/4.32 [89] BETA_IMPLY : ((=(B12_4_2, B12_4_2) & cowlThing(B12_4_2)) => cowlThing(B12_4_2))
% 27.19/4.32 -> [92] ~(=(B12_4_2, B12_4_2) & cowlThing(B12_4_2))
% 27.19/4.32 -> [93] cowlThing(B12_4_2)
% 27.19/4.32
% 27.19/4.32 [92] BETA_NOT_AND : ~(=(B12_4_2, B12_4_2) & cowlThing(B12_4_2))
% 27.19/4.32 -> [765] ~=(B12_4_2, B12_4_2)
% 27.19/4.32 -> [766] ~cowlThing(B12_4_2)
% 27.19/4.32
% 27.19/4.32 [765] CLOSURE : ~=(B12_4_2, B12_4_2)
% 27.19/4.32
% 27.19/4.32 [766] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [771] ((=(B14_23_3, B14_23_3) & rp(B14_23_3, C15_23_3)) => rp(B14_23_3, C15_23_3))
% 27.19/4.32
% 27.19/4.32 [771] BETA_IMPLY : ((=(B14_23_3, B14_23_3) & rp(B14_23_3, C15_23_3)) => rp(B14_23_3, C15_23_3))
% 27.19/4.32 -> [774] ~(=(B14_23_3, B14_23_3) & rp(B14_23_3, C15_23_3))
% 27.19/4.32 -> [775] rp(B14_23_3, C15_23_3)
% 27.19/4.32
% 27.19/4.32 [774] BETA_NOT_AND : ~(=(B14_23_3, B14_23_3) & rp(B14_23_3, C15_23_3))
% 27.19/4.32 -> [830] ~=(B14_23_3, B14_23_3)
% 27.19/4.32 -> [831] ~rp(B14_23_3, C15_23_3)
% 27.19/4.32
% 27.19/4.32 [830] CLOSURE : ~=(B14_23_3, B14_23_3)
% 27.19/4.32
% 27.19/4.32 [831] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [835] ((=(B17_38_4, B17_38_4) & rp(C18_38_4, B17_38_4)) => rp(C18_38_4, B17_38_4))
% 27.19/4.32
% 27.19/4.32 [835] BETA_IMPLY : ((=(B17_38_4, B17_38_4) & rp(C18_38_4, B17_38_4)) => rp(C18_38_4, B17_38_4))
% 27.19/4.32 -> [839] ~(=(B17_38_4, B17_38_4) & rp(C18_38_4, B17_38_4))
% 27.19/4.32 -> [840] rp(C18_38_4, B17_38_4)
% 27.19/4.32
% 27.19/4.32 [839] BETA_NOT_AND : ~(=(B17_38_4, B17_38_4) & rp(C18_38_4, B17_38_4))
% 27.19/4.32 -> [950] ~=(B17_38_4, B17_38_4)
% 27.19/4.32 -> [951] ~rp(C18_38_4, B17_38_4)
% 27.19/4.32
% 27.19/4.32 [950] CLOSURE : ~=(B17_38_4, B17_38_4)
% 27.19/4.32
% 27.19/4.32 [951] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [952] ((=(B20_28_5, B20_28_5) & xsd_integer(B20_28_5)) => xsd_integer(B20_28_5))
% 27.19/4.32
% 27.19/4.32 [952] BETA_IMPLY : ((=(B20_28_5, B20_28_5) & xsd_integer(B20_28_5)) => xsd_integer(B20_28_5))
% 27.19/4.32 -> [953] ~(=(B20_28_5, B20_28_5) & xsd_integer(B20_28_5))
% 27.19/4.32 -> [954] xsd_integer(B20_28_5)
% 27.19/4.32
% 27.19/4.32 [953] BETA_NOT_AND : ~(=(B20_28_5, B20_28_5) & xsd_integer(B20_28_5))
% 27.19/4.32 -> [977] ~=(B20_28_5, B20_28_5)
% 27.19/4.32 -> [978] ~xsd_integer(B20_28_5)
% 27.19/4.32
% 27.19/4.32 [977] CLOSURE : ~=(B20_28_5, B20_28_5)
% 27.19/4.32
% 27.19/4.32 [978] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [979] ((=(B22_36_6, B22_36_6) & xsd_string(B22_36_6)) => xsd_string(B22_36_6))
% 27.19/4.32
% 27.19/4.32 [979] BETA_IMPLY : ((=(B22_36_6, B22_36_6) & xsd_string(B22_36_6)) => xsd_string(B22_36_6))
% 27.19/4.32 -> [980] ~(=(B22_36_6, B22_36_6) & xsd_string(B22_36_6))
% 27.19/4.32 -> [981] xsd_string(B22_36_6)
% 27.19/4.32
% 27.19/4.32 [980] BETA_NOT_AND : ~(=(B22_36_6, B22_36_6) & xsd_string(B22_36_6))
% 27.19/4.32 -> [1019] ~=(B22_36_6, B22_36_6)
% 27.19/4.32 -> [1020] ~xsd_string(B22_36_6)
% 27.19/4.32
% 27.19/4.32 [1019] CLOSURE : ~=(B22_36_6, B22_36_6)
% 27.19/4.32
% 27.19/4.32 [1020] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1023] (cowlThing(X23_59_7) & ~cowlNothing(X23_59_7))
% 27.19/4.32
% 27.19/4.32 [1023] ALPHA_AND : (cowlThing(X23_59_7) & ~cowlNothing(X23_59_7))
% 27.19/4.32 -> [1025] cowlThing(X23_59_7), ~cowlNothing(X23_59_7)
% 27.19/4.32
% 27.19/4.32 [1025] CLOSURE : cowlThing(X23_59_7)
% 27.19/4.32
% 27.19/4.32 [981] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1083] (cowlThing(X23_65_7) & ~cowlNothing(X23_65_7))
% 27.19/4.32
% 27.19/4.32 [1083] ALPHA_AND : (cowlThing(X23_65_7) & ~cowlNothing(X23_65_7))
% 27.19/4.32 -> [1085] cowlThing(X23_65_7), ~cowlNothing(X23_65_7)
% 27.19/4.32
% 27.19/4.32 [1085] CLOSURE : cowlThing(X23_65_7)
% 27.19/4.32
% 27.19/4.32 [954] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1058] ((=(B22_42_6, B22_42_6) & xsd_string(B22_42_6)) => xsd_string(B22_42_6))
% 27.19/4.32
% 27.19/4.32 [1058] BETA_IMPLY : ((=(B22_42_6, B22_42_6) & xsd_string(B22_42_6)) => xsd_string(B22_42_6))
% 27.19/4.32 -> [1059] ~(=(B22_42_6, B22_42_6) & xsd_string(B22_42_6))
% 27.19/4.32 -> [1060] xsd_string(B22_42_6)
% 27.19/4.32
% 27.19/4.32 [1059] BETA_NOT_AND : ~(=(B22_42_6, B22_42_6) & xsd_string(B22_42_6))
% 27.19/4.32 -> [1086] ~=(B22_42_6, B22_42_6)
% 27.19/4.32 -> [1087] ~xsd_string(B22_42_6)
% 27.19/4.32
% 27.19/4.32 [1086] CLOSURE : ~=(B22_42_6, B22_42_6)
% 27.19/4.32
% 27.19/4.32 [1087] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1112] (cowlThing(X23_68_7) & ~cowlNothing(X23_68_7))
% 27.19/4.32
% 27.19/4.32 [1112] ALPHA_AND : (cowlThing(X23_68_7) & ~cowlNothing(X23_68_7))
% 27.19/4.32 -> [1113] cowlThing(X23_68_7), ~cowlNothing(X23_68_7)
% 27.19/4.32
% 27.19/4.32 [1113] CLOSURE : cowlThing(X23_68_7)
% 27.19/4.32
% 27.19/4.32 [1060] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1103] (cowlThing(X23_66_7) & ~cowlNothing(X23_66_7))
% 27.19/4.32
% 27.19/4.32 [1103] ALPHA_AND : (cowlThing(X23_66_7) & ~cowlNothing(X23_66_7))
% 27.19/4.32 -> [1121] cowlThing(X23_66_7), ~cowlNothing(X23_66_7)
% 27.19/4.32
% 27.19/4.32 [1121] CLOSURE : cowlThing(X23_66_7)
% 27.19/4.32
% 27.19/4.32 [840] CLOSURE : rp(C18_38_4, B17_38_4)
% 27.19/4.32
% 27.19/4.32 [775] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [984] ((=(B17_39_4, B17_39_4) & rp(C18_39_4, B17_39_4)) => rp(C18_39_4, B17_39_4))
% 27.19/4.32
% 27.19/4.32 [984] BETA_IMPLY : ((=(B17_39_4, B17_39_4) & rp(C18_39_4, B17_39_4)) => rp(C18_39_4, B17_39_4))
% 27.19/4.32 -> [985] ~(=(B17_39_4, B17_39_4) & rp(C18_39_4, B17_39_4))
% 27.19/4.32 -> [986] rp(C18_39_4, B17_39_4)
% 27.19/4.32
% 27.19/4.32 [985] BETA_NOT_AND : ~(=(B17_39_4, B17_39_4) & rp(C18_39_4, B17_39_4))
% 27.19/4.32 -> [992] ~=(B17_39_4, B17_39_4)
% 27.19/4.32 -> [993] ~rp(C18_39_4, B17_39_4)
% 27.19/4.32
% 27.19/4.32 [993] CLOSURE : ~rp(C18_39_4, B17_39_4)
% 27.19/4.32
% 27.19/4.32 [992] CLOSURE : ~=(B17_39_4, B17_39_4)
% 27.19/4.32
% 27.19/4.32 [986] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [1015] ((=(B20_31_5, B20_31_5) & xsd_integer(B20_31_5)) => xsd_integer(B20_31_5))
% 27.19/4.32
% 27.19/4.32 [1015] BETA_IMPLY : ((=(B20_31_5, B20_31_5) & xsd_integer(B20_31_5)) => xsd_integer(B20_31_5))
% 27.19/4.32 -> [1016] ~(=(B20_31_5, B20_31_5) & xsd_integer(B20_31_5))
% 27.19/4.32 -> [1017] xsd_integer(B20_31_5)
% 27.19/4.32
% 27.19/4.32 [1017] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1050] ((=(B22_40_6, B22_40_6) & xsd_string(B22_40_6)) => xsd_string(B22_40_6))
% 27.19/4.32
% 27.19/4.32 [1050] BETA_IMPLY : ((=(B22_40_6, B22_40_6) & xsd_string(B22_40_6)) => xsd_string(B22_40_6))
% 27.19/4.32 -> [1051] ~(=(B22_40_6, B22_40_6) & xsd_string(B22_40_6))
% 27.19/4.32 -> [1052] xsd_string(B22_40_6)
% 27.19/4.32
% 27.19/4.32 [1052] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1130] (cowlThing(X23_71_7) & ~cowlNothing(X23_71_7))
% 27.19/4.32
% 27.19/4.32 [1130] ALPHA_AND : (cowlThing(X23_71_7) & ~cowlNothing(X23_71_7))
% 27.19/4.32 -> [1131] cowlThing(X23_71_7), ~cowlNothing(X23_71_7)
% 27.19/4.32
% 27.19/4.32 [1131] CLOSURE : cowlThing(X23_71_7)
% 27.19/4.32
% 27.19/4.32 [1051] BETA_NOT_AND : ~(=(B22_40_6, B22_40_6) & xsd_string(B22_40_6))
% 27.19/4.32 -> [1061] ~=(B22_40_6, B22_40_6)
% 27.19/4.32 -> [1062] ~xsd_string(B22_40_6)
% 27.19/4.32
% 27.19/4.32 [1061] CLOSURE : ~=(B22_40_6, B22_40_6)
% 27.19/4.32
% 27.19/4.32 [1062] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1132] (cowlThing(X23_72_7) & ~cowlNothing(X23_72_7))
% 27.19/4.32
% 27.19/4.32 [1132] ALPHA_AND : (cowlThing(X23_72_7) & ~cowlNothing(X23_72_7))
% 27.19/4.32 -> [1134] cowlThing(X23_72_7), ~cowlNothing(X23_72_7)
% 27.19/4.32
% 27.19/4.32 [1134] CLOSURE : cowlThing(X23_72_7)
% 27.19/4.32
% 27.19/4.32 [1016] BETA_NOT_AND : ~(=(B20_31_5, B20_31_5) & xsd_integer(B20_31_5))
% 27.19/4.32 -> [1028] ~=(B20_31_5, B20_31_5)
% 27.19/4.32 -> [1029] ~xsd_integer(B20_31_5)
% 27.19/4.32
% 27.19/4.32 [1028] CLOSURE : ~=(B20_31_5, B20_31_5)
% 27.19/4.32
% 27.19/4.32 [1029] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [1055] ((=(B22_41_6, B22_41_6) & xsd_string(B22_41_6)) => xsd_string(B22_41_6))
% 27.19/4.32
% 27.19/4.32 [1055] BETA_IMPLY : ((=(B22_41_6, B22_41_6) & xsd_string(B22_41_6)) => xsd_string(B22_41_6))
% 27.19/4.32 -> [1056] ~(=(B22_41_6, B22_41_6) & xsd_string(B22_41_6))
% 27.19/4.32 -> [1057] xsd_string(B22_41_6)
% 27.19/4.32
% 27.19/4.32 [1057] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1082] (cowlThing(X23_64_7) & ~cowlNothing(X23_64_7))
% 27.19/4.32
% 27.19/4.32 [1082] ALPHA_AND : (cowlThing(X23_64_7) & ~cowlNothing(X23_64_7))
% 27.19/4.32 -> [1084] cowlThing(X23_64_7), ~cowlNothing(X23_64_7)
% 27.19/4.32
% 27.19/4.32 [1084] CLOSURE : cowlThing(X23_64_7)
% 27.19/4.32
% 27.19/4.32 [1056] BETA_NOT_AND : ~(=(B22_41_6, B22_41_6) & xsd_string(B22_41_6))
% 27.19/4.32 -> [1070] ~=(B22_41_6, B22_41_6)
% 27.19/4.32 -> [1071] ~xsd_string(B22_41_6)
% 27.19/4.32
% 27.19/4.32 [1070] CLOSURE : ~=(B22_41_6, B22_41_6)
% 27.19/4.32
% 27.19/4.32 [1071] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [1136] (cowlThing(X23_74_7) & ~cowlNothing(X23_74_7))
% 27.19/4.32
% 27.19/4.32 [1136] ALPHA_AND : (cowlThing(X23_74_7) & ~cowlNothing(X23_74_7))
% 27.19/4.32 -> [1137] cowlThing(X23_74_7), ~cowlNothing(X23_74_7)
% 27.19/4.32
% 27.19/4.32 [1137] CLOSURE : cowlThing(X23_74_7)
% 27.19/4.32
% 27.19/4.32 [93] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [592] ((=(B14_20_3, B14_20_3) & rp(B14_20_3, skolem_Y02929(B14_20_3))) => rp(B14_20_3, skolem_Y02929(B14_20_3)))
% 27.19/4.32
% 27.19/4.32 [592] BETA_IMPLY : ((=(B14_20_3, B14_20_3) & rp(B14_20_3, skolem_Y02929(B14_20_3))) => rp(B14_20_3, skolem_Y02929(B14_20_3)))
% 27.19/4.32 -> [594] ~(=(B14_20_3, B14_20_3) & rp(B14_20_3, skolem_Y02929(B14_20_3)))
% 27.19/4.32 -> [595] rp(B14_20_3, skolem_Y02929(B14_20_3))
% 27.19/4.32
% 27.19/4.32 [595] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [637] ((=(B17_33_4, B17_33_4) & rp(C18_33_4, B17_33_4)) => rp(C18_33_4, B17_33_4))
% 27.19/4.32
% 27.19/4.32 [637] BETA_IMPLY : ((=(B17_33_4, B17_33_4) & rp(C18_33_4, B17_33_4)) => rp(C18_33_4, B17_33_4))
% 27.19/4.32 -> [638] ~(=(B17_33_4, B17_33_4) & rp(C18_33_4, B17_33_4))
% 27.19/4.32 -> [639] rp(C18_33_4, B17_33_4)
% 27.19/4.32
% 27.19/4.32 [638] BETA_NOT_AND : ~(=(B17_33_4, B17_33_4) & rp(C18_33_4, B17_33_4))
% 27.19/4.32 -> [664] ~=(B17_33_4, B17_33_4)
% 27.19/4.32 -> [665] ~rp(C18_33_4, B17_33_4)
% 27.19/4.32
% 27.19/4.32 [664] CLOSURE : ~=(B17_33_4, B17_33_4)
% 27.19/4.32
% 27.19/4.32 [665] CLOSURE : ~rp(C18_33_4, B17_33_4)
% 27.19/4.32
% 27.19/4.32 [639] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [685] ((=(B20_18_5, B20_18_5) & xsd_integer(B20_18_5)) => xsd_integer(B20_18_5))
% 27.19/4.32
% 27.19/4.32 [685] BETA_IMPLY : ((=(B20_18_5, B20_18_5) & xsd_integer(B20_18_5)) => xsd_integer(B20_18_5))
% 27.19/4.32 -> [687] ~(=(B20_18_5, B20_18_5) & xsd_integer(B20_18_5))
% 27.19/4.32 -> [688] xsd_integer(B20_18_5)
% 27.19/4.32
% 27.19/4.32 [687] BETA_NOT_AND : ~(=(B20_18_5, B20_18_5) & xsd_integer(B20_18_5))
% 27.19/4.32 -> [717] ~=(B20_18_5, B20_18_5)
% 27.19/4.32 -> [718] ~xsd_integer(B20_18_5)
% 27.19/4.32
% 27.19/4.32 [717] CLOSURE : ~=(B20_18_5, B20_18_5)
% 27.19/4.32
% 27.19/4.32 [718] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [738] ((=(A21_24_6, A21_24_6) & xsd_string(A21_24_6)) => xsd_string(A21_24_6))
% 27.19/4.32
% 27.19/4.32 [738] BETA_IMPLY : ((=(A21_24_6, A21_24_6) & xsd_string(A21_24_6)) => xsd_string(A21_24_6))
% 27.19/4.32 -> [741] ~(=(A21_24_6, A21_24_6) & xsd_string(A21_24_6))
% 27.19/4.32 -> [742] xsd_string(A21_24_6)
% 27.19/4.32
% 27.19/4.32 [741] BETA_NOT_AND : ~(=(A21_24_6, A21_24_6) & xsd_string(A21_24_6))
% 27.19/4.32 -> [748] ~=(A21_24_6, A21_24_6)
% 27.19/4.32 -> [749] ~xsd_string(A21_24_6)
% 27.19/4.32
% 27.19/4.32 [748] CLOSURE : ~=(A21_24_6, A21_24_6)
% 27.19/4.32
% 27.19/4.32 [814] BETA_EQUIV : (xsd_string(X24_6_8) <=> ~xsd_integer(X24_6_8))
% 27.19/4.32 -> [1096] ~xsd_string(X24_6_8), ~~xsd_integer(X24_6_8)
% 27.19/4.32 -> [1097] xsd_string(X24_6_8), ~xsd_integer(X24_6_8)
% 27.19/4.32
% 27.19/4.32 [1097] CLOSURE : xsd_string(X24_6_8)
% 27.19/4.32
% 27.19/4.32 [1159] CLOSURE : xsd_integer(X24_6_8)
% 27.19/4.32
% 27.19/4.32 [742] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [761] (cowlThing(X23_31_7) & ~cowlNothing(X23_31_7))
% 27.19/4.32
% 27.19/4.32 [761] ALPHA_AND : (cowlThing(X23_31_7) & ~cowlNothing(X23_31_7))
% 27.19/4.32 -> [762] cowlThing(X23_31_7), ~cowlNothing(X23_31_7)
% 27.19/4.32
% 27.19/4.32 [762] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [807] (xsd_string(X24_4_8) <=> ~xsd_integer(X24_4_8))
% 27.19/4.32
% 27.19/4.32 [807] BETA_EQUIV : (xsd_string(X24_4_8) <=> ~xsd_integer(X24_4_8))
% 27.19/4.32 -> [808] ~xsd_string(X24_4_8), ~~xsd_integer(X24_4_8)
% 27.19/4.32 -> [809] xsd_string(X24_4_8), ~xsd_integer(X24_4_8)
% 27.19/4.32
% 27.19/4.32 [808] ALPHA_NOT_NOT : ~~xsd_integer(X24_4_8)
% 27.19/4.32 -> [848] xsd_integer(X24_4_8)
% 27.19/4.32
% 27.19/4.32 [848] CLOSURE : xsd_integer(X24_4_8)
% 27.19/4.32
% 27.19/4.32 [809] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.32 -> [862] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32
% 27.19/4.32 [862] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32 -> [863] ~cc(skolem_X3333)
% 27.19/4.32 -> [864] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32
% 27.19/4.32 [863] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [864] ALPHA_AND : (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32 -> [869] ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))), ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.32
% 27.19/4.32 [869] DELTA_EXISTS : ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.32 -> [873] ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32
% 27.19/4.32 [873] ALPHA_AND : ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [874] (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))), ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [874] ALPHA_AND : (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [949] rp(skolem_X3333, skolem_Y02929(skolem_X3333)), rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [949] GAMMA_NOT_EXISTS : ~? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35)))
% 27.19/4.32 -> [1024] ~((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32
% 27.19/4.32 [1024] BETA_NOT_AND : ~((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [1026] ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [1027] ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [1027] ALPHA_NOT_NOT : ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32 -> [1037] =(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [1037] CLOSURE : =
% 27.19/4.32
% 27.19/4.32 [1026] BETA_NOT_AND : ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [1909] ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32 -> [1910] ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [1910] CLOSURE : ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [1909] CLOSURE : ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [688] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [777] ((=(B20_18_5, B20_18_5) & xsd_string(B20_18_5)) => xsd_string(B20_18_5))
% 27.19/4.32
% 27.19/4.32 [777] BETA_IMPLY : ((=(B20_18_5, B20_18_5) & xsd_string(B20_18_5)) => xsd_string(B20_18_5))
% 27.19/4.32 -> [780] ~(=(B20_18_5, B20_18_5) & xsd_string(B20_18_5))
% 27.19/4.32 -> [781] xsd_string(B20_18_5)
% 27.19/4.32
% 27.19/4.32 [781] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [969] (cowlThing(X23_53_7) & ~cowlNothing(X23_53_7))
% 27.19/4.32
% 27.19/4.32 [969] ALPHA_AND : (cowlThing(X23_53_7) & ~cowlNothing(X23_53_7))
% 27.19/4.32 -> [970] cowlThing(X23_53_7), ~cowlNothing(X23_53_7)
% 27.19/4.32
% 27.19/4.32 [970] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [1005] (xsd_string(X24_11_8) <=> ~xsd_integer(X24_11_8))
% 27.19/4.32
% 27.19/4.32 [1005] BETA_EQUIV : (xsd_string(X24_11_8) <=> ~xsd_integer(X24_11_8))
% 27.19/4.32 -> [1008] ~xsd_string(X24_11_8), ~~xsd_integer(X24_11_8)
% 27.19/4.32 -> [1009] xsd_string(X24_11_8), ~xsd_integer(X24_11_8)
% 27.19/4.32
% 27.19/4.32 [1008] ALPHA_NOT_NOT : ~~xsd_integer(X24_11_8)
% 27.19/4.32 -> [1038] xsd_integer(X24_11_8)
% 27.19/4.32
% 27.19/4.32 [1038] CLOSURE : ~~xsd_integer(X24_11_8)
% 27.19/4.32
% 27.19/4.32 [1009] CLOSURE : ~xsd_integer(X24_11_8)
% 27.19/4.32
% 27.19/4.32 [780] BETA_NOT_AND : ~(=(B20_18_5, B20_18_5) & xsd_string(B20_18_5))
% 27.19/4.32 -> [2919] ~=(B20_18_5, B20_18_5)
% 27.19/4.32 -> [2920] ~xsd_string(B20_18_5)
% 27.19/4.32
% 27.19/4.32 [2919] CLOSURE : ~=(B20_18_5, B20_18_5)
% 27.19/4.32
% 27.19/4.32 [2920] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2924] (cowlThing(X23_266_7) & ~cowlNothing(X23_266_7))
% 27.19/4.32
% 27.19/4.32 [2924] ALPHA_AND : (cowlThing(X23_266_7) & ~cowlNothing(X23_266_7))
% 27.19/4.32 -> [2925] cowlThing(X23_266_7), ~cowlNothing(X23_266_7)
% 27.19/4.32
% 27.19/4.32 [2925] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [2939] (xsd_string(X24_44_8) <=> ~xsd_integer(X24_44_8))
% 27.19/4.32
% 27.19/4.32 [2939] BETA_EQUIV : (xsd_string(X24_44_8) <=> ~xsd_integer(X24_44_8))
% 27.19/4.32 -> [2940] ~xsd_string(X24_44_8), ~~xsd_integer(X24_44_8)
% 27.19/4.32 -> [2941] xsd_string(X24_44_8), ~xsd_integer(X24_44_8)
% 27.19/4.32
% 27.19/4.32 [2941] CLOSURE : ~xsd_integer(X24_44_8)
% 27.19/4.32
% 27.19/4.32 [2940] ALPHA_NOT_NOT : ~~xsd_integer(X24_44_8)
% 27.19/4.32 -> [2942] xsd_integer(X24_44_8)
% 27.19/4.32
% 27.19/4.32 [2942] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.32 -> [2943] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32
% 27.19/4.32 [2943] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32 -> [2944] ~cc(skolem_X3333)
% 27.19/4.32 -> [2945] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32
% 27.19/4.32 [2944] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [2956] BETA_NOT_AND : ~((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3038] ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3039] ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3038] BETA_NOT_AND : ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3040] ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32 -> [3041] ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3040] CLOSURE : ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3041] CLOSURE : ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3039] ALPHA_NOT_NOT : ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32 -> [3042] =(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3042] CLOSURE : =
% 27.19/4.32
% 27.19/4.32 [594] BETA_NOT_AND : ~(=(B14_20_3, B14_20_3) & rp(B14_20_3, skolem_Y02929(B14_20_3)))
% 27.19/4.32 -> [607] ~=(B14_20_3, B14_20_3)
% 27.19/4.32 -> [608] ~rp(B14_20_3, skolem_Y02929(B14_20_3))
% 27.19/4.32
% 27.19/4.32 [608] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [643] ((=(skolem_Y02929(skolem_X3333), skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y02929(skolem_X3333))) => rp(skolem_X3333, skolem_Y02929(skolem_X3333)))
% 27.19/4.32
% 27.19/4.32 [643] BETA_IMPLY : ((=(skolem_Y02929(skolem_X3333), skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y02929(skolem_X3333))) => rp(skolem_X3333, skolem_Y02929(skolem_X3333)))
% 27.19/4.32 -> [644] ~(=(skolem_Y02929(skolem_X3333), skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y02929(skolem_X3333)))
% 27.19/4.32 -> [645] rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [644] BETA_NOT_AND : ~(=(skolem_Y02929(skolem_X3333), skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y02929(skolem_X3333)))
% 27.19/4.32 -> [662] ~=(skolem_Y02929(skolem_X3333), skolem_Y02929(skolem_X3333))
% 27.19/4.32 -> [663] ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [662] CLOSURE : ~=(skolem_Y02929(skolem_X3333), skolem_Y02929(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [702] BETA_IMPLY : ((=(A19_21_5, A19_21_5) & xsd_integer(A19_21_5)) => xsd_integer(A19_21_5))
% 27.19/4.32 -> [2968] ~(=(A19_21_5, A19_21_5) & xsd_integer(A19_21_5))
% 27.19/4.32 -> [2969] xsd_integer(A19_21_5)
% 27.19/4.32
% 27.19/4.32 [2968] BETA_NOT_AND : ~(=(A19_21_5, A19_21_5) & xsd_integer(A19_21_5))
% 27.19/4.32 -> [2970] ~=(A19_21_5, A19_21_5)
% 27.19/4.32 -> [2971] ~xsd_integer(A19_21_5)
% 27.19/4.32
% 27.19/4.32 [2971] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2975] ((=(A21_147_6, A21_147_6) & xsd_string(A21_147_6)) => xsd_string(A21_147_6))
% 27.19/4.32
% 27.19/4.32 [2975] BETA_IMPLY : ((=(A21_147_6, A21_147_6) & xsd_string(A21_147_6)) => xsd_string(A21_147_6))
% 27.19/4.32 -> [2976] ~(=(A21_147_6, A21_147_6) & xsd_string(A21_147_6))
% 27.19/4.32 -> [2977] xsd_string(A21_147_6)
% 27.19/4.32
% 27.19/4.32 [2976] BETA_NOT_AND : ~(=(A21_147_6, A21_147_6) & xsd_string(A21_147_6))
% 27.19/4.32 -> [2980] ~=(A21_147_6, A21_147_6)
% 27.19/4.32 -> [2981] ~xsd_string(A21_147_6)
% 27.19/4.32
% 27.19/4.32 [2981] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2988] (cowlThing(X23_270_7) & ~cowlNothing(X23_270_7))
% 27.19/4.32
% 27.19/4.32 [2988] ALPHA_AND : (cowlThing(X23_270_7) & ~cowlNothing(X23_270_7))
% 27.19/4.32 -> [2989] cowlThing(X23_270_7), ~cowlNothing(X23_270_7)
% 27.19/4.32
% 27.19/4.32 [2989] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [2992] (xsd_string(X24_46_8) <=> ~xsd_integer(X24_46_8))
% 27.19/4.32
% 27.19/4.32 [2992] BETA_EQUIV : (xsd_string(X24_46_8) <=> ~xsd_integer(X24_46_8))
% 27.19/4.32 -> [2995] ~xsd_string(X24_46_8), ~~xsd_integer(X24_46_8)
% 27.19/4.32 -> [2996] xsd_string(X24_46_8), ~xsd_integer(X24_46_8)
% 27.19/4.32
% 27.19/4.32 [2995] ALPHA_NOT_NOT : ~~xsd_integer(X24_46_8)
% 27.19/4.32 -> [3005] xsd_integer(X24_46_8)
% 27.19/4.32
% 27.19/4.32 [3005] CLOSURE : xsd_integer(X24_46_8)
% 27.19/4.32
% 27.19/4.32 [2996] CLOSURE : xsd_string(X24_46_8)
% 27.19/4.32
% 27.19/4.32 [2980] CLOSURE : ~=(A21_147_6, A21_147_6)
% 27.19/4.32
% 27.19/4.32 [3001] BETA_EQUIV : (xsd_string(X24_48_8) <=> ~xsd_integer(X24_48_8))
% 27.19/4.32 -> [3053] ~xsd_string(X24_48_8), ~~xsd_integer(X24_48_8)
% 27.19/4.32 -> [3054] xsd_string(X24_48_8), ~xsd_integer(X24_48_8)
% 27.19/4.32
% 27.19/4.32 [3053] ALPHA_NOT_NOT : ~~xsd_integer(X24_48_8)
% 27.19/4.32 -> [3055] xsd_integer(X24_48_8)
% 27.19/4.32
% 27.19/4.32 [3055] CLOSURE : xsd_integer(X24_48_8)
% 27.19/4.32
% 27.19/4.32 [3059] BETA_IMPLY : (cc(B14_20_3) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(B14_20_3, Y026_26) & rp(B14_20_3, Y127_27)) & rp(B14_20_3, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(B14_20_3, Y029_29) & rp(B14_20_3, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32 -> [3086] ~cc(B14_20_3)
% 27.19/4.32 -> [3087] (! [Y026_26, Y127_27, Y228_28] : ((((rp(B14_20_3, Y026_26) & rp(B14_20_3, Y127_27)) & rp(B14_20_3, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(B14_20_3, Y029_29) & rp(B14_20_3, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32
% 27.19/4.32 [3086] CLOSURE : ~cc(B14_20_3)
% 27.19/4.32
% 27.19/4.32 [3091] CLOSURE : rp(B14_20_3, skolem_Y13030(B14_20_3))
% 27.19/4.32
% 27.19/4.32 [2970] CLOSURE : ~=(A19_21_5, A19_21_5)
% 27.19/4.32
% 27.19/4.32 [2972] BETA_IMPLY : ((=(A21_146_6, A21_146_6) & xsd_string(A21_146_6)) => xsd_string(A21_146_6))
% 27.19/4.32 -> [3120] ~(=(A21_146_6, A21_146_6) & xsd_string(A21_146_6))
% 27.19/4.32 -> [3121] xsd_string(A21_146_6)
% 27.19/4.32
% 27.19/4.32 [3121] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [3124] (cowlThing(X23_272_7) & ~cowlNothing(X23_272_7))
% 27.19/4.32
% 27.19/4.32 [3124] ALPHA_AND : (cowlThing(X23_272_7) & ~cowlNothing(X23_272_7))
% 27.19/4.32 -> [3125] cowlThing(X23_272_7), ~cowlNothing(X23_272_7)
% 27.19/4.32
% 27.19/4.32 [3125] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [3128] (xsd_string(X24_50_8) <=> ~xsd_integer(X24_50_8))
% 27.19/4.32
% 27.19/4.32 [3128] BETA_EQUIV : (xsd_string(X24_50_8) <=> ~xsd_integer(X24_50_8))
% 27.19/4.32 -> [3129] ~xsd_string(X24_50_8), ~~xsd_integer(X24_50_8)
% 27.19/4.32 -> [3130] xsd_string(X24_50_8), ~xsd_integer(X24_50_8)
% 27.19/4.32
% 27.19/4.32 [3129] ALPHA_NOT_NOT : ~~xsd_integer(X24_50_8)
% 27.19/4.32 -> [3134] xsd_integer(X24_50_8)
% 27.19/4.32
% 27.19/4.32 [3134] CLOSURE : ~~xsd_integer(X24_50_8)
% 27.19/4.32
% 27.19/4.32 [3130] CLOSURE : ~xsd_integer(X24_50_8)
% 27.19/4.32
% 27.19/4.32 [3120] BETA_NOT_AND : ~(=(A21_146_6, A21_146_6) & xsd_string(A21_146_6))
% 27.19/4.32 -> [3185] ~=(A21_146_6, A21_146_6)
% 27.19/4.32 -> [3186] ~xsd_string(A21_146_6)
% 27.19/4.32
% 27.19/4.32 [3185] CLOSURE : ~=(A21_146_6, A21_146_6)
% 27.19/4.32
% 27.19/4.32 [3189] BETA_EQUIV : (xsd_string(X24_52_8) <=> ~xsd_integer(X24_52_8))
% 27.19/4.32 -> [3222] ~xsd_string(X24_52_8), ~~xsd_integer(X24_52_8)
% 27.19/4.32 -> [3223] xsd_string(X24_52_8), ~xsd_integer(X24_52_8)
% 27.19/4.32
% 27.19/4.32 [3222] ALPHA_NOT_NOT : ~~xsd_integer(X24_52_8)
% 27.19/4.32 -> [3226] xsd_integer(X24_52_8)
% 27.19/4.32
% 27.19/4.32 [3226] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.32 -> [3227] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32
% 27.19/4.32 [3227] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32 -> [3228] ~cc(skolem_X3333)
% 27.19/4.32 -> [3229] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32
% 27.19/4.32 [3228] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [3233] CLOSURE : rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3223] CLOSURE : ~xsd_integer(X24_52_8)
% 27.19/4.32
% 27.19/4.32 [645] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [3242] ((=(B20_88_5, B20_88_5) & xsd_integer(B20_88_5)) => xsd_integer(B20_88_5))
% 27.19/4.32
% 27.19/4.32 [3242] BETA_IMPLY : ((=(B20_88_5, B20_88_5) & xsd_integer(B20_88_5)) => xsd_integer(B20_88_5))
% 27.19/4.32 -> [3243] ~(=(B20_88_5, B20_88_5) & xsd_integer(B20_88_5))
% 27.19/4.32 -> [3244] xsd_integer(B20_88_5)
% 27.19/4.32
% 27.19/4.32 [3243] BETA_NOT_AND : ~(=(B20_88_5, B20_88_5) & xsd_integer(B20_88_5))
% 27.19/4.32 -> [3245] ~=(B20_88_5, B20_88_5)
% 27.19/4.32 -> [3246] ~xsd_integer(B20_88_5)
% 27.19/4.32
% 27.19/4.32 [3245] CLOSURE : ~=(B20_88_5, B20_88_5)
% 27.19/4.32
% 27.19/4.32 [3246] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [3247] ((=(B22_148_6, B22_148_6) & xsd_string(B22_148_6)) => xsd_string(B22_148_6))
% 27.19/4.32
% 27.19/4.32 [3247] BETA_IMPLY : ((=(B22_148_6, B22_148_6) & xsd_string(B22_148_6)) => xsd_string(B22_148_6))
% 27.19/4.32 -> [3249] ~(=(B22_148_6, B22_148_6) & xsd_string(B22_148_6))
% 27.19/4.32 -> [3250] xsd_string(B22_148_6)
% 27.19/4.32
% 27.19/4.32 [3249] BETA_NOT_AND : ~(=(B22_148_6, B22_148_6) & xsd_string(B22_148_6))
% 27.19/4.32 -> [3253] ~=(B22_148_6, B22_148_6)
% 27.19/4.32 -> [3254] ~xsd_string(B22_148_6)
% 27.19/4.32
% 27.19/4.32 [3254] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [3260] (cowlThing(X23_278_7) & ~cowlNothing(X23_278_7))
% 27.19/4.32
% 27.19/4.32 [3260] ALPHA_AND : (cowlThing(X23_278_7) & ~cowlNothing(X23_278_7))
% 27.19/4.32 -> [3264] cowlThing(X23_278_7), ~cowlNothing(X23_278_7)
% 27.19/4.32
% 27.19/4.32 [3264] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [3270] (xsd_string(X24_54_8) <=> ~xsd_integer(X24_54_8))
% 27.19/4.32
% 27.19/4.32 [3270] BETA_EQUIV : (xsd_string(X24_54_8) <=> ~xsd_integer(X24_54_8))
% 27.19/4.32 -> [3274] ~xsd_string(X24_54_8), ~~xsd_integer(X24_54_8)
% 27.19/4.32 -> [3275] xsd_string(X24_54_8), ~xsd_integer(X24_54_8)
% 27.19/4.32
% 27.19/4.32 [3274] ALPHA_NOT_NOT : ~~xsd_integer(X24_54_8)
% 27.19/4.32 -> [3281] xsd_integer(X24_54_8)
% 27.19/4.32
% 27.19/4.32 [3281] CLOSURE : xsd_integer(X24_54_8)
% 27.19/4.32
% 27.19/4.32 [3275] CLOSURE : xsd_string(X24_54_8)
% 27.19/4.32
% 27.19/4.32 [3253] CLOSURE : ~=(B22_148_6, B22_148_6)
% 27.19/4.32
% 27.19/4.32 [3250] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [3258] (cowlThing(X23_276_7) & ~cowlNothing(X23_276_7))
% 27.19/4.32
% 27.19/4.32 [3258] ALPHA_AND : (cowlThing(X23_276_7) & ~cowlNothing(X23_276_7))
% 27.19/4.32 -> [3262] cowlThing(X23_276_7), ~cowlNothing(X23_276_7)
% 27.19/4.32
% 27.19/4.32 [3262] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [3269] (xsd_string(X24_53_8) <=> ~xsd_integer(X24_53_8))
% 27.19/4.32
% 27.19/4.32 [3269] BETA_EQUIV : (xsd_string(X24_53_8) <=> ~xsd_integer(X24_53_8))
% 27.19/4.32 -> [3272] ~xsd_string(X24_53_8), ~~xsd_integer(X24_53_8)
% 27.19/4.32 -> [3273] xsd_string(X24_53_8), ~xsd_integer(X24_53_8)
% 27.19/4.32
% 27.19/4.32 [3272] ALPHA_NOT_NOT : ~~xsd_integer(X24_53_8)
% 27.19/4.32 -> [3285] xsd_integer(X24_53_8)
% 27.19/4.32
% 27.19/4.32 [3285] CLOSURE : xsd_integer(X24_53_8)
% 27.19/4.32
% 27.19/4.32 [3273] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.32 -> [3289] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32
% 27.19/4.32 [3289] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32 -> [3290] ~cc(skolem_X3333)
% 27.19/4.32 -> [3291] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32
% 27.19/4.32 [3290] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [3291] ALPHA_AND : (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32 -> [3292] ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))), ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.32
% 27.19/4.32 [3292] DELTA_EXISTS : ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.32 -> [3293] ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32
% 27.19/4.32 [3293] ALPHA_AND : ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3294] (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))), ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3294] ALPHA_AND : (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3301] rp(skolem_X3333, skolem_Y02929(skolem_X3333)), rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3301] GAMMA_NOT_EXISTS : ~? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35)))
% 27.19/4.32 -> [3303] ~((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32
% 27.19/4.32 [3303] BETA_NOT_AND : ~((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3304] ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3305] ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3305] ALPHA_NOT_NOT : ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32 -> [3308] =(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3308] CLOSURE : =
% 27.19/4.32
% 27.19/4.32 [3304] BETA_NOT_AND : ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3341] ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32 -> [3342] ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3342] CLOSURE : ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3341] CLOSURE : ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3244] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [3248] ((=(B20_88_5, B20_88_5) & xsd_string(B20_88_5)) => xsd_string(B20_88_5))
% 27.19/4.32
% 27.19/4.32 [3248] BETA_IMPLY : ((=(B20_88_5, B20_88_5) & xsd_string(B20_88_5)) => xsd_string(B20_88_5))
% 27.19/4.32 -> [3251] ~(=(B20_88_5, B20_88_5) & xsd_string(B20_88_5))
% 27.19/4.32 -> [3252] xsd_string(B20_88_5)
% 27.19/4.32
% 27.19/4.32 [3252] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [3257] (cowlThing(X23_275_7) & ~cowlNothing(X23_275_7))
% 27.19/4.32
% 27.19/4.32 [3257] ALPHA_AND : (cowlThing(X23_275_7) & ~cowlNothing(X23_275_7))
% 27.19/4.32 -> [3261] cowlThing(X23_275_7), ~cowlNothing(X23_275_7)
% 27.19/4.32
% 27.19/4.32 [3261] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [3276] (xsd_string(X24_56_8) <=> ~xsd_integer(X24_56_8))
% 27.19/4.32
% 27.19/4.32 [3276] BETA_EQUIV : (xsd_string(X24_56_8) <=> ~xsd_integer(X24_56_8))
% 27.19/4.32 -> [3277] ~xsd_string(X24_56_8), ~~xsd_integer(X24_56_8)
% 27.19/4.32 -> [3278] xsd_string(X24_56_8), ~xsd_integer(X24_56_8)
% 27.19/4.32
% 27.19/4.32 [3277] ALPHA_NOT_NOT : ~~xsd_integer(X24_56_8)
% 27.19/4.32 -> [3284] xsd_integer(X24_56_8)
% 27.19/4.32
% 27.19/4.32 [3284] CLOSURE : ~~xsd_integer(X24_56_8)
% 27.19/4.32
% 27.19/4.32 [3278] CLOSURE : ~xsd_integer(X24_56_8)
% 27.19/4.32
% 27.19/4.32 [3251] BETA_NOT_AND : ~(=(B20_88_5, B20_88_5) & xsd_string(B20_88_5))
% 27.19/4.32 -> [3343] ~=(B20_88_5, B20_88_5)
% 27.19/4.32 -> [3344] ~xsd_string(B20_88_5)
% 27.19/4.32
% 27.19/4.32 [3343] CLOSURE : ~=(B20_88_5, B20_88_5)
% 27.19/4.32
% 27.19/4.32 [3344] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [3345] (cowlThing(X23_279_7) & ~cowlNothing(X23_279_7))
% 27.19/4.32
% 27.19/4.32 [3345] ALPHA_AND : (cowlThing(X23_279_7) & ~cowlNothing(X23_279_7))
% 27.19/4.32 -> [3346] cowlThing(X23_279_7), ~cowlNothing(X23_279_7)
% 27.19/4.32
% 27.19/4.32 [3346] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.32 -> [3347] (xsd_string(X24_57_8) <=> ~xsd_integer(X24_57_8))
% 27.19/4.32
% 27.19/4.32 [3347] BETA_EQUIV : (xsd_string(X24_57_8) <=> ~xsd_integer(X24_57_8))
% 27.19/4.32 -> [3348] ~xsd_string(X24_57_8), ~~xsd_integer(X24_57_8)
% 27.19/4.32 -> [3349] xsd_string(X24_57_8), ~xsd_integer(X24_57_8)
% 27.19/4.32
% 27.19/4.32 [3349] CLOSURE : ~xsd_integer(X24_57_8)
% 27.19/4.32
% 27.19/4.32 [3348] ALPHA_NOT_NOT : ~~xsd_integer(X24_57_8)
% 27.19/4.32 -> [3350] xsd_integer(X24_57_8)
% 27.19/4.32
% 27.19/4.32 [3350] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.32 -> [3351] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32
% 27.19/4.32 [3351] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.32 -> [3352] ~cc(skolem_X3333)
% 27.19/4.32 -> [3353] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32
% 27.19/4.32 [3352] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [3353] ALPHA_AND : (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.32 -> [3358] ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))), ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.32
% 27.19/4.32 [3358] DELTA_EXISTS : ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.32 -> [3361] ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32
% 27.19/4.32 [3361] ALPHA_AND : ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3362] (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))), ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3362] ALPHA_AND : (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3363] rp(skolem_X3333, skolem_Y02929(skolem_X3333)), rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3363] GAMMA_NOT_EXISTS : ~? [Y034_34, Y135_35] : (((rp(skolem_X3333, Y034_34) & rp(skolem_X3333, Y135_35)) & ~=(Y034_34, Y135_35)))
% 27.19/4.32 -> [3376] ~((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32
% 27.19/4.32 [3376] BETA_NOT_AND : ~((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3377] ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3378] ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3378] ALPHA_NOT_NOT : ~~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32 -> [3379] =(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3379] CLOSURE : =
% 27.19/4.32
% 27.19/4.32 [3377] BETA_NOT_AND : ~(rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.32 -> [3388] ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32 -> [3389] ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3388] CLOSURE : ~rp(skolem_X3333, skolem_Y02929(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [3389] CLOSURE : ~rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [607] CLOSURE : ~=(B14_20_3, B14_20_3)
% 27.19/4.32
% 27.19/4.32 [19] DELTA_NOT_FORALL : ~! [Y036_36, Y137_37, Y238_38] : ((((rp(skolem_X3333, Y036_36) & rp(skolem_X3333, Y137_37)) & rp(skolem_X3333, Y238_38)) => ((=(Y036_36, Y137_37) | =(Y036_36, Y238_38)) | =(Y137_37, Y238_38))))
% 27.19/4.32 -> [36] ~(((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838)))
% 27.19/4.32
% 27.19/4.32 [36] ALPHA_NOT_IMPLY : ~(((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838)))
% 27.19/4.32 -> [41] ((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838)), ~((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.32
% 27.19/4.32 [41] ALPHA_AND : ((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [48] (rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)), rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [48] ALPHA_NOT_OR : ~((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.32 -> [100] ~(=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)), ~=(skolem_Y13737, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [100] ALPHA_AND : (rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32 -> [1657] rp(skolem_X3333, skolem_Y03636), rp(skolem_X3333, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [1657] ALPHA_NOT_OR : ~(=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838))
% 27.19/4.32 -> [1728] ~=(skolem_Y03636, skolem_Y13737), ~=(skolem_Y03636, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [1728] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cc(A7_7)) => cc(B8_8)))
% 27.19/4.32 -> [1906] ((=(skolem_X3333, skolem_X3333) & cc(skolem_X3333)) => cc(skolem_X3333))
% 27.19/4.32
% 27.19/4.32 [1906] BETA_IMPLY : ((=(skolem_X3333, skolem_X3333) & cc(skolem_X3333)) => cc(skolem_X3333))
% 27.19/4.32 -> [1907] ~(=(skolem_X3333, skolem_X3333) & cc(skolem_X3333))
% 27.19/4.32 -> [1908] cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [1907] BETA_NOT_AND : ~(=(skolem_X3333, skolem_X3333) & cc(skolem_X3333))
% 27.19/4.32 -> [1923] ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32 -> [1924] ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [1923] CLOSURE : ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [1924] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [1908] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 27.19/4.32 -> [1938] ((=(B10_9_1, B10_9_1) & cowlNothing(B10_9_1)) => cowlNothing(B10_9_1))
% 27.19/4.32
% 27.19/4.32 [1938] BETA_IMPLY : ((=(B10_9_1, B10_9_1) & cowlNothing(B10_9_1)) => cowlNothing(B10_9_1))
% 27.19/4.32 -> [1940] ~(=(B10_9_1, B10_9_1) & cowlNothing(B10_9_1))
% 27.19/4.32 -> [1941] cowlNothing(B10_9_1)
% 27.19/4.32
% 27.19/4.32 [1941] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [1981] ((=(B12_16_2, B12_16_2) & cowlThing(B12_16_2)) => cowlThing(B12_16_2))
% 27.19/4.32
% 27.19/4.32 [1981] BETA_IMPLY : ((=(B12_16_2, B12_16_2) & cowlThing(B12_16_2)) => cowlThing(B12_16_2))
% 27.19/4.32 -> [1984] ~(=(B12_16_2, B12_16_2) & cowlThing(B12_16_2))
% 27.19/4.32 -> [1985] cowlThing(B12_16_2)
% 27.19/4.32
% 27.19/4.32 [1985] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [2034] ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838)) => rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32
% 27.19/4.32 [2034] BETA_IMPLY : ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838)) => rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2035] ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2036] rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2035] BETA_NOT_AND : ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2065] ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32 -> [2066] ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2066] CLOSURE : ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2065] CLOSURE : ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [2036] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2090] ((=(skolem_Y13737, skolem_Y13737) & rp(skolem_X3333, skolem_Y13737)) => rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32
% 27.19/4.32 [2090] BETA_IMPLY : ((=(skolem_Y13737, skolem_Y13737) & rp(skolem_X3333, skolem_Y13737)) => rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32 -> [2093] ~(=(skolem_Y13737, skolem_Y13737) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32 -> [2094] rp(skolem_X3333, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [2093] BETA_NOT_AND : ~(=(skolem_Y13737, skolem_Y13737) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32 -> [2134] ~=(skolem_Y13737, skolem_Y13737)
% 27.19/4.32 -> [2135] ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [2135] CLOSURE : ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [2134] CLOSURE : ~=(skolem_Y13737, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [2094] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2171] ((=(B20_70_5, B20_70_5) & xsd_integer(B20_70_5)) => xsd_integer(B20_70_5))
% 27.19/4.32
% 27.19/4.32 [2171] BETA_IMPLY : ((=(B20_70_5, B20_70_5) & xsd_integer(B20_70_5)) => xsd_integer(B20_70_5))
% 27.19/4.32 -> [2175] ~(=(B20_70_5, B20_70_5) & xsd_integer(B20_70_5))
% 27.19/4.32 -> [2176] xsd_integer(B20_70_5)
% 27.19/4.32
% 27.19/4.32 [2176] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2258] ((=(B22_112_6, B22_112_6) & xsd_string(B22_112_6)) => xsd_string(B22_112_6))
% 27.19/4.32
% 27.19/4.32 [2258] BETA_IMPLY : ((=(B22_112_6, B22_112_6) & xsd_string(B22_112_6)) => xsd_string(B22_112_6))
% 27.19/4.32 -> [2260] ~(=(B22_112_6, B22_112_6) & xsd_string(B22_112_6))
% 27.19/4.32 -> [2261] xsd_string(B22_112_6)
% 27.19/4.32
% 27.19/4.32 [2261] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2318] (cowlThing(X23_185_7) & ~cowlNothing(X23_185_7))
% 27.19/4.32
% 27.19/4.32 [2318] ALPHA_AND : (cowlThing(X23_185_7) & ~cowlNothing(X23_185_7))
% 27.19/4.32 -> [2323] cowlThing(X23_185_7), ~cowlNothing(X23_185_7)
% 27.19/4.32
% 27.19/4.32 [2323] CLOSURE : ~cowlNothing(X23_185_7)
% 27.19/4.32
% 27.19/4.32 [2260] BETA_NOT_AND : ~(=(B22_112_6, B22_112_6) & xsd_string(B22_112_6))
% 27.19/4.32 -> [2298] ~=(B22_112_6, B22_112_6)
% 27.19/4.32 -> [2299] ~xsd_string(B22_112_6)
% 27.19/4.32
% 27.19/4.32 [2298] CLOSURE : ~=(B22_112_6, B22_112_6)
% 27.19/4.32
% 27.19/4.32 [2299] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2414] (cowlThing(X23_196_7) & ~cowlNothing(X23_196_7))
% 27.19/4.32
% 27.19/4.32 [2414] ALPHA_AND : (cowlThing(X23_196_7) & ~cowlNothing(X23_196_7))
% 27.19/4.32 -> [2415] cowlThing(X23_196_7), ~cowlNothing(X23_196_7)
% 27.19/4.32
% 27.19/4.32 [2415] CLOSURE : ~cowlNothing(X23_196_7)
% 27.19/4.32
% 27.19/4.32 [2175] BETA_NOT_AND : ~(=(B20_70_5, B20_70_5) & xsd_integer(B20_70_5))
% 27.19/4.32 -> [2219] ~=(B20_70_5, B20_70_5)
% 27.19/4.32 -> [2220] ~xsd_integer(B20_70_5)
% 27.19/4.32
% 27.19/4.32 [2219] CLOSURE : ~=(B20_70_5, B20_70_5)
% 27.19/4.32
% 27.19/4.32 [2220] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2326] ((=(B22_116_6, B22_116_6) & xsd_string(B22_116_6)) => xsd_string(B22_116_6))
% 27.19/4.32
% 27.19/4.32 [2326] BETA_IMPLY : ((=(B22_116_6, B22_116_6) & xsd_string(B22_116_6)) => xsd_string(B22_116_6))
% 27.19/4.32 -> [2329] ~(=(B22_116_6, B22_116_6) & xsd_string(B22_116_6))
% 27.19/4.32 -> [2330] xsd_string(B22_116_6)
% 27.19/4.32
% 27.19/4.32 [2329] BETA_NOT_AND : ~(=(B22_116_6, B22_116_6) & xsd_string(B22_116_6))
% 27.19/4.32 -> [2352] ~=(B22_116_6, B22_116_6)
% 27.19/4.32 -> [2353] ~xsd_string(B22_116_6)
% 27.19/4.32
% 27.19/4.32 [2352] CLOSURE : ~=(B22_116_6, B22_116_6)
% 27.19/4.32
% 27.19/4.32 [2353] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2426] (cowlThing(X23_200_7) & ~cowlNothing(X23_200_7))
% 27.19/4.32
% 27.19/4.32 [2426] ALPHA_AND : (cowlThing(X23_200_7) & ~cowlNothing(X23_200_7))
% 27.19/4.32 -> [2427] cowlThing(X23_200_7), ~cowlNothing(X23_200_7)
% 27.19/4.32
% 27.19/4.32 [2427] CLOSURE : ~cowlNothing(X23_200_7)
% 27.19/4.32
% 27.19/4.32 [2330] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2409] (cowlThing(X23_195_7) & ~cowlNothing(X23_195_7))
% 27.19/4.32
% 27.19/4.32 [2409] ALPHA_AND : (cowlThing(X23_195_7) & ~cowlNothing(X23_195_7))
% 27.19/4.32 -> [2411] cowlThing(X23_195_7), ~cowlNothing(X23_195_7)
% 27.19/4.32
% 27.19/4.32 [2411] CLOSURE : ~cowlNothing(X23_195_7)
% 27.19/4.32
% 27.19/4.32 [1984] BETA_NOT_AND : ~(=(B12_16_2, B12_16_2) & cowlThing(B12_16_2))
% 27.19/4.32 -> [1996] ~=(B12_16_2, B12_16_2)
% 27.19/4.32 -> [1997] ~cowlThing(B12_16_2)
% 27.19/4.32
% 27.19/4.32 [1996] CLOSURE : ~=(B12_16_2, B12_16_2)
% 27.19/4.32
% 27.19/4.32 [1997] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [2070] ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838)) => rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32
% 27.19/4.32 [2070] BETA_IMPLY : ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838)) => rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2073] ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2074] rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2073] BETA_NOT_AND : ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2079] ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32 -> [2080] ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2080] CLOSURE : ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2079] CLOSURE : ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [2074] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2120] ((=(skolem_Y23838, skolem_Y23838) & rp(skolem_X3333, skolem_Y23838)) => rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32
% 27.19/4.32 [2120] BETA_IMPLY : ((=(skolem_Y23838, skolem_Y23838) & rp(skolem_X3333, skolem_Y23838)) => rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2121] ~(=(skolem_Y23838, skolem_Y23838) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2122] rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2121] BETA_NOT_AND : ~(=(skolem_Y23838, skolem_Y23838) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.32 -> [2136] ~=(skolem_Y23838, skolem_Y23838)
% 27.19/4.32 -> [2137] ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2137] CLOSURE : ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2136] CLOSURE : ~=(skolem_Y23838, skolem_Y23838)
% 27.19/4.32
% 27.19/4.32 [2122] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2163] ((=(B20_69_5, B20_69_5) & xsd_integer(B20_69_5)) => xsd_integer(B20_69_5))
% 27.19/4.32
% 27.19/4.32 [2163] BETA_IMPLY : ((=(B20_69_5, B20_69_5) & xsd_integer(B20_69_5)) => xsd_integer(B20_69_5))
% 27.19/4.32 -> [2165] ~(=(B20_69_5, B20_69_5) & xsd_integer(B20_69_5))
% 27.19/4.32 -> [2166] xsd_integer(B20_69_5)
% 27.19/4.32
% 27.19/4.32 [2166] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2264] ((=(B22_113_6, B22_113_6) & xsd_string(B22_113_6)) => xsd_string(B22_113_6))
% 27.19/4.32
% 27.19/4.32 [2264] BETA_IMPLY : ((=(B22_113_6, B22_113_6) & xsd_string(B22_113_6)) => xsd_string(B22_113_6))
% 27.19/4.32 -> [2266] ~(=(B22_113_6, B22_113_6) & xsd_string(B22_113_6))
% 27.19/4.32 -> [2267] xsd_string(B22_113_6)
% 27.19/4.32
% 27.19/4.32 [2267] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2347] (cowlThing(X23_190_7) & ~cowlNothing(X23_190_7))
% 27.19/4.32
% 27.19/4.32 [2347] ALPHA_AND : (cowlThing(X23_190_7) & ~cowlNothing(X23_190_7))
% 27.19/4.32 -> [2348] cowlThing(X23_190_7), ~cowlNothing(X23_190_7)
% 27.19/4.32
% 27.19/4.32 [2348] CLOSURE : cowlThing(X23_190_7)
% 27.19/4.32
% 27.19/4.32 [2266] BETA_NOT_AND : ~(=(B22_113_6, B22_113_6) & xsd_string(B22_113_6))
% 27.19/4.32 -> [2291] ~=(B22_113_6, B22_113_6)
% 27.19/4.32 -> [2292] ~xsd_string(B22_113_6)
% 27.19/4.32
% 27.19/4.32 [2291] CLOSURE : ~=(B22_113_6, B22_113_6)
% 27.19/4.32
% 27.19/4.32 [2292] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2358] (cowlThing(X23_191_7) & ~cowlNothing(X23_191_7))
% 27.19/4.32
% 27.19/4.32 [2358] ALPHA_AND : (cowlThing(X23_191_7) & ~cowlNothing(X23_191_7))
% 27.19/4.32 -> [2363] cowlThing(X23_191_7), ~cowlNothing(X23_191_7)
% 27.19/4.32
% 27.19/4.32 [2363] CLOSURE : cowlThing(X23_191_7)
% 27.19/4.32
% 27.19/4.32 [2165] BETA_NOT_AND : ~(=(B20_69_5, B20_69_5) & xsd_integer(B20_69_5))
% 27.19/4.32 -> [2184] ~=(B20_69_5, B20_69_5)
% 27.19/4.32 -> [2185] ~xsd_integer(B20_69_5)
% 27.19/4.32
% 27.19/4.32 [2184] CLOSURE : ~=(B20_69_5, B20_69_5)
% 27.19/4.32
% 27.19/4.32 [2185] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.32 -> [2437] ((=(B22_126_6, B22_126_6) & xsd_string(B22_126_6)) => xsd_string(B22_126_6))
% 27.19/4.32
% 27.19/4.32 [2437] BETA_IMPLY : ((=(B22_126_6, B22_126_6) & xsd_string(B22_126_6)) => xsd_string(B22_126_6))
% 27.19/4.32 -> [2439] ~(=(B22_126_6, B22_126_6) & xsd_string(B22_126_6))
% 27.19/4.32 -> [2440] xsd_string(B22_126_6)
% 27.19/4.32
% 27.19/4.32 [2439] BETA_NOT_AND : ~(=(B22_126_6, B22_126_6) & xsd_string(B22_126_6))
% 27.19/4.32 -> [2455] ~=(B22_126_6, B22_126_6)
% 27.19/4.32 -> [2456] ~xsd_string(B22_126_6)
% 27.19/4.32
% 27.19/4.32 [2455] CLOSURE : ~=(B22_126_6, B22_126_6)
% 27.19/4.32
% 27.19/4.32 [2456] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2500] (cowlThing(X23_216_7) & ~cowlNothing(X23_216_7))
% 27.19/4.32
% 27.19/4.32 [2500] ALPHA_AND : (cowlThing(X23_216_7) & ~cowlNothing(X23_216_7))
% 27.19/4.32 -> [2502] cowlThing(X23_216_7), ~cowlNothing(X23_216_7)
% 27.19/4.32
% 27.19/4.32 [2502] CLOSURE : cowlThing(X23_216_7)
% 27.19/4.32
% 27.19/4.32 [2440] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.32 -> [2543] (cowlThing(X23_221_7) & ~cowlNothing(X23_221_7))
% 27.19/4.32
% 27.19/4.32 [2543] ALPHA_AND : (cowlThing(X23_221_7) & ~cowlNothing(X23_221_7))
% 27.19/4.32 -> [2544] cowlThing(X23_221_7), ~cowlNothing(X23_221_7)
% 27.19/4.32
% 27.19/4.32 [2544] CLOSURE : cowlThing(X23_221_7)
% 27.19/4.32
% 27.19/4.32 [1940] BETA_NOT_AND : ~(=(B10_9_1, B10_9_1) & cowlNothing(B10_9_1))
% 27.19/4.32 -> [1963] ~=(B10_9_1, B10_9_1)
% 27.19/4.32 -> [1964] ~cowlNothing(B10_9_1)
% 27.19/4.32
% 27.19/4.32 [1963] CLOSURE : ~=(B10_9_1, B10_9_1)
% 27.19/4.32
% 27.19/4.32 [1964] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 27.19/4.32 -> [2018] ((=(B12_17_2, B12_17_2) & cowlThing(B12_17_2)) => cowlThing(B12_17_2))
% 27.19/4.32
% 27.19/4.32 [2018] BETA_IMPLY : ((=(B12_17_2, B12_17_2) & cowlThing(B12_17_2)) => cowlThing(B12_17_2))
% 27.19/4.32 -> [2020] ~(=(B12_17_2, B12_17_2) & cowlThing(B12_17_2))
% 27.19/4.32 -> [2021] cowlThing(B12_17_2)
% 27.19/4.32
% 27.19/4.32 [2020] BETA_NOT_AND : ~(=(B12_17_2, B12_17_2) & cowlThing(B12_17_2))
% 27.19/4.32 -> [2063] ~=(B12_17_2, B12_17_2)
% 27.19/4.32 -> [2064] ~cowlThing(B12_17_2)
% 27.19/4.32
% 27.19/4.32 [2063] CLOSURE : ~=(B12_17_2, B12_17_2)
% 27.19/4.32
% 27.19/4.32 [2064] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.32 -> [2103] ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737)) => rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32
% 27.19/4.32 [2103] BETA_IMPLY : ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737)) => rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32 -> [2107] ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32 -> [2108] rp(skolem_X3333, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [2107] BETA_NOT_AND : ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.32 -> [2127] ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32 -> [2128] ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [2127] CLOSURE : ~=(skolem_X3333, skolem_X3333)
% 27.19/4.32
% 27.19/4.32 [2128] CLOSURE : ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.32
% 27.19/4.32 [2108] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.32 -> [2172] ((=(B17_61_4, B17_61_4) & rp(C18_61_4, B17_61_4)) => rp(C18_61_4, B17_61_4))
% 27.19/4.32
% 27.19/4.32 [2172] BETA_IMPLY : ((=(B17_61_4, B17_61_4) & rp(C18_61_4, B17_61_4)) => rp(C18_61_4, B17_61_4))
% 27.19/4.32 -> [2177] ~(=(B17_61_4, B17_61_4) & rp(C18_61_4, B17_61_4))
% 27.19/4.32 -> [2178] rp(C18_61_4, B17_61_4)
% 27.19/4.32
% 27.19/4.32 [2178] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.32 -> [2303] ((=(B20_75_5, B20_75_5) & xsd_integer(B20_75_5)) => xsd_integer(B20_75_5))
% 27.19/4.32
% 27.19/4.32 [2303] BETA_IMPLY : ((=(B20_75_5, B20_75_5) & xsd_integer(B20_75_5)) => xsd_integer(B20_75_5))
% 27.19/4.33 -> [2304] ~(=(B20_75_5, B20_75_5) & xsd_integer(B20_75_5))
% 27.19/4.33 -> [2305] xsd_integer(B20_75_5)
% 27.19/4.33
% 27.19/4.33 [2304] BETA_NOT_AND : ~(=(B20_75_5, B20_75_5) & xsd_integer(B20_75_5))
% 27.19/4.33 -> [2315] ~=(B20_75_5, B20_75_5)
% 27.19/4.33 -> [2316] ~xsd_integer(B20_75_5)
% 27.19/4.33
% 27.19/4.33 [2315] CLOSURE : ~=(B20_75_5, B20_75_5)
% 27.19/4.33
% 27.19/4.33 [2316] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.33 -> [2392] ((=(B22_124_6, B22_124_6) & xsd_string(B22_124_6)) => xsd_string(B22_124_6))
% 27.19/4.33
% 27.19/4.33 [2392] BETA_IMPLY : ((=(B22_124_6, B22_124_6) & xsd_string(B22_124_6)) => xsd_string(B22_124_6))
% 27.19/4.33 -> [2394] ~(=(B22_124_6, B22_124_6) & xsd_string(B22_124_6))
% 27.19/4.33 -> [2395] xsd_string(B22_124_6)
% 27.19/4.33
% 27.19/4.33 [2395] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.33 -> [2448] (cowlThing(X23_207_7) & ~cowlNothing(X23_207_7))
% 27.19/4.33
% 27.19/4.33 [2448] ALPHA_AND : (cowlThing(X23_207_7) & ~cowlNothing(X23_207_7))
% 27.19/4.33 -> [2450] cowlThing(X23_207_7), ~cowlNothing(X23_207_7)
% 27.19/4.33
% 27.19/4.33 [2450] CLOSURE : cowlThing(X23_207_7)
% 27.19/4.33
% 27.19/4.33 [2394] BETA_NOT_AND : ~(=(B22_124_6, B22_124_6) & xsd_string(B22_124_6))
% 27.19/4.33 -> [2418] ~=(B22_124_6, B22_124_6)
% 27.19/4.33 -> [2419] ~xsd_string(B22_124_6)
% 27.19/4.33
% 27.19/4.33 [2419] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.33 -> [2476] (cowlThing(X23_212_7) & ~cowlNothing(X23_212_7))
% 27.19/4.33
% 27.19/4.33 [2476] ALPHA_AND : (cowlThing(X23_212_7) & ~cowlNothing(X23_212_7))
% 27.19/4.33 -> [2477] cowlThing(X23_212_7), ~cowlNothing(X23_212_7)
% 27.19/4.33
% 27.19/4.33 [2477] CLOSURE : cowlThing(X23_212_7)
% 27.19/4.33
% 27.19/4.33 [2418] CLOSURE : ~=(B22_124_6, B22_124_6)
% 27.19/4.33
% 27.19/4.33 [2305] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.33 -> [2369] ((=(B22_121_6, B22_121_6) & xsd_string(B22_121_6)) => xsd_string(B22_121_6))
% 27.19/4.33
% 27.19/4.33 [2369] BETA_IMPLY : ((=(B22_121_6, B22_121_6) & xsd_string(B22_121_6)) => xsd_string(B22_121_6))
% 27.19/4.33 -> [2370] ~(=(B22_121_6, B22_121_6) & xsd_string(B22_121_6))
% 27.19/4.33 -> [2371] xsd_string(B22_121_6)
% 27.19/4.33
% 27.19/4.33 [2370] BETA_NOT_AND : ~(=(B22_121_6, B22_121_6) & xsd_string(B22_121_6))
% 27.19/4.33 -> [2398] ~=(B22_121_6, B22_121_6)
% 27.19/4.33 -> [2399] ~xsd_string(B22_121_6)
% 27.19/4.33
% 27.19/4.33 [2398] CLOSURE : ~=(B22_121_6, B22_121_6)
% 27.19/4.33
% 27.19/4.33 [2399] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.33 -> [2493] (cowlThing(X23_215_7) & ~cowlNothing(X23_215_7))
% 27.19/4.33
% 27.19/4.33 [2493] ALPHA_AND : (cowlThing(X23_215_7) & ~cowlNothing(X23_215_7))
% 27.19/4.33 -> [2496] cowlThing(X23_215_7), ~cowlNothing(X23_215_7)
% 27.19/4.33
% 27.19/4.33 [2496] CLOSURE : cowlThing(X23_215_7)
% 27.19/4.33
% 27.19/4.33 [2371] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.33 -> [2438] (cowlThing(X23_203_7) & ~cowlNothing(X23_203_7))
% 27.19/4.33
% 27.19/4.33 [2438] ALPHA_AND : (cowlThing(X23_203_7) & ~cowlNothing(X23_203_7))
% 27.19/4.33 -> [2442] cowlThing(X23_203_7), ~cowlNothing(X23_203_7)
% 27.19/4.33
% 27.19/4.33 [2442] CLOSURE : cowlThing(X23_203_7)
% 27.19/4.33
% 27.19/4.33 [2177] BETA_NOT_AND : ~(=(B17_61_4, B17_61_4) & rp(C18_61_4, B17_61_4))
% 27.19/4.33 -> [2490] ~=(B17_61_4, B17_61_4)
% 27.19/4.33 -> [2491] ~rp(C18_61_4, B17_61_4)
% 27.19/4.33
% 27.19/4.33 [2490] CLOSURE : ~=(B17_61_4, B17_61_4)
% 27.19/4.33
% 27.19/4.33 [2491] CLOSURE : ~rp(C18_61_4, B17_61_4)
% 27.19/4.33
% 27.19/4.33 [2021] GAMMA_FORALL : ! [A13_13, B14_14, C15_15] : (((=(A13_13, B14_14) & rp(A13_13, C15_15)) => rp(B14_14, C15_15)))
% 27.19/4.33 -> [2085] ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737)) => rp(skolem_X3333, skolem_Y13737))
% 27.19/4.33
% 27.19/4.33 [2085] BETA_IMPLY : ((=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737)) => rp(skolem_X3333, skolem_Y13737))
% 27.19/4.33 -> [2086] ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.33 -> [2087] rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33
% 27.19/4.33 [2086] BETA_NOT_AND : ~(=(skolem_X3333, skolem_X3333) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.33 -> [2118] ~=(skolem_X3333, skolem_X3333)
% 27.19/4.33 -> [2119] ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33
% 27.19/4.33 [2118] CLOSURE : ~=(skolem_X3333, skolem_X3333)
% 27.19/4.33
% 27.19/4.33 [2119] CLOSURE : ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33
% 27.19/4.33 [2087] GAMMA_FORALL : ! [A16_16, B17_17, C18_18] : (((=(A16_16, B17_17) & rp(C18_18, A16_16)) => rp(C18_18, B17_17)))
% 27.19/4.33 -> [2150] ((=(skolem_Y03636, skolem_Y03636) & rp(skolem_X3333, skolem_Y03636)) => rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33
% 27.19/4.33 [2150] BETA_IMPLY : ((=(skolem_Y03636, skolem_Y03636) & rp(skolem_X3333, skolem_Y03636)) => rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33 -> [2153] ~(=(skolem_Y03636, skolem_Y03636) & rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33 -> [2154] rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [2153] BETA_NOT_AND : ~(=(skolem_Y03636, skolem_Y03636) & rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33 -> [2201] ~=(skolem_Y03636, skolem_Y03636)
% 27.19/4.33 -> [2202] ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [2202] CLOSURE : ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [2201] CLOSURE : ~=(skolem_Y03636, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [2154] GAMMA_FORALL : ! [A19_19, B20_20] : (((=(A19_19, B20_20) & xsd_integer(A19_19)) => xsd_integer(B20_20)))
% 27.19/4.33 -> [2295] ((=(B20_74_5, B20_74_5) & xsd_integer(B20_74_5)) => xsd_integer(B20_74_5))
% 27.19/4.33
% 27.19/4.33 [2295] BETA_IMPLY : ((=(B20_74_5, B20_74_5) & xsd_integer(B20_74_5)) => xsd_integer(B20_74_5))
% 27.19/4.33 -> [2296] ~(=(B20_74_5, B20_74_5) & xsd_integer(B20_74_5))
% 27.19/4.33 -> [2297] xsd_integer(B20_74_5)
% 27.19/4.33
% 27.19/4.33 [2296] BETA_NOT_AND : ~(=(B20_74_5, B20_74_5) & xsd_integer(B20_74_5))
% 27.19/4.33 -> [2307] ~=(B20_74_5, B20_74_5)
% 27.19/4.33 -> [2308] ~xsd_integer(B20_74_5)
% 27.19/4.33
% 27.19/4.33 [2307] CLOSURE : ~=(B20_74_5, B20_74_5)
% 27.19/4.33
% 27.19/4.33 [2308] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.33 -> [2357] ((=(B20_74_5, B20_74_5) & xsd_string(B20_74_5)) => xsd_string(B20_74_5))
% 27.19/4.33
% 27.19/4.33 [2357] BETA_IMPLY : ((=(B20_74_5, B20_74_5) & xsd_string(B20_74_5)) => xsd_string(B20_74_5))
% 27.19/4.33 -> [2359] ~(=(B20_74_5, B20_74_5) & xsd_string(B20_74_5))
% 27.19/4.33 -> [2360] xsd_string(B20_74_5)
% 27.19/4.33
% 27.19/4.33 [2359] BETA_NOT_AND : ~(=(B20_74_5, B20_74_5) & xsd_string(B20_74_5))
% 27.19/4.33 -> [2382] ~=(B20_74_5, B20_74_5)
% 27.19/4.33 -> [2383] ~xsd_string(B20_74_5)
% 27.19/4.33
% 27.19/4.33 [2382] CLOSURE : ~=(B20_74_5, B20_74_5)
% 27.19/4.33
% 27.19/4.33 [2522] BETA_EQUIV : (xsd_string(X24_34_8) <=> ~xsd_integer(X24_34_8))
% 27.19/4.33 -> [2762] ~xsd_string(X24_34_8), ~~xsd_integer(X24_34_8)
% 27.19/4.33 -> [2763] xsd_string(X24_34_8), ~xsd_integer(X24_34_8)
% 27.19/4.33
% 27.19/4.33 [2762] ALPHA_NOT_NOT : ~~xsd_integer(X24_34_8)
% 27.19/4.33 -> [2778] xsd_integer(X24_34_8)
% 27.19/4.33
% 27.19/4.33 [2778] CLOSURE : xsd_integer(X24_34_8)
% 27.19/4.33
% 27.19/4.33 [2763] CLOSURE : xsd_string(X24_34_8)
% 27.19/4.33
% 27.19/4.33 [2360] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.33 -> [2501] (cowlThing(X23_217_7) & ~cowlNothing(X23_217_7))
% 27.19/4.33
% 27.19/4.33 [2501] ALPHA_AND : (cowlThing(X23_217_7) & ~cowlNothing(X23_217_7))
% 27.19/4.33 -> [2503] cowlThing(X23_217_7), ~cowlNothing(X23_217_7)
% 27.19/4.33
% 27.19/4.33 [2503] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.33 -> [2535] (xsd_string(X24_35_8) <=> ~xsd_integer(X24_35_8))
% 27.19/4.33
% 27.19/4.33 [2535] BETA_EQUIV : (xsd_string(X24_35_8) <=> ~xsd_integer(X24_35_8))
% 27.19/4.33 -> [2536] ~xsd_string(X24_35_8), ~~xsd_integer(X24_35_8)
% 27.19/4.33 -> [2537] xsd_string(X24_35_8), ~xsd_integer(X24_35_8)
% 27.19/4.33
% 27.19/4.33 [2536] ALPHA_NOT_NOT : ~~xsd_integer(X24_35_8)
% 27.19/4.33 -> [2589] xsd_integer(X24_35_8)
% 27.19/4.33
% 27.19/4.33 [2589] CLOSURE : xsd_integer(X24_35_8)
% 27.19/4.33
% 27.19/4.33 [2537] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.33 -> [2598] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.33
% 27.19/4.33 [2598] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.33 -> [2601] ~cc(skolem_X3333)
% 27.19/4.33 -> [2602] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.33
% 27.19/4.33 [2601] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.33
% 27.19/4.33 [2602] ALPHA_AND : (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.33 -> [2614] ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))), ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.33
% 27.19/4.33 [2614] DELTA_EXISTS : ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.33 -> [2617] ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.33
% 27.19/4.33 [2617] ALPHA_AND : ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.33 -> [2618] (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))), ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.33
% 27.19/4.33 [2618] ALPHA_AND : (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.33 -> [2647] rp(skolem_X3333, skolem_Y02929(skolem_X3333)), rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.33
% 27.19/4.33 [2647] GAMMA_FORALL : ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28))))
% 27.19/4.33 -> [2678] (((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838)))
% 27.19/4.33
% 27.19/4.33 [2678] BETA_IMPLY : (((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838)))
% 27.19/4.33 -> [2682] ~((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.33 -> [2683] ((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.33
% 27.19/4.33 [2683] BETA_OR : ((=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838)) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.33 -> [2693] (=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838))
% 27.19/4.33 -> [2694] =(skolem_Y13737, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [2694] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [2693] BETA_OR : (=(skolem_Y03636, skolem_Y13737) | =(skolem_Y03636, skolem_Y23838))
% 27.19/4.33 -> [3108] =(skolem_Y03636, skolem_Y13737)
% 27.19/4.33 -> [3109] =(skolem_Y03636, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [3108] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [3109] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [2682] BETA_NOT_AND : ~((rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737)) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.33 -> [3265] ~(rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.33 -> [3266] ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [3266] CLOSURE : ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [3265] BETA_NOT_AND : ~(rp(skolem_X3333, skolem_Y03636) & rp(skolem_X3333, skolem_Y13737))
% 27.19/4.33 -> [3267] ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33 -> [3268] ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33
% 27.19/4.33 [3267] CLOSURE : ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [3268] CLOSURE : ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33
% 27.19/4.33 [2297] GAMMA_FORALL : ! [A21_21, B22_22] : (((=(A21_21, B22_22) & xsd_string(A21_21)) => xsd_string(B22_22)))
% 27.19/4.33 -> [2335] ((=(B22_117_6, B22_117_6) & xsd_string(B22_117_6)) => xsd_string(B22_117_6))
% 27.19/4.33
% 27.19/4.33 [2335] BETA_IMPLY : ((=(B22_117_6, B22_117_6) & xsd_string(B22_117_6)) => xsd_string(B22_117_6))
% 27.19/4.33 -> [2336] ~(=(B22_117_6, B22_117_6) & xsd_string(B22_117_6))
% 27.19/4.33 -> [2337] xsd_string(B22_117_6)
% 27.19/4.33
% 27.19/4.33 [2337] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.33 -> [2445] (cowlThing(X23_205_7) & ~cowlNothing(X23_205_7))
% 27.19/4.33
% 27.19/4.33 [2445] ALPHA_AND : (cowlThing(X23_205_7) & ~cowlNothing(X23_205_7))
% 27.19/4.33 -> [2525] cowlThing(X23_205_7), ~cowlNothing(X23_205_7)
% 27.19/4.33
% 27.19/4.33 [2525] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.33 -> [2579] (xsd_string(X24_36_8) <=> ~xsd_integer(X24_36_8))
% 27.19/4.33
% 27.19/4.33 [2579] BETA_EQUIV : (xsd_string(X24_36_8) <=> ~xsd_integer(X24_36_8))
% 27.19/4.33 -> [2581] ~xsd_string(X24_36_8), ~~xsd_integer(X24_36_8)
% 27.19/4.33 -> [2582] xsd_string(X24_36_8), ~xsd_integer(X24_36_8)
% 27.19/4.33
% 27.19/4.33 [2582] CLOSURE : ~xsd_integer(X24_36_8)
% 27.19/4.33
% 27.19/4.33 [2623] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.33 -> [2710] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.33
% 27.19/4.33 [2710] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.33 -> [2713] ~cc(skolem_X3333)
% 27.19/4.33 -> [2714] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.33
% 27.19/4.33 [2713] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.33
% 27.19/4.33 [2714] ALPHA_AND : (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.33 -> [2723] ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))), ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.33
% 27.19/4.33 [2723] DELTA_EXISTS : ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.33 -> [2726] ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.33
% 27.19/4.33 [2726] ALPHA_AND : ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.33 -> [2729] (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))), ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.33
% 27.19/4.33 [2729] ALPHA_AND : (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.33 -> [2741] rp(skolem_X3333, skolem_Y02929(skolem_X3333)), rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.33
% 27.19/4.33 [2741] GAMMA_FORALL : ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28))))
% 27.19/4.33 -> [2766] (((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838)))
% 27.19/4.33
% 27.19/4.33 [2766] BETA_IMPLY : (((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838)))
% 27.19/4.33 -> [2768] ~((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.33 -> [2769] ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838))
% 27.19/4.33
% 27.19/4.33 [2769] BETA_OR : ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838))
% 27.19/4.33 -> [2776] (=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.33 -> [2777] =(skolem_Y03636, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [2777] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [2776] BETA_OR : (=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.33 -> [2883] =(skolem_Y13737, skolem_Y03636)
% 27.19/4.33 -> [2884] =(skolem_Y13737, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [2883] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [2884] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [2768] BETA_NOT_AND : ~((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.33 -> [2907] ~(rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33 -> [2908] ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [2908] CLOSURE : ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [2907] BETA_NOT_AND : ~(rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33 -> [2911] ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33 -> [2912] ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [2912] CLOSURE : ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [2911] CLOSURE : ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33
% 27.19/4.33 [2336] BETA_NOT_AND : ~(=(B22_117_6, B22_117_6) & xsd_string(B22_117_6))
% 27.19/4.33 -> [2367] ~=(B22_117_6, B22_117_6)
% 27.19/4.33 -> [2368] ~xsd_string(B22_117_6)
% 27.19/4.33
% 27.19/4.33 [2367] CLOSURE : ~=(B22_117_6, B22_117_6)
% 27.19/4.33
% 27.19/4.33 [2368] GAMMA_FORALL : ! [X23_23] : ((cowlThing(X23_23) & ~cowlNothing(X23_23)))
% 27.19/4.33 -> [2464] (cowlThing(X23_209_7) & ~cowlNothing(X23_209_7))
% 27.19/4.33
% 27.19/4.33 [2464] ALPHA_AND : (cowlThing(X23_209_7) & ~cowlNothing(X23_209_7))
% 27.19/4.33 -> [2465] cowlThing(X23_209_7), ~cowlNothing(X23_209_7)
% 27.19/4.33
% 27.19/4.33 [2465] GAMMA_FORALL : ! [X24_24] : ((xsd_string(X24_24) <=> ~xsd_integer(X24_24)))
% 27.19/4.33 -> [2484] (xsd_string(X24_32_8) <=> ~xsd_integer(X24_32_8))
% 27.19/4.33
% 27.19/4.33 [2484] BETA_EQUIV : (xsd_string(X24_32_8) <=> ~xsd_integer(X24_32_8))
% 27.19/4.33 -> [2485] ~xsd_string(X24_32_8), ~~xsd_integer(X24_32_8)
% 27.19/4.33 -> [2486] xsd_string(X24_32_8), ~xsd_integer(X24_32_8)
% 27.19/4.33
% 27.19/4.33 [2486] CLOSURE : ~xsd_integer(X24_32_8)
% 27.19/4.33
% 27.19/4.33 [2485] ALPHA_NOT_NOT : ~~xsd_integer(X24_32_8)
% 27.19/4.33 -> [2506] xsd_integer(X24_32_8)
% 27.19/4.33
% 27.19/4.33 [2506] GAMMA_FORALL : ! [X25_25] : ((cc(X25_25) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(X25_25, Y026_26) & rp(X25_25, Y127_27)) & rp(X25_25, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(X25_25, Y029_29) & rp(X25_25, Y130_30)) & ~=(Y029_29, Y130_30))))))
% 27.19/4.33 -> [2519] (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.33
% 27.19/4.33 [2519] BETA_IMPLY : (cc(skolem_X3333) => (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))))
% 27.19/4.33 -> [2520] ~cc(skolem_X3333)
% 27.19/4.33 -> [2521] (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.33
% 27.19/4.33 [2520] CLOSURE : ~cc(skolem_X3333)
% 27.19/4.33
% 27.19/4.33 [2521] ALPHA_AND : (! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))) & ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30))))
% 27.19/4.33 -> [2528] ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28)))), ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.33
% 27.19/4.33 [2528] DELTA_EXISTS : ? [Y029_29, Y130_30] : (((rp(skolem_X3333, Y029_29) & rp(skolem_X3333, Y130_30)) & ~=(Y029_29, Y130_30)))
% 27.19/4.33 -> [2530] ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.33
% 27.19/4.33 [2530] ALPHA_AND : ((rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))) & ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333)))
% 27.19/4.33 -> [2532] (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333))), ~=(skolem_Y02929(skolem_X3333), skolem_Y13030(skolem_X3333))
% 27.19/4.33
% 27.19/4.33 [2532] ALPHA_AND : (rp(skolem_X3333, skolem_Y02929(skolem_X3333)) & rp(skolem_X3333, skolem_Y13030(skolem_X3333)))
% 27.19/4.33 -> [2559] rp(skolem_X3333, skolem_Y02929(skolem_X3333)), rp(skolem_X3333, skolem_Y13030(skolem_X3333))
% 27.19/4.33
% 27.19/4.33 [2559] GAMMA_FORALL : ! [Y026_26, Y127_27, Y228_28] : ((((rp(skolem_X3333, Y026_26) & rp(skolem_X3333, Y127_27)) & rp(skolem_X3333, Y228_28)) => ((=(Y026_26, Y127_27) | =(Y026_26, Y228_28)) | =(Y127_27, Y228_28))))
% 27.19/4.33 -> [2629] (((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838)))
% 27.19/4.33
% 27.19/4.33 [2629] BETA_IMPLY : (((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838)) => ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838)))
% 27.19/4.33 -> [2630] ~((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.33 -> [2631] ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838))
% 27.19/4.33
% 27.19/4.33 [2631] BETA_OR : ((=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838)) | =(skolem_Y03636, skolem_Y23838))
% 27.19/4.33 -> [2636] (=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.33 -> [2637] =(skolem_Y03636, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [2637] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [2636] BETA_OR : (=(skolem_Y13737, skolem_Y03636) | =(skolem_Y13737, skolem_Y23838))
% 27.19/4.33 -> [3240] =(skolem_Y13737, skolem_Y03636)
% 27.19/4.33 -> [3241] =(skolem_Y13737, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [3241] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [3240] CLOSURE : =
% 27.19/4.33
% 27.19/4.33 [2630] BETA_NOT_AND : ~((rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636)) & rp(skolem_X3333, skolem_Y23838))
% 27.19/4.33 -> [3426] ~(rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33 -> [3427] ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [3427] CLOSURE : ~rp(skolem_X3333, skolem_Y23838)
% 27.19/4.33
% 27.19/4.33 [3426] BETA_NOT_AND : ~(rp(skolem_X3333, skolem_Y13737) & rp(skolem_X3333, skolem_Y03636))
% 27.19/4.33 -> [3428] ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33 -> [3429] ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [3429] CLOSURE : ~rp(skolem_X3333, skolem_Y03636)
% 27.19/4.33
% 27.19/4.33 [3428] CLOSURE : ~rp(skolem_X3333, skolem_Y13737)
% 27.19/4.33
% 27.19/4.33 % SZS output end Proof for theBenchmark.p
% 27.19/4.33 [3.985819s][1][Res] 44218 goroutines created
% 27.19/4.33 ==== Result ====
% 27.19/4.33 [3.985878s][1][Res] VALID
% 27.19/4.33 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------