TSTP Solution File: KRS078+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS078+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n026.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 17:33:08 EDT 2022
% Result : Unsatisfiable 98.36s 21.28s
% Output : Proof 98.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS078+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Sep 1 09:44:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000042s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Conjecture not found
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 22
% 0.13/0.34 Launch Gotab with destructive = true
% 98.30/21.25 % SZS output start Proof for theBenchmark.p
% 98.30/21.27 [0] ALPHA_AND : (! [A9_9, B10_10] : (((=(A9_9, B10_10) & cUnsatisfiable(A9_9)) => cUnsatisfiable(B10_10))) & ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlNothing(A11_11)) => cowlNothing(B12_12))) & ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14))) & ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16))) & ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18))) & ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21))) & ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23))) & ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27))) & ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29))) & ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33))) & ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35))) & ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38))) & ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40))) & ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41))) & ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42))) & ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50))) & cUnsatisfiable(i2003_11_14_17_19_13721))
% 98.30/21.27 -> [1] ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cUnsatisfiable(A9_9)) => cUnsatisfiable(B10_10))), ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlNothing(A11_11)) => cowlNothing(B12_12))), ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14))), ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16))), ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18))), ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21))), ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23))), ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27))), ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29))), ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33))), ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35))), ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38))), ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40))), ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41))), ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42))), ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50))), cUnsatisfiable(i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [1] Rewrite : cUnsatisfiable(i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2] (? [Y44_44] : (((rr(i2003_11_14_17_19_13721, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))) & ? [Y49_49] : (((rs(i2003_11_14_17_19_13721, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49))))
% 98.30/21.27
% 98.30/21.27 [2] ALPHA_AND : (? [Y44_44] : (((rr(i2003_11_14_17_19_13721, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))) & ? [Y49_49] : (((rs(i2003_11_14_17_19_13721, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49))))
% 98.30/21.27 -> [3] ? [Y44_44] : (((rr(i2003_11_14_17_19_13721, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))), ? [Y49_49] : (((rs(i2003_11_14_17_19_13721, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49)))
% 98.30/21.27
% 98.30/21.27 [3] DELTA_EXISTS : ? [Y44_44] : (((rr(i2003_11_14_17_19_13721, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48)))))
% 98.30/21.27 -> [4] ((rr(i2003_11_14_17_19_13721, skolem_Y4444) & ? [Z45_45] : ((rinvR(skolem_Y4444, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48))))
% 98.30/21.27
% 98.30/21.27 [4] ALPHA_AND : ((rr(i2003_11_14_17_19_13721, skolem_Y4444) & ? [Z45_45] : ((rinvR(skolem_Y4444, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48))))
% 98.30/21.27 -> [5] (rr(i2003_11_14_17_19_13721, skolem_Y4444) & ? [Z45_45] : ((rinvR(skolem_Y4444, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))), ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.27
% 98.30/21.27 [5] ALPHA_AND : (rr(i2003_11_14_17_19_13721, skolem_Y4444) & ? [Z45_45] : ((rinvR(skolem_Y4444, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46))))))
% 98.30/21.27 -> [6] rr(i2003_11_14_17_19_13721, skolem_Y4444), ? [Z45_45] : ((rinvR(skolem_Y4444, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))
% 98.30/21.27
% 98.30/21.27 [6] DELTA_EXISTS : ? [Y49_49] : (((rs(i2003_11_14_17_19_13721, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49)))
% 98.30/21.27 -> [7] ((rs(i2003_11_14_17_19_13721, skolem_Y4949) & ~cq(skolem_Y4949)) & ~cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [7] ALPHA_AND : ((rs(i2003_11_14_17_19_13721, skolem_Y4949) & ~cq(skolem_Y4949)) & ~cp(skolem_Y4949))
% 98.30/21.27 -> [8] (rs(i2003_11_14_17_19_13721, skolem_Y4949) & ~cq(skolem_Y4949)), ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [8] ALPHA_AND : (rs(i2003_11_14_17_19_13721, skolem_Y4949) & ~cq(skolem_Y4949))
% 98.30/21.27 -> [9] rs(i2003_11_14_17_19_13721, skolem_Y4949), ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [9] DELTA_EXISTS : ? [Z45_45] : ((rinvR(skolem_Y4444, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))
% 98.30/21.27 -> [10] (rinvR(skolem_Y4444, skolem_Z4545) & ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46))))
% 98.30/21.27
% 98.30/21.27 [10] ALPHA_AND : (rinvR(skolem_Y4444, skolem_Z4545) & ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46))))
% 98.30/21.27 -> [11] rinvR(skolem_Y4444, skolem_Z4545), ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.30/21.27
% 98.30/21.27 [11] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cUnsatisfiable(A9_9)) => cUnsatisfiable(B10_10)))
% 98.30/21.27 -> [12] ((=(B10_0_0, B10_0_0) & cUnsatisfiable(B10_0_0)) => cUnsatisfiable(B10_0_0))
% 98.30/21.27
% 98.30/21.27 [12] BETA_IMPLY : ((=(B10_0_0, B10_0_0) & cUnsatisfiable(B10_0_0)) => cUnsatisfiable(B10_0_0))
% 98.30/21.27 -> [13] ~(=(B10_0_0, B10_0_0) & cUnsatisfiable(B10_0_0))
% 98.30/21.27 -> [14] cUnsatisfiable(B10_0_0)
% 98.30/21.27
% 98.30/21.27 [13] BETA_NOT_AND : ~(=(B10_0_0, B10_0_0) & cUnsatisfiable(B10_0_0))
% 98.30/21.27 -> [15] ~=(B10_0_0, B10_0_0)
% 98.30/21.27 -> [16] ~cUnsatisfiable(B10_0_0)
% 98.30/21.27
% 98.30/21.27 [15] CLOSURE : ~=(B10_0_0, B10_0_0)
% 98.30/21.27
% 98.30/21.27 [16] Rewrite : ~cUnsatisfiable(B10_0_0)
% 98.30/21.27 -> [17] ~(? [Y44_44] : (((rr(B10_0_0, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))) & ? [Y49_49] : (((rs(B10_0_0, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49))))
% 98.30/21.27
% 98.30/21.27 [17] BETA_NOT_AND : ~(? [Y44_44] : (((rr(B10_0_0, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))) & ? [Y49_49] : (((rs(B10_0_0, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49))))
% 98.30/21.27 -> [19] ~? [Y44_44] : (((rr(B10_0_0, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48)))))
% 98.30/21.27 -> [20] ~? [Y49_49] : (((rs(B10_0_0, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49)))
% 98.30/21.27
% 98.30/21.27 [20] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlNothing(A11_11)) => cowlNothing(B12_12)))
% 98.30/21.27 -> [22] ((=(B12_0_1, B12_0_1) & cowlNothing(B12_0_1)) => cowlNothing(B12_0_1))
% 98.30/21.27
% 98.30/21.27 [22] BETA_IMPLY : ((=(B12_0_1, B12_0_1) & cowlNothing(B12_0_1)) => cowlNothing(B12_0_1))
% 98.30/21.27 -> [25] ~(=(B12_0_1, B12_0_1) & cowlNothing(B12_0_1))
% 98.30/21.27 -> [26] cowlNothing(B12_0_1)
% 98.30/21.27
% 98.30/21.27 [26] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14)))
% 98.30/21.27 -> [38] ((=(B14_1_2, B14_1_2) & cowlThing(B14_1_2)) => cowlThing(B14_1_2))
% 98.30/21.27
% 98.30/21.27 [38] BETA_IMPLY : ((=(B14_1_2, B14_1_2) & cowlThing(B14_1_2)) => cowlThing(B14_1_2))
% 98.30/21.27 -> [42] ~(=(B14_1_2, B14_1_2) & cowlThing(B14_1_2))
% 98.30/21.27 -> [43] cowlThing(B14_1_2)
% 98.30/21.27
% 98.30/21.27 [42] BETA_NOT_AND : ~(=(B14_1_2, B14_1_2) & cowlThing(B14_1_2))
% 98.30/21.27 -> [47] ~=(B14_1_2, B14_1_2)
% 98.30/21.27 -> [48] ~cowlThing(B14_1_2)
% 98.30/21.27
% 98.30/21.27 [47] CLOSURE : ~=(B14_1_2, B14_1_2)
% 98.30/21.27
% 98.30/21.27 [48] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [75] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [75] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [76] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [77] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [77] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [76] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [1240] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1241] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1240] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1241] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [1257] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1257] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [1260] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1261] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1261] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1260] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1610] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1611] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1610] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1611] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [1695] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [1695] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1696] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1697] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1696] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1706] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [1707] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1706] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1707] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1697] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [1845] ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [1845] BETA_IMPLY : ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1846] ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1847] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1846] BETA_NOT_AND : ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1867] ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27 -> [1868] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1868] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1867] CLOSURE : ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1847] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [1888] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [1888] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1890] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1891] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1890] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1908] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [1909] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1909] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1908] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [1891] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [1929] ((=(B29_30_8, B29_30_8) & rr(C30_30_8, B29_30_8)) => rr(C30_30_8, B29_30_8))
% 98.30/21.27
% 98.30/21.27 [1929] BETA_IMPLY : ((=(B29_30_8, B29_30_8) & rr(C30_30_8, B29_30_8)) => rr(C30_30_8, B29_30_8))
% 98.30/21.27 -> [1930] ~(=(B29_30_8, B29_30_8) & rr(C30_30_8, B29_30_8))
% 98.30/21.27 -> [1931] rr(C30_30_8, B29_30_8)
% 98.30/21.27
% 98.30/21.27 [1930] BETA_NOT_AND : ~(=(B29_30_8, B29_30_8) & rr(C30_30_8, B29_30_8))
% 98.30/21.27 -> [1945] ~=(B29_30_8, B29_30_8)
% 98.30/21.27 -> [1946] ~rr(C30_30_8, B29_30_8)
% 98.30/21.27
% 98.30/21.27 [1945] CLOSURE : ~=(B29_30_8, B29_30_8)
% 98.30/21.27
% 98.30/21.27 [1946] CLOSURE : ~rr(C30_30_8, B29_30_8)
% 98.30/21.27
% 98.30/21.27 [1931] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [2016] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2016] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2017] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2018] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2017] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2054] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2055] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2054] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2055] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2018] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [2047] ((=(B35_30_10, B35_30_10) & rs(C36_30_10, B35_30_10)) => rs(C36_30_10, B35_30_10))
% 98.30/21.27
% 98.30/21.27 [2047] BETA_IMPLY : ((=(B35_30_10, B35_30_10) & rs(C36_30_10, B35_30_10)) => rs(C36_30_10, B35_30_10))
% 98.30/21.27 -> [2050] ~(=(B35_30_10, B35_30_10) & rs(C36_30_10, B35_30_10))
% 98.30/21.27 -> [2051] rs(C36_30_10, B35_30_10)
% 98.30/21.27
% 98.30/21.27 [2051] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [2066] ((=(B38_30_11, B38_30_11) & xsd_integer(B38_30_11)) => xsd_integer(B38_30_11))
% 98.30/21.27
% 98.30/21.27 [2066] BETA_IMPLY : ((=(B38_30_11, B38_30_11) & xsd_integer(B38_30_11)) => xsd_integer(B38_30_11))
% 98.30/21.27 -> [2067] ~(=(B38_30_11, B38_30_11) & xsd_integer(B38_30_11))
% 98.30/21.27 -> [2068] xsd_integer(B38_30_11)
% 98.30/21.27
% 98.30/21.27 [2067] BETA_NOT_AND : ~(=(B38_30_11, B38_30_11) & xsd_integer(B38_30_11))
% 98.30/21.27 -> [2073] ~=(B38_30_11, B38_30_11)
% 98.30/21.27 -> [2074] ~xsd_integer(B38_30_11)
% 98.30/21.27
% 98.30/21.27 [2073] CLOSURE : ~=(B38_30_11, B38_30_11)
% 98.30/21.27
% 98.30/21.27 [2074] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2099] ((=(B40_60_12, B40_60_12) & xsd_string(B40_60_12)) => xsd_string(B40_60_12))
% 98.30/21.27
% 98.30/21.27 [2099] BETA_IMPLY : ((=(B40_60_12, B40_60_12) & xsd_string(B40_60_12)) => xsd_string(B40_60_12))
% 98.30/21.27 -> [2103] ~(=(B40_60_12, B40_60_12) & xsd_string(B40_60_12))
% 98.30/21.27 -> [2104] xsd_string(B40_60_12)
% 98.30/21.27
% 98.30/21.27 [2103] BETA_NOT_AND : ~(=(B40_60_12, B40_60_12) & xsd_string(B40_60_12))
% 98.30/21.27 -> [2109] ~=(B40_60_12, B40_60_12)
% 98.30/21.27 -> [2110] ~xsd_string(B40_60_12)
% 98.30/21.27
% 98.30/21.27 [2109] CLOSURE : ~=(B40_60_12, B40_60_12)
% 98.30/21.27
% 98.30/21.27 [2110] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2125] (cowlThing(X41_121_13) & ~cowlNothing(X41_121_13))
% 98.30/21.27
% 98.30/21.27 [2125] ALPHA_AND : (cowlThing(X41_121_13) & ~cowlNothing(X41_121_13))
% 98.30/21.27 -> [2128] cowlThing(X41_121_13), ~cowlNothing(X41_121_13)
% 98.30/21.27
% 98.30/21.27 [2128] CLOSURE : cowlThing(X41_121_13)
% 98.30/21.27
% 98.30/21.27 [2104] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2129] (cowlThing(X41_122_13) & ~cowlNothing(X41_122_13))
% 98.30/21.27
% 98.30/21.27 [2129] ALPHA_AND : (cowlThing(X41_122_13) & ~cowlNothing(X41_122_13))
% 98.30/21.27 -> [2130] cowlThing(X41_122_13), ~cowlNothing(X41_122_13)
% 98.30/21.27
% 98.30/21.27 [2130] CLOSURE : cowlThing(X41_122_13)
% 98.30/21.27
% 98.30/21.27 [2068] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2100] ((=(B40_61_12, B40_61_12) & xsd_string(B40_61_12)) => xsd_string(B40_61_12))
% 98.30/21.27
% 98.30/21.27 [2100] BETA_IMPLY : ((=(B40_61_12, B40_61_12) & xsd_string(B40_61_12)) => xsd_string(B40_61_12))
% 98.30/21.27 -> [2105] ~(=(B40_61_12, B40_61_12) & xsd_string(B40_61_12))
% 98.30/21.27 -> [2106] xsd_string(B40_61_12)
% 98.30/21.27
% 98.30/21.27 [2105] BETA_NOT_AND : ~(=(B40_61_12, B40_61_12) & xsd_string(B40_61_12))
% 98.30/21.27 -> [2107] ~=(B40_61_12, B40_61_12)
% 98.30/21.27 -> [2108] ~xsd_string(B40_61_12)
% 98.30/21.27
% 98.30/21.27 [2107] CLOSURE : ~=(B40_61_12, B40_61_12)
% 98.30/21.27
% 98.30/21.27 [2108] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2123] (cowlThing(X41_120_13) & ~cowlNothing(X41_120_13))
% 98.30/21.27
% 98.30/21.27 [2123] ALPHA_AND : (cowlThing(X41_120_13) & ~cowlNothing(X41_120_13))
% 98.30/21.27 -> [2124] cowlThing(X41_120_13), ~cowlNothing(X41_120_13)
% 98.30/21.27
% 98.30/21.27 [2124] CLOSURE : cowlThing(X41_120_13)
% 98.30/21.27
% 98.30/21.27 [2106] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2168] (cowlThing(X41_123_13) & ~cowlNothing(X41_123_13))
% 98.30/21.27
% 98.30/21.27 [2168] ALPHA_AND : (cowlThing(X41_123_13) & ~cowlNothing(X41_123_13))
% 98.30/21.27 -> [2169] cowlThing(X41_123_13), ~cowlNothing(X41_123_13)
% 98.30/21.27
% 98.30/21.27 [2169] CLOSURE : cowlThing(X41_123_13)
% 98.30/21.27
% 98.30/21.27 [2050] BETA_NOT_AND : ~(=(B35_30_10, B35_30_10) & rs(C36_30_10, B35_30_10))
% 98.30/21.27 -> [2052] ~=(B35_30_10, B35_30_10)
% 98.30/21.27 -> [2053] ~rs(C36_30_10, B35_30_10)
% 98.30/21.27
% 98.30/21.27 [2053] CLOSURE : ~rs(C36_30_10, B35_30_10)
% 98.30/21.27
% 98.30/21.27 [2052] CLOSURE : ~=(B35_30_10, B35_30_10)
% 98.30/21.27
% 98.30/21.27 [43] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [53] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [53] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [54] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [55] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [55] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [54] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [1666] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1667] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1666] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1667] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [1683] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1683] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [1684] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1685] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1685] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1684] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [2094] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [2095] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2094] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2095] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [2154] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [2154] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2157] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2158] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2157] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2166] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [2167] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2167] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2166] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2158] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [2182] ((=(B23_36_6, B23_36_6) & rinvR(C24_36_6, B23_36_6)) => rinvR(C24_36_6, B23_36_6))
% 98.30/21.27
% 98.30/21.27 [2182] BETA_IMPLY : ((=(B23_36_6, B23_36_6) & rinvR(C24_36_6, B23_36_6)) => rinvR(C24_36_6, B23_36_6))
% 98.30/21.27 -> [2183] ~(=(B23_36_6, B23_36_6) & rinvR(C24_36_6, B23_36_6))
% 98.30/21.27 -> [2184] rinvR(C24_36_6, B23_36_6)
% 98.30/21.27
% 98.30/21.27 [2183] BETA_NOT_AND : ~(=(B23_36_6, B23_36_6) & rinvR(C24_36_6, B23_36_6))
% 98.30/21.27 -> [2214] ~=(B23_36_6, B23_36_6)
% 98.30/21.27 -> [2215] ~rinvR(C24_36_6, B23_36_6)
% 98.30/21.27
% 98.30/21.27 [2215] CLOSURE : ~rinvR(C24_36_6, B23_36_6)
% 98.30/21.27
% 98.30/21.27 [2214] CLOSURE : ~=(B23_36_6, B23_36_6)
% 98.30/21.27
% 98.30/21.27 [2184] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [2247] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [2247] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2250] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2251] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2250] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2271] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2272] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2272] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2271] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2251] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [2287] ((=(B29_36_8, B29_36_8) & rr(C30_36_8, B29_36_8)) => rr(C30_36_8, B29_36_8))
% 98.30/21.27
% 98.30/21.27 [2287] BETA_IMPLY : ((=(B29_36_8, B29_36_8) & rr(C30_36_8, B29_36_8)) => rr(C30_36_8, B29_36_8))
% 98.30/21.27 -> [2288] ~(=(B29_36_8, B29_36_8) & rr(C30_36_8, B29_36_8))
% 98.30/21.27 -> [2289] rr(C30_36_8, B29_36_8)
% 98.30/21.27
% 98.30/21.27 [2288] BETA_NOT_AND : ~(=(B29_36_8, B29_36_8) & rr(C30_36_8, B29_36_8))
% 98.30/21.27 -> [2294] ~=(B29_36_8, B29_36_8)
% 98.30/21.27 -> [2295] ~rr(C30_36_8, B29_36_8)
% 98.30/21.27
% 98.30/21.27 [2294] CLOSURE : ~=(B29_36_8, B29_36_8)
% 98.30/21.27
% 98.30/21.27 [2295] CLOSURE : ~rr(C30_36_8, B29_36_8)
% 98.30/21.27
% 98.30/21.27 [2289] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [2304] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2304] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2305] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2306] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2305] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2312] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2313] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2313] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2312] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2306] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [2320] ((=(B35_35_10, B35_35_10) & rs(C36_35_10, B35_35_10)) => rs(C36_35_10, B35_35_10))
% 98.30/21.27
% 98.30/21.27 [2320] BETA_IMPLY : ((=(B35_35_10, B35_35_10) & rs(C36_35_10, B35_35_10)) => rs(C36_35_10, B35_35_10))
% 98.30/21.27 -> [2321] ~(=(B35_35_10, B35_35_10) & rs(C36_35_10, B35_35_10))
% 98.30/21.27 -> [2322] rs(C36_35_10, B35_35_10)
% 98.30/21.27
% 98.30/21.27 [2321] BETA_NOT_AND : ~(=(B35_35_10, B35_35_10) & rs(C36_35_10, B35_35_10))
% 98.30/21.27 -> [2325] ~=(B35_35_10, B35_35_10)
% 98.30/21.27 -> [2326] ~rs(C36_35_10, B35_35_10)
% 98.30/21.27
% 98.30/21.27 [2325] CLOSURE : ~=(B35_35_10, B35_35_10)
% 98.30/21.27
% 98.30/21.27 [2326] CLOSURE : ~rs(C36_35_10, B35_35_10)
% 98.30/21.27
% 98.30/21.27 [2322] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [2351] ((=(B38_35_11, B38_35_11) & xsd_integer(B38_35_11)) => xsd_integer(B38_35_11))
% 98.30/21.27
% 98.30/21.27 [2351] BETA_IMPLY : ((=(B38_35_11, B38_35_11) & xsd_integer(B38_35_11)) => xsd_integer(B38_35_11))
% 98.30/21.27 -> [2354] ~(=(B38_35_11, B38_35_11) & xsd_integer(B38_35_11))
% 98.30/21.27 -> [2355] xsd_integer(B38_35_11)
% 98.30/21.27
% 98.30/21.27 [2354] BETA_NOT_AND : ~(=(B38_35_11, B38_35_11) & xsd_integer(B38_35_11))
% 98.30/21.27 -> [2371] ~=(B38_35_11, B38_35_11)
% 98.30/21.27 -> [2372] ~xsd_integer(B38_35_11)
% 98.30/21.27
% 98.30/21.27 [2371] CLOSURE : ~=(B38_35_11, B38_35_11)
% 98.30/21.27
% 98.30/21.27 [2372] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2390] ((=(B40_70_12, B40_70_12) & xsd_string(B40_70_12)) => xsd_string(B40_70_12))
% 98.30/21.27
% 98.30/21.27 [2390] BETA_IMPLY : ((=(B40_70_12, B40_70_12) & xsd_string(B40_70_12)) => xsd_string(B40_70_12))
% 98.30/21.27 -> [2391] ~(=(B40_70_12, B40_70_12) & xsd_string(B40_70_12))
% 98.30/21.27 -> [2392] xsd_string(B40_70_12)
% 98.30/21.27
% 98.30/21.27 [2391] BETA_NOT_AND : ~(=(B40_70_12, B40_70_12) & xsd_string(B40_70_12))
% 98.30/21.27 -> [2395] ~=(B40_70_12, B40_70_12)
% 98.30/21.27 -> [2396] ~xsd_string(B40_70_12)
% 98.30/21.27
% 98.30/21.27 [2395] CLOSURE : ~=(B40_70_12, B40_70_12)
% 98.30/21.27
% 98.30/21.27 [2396] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2405] (cowlThing(X41_138_13) & ~cowlNothing(X41_138_13))
% 98.30/21.27
% 98.30/21.27 [2405] ALPHA_AND : (cowlThing(X41_138_13) & ~cowlNothing(X41_138_13))
% 98.30/21.27 -> [2409] cowlThing(X41_138_13), ~cowlNothing(X41_138_13)
% 98.30/21.27
% 98.30/21.27 [2409] CLOSURE : ~cowlNothing(X41_138_13)
% 98.30/21.27
% 98.30/21.27 [2392] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2410] (cowlThing(X41_139_13) & ~cowlNothing(X41_139_13))
% 98.30/21.27
% 98.30/21.27 [2410] ALPHA_AND : (cowlThing(X41_139_13) & ~cowlNothing(X41_139_13))
% 98.30/21.27 -> [2411] cowlThing(X41_139_13), ~cowlNothing(X41_139_13)
% 98.30/21.27
% 98.30/21.27 [2411] CLOSURE : ~cowlNothing(X41_139_13)
% 98.30/21.27
% 98.30/21.27 [2355] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2394] ((=(B40_72_12, B40_72_12) & xsd_string(B40_72_12)) => xsd_string(B40_72_12))
% 98.30/21.27
% 98.30/21.27 [2394] BETA_IMPLY : ((=(B40_72_12, B40_72_12) & xsd_string(B40_72_12)) => xsd_string(B40_72_12))
% 98.30/21.27 -> [2397] ~(=(B40_72_12, B40_72_12) & xsd_string(B40_72_12))
% 98.30/21.27 -> [2398] xsd_string(B40_72_12)
% 98.30/21.27
% 98.30/21.27 [2397] BETA_NOT_AND : ~(=(B40_72_12, B40_72_12) & xsd_string(B40_72_12))
% 98.30/21.27 -> [2402] ~=(B40_72_12, B40_72_12)
% 98.30/21.27 -> [2403] ~xsd_string(B40_72_12)
% 98.30/21.27
% 98.30/21.27 [2402] CLOSURE : ~=(B40_72_12, B40_72_12)
% 98.30/21.27
% 98.30/21.27 [2403] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2419] (cowlThing(X41_141_13) & ~cowlNothing(X41_141_13))
% 98.30/21.27
% 98.30/21.27 [2419] ALPHA_AND : (cowlThing(X41_141_13) & ~cowlNothing(X41_141_13))
% 98.30/21.27 -> [2421] cowlThing(X41_141_13), ~cowlNothing(X41_141_13)
% 98.30/21.27
% 98.30/21.27 [2421] CLOSURE : ~cowlNothing(X41_141_13)
% 98.30/21.27
% 98.30/21.27 [2398] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2433] (cowlThing(X41_144_13) & ~cowlNothing(X41_144_13))
% 98.30/21.27
% 98.30/21.27 [2433] ALPHA_AND : (cowlThing(X41_144_13) & ~cowlNothing(X41_144_13))
% 98.30/21.27 -> [2434] cowlThing(X41_144_13), ~cowlNothing(X41_144_13)
% 98.30/21.27
% 98.30/21.27 [2434] CLOSURE : ~cowlNothing(X41_144_13)
% 98.30/21.27
% 98.30/21.27 [25] BETA_NOT_AND : ~(=(B12_0_1, B12_0_1) & cowlNothing(B12_0_1))
% 98.30/21.27 -> [29] ~=(B12_0_1, B12_0_1)
% 98.30/21.27 -> [30] ~cowlNothing(B12_0_1)
% 98.30/21.27
% 98.30/21.27 [29] CLOSURE : ~=(B12_0_1, B12_0_1)
% 98.30/21.27
% 98.30/21.27 [30] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14)))
% 98.30/21.27 -> [35] ((=(B14_0_2, B14_0_2) & cowlThing(B14_0_2)) => cowlThing(B14_0_2))
% 98.30/21.27
% 98.30/21.27 [35] BETA_IMPLY : ((=(B14_0_2, B14_0_2) & cowlThing(B14_0_2)) => cowlThing(B14_0_2))
% 98.30/21.27 -> [36] ~(=(B14_0_2, B14_0_2) & cowlThing(B14_0_2))
% 98.30/21.27 -> [37] cowlThing(B14_0_2)
% 98.30/21.27
% 98.30/21.27 [36] BETA_NOT_AND : ~(=(B14_0_2, B14_0_2) & cowlThing(B14_0_2))
% 98.30/21.27 -> [40] ~=(B14_0_2, B14_0_2)
% 98.30/21.27 -> [41] ~cowlThing(B14_0_2)
% 98.30/21.27
% 98.30/21.27 [40] CLOSURE : ~=(B14_0_2, B14_0_2)
% 98.30/21.27
% 98.30/21.27 [41] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [58] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [58] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [59] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [60] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [60] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [59] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [1577] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1578] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1577] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1578] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [1584] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1584] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [1585] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1586] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1586] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1585] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [2143] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [2144] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2143] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2144] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [2172] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [2172] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2173] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2174] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2173] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2192] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [2193] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2192] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2193] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2174] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [2220] ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [2220] BETA_IMPLY : ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2223] ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2224] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2223] BETA_NOT_AND : ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2228] ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27 -> [2229] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2229] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2228] CLOSURE : ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2224] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [2232] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [2232] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2233] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2234] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2233] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2238] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2239] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2238] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2239] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2234] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [2341] ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [2341] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2342] ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2343] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2342] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2346] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [2347] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2347] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2346] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2343] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [2356] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2356] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2357] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2358] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2357] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2364] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2365] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2364] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2365] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2358] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [2383] ((=(B35_37_10, B35_37_10) & rs(C36_37_10, B35_37_10)) => rs(C36_37_10, B35_37_10))
% 98.30/21.27
% 98.30/21.27 [2383] BETA_IMPLY : ((=(B35_37_10, B35_37_10) & rs(C36_37_10, B35_37_10)) => rs(C36_37_10, B35_37_10))
% 98.30/21.27 -> [2384] ~(=(B35_37_10, B35_37_10) & rs(C36_37_10, B35_37_10))
% 98.30/21.27 -> [2385] rs(C36_37_10, B35_37_10)
% 98.30/21.27
% 98.30/21.27 [2384] BETA_NOT_AND : ~(=(B35_37_10, B35_37_10) & rs(C36_37_10, B35_37_10))
% 98.30/21.27 -> [2386] ~=(B35_37_10, B35_37_10)
% 98.30/21.27 -> [2387] ~rs(C36_37_10, B35_37_10)
% 98.30/21.27
% 98.30/21.27 [2387] CLOSURE : ~rs(C36_37_10, B35_37_10)
% 98.30/21.27
% 98.30/21.27 [2386] CLOSURE : ~=(B35_37_10, B35_37_10)
% 98.30/21.27
% 98.30/21.27 [2385] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [2416] ((=(B38_37_11, B38_37_11) & xsd_integer(B38_37_11)) => xsd_integer(B38_37_11))
% 98.30/21.27
% 98.30/21.27 [2416] BETA_IMPLY : ((=(B38_37_11, B38_37_11) & xsd_integer(B38_37_11)) => xsd_integer(B38_37_11))
% 98.30/21.27 -> [2417] ~(=(B38_37_11, B38_37_11) & xsd_integer(B38_37_11))
% 98.30/21.27 -> [2418] xsd_integer(B38_37_11)
% 98.30/21.27
% 98.30/21.27 [2418] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2439] ((=(B40_74_12, B40_74_12) & xsd_string(B40_74_12)) => xsd_string(B40_74_12))
% 98.30/21.27
% 98.30/21.27 [2439] BETA_IMPLY : ((=(B40_74_12, B40_74_12) & xsd_string(B40_74_12)) => xsd_string(B40_74_12))
% 98.30/21.27 -> [2440] ~(=(B40_74_12, B40_74_12) & xsd_string(B40_74_12))
% 98.30/21.27 -> [2441] xsd_string(B40_74_12)
% 98.30/21.27
% 98.30/21.27 [2441] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2455] (cowlThing(X41_149_13) & ~cowlNothing(X41_149_13))
% 98.30/21.27
% 98.30/21.27 [2455] ALPHA_AND : (cowlThing(X41_149_13) & ~cowlNothing(X41_149_13))
% 98.30/21.27 -> [2457] cowlThing(X41_149_13), ~cowlNothing(X41_149_13)
% 98.30/21.27
% 98.30/21.27 [2457] CLOSURE : cowlThing(X41_149_13)
% 98.30/21.27
% 98.30/21.27 [2440] BETA_NOT_AND : ~(=(B40_74_12, B40_74_12) & xsd_string(B40_74_12))
% 98.30/21.27 -> [2451] ~=(B40_74_12, B40_74_12)
% 98.30/21.27 -> [2452] ~xsd_string(B40_74_12)
% 98.30/21.27
% 98.30/21.27 [2452] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2456] (cowlThing(X41_150_13) & ~cowlNothing(X41_150_13))
% 98.30/21.27
% 98.30/21.27 [2456] ALPHA_AND : (cowlThing(X41_150_13) & ~cowlNothing(X41_150_13))
% 98.30/21.27 -> [2458] cowlThing(X41_150_13), ~cowlNothing(X41_150_13)
% 98.30/21.27
% 98.30/21.27 [2458] CLOSURE : cowlThing(X41_150_13)
% 98.30/21.27
% 98.30/21.27 [2451] CLOSURE : ~=(B40_74_12, B40_74_12)
% 98.30/21.27
% 98.30/21.27 [2417] BETA_NOT_AND : ~(=(B38_37_11, B38_37_11) & xsd_integer(B38_37_11))
% 98.30/21.27 -> [2427] ~=(B38_37_11, B38_37_11)
% 98.30/21.27 -> [2428] ~xsd_integer(B38_37_11)
% 98.30/21.27
% 98.30/21.27 [2427] CLOSURE : ~=(B38_37_11, B38_37_11)
% 98.30/21.27
% 98.30/21.27 [2428] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2446] ((=(B40_75_12, B40_75_12) & xsd_string(B40_75_12)) => xsd_string(B40_75_12))
% 98.30/21.27
% 98.30/21.27 [2446] BETA_IMPLY : ((=(B40_75_12, B40_75_12) & xsd_string(B40_75_12)) => xsd_string(B40_75_12))
% 98.30/21.27 -> [2448] ~(=(B40_75_12, B40_75_12) & xsd_string(B40_75_12))
% 98.30/21.27 -> [2449] xsd_string(B40_75_12)
% 98.30/21.27
% 98.30/21.27 [2449] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2453] (cowlThing(X41_148_13) & ~cowlNothing(X41_148_13))
% 98.30/21.27
% 98.30/21.27 [2453] ALPHA_AND : (cowlThing(X41_148_13) & ~cowlNothing(X41_148_13))
% 98.30/21.27 -> [2454] cowlThing(X41_148_13), ~cowlNothing(X41_148_13)
% 98.30/21.27
% 98.30/21.27 [2454] CLOSURE : cowlThing(X41_148_13)
% 98.30/21.27
% 98.30/21.27 [2448] BETA_NOT_AND : ~(=(B40_75_12, B40_75_12) & xsd_string(B40_75_12))
% 98.30/21.27 -> [2459] ~=(B40_75_12, B40_75_12)
% 98.30/21.27 -> [2460] ~xsd_string(B40_75_12)
% 98.30/21.27
% 98.30/21.27 [2459] CLOSURE : ~=(B40_75_12, B40_75_12)
% 98.30/21.27
% 98.30/21.27 [2460] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2461] (cowlThing(X41_151_13) & ~cowlNothing(X41_151_13))
% 98.30/21.27
% 98.30/21.27 [2461] ALPHA_AND : (cowlThing(X41_151_13) & ~cowlNothing(X41_151_13))
% 98.30/21.27 -> [2462] cowlThing(X41_151_13), ~cowlNothing(X41_151_13)
% 98.30/21.27
% 98.30/21.27 [2462] CLOSURE : cowlThing(X41_151_13)
% 98.30/21.27
% 98.30/21.27 [37] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [65] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [65] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [73] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [74] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [74] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [73] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [2807] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [2808] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2807] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2808] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [2811] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2811] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [2812] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [2813] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2813] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2812] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [3188] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [3189] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3188] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3189] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [3193] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [3193] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3194] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3195] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3194] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3198] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [3199] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3199] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3198] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3195] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [3200] ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [3200] BETA_IMPLY : ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3201] ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3202] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3201] BETA_NOT_AND : ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3203] ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27 -> [3204] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3204] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3203] CLOSURE : ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3202] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [3205] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [3205] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3206] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3207] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3206] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3211] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [3212] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3211] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3212] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3207] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [3213] ((=(B29_43_8, B29_43_8) & rr(C30_43_8, B29_43_8)) => rr(C30_43_8, B29_43_8))
% 98.30/21.27
% 98.30/21.27 [3213] BETA_IMPLY : ((=(B29_43_8, B29_43_8) & rr(C30_43_8, B29_43_8)) => rr(C30_43_8, B29_43_8))
% 98.30/21.27 -> [3214] ~(=(B29_43_8, B29_43_8) & rr(C30_43_8, B29_43_8))
% 98.30/21.27 -> [3215] rr(C30_43_8, B29_43_8)
% 98.30/21.27
% 98.30/21.27 [3214] BETA_NOT_AND : ~(=(B29_43_8, B29_43_8) & rr(C30_43_8, B29_43_8))
% 98.30/21.27 -> [3216] ~=(B29_43_8, B29_43_8)
% 98.30/21.27 -> [3217] ~rr(C30_43_8, B29_43_8)
% 98.30/21.27
% 98.30/21.27 [3216] CLOSURE : ~=(B29_43_8, B29_43_8)
% 98.30/21.27
% 98.30/21.27 [3217] CLOSURE : ~rr(C30_43_8, B29_43_8)
% 98.30/21.27
% 98.30/21.27 [3215] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [3221] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [3221] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [3222] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [3223] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3222] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [3224] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [3225] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3225] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3224] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3223] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [3226] ((=(B35_43_10, B35_43_10) & rs(C36_43_10, B35_43_10)) => rs(C36_43_10, B35_43_10))
% 98.30/21.27
% 98.30/21.27 [3226] BETA_IMPLY : ((=(B35_43_10, B35_43_10) & rs(C36_43_10, B35_43_10)) => rs(C36_43_10, B35_43_10))
% 98.30/21.27 -> [3227] ~(=(B35_43_10, B35_43_10) & rs(C36_43_10, B35_43_10))
% 98.30/21.27 -> [3228] rs(C36_43_10, B35_43_10)
% 98.30/21.27
% 98.30/21.27 [3227] BETA_NOT_AND : ~(=(B35_43_10, B35_43_10) & rs(C36_43_10, B35_43_10))
% 98.30/21.27 -> [3232] ~=(B35_43_10, B35_43_10)
% 98.30/21.27 -> [3233] ~rs(C36_43_10, B35_43_10)
% 98.30/21.27
% 98.30/21.27 [3232] CLOSURE : ~=(B35_43_10, B35_43_10)
% 98.30/21.27
% 98.30/21.27 [3233] CLOSURE : ~rs(C36_43_10, B35_43_10)
% 98.30/21.27
% 98.30/21.27 [3228] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [3234] ((=(B38_43_11, B38_43_11) & xsd_integer(B38_43_11)) => xsd_integer(B38_43_11))
% 98.30/21.27
% 98.30/21.27 [3234] BETA_IMPLY : ((=(B38_43_11, B38_43_11) & xsd_integer(B38_43_11)) => xsd_integer(B38_43_11))
% 98.30/21.27 -> [3235] ~(=(B38_43_11, B38_43_11) & xsd_integer(B38_43_11))
% 98.30/21.27 -> [3236] xsd_integer(B38_43_11)
% 98.30/21.27
% 98.30/21.27 [3235] BETA_NOT_AND : ~(=(B38_43_11, B38_43_11) & xsd_integer(B38_43_11))
% 98.30/21.27 -> [3237] ~=(B38_43_11, B38_43_11)
% 98.30/21.27 -> [3238] ~xsd_integer(B38_43_11)
% 98.30/21.27
% 98.30/21.27 [3237] CLOSURE : ~=(B38_43_11, B38_43_11)
% 98.30/21.27
% 98.30/21.27 [3238] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [3242] ((=(B40_87_12, B40_87_12) & xsd_string(B40_87_12)) => xsd_string(B40_87_12))
% 98.30/21.27
% 98.30/21.27 [3242] BETA_IMPLY : ((=(B40_87_12, B40_87_12) & xsd_string(B40_87_12)) => xsd_string(B40_87_12))
% 98.30/21.27 -> [3243] ~(=(B40_87_12, B40_87_12) & xsd_string(B40_87_12))
% 98.30/21.27 -> [3244] xsd_string(B40_87_12)
% 98.30/21.27
% 98.30/21.27 [3243] BETA_NOT_AND : ~(=(B40_87_12, B40_87_12) & xsd_string(B40_87_12))
% 98.30/21.27 -> [3247] ~=(B40_87_12, B40_87_12)
% 98.30/21.27 -> [3248] ~xsd_string(B40_87_12)
% 98.30/21.27
% 98.30/21.27 [3248] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [3252] (cowlThing(X41_181_13) & ~cowlNothing(X41_181_13))
% 98.30/21.27
% 98.30/21.27 [3252] ALPHA_AND : (cowlThing(X41_181_13) & ~cowlNothing(X41_181_13))
% 98.30/21.27 -> [3254] cowlThing(X41_181_13), ~cowlNothing(X41_181_13)
% 98.30/21.27
% 98.30/21.27 [3254] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.27 -> [3257] (xsd_string(X42_35_14) <=> ~xsd_integer(X42_35_14))
% 98.30/21.27
% 98.30/21.27 [3257] BETA_EQUIV : (xsd_string(X42_35_14) <=> ~xsd_integer(X42_35_14))
% 98.30/21.27 -> [3258] ~xsd_string(X42_35_14), ~~xsd_integer(X42_35_14)
% 98.30/21.27 -> [3259] xsd_string(X42_35_14), ~xsd_integer(X42_35_14)
% 98.30/21.27
% 98.30/21.27 [3259] CLOSURE : xsd_string(X42_35_14)
% 98.30/21.27
% 98.30/21.27 [3269] CLOSURE : xsd_integer(X42_35_14)
% 98.30/21.27
% 98.30/21.27 [3247] CLOSURE : ~=(B40_87_12, B40_87_12)
% 98.30/21.27
% 98.30/21.27 [3244] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [3255] (cowlThing(X41_182_13) & ~cowlNothing(X41_182_13))
% 98.30/21.27
% 98.30/21.27 [3255] ALPHA_AND : (cowlThing(X41_182_13) & ~cowlNothing(X41_182_13))
% 98.30/21.27 -> [3256] cowlThing(X41_182_13), ~cowlNothing(X41_182_13)
% 98.30/21.27
% 98.30/21.27 [3256] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.27 -> [3260] (xsd_string(X42_36_14) <=> ~xsd_integer(X42_36_14))
% 98.30/21.27
% 98.30/21.27 [3260] BETA_EQUIV : (xsd_string(X42_36_14) <=> ~xsd_integer(X42_36_14))
% 98.30/21.27 -> [3261] ~xsd_string(X42_36_14), ~~xsd_integer(X42_36_14)
% 98.30/21.27 -> [3262] xsd_string(X42_36_14), ~xsd_integer(X42_36_14)
% 98.30/21.27
% 98.30/21.27 [3261] ALPHA_NOT_NOT : ~~xsd_integer(X42_36_14)
% 98.30/21.27 -> [3271] xsd_integer(X42_36_14)
% 98.30/21.27
% 98.30/21.27 [3271] CLOSURE : xsd_integer(X42_36_14)
% 98.30/21.27
% 98.30/21.27 [3262] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.30/21.27 -> [3273] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [3273] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3274] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27 -> [3275] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3274] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3275] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.27 -> [3281] ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.27
% 98.30/21.27 [3281] BETA_IMPLY : ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.27 -> [3282] ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.27 -> [3283] =(skolem_Z4545, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3283] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.30/21.27 -> [3302] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [3302] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.27 -> [3303] ~rs(skolem_Z4545, skolem_Y4949)
% 98.30/21.27 -> [3304] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3304] CLOSURE : =
% 98.30/21.27
% 98.30/21.27 [3303] CLOSURE : =
% 98.30/21.27
% 98.30/21.27 [3282] BETA_NOT_AND : ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.27 -> [3350] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27 -> [3351] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3350] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3351] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3236] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [3239] ((=(B40_86_12, B40_86_12) & xsd_string(B40_86_12)) => xsd_string(B40_86_12))
% 98.30/21.27
% 98.30/21.27 [3239] BETA_IMPLY : ((=(B40_86_12, B40_86_12) & xsd_string(B40_86_12)) => xsd_string(B40_86_12))
% 98.30/21.27 -> [3240] ~(=(B40_86_12, B40_86_12) & xsd_string(B40_86_12))
% 98.30/21.27 -> [3241] xsd_string(B40_86_12)
% 98.30/21.27
% 98.30/21.27 [3240] BETA_NOT_AND : ~(=(B40_86_12, B40_86_12) & xsd_string(B40_86_12))
% 98.30/21.27 -> [3245] ~=(B40_86_12, B40_86_12)
% 98.30/21.27 -> [3246] ~xsd_string(B40_86_12)
% 98.30/21.27
% 98.30/21.27 [3245] CLOSURE : ~=(B40_86_12, B40_86_12)
% 98.30/21.27
% 98.30/21.27 [3246] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [3251] (cowlThing(X41_180_13) & ~cowlNothing(X41_180_13))
% 98.30/21.27
% 98.30/21.27 [3251] ALPHA_AND : (cowlThing(X41_180_13) & ~cowlNothing(X41_180_13))
% 98.30/21.27 -> [3253] cowlThing(X41_180_13), ~cowlNothing(X41_180_13)
% 98.30/21.27
% 98.30/21.27 [3253] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.27 -> [3263] (xsd_string(X42_37_14) <=> ~xsd_integer(X42_37_14))
% 98.30/21.27
% 98.30/21.27 [3263] BETA_EQUIV : (xsd_string(X42_37_14) <=> ~xsd_integer(X42_37_14))
% 98.30/21.27 -> [3264] ~xsd_string(X42_37_14), ~~xsd_integer(X42_37_14)
% 98.30/21.27 -> [3265] xsd_string(X42_37_14), ~xsd_integer(X42_37_14)
% 98.30/21.27
% 98.30/21.27 [3265] CLOSURE : ~xsd_integer(X42_37_14)
% 98.30/21.27
% 98.30/21.27 [3264] ALPHA_NOT_NOT : ~~xsd_integer(X42_37_14)
% 98.30/21.27 -> [3270] xsd_integer(X42_37_14)
% 98.30/21.27
% 98.30/21.27 [3270] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.30/21.27 -> [3276] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [3276] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3277] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27 -> [3278] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3277] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3278] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.27 -> [3286] ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.27
% 98.30/21.27 [3286] BETA_IMPLY : ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.27 -> [3287] ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.27 -> [3288] =(skolem_Z4545, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3288] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.30/21.27 -> [3299] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [3299] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.27 -> [3300] ~rs(skolem_Z4545, skolem_Y4949)
% 98.30/21.27 -> [3301] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3301] CLOSURE : =
% 98.30/21.27
% 98.30/21.27 [3300] CLOSURE : =
% 98.30/21.27
% 98.30/21.27 [3287] BETA_NOT_AND : ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.27 -> [3345] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27 -> [3346] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3345] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3346] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3241] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [3249] (cowlThing(X41_179_13) & ~cowlNothing(X41_179_13))
% 98.30/21.27
% 98.30/21.27 [3249] ALPHA_AND : (cowlThing(X41_179_13) & ~cowlNothing(X41_179_13))
% 98.30/21.27 -> [3250] cowlThing(X41_179_13), ~cowlNothing(X41_179_13)
% 98.30/21.27
% 98.30/21.27 [3250] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.27 -> [3266] (xsd_string(X42_38_14) <=> ~xsd_integer(X42_38_14))
% 98.30/21.27
% 98.30/21.27 [3266] BETA_EQUIV : (xsd_string(X42_38_14) <=> ~xsd_integer(X42_38_14))
% 98.30/21.27 -> [3267] ~xsd_string(X42_38_14), ~~xsd_integer(X42_38_14)
% 98.30/21.27 -> [3268] xsd_string(X42_38_14), ~xsd_integer(X42_38_14)
% 98.30/21.27
% 98.30/21.27 [3268] CLOSURE : ~xsd_integer(X42_38_14)
% 98.30/21.27
% 98.30/21.27 [3272] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.30/21.27 -> [3291] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [3291] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3292] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27 -> [3293] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3292] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3293] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.27 -> [3294] ((rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545)) => =(i2003_11_14_17_19_13721, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [3294] BETA_IMPLY : ((rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545)) => =(i2003_11_14_17_19_13721, skolem_Z4545))
% 98.30/21.27 -> [3295] ~(rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3296] =(i2003_11_14_17_19_13721, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3296] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.30/21.27 -> [3307] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [3307] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.27 -> [3308] ~rs(skolem_Z4545, skolem_Y4949)
% 98.30/21.27 -> [3309] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3309] CLOSURE : =
% 98.30/21.27
% 98.30/21.27 [3308] CLOSURE : =
% 98.30/21.27
% 98.30/21.27 [3295] BETA_NOT_AND : ~(rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3352] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [3353] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3353] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3352] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [19] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlNothing(A11_11)) => cowlNothing(B12_12)))
% 98.30/21.27 -> [23] ((=(B12_1_1, B12_1_1) & cowlNothing(B12_1_1)) => cowlNothing(B12_1_1))
% 98.30/21.27
% 98.30/21.27 [23] BETA_IMPLY : ((=(B12_1_1, B12_1_1) & cowlNothing(B12_1_1)) => cowlNothing(B12_1_1))
% 98.30/21.27 -> [27] ~(=(B12_1_1, B12_1_1) & cowlNothing(B12_1_1))
% 98.30/21.27 -> [28] cowlNothing(B12_1_1)
% 98.30/21.27
% 98.30/21.27 [28] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14)))
% 98.30/21.27 -> [39] ((=(B14_2_2, B14_2_2) & cowlThing(B14_2_2)) => cowlThing(B14_2_2))
% 98.30/21.27
% 98.30/21.27 [39] BETA_IMPLY : ((=(B14_2_2, B14_2_2) & cowlThing(B14_2_2)) => cowlThing(B14_2_2))
% 98.30/21.27 -> [44] ~(=(B14_2_2, B14_2_2) & cowlThing(B14_2_2))
% 98.30/21.27 -> [45] cowlThing(B14_2_2)
% 98.30/21.27
% 98.30/21.27 [45] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [61] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [61] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [63] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [64] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [64] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [63] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [1268] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1269] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1268] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1269] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [1281] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1281] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [1282] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1283] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1283] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1282] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1778] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1779] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1778] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1779] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [1790] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [1790] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1792] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1793] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1792] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1803] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [1804] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1804] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1803] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1793] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [1815] ((=(B23_28_6, B23_28_6) & rinvR(C24_28_6, B23_28_6)) => rinvR(C24_28_6, B23_28_6))
% 98.30/21.27
% 98.30/21.27 [1815] BETA_IMPLY : ((=(B23_28_6, B23_28_6) & rinvR(C24_28_6, B23_28_6)) => rinvR(C24_28_6, B23_28_6))
% 98.30/21.27 -> [1816] ~(=(B23_28_6, B23_28_6) & rinvR(C24_28_6, B23_28_6))
% 98.30/21.27 -> [1817] rinvR(C24_28_6, B23_28_6)
% 98.30/21.27
% 98.30/21.27 [1816] BETA_NOT_AND : ~(=(B23_28_6, B23_28_6) & rinvR(C24_28_6, B23_28_6))
% 98.30/21.27 -> [1828] ~=(B23_28_6, B23_28_6)
% 98.30/21.27 -> [1829] ~rinvR(C24_28_6, B23_28_6)
% 98.30/21.27
% 98.30/21.27 [1828] CLOSURE : ~=(B23_28_6, B23_28_6)
% 98.30/21.27
% 98.30/21.27 [1829] CLOSURE : ~rinvR(C24_28_6, B23_28_6)
% 98.30/21.27
% 98.30/21.27 [1817] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [1862] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [1862] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1863] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1864] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1863] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1869] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [1870] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1869] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [1870] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1864] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [1882] ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [1882] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1883] ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1884] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1883] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [1892] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [1893] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1893] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1892] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1884] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [1917] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1917] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [1918] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [1919] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1918] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [1925] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [1926] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1926] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1925] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [1919] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [1942] ((=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1942] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [1943] ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [1944] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1943] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [1949] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1950] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1950] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1949] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1944] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [1953] ((=(B38_28_11, B38_28_11) & xsd_integer(B38_28_11)) => xsd_integer(B38_28_11))
% 98.30/21.27
% 98.30/21.27 [1953] BETA_IMPLY : ((=(B38_28_11, B38_28_11) & xsd_integer(B38_28_11)) => xsd_integer(B38_28_11))
% 98.30/21.27 -> [1957] ~(=(B38_28_11, B38_28_11) & xsd_integer(B38_28_11))
% 98.30/21.27 -> [1958] xsd_integer(B38_28_11)
% 98.30/21.27
% 98.30/21.27 [1957] BETA_NOT_AND : ~(=(B38_28_11, B38_28_11) & xsd_integer(B38_28_11))
% 98.30/21.27 -> [2026] ~=(B38_28_11, B38_28_11)
% 98.30/21.27 -> [2027] ~xsd_integer(B38_28_11)
% 98.30/21.27
% 98.30/21.27 [2026] CLOSURE : ~=(B38_28_11, B38_28_11)
% 98.30/21.27
% 98.30/21.27 [2027] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2035] ((=(B40_58_12, B40_58_12) & xsd_string(B40_58_12)) => xsd_string(B40_58_12))
% 98.30/21.27
% 98.30/21.27 [2035] BETA_IMPLY : ((=(B40_58_12, B40_58_12) & xsd_string(B40_58_12)) => xsd_string(B40_58_12))
% 98.30/21.27 -> [2037] ~(=(B40_58_12, B40_58_12) & xsd_string(B40_58_12))
% 98.30/21.27 -> [2038] xsd_string(B40_58_12)
% 98.30/21.27
% 98.30/21.27 [2038] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2069] (cowlThing(X41_116_13) & ~cowlNothing(X41_116_13))
% 98.30/21.27
% 98.30/21.27 [2069] ALPHA_AND : (cowlThing(X41_116_13) & ~cowlNothing(X41_116_13))
% 98.30/21.27 -> [2070] cowlThing(X41_116_13), ~cowlNothing(X41_116_13)
% 98.30/21.27
% 98.30/21.27 [2070] CLOSURE : ~cowlNothing(X41_116_13)
% 98.30/21.27
% 98.30/21.27 [2037] BETA_NOT_AND : ~(=(B40_58_12, B40_58_12) & xsd_string(B40_58_12))
% 98.30/21.27 -> [2045] ~=(B40_58_12, B40_58_12)
% 98.30/21.27 -> [2046] ~xsd_string(B40_58_12)
% 98.30/21.27
% 98.30/21.27 [2045] CLOSURE : ~=(B40_58_12, B40_58_12)
% 98.30/21.27
% 98.30/21.27 [2046] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2078] (cowlThing(X41_117_13) & ~cowlNothing(X41_117_13))
% 98.30/21.27
% 98.30/21.27 [2078] ALPHA_AND : (cowlThing(X41_117_13) & ~cowlNothing(X41_117_13))
% 98.30/21.27 -> [2079] cowlThing(X41_117_13), ~cowlNothing(X41_117_13)
% 98.30/21.27
% 98.30/21.27 [2079] CLOSURE : ~cowlNothing(X41_117_13)
% 98.30/21.27
% 98.30/21.27 [1958] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2056] ((=(B40_59_12, B40_59_12) & xsd_string(B40_59_12)) => xsd_string(B40_59_12))
% 98.30/21.27
% 98.30/21.27 [2056] BETA_IMPLY : ((=(B40_59_12, B40_59_12) & xsd_string(B40_59_12)) => xsd_string(B40_59_12))
% 98.30/21.27 -> [2057] ~(=(B40_59_12, B40_59_12) & xsd_string(B40_59_12))
% 98.30/21.27 -> [2058] xsd_string(B40_59_12)
% 98.30/21.27
% 98.30/21.27 [2057] BETA_NOT_AND : ~(=(B40_59_12, B40_59_12) & xsd_string(B40_59_12))
% 98.30/21.27 -> [2059] ~=(B40_59_12, B40_59_12)
% 98.30/21.27 -> [2060] ~xsd_string(B40_59_12)
% 98.30/21.27
% 98.30/21.27 [2059] CLOSURE : ~=(B40_59_12, B40_59_12)
% 98.30/21.27
% 98.30/21.27 [2060] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2085] (cowlThing(X41_118_13) & ~cowlNothing(X41_118_13))
% 98.30/21.27
% 98.30/21.27 [2085] ALPHA_AND : (cowlThing(X41_118_13) & ~cowlNothing(X41_118_13))
% 98.30/21.27 -> [2086] cowlThing(X41_118_13), ~cowlNothing(X41_118_13)
% 98.30/21.27
% 98.30/21.27 [2086] CLOSURE : ~cowlNothing(X41_118_13)
% 98.30/21.27
% 98.30/21.27 [2058] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2090] (cowlThing(X41_119_13) & ~cowlNothing(X41_119_13))
% 98.30/21.27
% 98.30/21.27 [2090] ALPHA_AND : (cowlThing(X41_119_13) & ~cowlNothing(X41_119_13))
% 98.30/21.27 -> [2093] cowlThing(X41_119_13), ~cowlNothing(X41_119_13)
% 98.30/21.27
% 98.30/21.27 [2093] CLOSURE : ~cowlNothing(X41_119_13)
% 98.30/21.27
% 98.30/21.27 [44] BETA_NOT_AND : ~(=(B14_2_2, B14_2_2) & cowlThing(B14_2_2))
% 98.30/21.27 -> [51] ~=(B14_2_2, B14_2_2)
% 98.30/21.27 -> [52] ~cowlThing(B14_2_2)
% 98.30/21.27
% 98.30/21.27 [51] CLOSURE : ~=(B14_2_2, B14_2_2)
% 98.30/21.27
% 98.30/21.27 [52] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [108] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [108] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [111] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [112] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [112] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [111] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [1622] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1623] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1622] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1623] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [1629] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1629] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [1630] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1631] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1631] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1630] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1984] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1985] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1984] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1985] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [1990] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [1990] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1991] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1992] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1991] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1993] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [1994] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1993] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [1994] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1992] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [1995] ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [1995] BETA_IMPLY : ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1996] ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1997] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1996] BETA_NOT_AND : ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [1998] ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27 -> [1999] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1999] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1998] CLOSURE : ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [1997] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [2006] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [2006] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2007] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2008] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2007] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2012] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2013] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2013] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2012] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2008] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [2075] ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [2075] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2076] ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2077] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2076] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2087] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [2088] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2088] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2087] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2077] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [2120] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2120] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2121] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2122] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2121] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2126] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2127] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2126] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2127] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2122] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [2145] ((=(B35_31_10, B35_31_10) & rs(C36_31_10, B35_31_10)) => rs(C36_31_10, B35_31_10))
% 98.30/21.27
% 98.30/21.27 [2145] BETA_IMPLY : ((=(B35_31_10, B35_31_10) & rs(C36_31_10, B35_31_10)) => rs(C36_31_10, B35_31_10))
% 98.30/21.27 -> [2146] ~(=(B35_31_10, B35_31_10) & rs(C36_31_10, B35_31_10))
% 98.30/21.27 -> [2147] rs(C36_31_10, B35_31_10)
% 98.30/21.27
% 98.30/21.27 [2147] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [2206] ((=(B38_31_11, B38_31_11) & xsd_integer(B38_31_11)) => xsd_integer(B38_31_11))
% 98.30/21.27
% 98.30/21.27 [2206] BETA_IMPLY : ((=(B38_31_11, B38_31_11) & xsd_integer(B38_31_11)) => xsd_integer(B38_31_11))
% 98.30/21.27 -> [2207] ~(=(B38_31_11, B38_31_11) & xsd_integer(B38_31_11))
% 98.30/21.27 -> [2208] xsd_integer(B38_31_11)
% 98.30/21.27
% 98.30/21.27 [2208] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2235] ((=(B40_62_12, B40_62_12) & xsd_string(B40_62_12)) => xsd_string(B40_62_12))
% 98.30/21.27
% 98.30/21.27 [2235] BETA_IMPLY : ((=(B40_62_12, B40_62_12) & xsd_string(B40_62_12)) => xsd_string(B40_62_12))
% 98.30/21.27 -> [2236] ~(=(B40_62_12, B40_62_12) & xsd_string(B40_62_12))
% 98.30/21.27 -> [2237] xsd_string(B40_62_12)
% 98.30/21.27
% 98.30/21.27 [2237] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2296] (cowlThing(X41_125_13) & ~cowlNothing(X41_125_13))
% 98.30/21.27
% 98.30/21.27 [2296] ALPHA_AND : (cowlThing(X41_125_13) & ~cowlNothing(X41_125_13))
% 98.30/21.27 -> [2297] cowlThing(X41_125_13), ~cowlNothing(X41_125_13)
% 98.30/21.27
% 98.30/21.27 [2297] CLOSURE : cowlThing(X41_125_13)
% 98.30/21.27
% 98.30/21.27 [2236] BETA_NOT_AND : ~(=(B40_62_12, B40_62_12) & xsd_string(B40_62_12))
% 98.30/21.27 -> [2269] ~=(B40_62_12, B40_62_12)
% 98.30/21.27 -> [2270] ~xsd_string(B40_62_12)
% 98.30/21.27
% 98.30/21.27 [2269] CLOSURE : ~=(B40_62_12, B40_62_12)
% 98.30/21.27
% 98.30/21.27 [2270] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2300] (cowlThing(X41_127_13) & ~cowlNothing(X41_127_13))
% 98.30/21.27
% 98.30/21.27 [2300] ALPHA_AND : (cowlThing(X41_127_13) & ~cowlNothing(X41_127_13))
% 98.30/21.27 -> [2301] cowlThing(X41_127_13), ~cowlNothing(X41_127_13)
% 98.30/21.27
% 98.30/21.27 [2301] CLOSURE : cowlThing(X41_127_13)
% 98.30/21.27
% 98.30/21.27 [2207] BETA_NOT_AND : ~(=(B38_31_11, B38_31_11) & xsd_integer(B38_31_11))
% 98.30/21.27 -> [2216] ~=(B38_31_11, B38_31_11)
% 98.30/21.27 -> [2217] ~xsd_integer(B38_31_11)
% 98.30/21.27
% 98.30/21.27 [2216] CLOSURE : ~=(B38_31_11, B38_31_11)
% 98.30/21.27
% 98.30/21.27 [2217] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2246] ((=(B40_63_12, B40_63_12) & xsd_string(B40_63_12)) => xsd_string(B40_63_12))
% 98.30/21.27
% 98.30/21.27 [2246] BETA_IMPLY : ((=(B40_63_12, B40_63_12) & xsd_string(B40_63_12)) => xsd_string(B40_63_12))
% 98.30/21.27 -> [2259] ~(=(B40_63_12, B40_63_12) & xsd_string(B40_63_12))
% 98.30/21.27 -> [2260] xsd_string(B40_63_12)
% 98.30/21.27
% 98.30/21.27 [2259] BETA_NOT_AND : ~(=(B40_63_12, B40_63_12) & xsd_string(B40_63_12))
% 98.30/21.27 -> [2267] ~=(B40_63_12, B40_63_12)
% 98.30/21.27 -> [2268] ~xsd_string(B40_63_12)
% 98.30/21.27
% 98.30/21.27 [2267] CLOSURE : ~=(B40_63_12, B40_63_12)
% 98.30/21.27
% 98.30/21.27 [2268] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2280] (cowlThing(X41_124_13) & ~cowlNothing(X41_124_13))
% 98.30/21.27
% 98.30/21.27 [2280] ALPHA_AND : (cowlThing(X41_124_13) & ~cowlNothing(X41_124_13))
% 98.30/21.27 -> [2281] cowlThing(X41_124_13), ~cowlNothing(X41_124_13)
% 98.30/21.27
% 98.30/21.27 [2281] CLOSURE : cowlThing(X41_124_13)
% 98.30/21.27
% 98.30/21.27 [2260] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2315] (cowlThing(X41_132_13) & ~cowlNothing(X41_132_13))
% 98.30/21.27
% 98.30/21.27 [2315] ALPHA_AND : (cowlThing(X41_132_13) & ~cowlNothing(X41_132_13))
% 98.30/21.27 -> [2316] cowlThing(X41_132_13), ~cowlNothing(X41_132_13)
% 98.30/21.27
% 98.30/21.27 [2316] CLOSURE : cowlThing(X41_132_13)
% 98.30/21.27
% 98.30/21.27 [2146] BETA_NOT_AND : ~(=(B35_31_10, B35_31_10) & rs(C36_31_10, B35_31_10))
% 98.30/21.27 -> [2155] ~=(B35_31_10, B35_31_10)
% 98.30/21.27 -> [2156] ~rs(C36_31_10, B35_31_10)
% 98.30/21.27
% 98.30/21.27 [2156] CLOSURE : ~rs(C36_31_10, B35_31_10)
% 98.30/21.27
% 98.30/21.27 [2155] CLOSURE : ~=(B35_31_10, B35_31_10)
% 98.30/21.27
% 98.30/21.27 [27] BETA_NOT_AND : ~(=(B12_1_1, B12_1_1) & cowlNothing(B12_1_1))
% 98.30/21.27 -> [32] ~=(B12_1_1, B12_1_1)
% 98.30/21.27 -> [33] ~cowlNothing(B12_1_1)
% 98.30/21.27
% 98.30/21.27 [32] CLOSURE : ~=(B12_1_1, B12_1_1)
% 98.30/21.27
% 98.30/21.27 [33] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14)))
% 98.30/21.27 -> [46] ((=(B14_3_2, B14_3_2) & cowlThing(B14_3_2)) => cowlThing(B14_3_2))
% 98.30/21.27
% 98.30/21.27 [46] BETA_IMPLY : ((=(B14_3_2, B14_3_2) & cowlThing(B14_3_2)) => cowlThing(B14_3_2))
% 98.30/21.27 -> [49] ~(=(B14_3_2, B14_3_2) & cowlThing(B14_3_2))
% 98.30/21.27 -> [50] cowlThing(B14_3_2)
% 98.30/21.27
% 98.30/21.27 [49] BETA_NOT_AND : ~(=(B14_3_2, B14_3_2) & cowlThing(B14_3_2))
% 98.30/21.27 -> [56] ~=(B14_3_2, B14_3_2)
% 98.30/21.27 -> [57] ~cowlThing(B14_3_2)
% 98.30/21.27
% 98.30/21.27 [56] CLOSURE : ~=(B14_3_2, B14_3_2)
% 98.30/21.27
% 98.30/21.27 [57] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [78] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [78] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [79] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [80] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [80] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [79] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [1603] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [1604] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1603] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1604] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [1624] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [1624] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [1625] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [1626] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1626] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [1625] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [2064] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [2065] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2064] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2065] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [2080] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [2080] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2081] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2082] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2081] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [2111] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [2112] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2112] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [2111] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2082] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [2131] ((=(B23_34_6, B23_34_6) & rinvR(C24_34_6, B23_34_6)) => rinvR(C24_34_6, B23_34_6))
% 98.30/21.27
% 98.30/21.27 [2131] BETA_IMPLY : ((=(B23_34_6, B23_34_6) & rinvR(C24_34_6, B23_34_6)) => rinvR(C24_34_6, B23_34_6))
% 98.30/21.27 -> [2132] ~(=(B23_34_6, B23_34_6) & rinvR(C24_34_6, B23_34_6))
% 98.30/21.27 -> [2133] rinvR(C24_34_6, B23_34_6)
% 98.30/21.27
% 98.30/21.27 [2132] BETA_NOT_AND : ~(=(B23_34_6, B23_34_6) & rinvR(C24_34_6, B23_34_6))
% 98.30/21.27 -> [2139] ~=(B23_34_6, B23_34_6)
% 98.30/21.27 -> [2140] ~rinvR(C24_34_6, B23_34_6)
% 98.30/21.27
% 98.30/21.27 [2140] CLOSURE : ~rinvR(C24_34_6, B23_34_6)
% 98.30/21.27
% 98.30/21.27 [2139] CLOSURE : ~=(B23_34_6, B23_34_6)
% 98.30/21.27
% 98.30/21.27 [2133] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [2149] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [2149] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2152] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2153] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2152] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [2161] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2162] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2162] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [2161] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2153] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [2175] ((=(B29_34_8, B29_34_8) & rr(C30_34_8, B29_34_8)) => rr(C30_34_8, B29_34_8))
% 98.30/21.27
% 98.30/21.27 [2175] BETA_IMPLY : ((=(B29_34_8, B29_34_8) & rr(C30_34_8, B29_34_8)) => rr(C30_34_8, B29_34_8))
% 98.30/21.27 -> [2190] ~(=(B29_34_8, B29_34_8) & rr(C30_34_8, B29_34_8))
% 98.30/21.27 -> [2191] rr(C30_34_8, B29_34_8)
% 98.30/21.27
% 98.30/21.27 [2190] BETA_NOT_AND : ~(=(B29_34_8, B29_34_8) & rr(C30_34_8, B29_34_8))
% 98.30/21.27 -> [2196] ~=(B29_34_8, B29_34_8)
% 98.30/21.27 -> [2197] ~rr(C30_34_8, B29_34_8)
% 98.30/21.27
% 98.30/21.27 [2197] CLOSURE : ~rr(C30_34_8, B29_34_8)
% 98.30/21.27
% 98.30/21.27 [2196] CLOSURE : ~=(B29_34_8, B29_34_8)
% 98.30/21.27
% 98.30/21.27 [2191] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [2225] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2225] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2226] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2227] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2226] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2230] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [2231] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2231] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2230] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [2227] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [2255] ((=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2255] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2256] ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2257] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2256] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [2273] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [2274] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2274] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2273] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2257] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [2330] ((=(B38_34_11, B38_34_11) & xsd_integer(B38_34_11)) => xsd_integer(B38_34_11))
% 98.30/21.27
% 98.30/21.27 [2330] BETA_IMPLY : ((=(B38_34_11, B38_34_11) & xsd_integer(B38_34_11)) => xsd_integer(B38_34_11))
% 98.30/21.27 -> [2331] ~(=(B38_34_11, B38_34_11) & xsd_integer(B38_34_11))
% 98.30/21.27 -> [2332] xsd_integer(B38_34_11)
% 98.30/21.27
% 98.30/21.27 [2332] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2350] ((=(B40_68_12, B40_68_12) & xsd_string(B40_68_12)) => xsd_string(B40_68_12))
% 98.30/21.27
% 98.30/21.27 [2350] BETA_IMPLY : ((=(B40_68_12, B40_68_12) & xsd_string(B40_68_12)) => xsd_string(B40_68_12))
% 98.30/21.27 -> [2352] ~(=(B40_68_12, B40_68_12) & xsd_string(B40_68_12))
% 98.30/21.27 -> [2353] xsd_string(B40_68_12)
% 98.30/21.27
% 98.30/21.27 [2353] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2388] (cowlThing(X41_136_13) & ~cowlNothing(X41_136_13))
% 98.30/21.27
% 98.30/21.27 [2388] ALPHA_AND : (cowlThing(X41_136_13) & ~cowlNothing(X41_136_13))
% 98.30/21.27 -> [2389] cowlThing(X41_136_13), ~cowlNothing(X41_136_13)
% 98.30/21.27
% 98.30/21.27 [2389] CLOSURE : cowlThing(X41_136_13)
% 98.30/21.27
% 98.30/21.27 [2352] BETA_NOT_AND : ~(=(B40_68_12, B40_68_12) & xsd_string(B40_68_12))
% 98.30/21.27 -> [2373] ~=(B40_68_12, B40_68_12)
% 98.30/21.27 -> [2374] ~xsd_string(B40_68_12)
% 98.30/21.27
% 98.30/21.27 [2373] CLOSURE : ~=(B40_68_12, B40_68_12)
% 98.30/21.27
% 98.30/21.27 [2374] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2404] (cowlThing(X41_137_13) & ~cowlNothing(X41_137_13))
% 98.30/21.27
% 98.30/21.27 [2404] ALPHA_AND : (cowlThing(X41_137_13) & ~cowlNothing(X41_137_13))
% 98.30/21.27 -> [2406] cowlThing(X41_137_13), ~cowlNothing(X41_137_13)
% 98.30/21.27
% 98.30/21.27 [2406] CLOSURE : cowlThing(X41_137_13)
% 98.30/21.27
% 98.30/21.27 [2331] BETA_NOT_AND : ~(=(B38_34_11, B38_34_11) & xsd_integer(B38_34_11))
% 98.30/21.27 -> [2336] ~=(B38_34_11, B38_34_11)
% 98.30/21.27 -> [2337] ~xsd_integer(B38_34_11)
% 98.30/21.27
% 98.30/21.27 [2336] CLOSURE : ~=(B38_34_11, B38_34_11)
% 98.30/21.27
% 98.30/21.27 [2337] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [2359] ((=(B40_69_12, B40_69_12) & xsd_string(B40_69_12)) => xsd_string(B40_69_12))
% 98.30/21.27
% 98.30/21.27 [2359] BETA_IMPLY : ((=(B40_69_12, B40_69_12) & xsd_string(B40_69_12)) => xsd_string(B40_69_12))
% 98.30/21.27 -> [2360] ~(=(B40_69_12, B40_69_12) & xsd_string(B40_69_12))
% 98.30/21.27 -> [2361] xsd_string(B40_69_12)
% 98.30/21.27
% 98.30/21.27 [2361] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2420] (cowlThing(X41_142_13) & ~cowlNothing(X41_142_13))
% 98.30/21.27
% 98.30/21.27 [2420] ALPHA_AND : (cowlThing(X41_142_13) & ~cowlNothing(X41_142_13))
% 98.30/21.27 -> [2422] cowlThing(X41_142_13), ~cowlNothing(X41_142_13)
% 98.30/21.27
% 98.30/21.27 [2422] CLOSURE : cowlThing(X41_142_13)
% 98.30/21.27
% 98.30/21.27 [2360] BETA_NOT_AND : ~(=(B40_69_12, B40_69_12) & xsd_string(B40_69_12))
% 98.30/21.27 -> [2379] ~=(B40_69_12, B40_69_12)
% 98.30/21.27 -> [2380] ~xsd_string(B40_69_12)
% 98.30/21.27
% 98.30/21.27 [2379] CLOSURE : ~=(B40_69_12, B40_69_12)
% 98.30/21.27
% 98.30/21.27 [2380] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.27 -> [2425] (cowlThing(X41_143_13) & ~cowlNothing(X41_143_13))
% 98.30/21.27
% 98.30/21.27 [2425] ALPHA_AND : (cowlThing(X41_143_13) & ~cowlNothing(X41_143_13))
% 98.30/21.27 -> [2426] cowlThing(X41_143_13), ~cowlNothing(X41_143_13)
% 98.30/21.27
% 98.30/21.27 [2426] CLOSURE : cowlThing(X41_143_13)
% 98.30/21.27
% 98.30/21.27 [50] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.27 -> [82] ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [82] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949)) => cp(skolem_Y4949))
% 98.30/21.27 -> [89] ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [90] cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [90] CLOSURE : cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [89] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cp(skolem_Y4949))
% 98.30/21.27 -> [2942] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [2943] ~cp(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2942] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2943] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.27 -> [2944] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [2944] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.27 -> [2945] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [2946] cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2946] CLOSURE : cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [2945] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.27 -> [3620] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27 -> [3621] ~cq(skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3620] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3621] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.27 -> [3622] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [3622] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3623] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3624] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3623] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3625] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27 -> [3626] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3626] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3625] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3624] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.27 -> [3627] ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27
% 98.30/21.27 [3627] BETA_IMPLY : ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3628] ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3629] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3628] BETA_NOT_AND : ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.27 -> [3630] ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27 -> [3631] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3631] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3630] CLOSURE : ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.27
% 98.30/21.27 [3629] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.27 -> [3632] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27
% 98.30/21.27 [3632] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3633] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3634] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3633] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.27 -> [3635] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [3636] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3635] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3636] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.27
% 98.30/21.27 [3634] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.27 -> [3637] ((=(B29_44_8, B29_44_8) & rr(C30_44_8, B29_44_8)) => rr(C30_44_8, B29_44_8))
% 98.30/21.27
% 98.30/21.27 [3637] BETA_IMPLY : ((=(B29_44_8, B29_44_8) & rr(C30_44_8, B29_44_8)) => rr(C30_44_8, B29_44_8))
% 98.30/21.27 -> [3638] ~(=(B29_44_8, B29_44_8) & rr(C30_44_8, B29_44_8))
% 98.30/21.27 -> [3639] rr(C30_44_8, B29_44_8)
% 98.30/21.27
% 98.30/21.27 [3638] BETA_NOT_AND : ~(=(B29_44_8, B29_44_8) & rr(C30_44_8, B29_44_8))
% 98.30/21.27 -> [3640] ~=(B29_44_8, B29_44_8)
% 98.30/21.27 -> [3641] ~rr(C30_44_8, B29_44_8)
% 98.30/21.27
% 98.30/21.27 [3640] CLOSURE : ~=(B29_44_8, B29_44_8)
% 98.30/21.27
% 98.30/21.27 [3641] CLOSURE : ~rr(C30_44_8, B29_44_8)
% 98.30/21.27
% 98.30/21.27 [3639] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.27 -> [3642] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27
% 98.30/21.27 [3642] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [3643] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [3644] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3643] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.27 -> [3645] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27 -> [3646] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3645] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.27
% 98.30/21.27 [3646] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.27
% 98.30/21.27 [3644] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.27 -> [3647] ((=(B35_44_10, B35_44_10) & rs(C36_44_10, B35_44_10)) => rs(C36_44_10, B35_44_10))
% 98.30/21.27
% 98.30/21.27 [3647] BETA_IMPLY : ((=(B35_44_10, B35_44_10) & rs(C36_44_10, B35_44_10)) => rs(C36_44_10, B35_44_10))
% 98.30/21.27 -> [3648] ~(=(B35_44_10, B35_44_10) & rs(C36_44_10, B35_44_10))
% 98.30/21.27 -> [3649] rs(C36_44_10, B35_44_10)
% 98.30/21.27
% 98.30/21.27 [3648] BETA_NOT_AND : ~(=(B35_44_10, B35_44_10) & rs(C36_44_10, B35_44_10))
% 98.30/21.27 -> [3650] ~=(B35_44_10, B35_44_10)
% 98.30/21.27 -> [3651] ~rs(C36_44_10, B35_44_10)
% 98.30/21.27
% 98.30/21.27 [3650] CLOSURE : ~=(B35_44_10, B35_44_10)
% 98.30/21.27
% 98.30/21.27 [3651] CLOSURE : ~rs(C36_44_10, B35_44_10)
% 98.30/21.27
% 98.30/21.27 [3649] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.27 -> [3652] ((=(B38_44_11, B38_44_11) & xsd_integer(B38_44_11)) => xsd_integer(B38_44_11))
% 98.30/21.27
% 98.30/21.27 [3652] BETA_IMPLY : ((=(B38_44_11, B38_44_11) & xsd_integer(B38_44_11)) => xsd_integer(B38_44_11))
% 98.30/21.27 -> [3653] ~(=(B38_44_11, B38_44_11) & xsd_integer(B38_44_11))
% 98.30/21.27 -> [3654] xsd_integer(B38_44_11)
% 98.30/21.27
% 98.30/21.27 [3653] BETA_NOT_AND : ~(=(B38_44_11, B38_44_11) & xsd_integer(B38_44_11))
% 98.30/21.27 -> [3655] ~=(B38_44_11, B38_44_11)
% 98.30/21.27 -> [3656] ~xsd_integer(B38_44_11)
% 98.30/21.27
% 98.30/21.27 [3655] CLOSURE : ~=(B38_44_11, B38_44_11)
% 98.30/21.27
% 98.30/21.27 [3656] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.27 -> [3658] ((=(B38_44_11, B38_44_11) & xsd_string(B38_44_11)) => xsd_string(B38_44_11))
% 98.30/21.27
% 98.30/21.27 [3658] BETA_IMPLY : ((=(B38_44_11, B38_44_11) & xsd_string(B38_44_11)) => xsd_string(B38_44_11))
% 98.30/21.27 -> [3661] ~(=(B38_44_11, B38_44_11) & xsd_string(B38_44_11))
% 98.30/21.27 -> [3662] xsd_string(B38_44_11)
% 98.30/21.27
% 98.30/21.27 [3661] BETA_NOT_AND : ~(=(B38_44_11, B38_44_11) & xsd_string(B38_44_11))
% 98.30/21.27 -> [3665] ~=(B38_44_11, B38_44_11)
% 98.30/21.27 -> [3666] ~xsd_string(B38_44_11)
% 98.30/21.27
% 98.30/21.27 [3665] CLOSURE : ~=(B38_44_11, B38_44_11)
% 98.30/21.27
% 98.30/21.27 [3678] BETA_EQUIV : (xsd_string(X42_52_14) <=> ~xsd_integer(X42_52_14))
% 98.30/21.27 -> [3712] ~xsd_string(X42_52_14), ~~xsd_integer(X42_52_14)
% 98.30/21.27 -> [3713] xsd_string(X42_52_14), ~xsd_integer(X42_52_14)
% 98.30/21.27
% 98.30/21.27 [3713] CLOSURE : xsd_string(X42_52_14)
% 98.30/21.27
% 98.30/21.27 [3716] CLOSURE : xsd_integer(X42_52_14)
% 98.30/21.27
% 98.30/21.27 [3662] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [3671] (cowlThing(X41_198_13) & ~cowlNothing(X41_198_13))
% 98.30/21.28
% 98.30/21.28 [3671] ALPHA_AND : (cowlThing(X41_198_13) & ~cowlNothing(X41_198_13))
% 98.30/21.28 -> [3674] cowlThing(X41_198_13), ~cowlNothing(X41_198_13)
% 98.30/21.28
% 98.30/21.28 [3674] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.28 -> [3681] (xsd_string(X42_53_14) <=> ~xsd_integer(X42_53_14))
% 98.30/21.28
% 98.30/21.28 [3681] BETA_EQUIV : (xsd_string(X42_53_14) <=> ~xsd_integer(X42_53_14))
% 98.30/21.28 -> [3682] ~xsd_string(X42_53_14), ~~xsd_integer(X42_53_14)
% 98.30/21.28 -> [3683] xsd_string(X42_53_14), ~xsd_integer(X42_53_14)
% 98.30/21.28
% 98.30/21.28 [3682] ALPHA_NOT_NOT : ~~xsd_integer(X42_53_14)
% 98.30/21.28 -> [3687] xsd_integer(X42_53_14)
% 98.30/21.28
% 98.30/21.28 [3687] CLOSURE : xsd_integer(X42_53_14)
% 98.30/21.28
% 98.30/21.28 [3683] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.30/21.28 -> [3691] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28
% 98.30/21.28 [3691] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [3692] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28 -> [3693] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [3692] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [3693] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.28 -> [3697] ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.28
% 98.30/21.28 [3697] BETA_IMPLY : ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.28 -> [3698] ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.28 -> [3699] =(skolem_Z4545, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [3699] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.30/21.28 -> [3711] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.28
% 98.30/21.28 [3711] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.28 -> [3714] ~rs(skolem_Z4545, skolem_Y4949)
% 98.30/21.28 -> [3715] cp(skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [3715] CLOSURE : =
% 98.30/21.28
% 98.30/21.28 [3714] CLOSURE : =
% 98.30/21.28
% 98.30/21.28 [3698] BETA_NOT_AND : ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.28 -> [3738] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28 -> [3739] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [3738] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [3739] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [3657] BETA_IMPLY : ((=(B40_93_12, B40_93_12) & xsd_string(B40_93_12)) => xsd_string(B40_93_12))
% 98.30/21.28 -> [3988] ~(=(B40_93_12, B40_93_12) & xsd_string(B40_93_12))
% 98.30/21.28 -> [3989] xsd_string(B40_93_12)
% 98.30/21.28
% 98.30/21.28 [3988] BETA_NOT_AND : ~(=(B40_93_12, B40_93_12) & xsd_string(B40_93_12))
% 98.30/21.28 -> [3994] ~=(B40_93_12, B40_93_12)
% 98.30/21.28 -> [3995] ~xsd_string(B40_93_12)
% 98.30/21.28
% 98.30/21.28 [3994] CLOSURE : ~=(B40_93_12, B40_93_12)
% 98.30/21.28
% 98.30/21.28 [3995] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [4007] (cowlThing(X41_209_13) & ~cowlNothing(X41_209_13))
% 98.30/21.28
% 98.30/21.28 [4007] ALPHA_AND : (cowlThing(X41_209_13) & ~cowlNothing(X41_209_13))
% 98.30/21.28 -> [4008] cowlThing(X41_209_13), ~cowlNothing(X41_209_13)
% 98.30/21.28
% 98.30/21.28 [4008] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.28 -> [4020] (xsd_string(X42_65_14) <=> ~xsd_integer(X42_65_14))
% 98.30/21.28
% 98.30/21.28 [4020] BETA_EQUIV : (xsd_string(X42_65_14) <=> ~xsd_integer(X42_65_14))
% 98.30/21.28 -> [4025] ~xsd_string(X42_65_14), ~~xsd_integer(X42_65_14)
% 98.30/21.28 -> [4026] xsd_string(X42_65_14), ~xsd_integer(X42_65_14)
% 98.30/21.28
% 98.30/21.28 [4026] CLOSURE : ~xsd_integer(X42_65_14)
% 98.30/21.28
% 98.30/21.28 [4025] ALPHA_NOT_NOT : ~~xsd_integer(X42_65_14)
% 98.30/21.28 -> [4035] xsd_integer(X42_65_14)
% 98.30/21.28
% 98.30/21.28 [4035] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.30/21.28 -> [4039] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28
% 98.30/21.28 [4039] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4040] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28 -> [4041] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4040] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4041] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.28 -> [4045] ((rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545)) => =(i2003_11_14_17_19_13721, skolem_Z4545))
% 98.30/21.28
% 98.30/21.28 [4045] BETA_IMPLY : ((rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545)) => =(i2003_11_14_17_19_13721, skolem_Z4545))
% 98.30/21.28 -> [4046] ~(rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [4047] =(i2003_11_14_17_19_13721, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [4047] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.30/21.28 -> [4061] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.28
% 98.30/21.28 [4061] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.28 -> [4062] ~rs(skolem_Z4545, skolem_Y4949)
% 98.30/21.28 -> [4063] cp(skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4063] CLOSURE : =
% 98.30/21.28
% 98.30/21.28 [4062] CLOSURE : =
% 98.30/21.28
% 98.30/21.28 [4046] BETA_NOT_AND : ~(rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [4068] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.28 -> [4069] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [4069] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [4068] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [4019] BETA_EQUIV : (xsd_string(X42_64_14) <=> ~xsd_integer(X42_64_14))
% 98.30/21.28 -> [4072] ~xsd_string(X42_64_14), ~~xsd_integer(X42_64_14)
% 98.30/21.28 -> [4073] xsd_string(X42_64_14), ~xsd_integer(X42_64_14)
% 98.30/21.28
% 98.30/21.28 [4073] CLOSURE : ~xsd_integer(X42_64_14)
% 98.30/21.28
% 98.30/21.28 [4074] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.30/21.28 -> [4079] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28
% 98.30/21.28 [4079] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4080] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28 -> [4081] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4080] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4081] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.28 -> [4082] ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.28
% 98.30/21.28 [4082] BETA_IMPLY : ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.30/21.28 -> [4083] ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.28 -> [4084] =(skolem_Z4545, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [4084] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.30/21.28 -> [4090] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.28
% 98.30/21.28 [4090] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.30/21.28 -> [4091] ~rs(skolem_Z4545, skolem_Y4949)
% 98.30/21.28 -> [4092] cp(skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4092] CLOSURE : =
% 98.30/21.28
% 98.30/21.28 [4091] CLOSURE : =
% 98.30/21.28
% 98.30/21.28 [4083] BETA_NOT_AND : ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.30/21.28 -> [4100] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28 -> [4101] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [4100] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [4101] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [14] Rewrite : cUnsatisfiable(B10_0_0)
% 98.30/21.28 -> [18] (? [Y44_44] : (((rr(B10_0_0, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))) & ? [Y49_49] : (((rs(B10_0_0, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49))))
% 98.30/21.28
% 98.30/21.28 [18] ALPHA_AND : (? [Y44_44] : (((rr(B10_0_0, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))) & ? [Y49_49] : (((rs(B10_0_0, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49))))
% 98.30/21.28 -> [21] ? [Y44_44] : (((rr(B10_0_0, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48))))), ? [Y49_49] : (((rs(B10_0_0, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49)))
% 98.30/21.28
% 98.30/21.28 [21] DELTA_EXISTS : ? [Y44_44] : (((rr(B10_0_0, Y44_44) & ? [Z45_45] : ((rinvR(Y44_44, Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(Y44_44, Z047_47) & rinvR(Y44_44, Z148_48)) => =(Z047_47, Z148_48)))))
% 98.30/21.28 -> [24] ((rr(B10_0_0, skolem_Y4444(B10_0_0)) & ? [Z45_45] : ((rinvR(skolem_Y4444(B10_0_0), Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444(B10_0_0), Z047_47) & rinvR(skolem_Y4444(B10_0_0), Z148_48)) => =(Z047_47, Z148_48))))
% 98.30/21.28
% 98.30/21.28 [24] ALPHA_AND : ((rr(B10_0_0, skolem_Y4444(B10_0_0)) & ? [Z45_45] : ((rinvR(skolem_Y4444(B10_0_0), Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))) & ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444(B10_0_0), Z047_47) & rinvR(skolem_Y4444(B10_0_0), Z148_48)) => =(Z047_47, Z148_48))))
% 98.30/21.28 -> [31] (rr(B10_0_0, skolem_Y4444(B10_0_0)) & ? [Z45_45] : ((rinvR(skolem_Y4444(B10_0_0), Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))), ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444(B10_0_0), Z047_47) & rinvR(skolem_Y4444(B10_0_0), Z148_48)) => =(Z047_47, Z148_48)))
% 98.30/21.28
% 98.30/21.28 [31] ALPHA_AND : (rr(B10_0_0, skolem_Y4444(B10_0_0)) & ? [Z45_45] : ((rinvR(skolem_Y4444(B10_0_0), Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46))))))
% 98.30/21.28 -> [34] rr(B10_0_0, skolem_Y4444(B10_0_0)), ? [Z45_45] : ((rinvR(skolem_Y4444(B10_0_0), Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))
% 98.30/21.28
% 98.30/21.28 [34] DELTA_EXISTS : ? [Y49_49] : (((rs(B10_0_0, Y49_49) & ~cq(Y49_49)) & ~cp(Y49_49)))
% 98.30/21.28 -> [62] ((rs(B10_0_0, skolem_Y4949(B10_0_0)) & ~cq(skolem_Y4949(B10_0_0))) & ~cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [62] ALPHA_AND : ((rs(B10_0_0, skolem_Y4949(B10_0_0)) & ~cq(skolem_Y4949(B10_0_0))) & ~cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [68] (rs(B10_0_0, skolem_Y4949(B10_0_0)) & ~cq(skolem_Y4949(B10_0_0))), ~cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [68] ALPHA_AND : (rs(B10_0_0, skolem_Y4949(B10_0_0)) & ~cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [98] rs(B10_0_0, skolem_Y4949(B10_0_0)), ~cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [98] DELTA_EXISTS : ? [Z45_45] : ((rinvR(skolem_Y4444(B10_0_0), Z45_45) & ! [W46_46] : ((rs(Z45_45, W46_46) => cp(W46_46)))))
% 98.30/21.28 -> [143] (rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)) & ! [W46_46] : ((rs(skolem_Z4545(B10_0_0), W46_46) => cp(W46_46))))
% 98.30/21.28
% 98.30/21.28 [143] ALPHA_AND : (rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)) & ! [W46_46] : ((rs(skolem_Z4545(B10_0_0), W46_46) => cp(W46_46))))
% 98.30/21.28 -> [145] rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)), ! [W46_46] : ((rs(skolem_Z4545(B10_0_0), W46_46) => cp(W46_46)))
% 98.30/21.28
% 98.30/21.28 [145] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlNothing(A11_11)) => cowlNothing(B12_12)))
% 98.30/21.28 -> [229] ((=(B12_2_1, B12_2_1) & cowlNothing(B12_2_1)) => cowlNothing(B12_2_1))
% 98.30/21.28
% 98.30/21.28 [229] BETA_IMPLY : ((=(B12_2_1, B12_2_1) & cowlNothing(B12_2_1)) => cowlNothing(B12_2_1))
% 98.30/21.28 -> [230] ~(=(B12_2_1, B12_2_1) & cowlNothing(B12_2_1))
% 98.30/21.28 -> [231] cowlNothing(B12_2_1)
% 98.30/21.28
% 98.30/21.28 [231] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14)))
% 98.30/21.28 -> [379] ((=(B14_5_2, B14_5_2) & cowlThing(B14_5_2)) => cowlThing(B14_5_2))
% 98.30/21.28
% 98.30/21.28 [379] BETA_IMPLY : ((=(B14_5_2, B14_5_2) & cowlThing(B14_5_2)) => cowlThing(B14_5_2))
% 98.30/21.28 -> [409] ~(=(B14_5_2, B14_5_2) & cowlThing(B14_5_2))
% 98.30/21.28 -> [410] cowlThing(B14_5_2)
% 98.30/21.28
% 98.30/21.28 [409] BETA_NOT_AND : ~(=(B14_5_2, B14_5_2) & cowlThing(B14_5_2))
% 98.30/21.28 -> [416] ~=(B14_5_2, B14_5_2)
% 98.30/21.28 -> [417] ~cowlThing(B14_5_2)
% 98.30/21.28
% 98.30/21.28 [416] CLOSURE : ~=(B14_5_2, B14_5_2)
% 98.30/21.28
% 98.30/21.28 [417] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.28 -> [528] ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [528] BETA_IMPLY : ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [529] ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [530] cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [530] CLOSURE : cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [529] BETA_NOT_AND : ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [1627] ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28 -> [1628] ~cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1627] CLOSURE : ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1628] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.28 -> [1635] ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0))) => cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [1635] BETA_IMPLY : ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0))) => cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [1640] ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [1641] cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1641] CLOSURE : cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1640] BETA_NOT_AND : ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [2083] ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28 -> [2084] ~cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2083] CLOSURE : ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2084] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.28 -> [2096] ((=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))) => rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [2096] BETA_IMPLY : ((=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))) => rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [2097] ~(=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [2098] rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2097] BETA_NOT_AND : ~(=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [2116] ~=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0))
% 98.30/21.28 -> [2117] ~rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2117] CLOSURE : ~rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2116] CLOSURE : ~=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2098] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.28 -> [2179] ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28
% 98.30/21.28 [2179] BETA_IMPLY : ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2180] ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2181] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2180] BETA_NOT_AND : ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2186] ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.28 -> [2187] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2187] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2186] CLOSURE : ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2181] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.28 -> [2203] ((=(B26_35_7, B26_35_7) & rr(B26_35_7, skolem_Y4444(B26_35_7))) => rr(B26_35_7, skolem_Y4444(B26_35_7)))
% 98.30/21.28
% 98.30/21.28 [2203] BETA_IMPLY : ((=(B26_35_7, B26_35_7) & rr(B26_35_7, skolem_Y4444(B26_35_7))) => rr(B26_35_7, skolem_Y4444(B26_35_7)))
% 98.30/21.28 -> [2204] ~(=(B26_35_7, B26_35_7) & rr(B26_35_7, skolem_Y4444(B26_35_7)))
% 98.30/21.28 -> [2205] rr(B26_35_7, skolem_Y4444(B26_35_7))
% 98.30/21.28
% 98.30/21.28 [2204] BETA_NOT_AND : ~(=(B26_35_7, B26_35_7) & rr(B26_35_7, skolem_Y4444(B26_35_7)))
% 98.30/21.28 -> [2221] ~=(B26_35_7, B26_35_7)
% 98.30/21.28 -> [2222] ~rr(B26_35_7, skolem_Y4444(B26_35_7))
% 98.30/21.28
% 98.30/21.28 [2222] CLOSURE : ~rr(B26_35_7, skolem_Y4444(B26_35_7))
% 98.30/21.28
% 98.30/21.28 [2221] CLOSURE : ~=(B26_35_7, B26_35_7)
% 98.30/21.28
% 98.30/21.28 [2205] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.28 -> [2252] ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28
% 98.30/21.28 [2252] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [2253] ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [2254] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2253] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [2265] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28 -> [2266] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2266] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2265] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2254] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.28 -> [2317] ((=(B32_36_9, B32_36_9) & rs(B32_36_9, skolem_Y4949(B32_36_9))) => rs(B32_36_9, skolem_Y4949(B32_36_9)))
% 98.30/21.28
% 98.30/21.28 [2317] BETA_IMPLY : ((=(B32_36_9, B32_36_9) & rs(B32_36_9, skolem_Y4949(B32_36_9))) => rs(B32_36_9, skolem_Y4949(B32_36_9)))
% 98.30/21.28 -> [2318] ~(=(B32_36_9, B32_36_9) & rs(B32_36_9, skolem_Y4949(B32_36_9)))
% 98.30/21.28 -> [2319] rs(B32_36_9, skolem_Y4949(B32_36_9))
% 98.30/21.28
% 98.30/21.28 [2318] BETA_NOT_AND : ~(=(B32_36_9, B32_36_9) & rs(B32_36_9, skolem_Y4949(B32_36_9)))
% 98.30/21.28 -> [2327] ~=(B32_36_9, B32_36_9)
% 98.30/21.28 -> [2328] ~rs(B32_36_9, skolem_Y4949(B32_36_9))
% 98.30/21.28
% 98.30/21.28 [2327] CLOSURE : ~=(B32_36_9, B32_36_9)
% 98.30/21.28
% 98.30/21.28 [2328] CLOSURE : ~rs(B32_36_9, skolem_Y4949(B32_36_9))
% 98.30/21.28
% 98.30/21.28 [2319] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.28 -> [2338] ((=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28
% 98.30/21.28 [2338] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [2339] ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [2340] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [2339] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [2348] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.28 -> [2349] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [2349] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [2348] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [2340] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.28 -> [2366] ((=(B38_36_11, B38_36_11) & xsd_integer(B38_36_11)) => xsd_integer(B38_36_11))
% 98.30/21.28
% 98.30/21.28 [2366] BETA_IMPLY : ((=(B38_36_11, B38_36_11) & xsd_integer(B38_36_11)) => xsd_integer(B38_36_11))
% 98.30/21.28 -> [2367] ~(=(B38_36_11, B38_36_11) & xsd_integer(B38_36_11))
% 98.30/21.28 -> [2368] xsd_integer(B38_36_11)
% 98.30/21.28
% 98.30/21.28 [2368] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.28 -> [2393] ((=(B40_71_12, B40_71_12) & xsd_string(B40_71_12)) => xsd_string(B40_71_12))
% 98.30/21.28
% 98.30/21.28 [2393] BETA_IMPLY : ((=(B40_71_12, B40_71_12) & xsd_string(B40_71_12)) => xsd_string(B40_71_12))
% 98.30/21.28 -> [2407] ~(=(B40_71_12, B40_71_12) & xsd_string(B40_71_12))
% 98.30/21.28 -> [2408] xsd_string(B40_71_12)
% 98.30/21.28
% 98.30/21.28 [2408] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2435] (cowlThing(X41_145_13) & ~cowlNothing(X41_145_13))
% 98.30/21.28
% 98.30/21.28 [2435] ALPHA_AND : (cowlThing(X41_145_13) & ~cowlNothing(X41_145_13))
% 98.30/21.28 -> [2438] cowlThing(X41_145_13), ~cowlNothing(X41_145_13)
% 98.30/21.28
% 98.30/21.28 [2438] CLOSURE : cowlThing(X41_145_13)
% 98.30/21.28
% 98.30/21.28 [2407] BETA_NOT_AND : ~(=(B40_71_12, B40_71_12) & xsd_string(B40_71_12))
% 98.30/21.28 -> [2413] ~=(B40_71_12, B40_71_12)
% 98.30/21.28 -> [2414] ~xsd_string(B40_71_12)
% 98.30/21.28
% 98.30/21.28 [2413] CLOSURE : ~=(B40_71_12, B40_71_12)
% 98.30/21.28
% 98.30/21.28 [2414] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2442] (cowlThing(X41_146_13) & ~cowlNothing(X41_146_13))
% 98.30/21.28
% 98.30/21.28 [2442] ALPHA_AND : (cowlThing(X41_146_13) & ~cowlNothing(X41_146_13))
% 98.30/21.28 -> [2443] cowlThing(X41_146_13), ~cowlNothing(X41_146_13)
% 98.30/21.28
% 98.30/21.28 [2443] CLOSURE : cowlThing(X41_146_13)
% 98.30/21.28
% 98.30/21.28 [2367] BETA_NOT_AND : ~(=(B38_36_11, B38_36_11) & xsd_integer(B38_36_11))
% 98.30/21.28 -> [2381] ~=(B38_36_11, B38_36_11)
% 98.30/21.28 -> [2382] ~xsd_integer(B38_36_11)
% 98.30/21.28
% 98.30/21.28 [2381] CLOSURE : ~=(B38_36_11, B38_36_11)
% 98.30/21.28
% 98.30/21.28 [2382] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.28 -> [2399] ((=(B40_73_12, B40_73_12) & xsd_string(B40_73_12)) => xsd_string(B40_73_12))
% 98.30/21.28
% 98.30/21.28 [2399] BETA_IMPLY : ((=(B40_73_12, B40_73_12) & xsd_string(B40_73_12)) => xsd_string(B40_73_12))
% 98.30/21.28 -> [2400] ~(=(B40_73_12, B40_73_12) & xsd_string(B40_73_12))
% 98.30/21.28 -> [2401] xsd_string(B40_73_12)
% 98.30/21.28
% 98.30/21.28 [2401] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2412] (cowlThing(X41_140_13) & ~cowlNothing(X41_140_13))
% 98.30/21.28
% 98.30/21.28 [2412] ALPHA_AND : (cowlThing(X41_140_13) & ~cowlNothing(X41_140_13))
% 98.30/21.28 -> [2415] cowlThing(X41_140_13), ~cowlNothing(X41_140_13)
% 98.30/21.28
% 98.30/21.28 [2415] CLOSURE : cowlThing(X41_140_13)
% 98.30/21.28
% 98.30/21.28 [2400] BETA_NOT_AND : ~(=(B40_73_12, B40_73_12) & xsd_string(B40_73_12))
% 98.30/21.28 -> [2423] ~=(B40_73_12, B40_73_12)
% 98.30/21.28 -> [2424] ~xsd_string(B40_73_12)
% 98.30/21.28
% 98.30/21.28 [2423] CLOSURE : ~=(B40_73_12, B40_73_12)
% 98.30/21.28
% 98.30/21.28 [2424] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2447] (cowlThing(X41_147_13) & ~cowlNothing(X41_147_13))
% 98.30/21.28
% 98.30/21.28 [2447] ALPHA_AND : (cowlThing(X41_147_13) & ~cowlNothing(X41_147_13))
% 98.30/21.28 -> [2450] cowlThing(X41_147_13), ~cowlNothing(X41_147_13)
% 98.30/21.28
% 98.30/21.28 [2450] CLOSURE : cowlThing(X41_147_13)
% 98.30/21.28
% 98.30/21.28 [410] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.28 -> [549] ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [549] BETA_IMPLY : ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [550] ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [551] cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [551] CLOSURE : cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [550] BETA_NOT_AND : ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [2000] ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28 -> [2001] ~cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2000] CLOSURE : ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2001] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.28 -> [2009] ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0))) => cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [2009] BETA_IMPLY : ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0))) => cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [2010] ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [2011] cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2011] CLOSURE : cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2010] BETA_NOT_AND : ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [2463] ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28 -> [2464] ~cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2463] CLOSURE : ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2464] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.28 -> [2467] ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28
% 98.30/21.28 [2467] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2468] ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2469] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2468] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2470] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28 -> [2471] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2471] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2470] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2469] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.28 -> [2472] ((=(B23_38_6, B23_38_6) & rinvR(C24_38_6, B23_38_6)) => rinvR(C24_38_6, B23_38_6))
% 98.30/21.28
% 98.30/21.28 [2472] BETA_IMPLY : ((=(B23_38_6, B23_38_6) & rinvR(C24_38_6, B23_38_6)) => rinvR(C24_38_6, B23_38_6))
% 98.30/21.28 -> [2474] ~(=(B23_38_6, B23_38_6) & rinvR(C24_38_6, B23_38_6))
% 98.30/21.28 -> [2475] rinvR(C24_38_6, B23_38_6)
% 98.30/21.28
% 98.30/21.28 [2474] BETA_NOT_AND : ~(=(B23_38_6, B23_38_6) & rinvR(C24_38_6, B23_38_6))
% 98.30/21.28 -> [2478] ~=(B23_38_6, B23_38_6)
% 98.30/21.28 -> [2479] ~rinvR(C24_38_6, B23_38_6)
% 98.30/21.28
% 98.30/21.28 [2478] CLOSURE : ~=(B23_38_6, B23_38_6)
% 98.30/21.28
% 98.30/21.28 [2479] CLOSURE : ~rinvR(C24_38_6, B23_38_6)
% 98.30/21.28
% 98.30/21.28 [2475] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.28 -> [2496] ((=(B26_38_7, B26_38_7) & rr(B26_38_7, skolem_Y4444(B26_38_7))) => rr(B26_38_7, skolem_Y4444(B26_38_7)))
% 98.30/21.28
% 98.30/21.28 [2496] BETA_IMPLY : ((=(B26_38_7, B26_38_7) & rr(B26_38_7, skolem_Y4444(B26_38_7))) => rr(B26_38_7, skolem_Y4444(B26_38_7)))
% 98.30/21.28 -> [2497] ~(=(B26_38_7, B26_38_7) & rr(B26_38_7, skolem_Y4444(B26_38_7)))
% 98.30/21.28 -> [2498] rr(B26_38_7, skolem_Y4444(B26_38_7))
% 98.30/21.28
% 98.30/21.28 [2497] BETA_NOT_AND : ~(=(B26_38_7, B26_38_7) & rr(B26_38_7, skolem_Y4444(B26_38_7)))
% 98.30/21.28 -> [2499] ~=(B26_38_7, B26_38_7)
% 98.30/21.28 -> [2500] ~rr(B26_38_7, skolem_Y4444(B26_38_7))
% 98.30/21.28
% 98.30/21.28 [2499] CLOSURE : ~=(B26_38_7, B26_38_7)
% 98.30/21.28
% 98.30/21.28 [2500] CLOSURE : ~rr(B26_38_7, skolem_Y4444(B26_38_7))
% 98.30/21.28
% 98.30/21.28 [2498] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.28 -> [2502] ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28
% 98.30/21.28 [2502] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [2510] ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [2511] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2510] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [2514] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28 -> [2515] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2515] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2514] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [2511] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.28 -> [2521] ((=(B32_39_9, B32_39_9) & rs(B32_39_9, skolem_Y4949(B32_39_9))) => rs(B32_39_9, skolem_Y4949(B32_39_9)))
% 98.30/21.28
% 98.30/21.28 [2521] BETA_IMPLY : ((=(B32_39_9, B32_39_9) & rs(B32_39_9, skolem_Y4949(B32_39_9))) => rs(B32_39_9, skolem_Y4949(B32_39_9)))
% 98.30/21.28 -> [2522] ~(=(B32_39_9, B32_39_9) & rs(B32_39_9, skolem_Y4949(B32_39_9)))
% 98.30/21.28 -> [2523] rs(B32_39_9, skolem_Y4949(B32_39_9))
% 98.30/21.28
% 98.30/21.28 [2522] BETA_NOT_AND : ~(=(B32_39_9, B32_39_9) & rs(B32_39_9, skolem_Y4949(B32_39_9)))
% 98.30/21.28 -> [2524] ~=(B32_39_9, B32_39_9)
% 98.30/21.28 -> [2525] ~rs(B32_39_9, skolem_Y4949(B32_39_9))
% 98.30/21.28
% 98.30/21.28 [2525] CLOSURE : ~rs(B32_39_9, skolem_Y4949(B32_39_9))
% 98.30/21.28
% 98.30/21.28 [2524] CLOSURE : ~=(B32_39_9, B32_39_9)
% 98.30/21.28
% 98.30/21.28 [2523] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.28 -> [2532] ((=(skolem_Y4949(C36_39_10), skolem_Y4949(C36_39_10)) & rs(C36_39_10, skolem_Y4949(C36_39_10))) => rs(C36_39_10, skolem_Y4949(C36_39_10)))
% 98.30/21.28
% 98.30/21.28 [2532] BETA_IMPLY : ((=(skolem_Y4949(C36_39_10), skolem_Y4949(C36_39_10)) & rs(C36_39_10, skolem_Y4949(C36_39_10))) => rs(C36_39_10, skolem_Y4949(C36_39_10)))
% 98.30/21.28 -> [2533] ~(=(skolem_Y4949(C36_39_10), skolem_Y4949(C36_39_10)) & rs(C36_39_10, skolem_Y4949(C36_39_10)))
% 98.30/21.28 -> [2534] rs(C36_39_10, skolem_Y4949(C36_39_10))
% 98.30/21.28
% 98.30/21.28 [2533] BETA_NOT_AND : ~(=(skolem_Y4949(C36_39_10), skolem_Y4949(C36_39_10)) & rs(C36_39_10, skolem_Y4949(C36_39_10)))
% 98.30/21.28 -> [2537] ~=(skolem_Y4949(C36_39_10), skolem_Y4949(C36_39_10))
% 98.30/21.28 -> [2538] ~rs(C36_39_10, skolem_Y4949(C36_39_10))
% 98.30/21.28
% 98.30/21.28 [2538] CLOSURE : ~rs(C36_39_10, skolem_Y4949(C36_39_10))
% 98.30/21.28
% 98.30/21.28 [2537] CLOSURE : ~=(skolem_Y4949(C36_39_10), skolem_Y4949(C36_39_10))
% 98.30/21.28
% 98.30/21.28 [2534] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.28 -> [2542] ((=(B38_39_11, B38_39_11) & xsd_integer(B38_39_11)) => xsd_integer(B38_39_11))
% 98.30/21.28
% 98.30/21.28 [2542] BETA_IMPLY : ((=(B38_39_11, B38_39_11) & xsd_integer(B38_39_11)) => xsd_integer(B38_39_11))
% 98.30/21.28 -> [2545] ~(=(B38_39_11, B38_39_11) & xsd_integer(B38_39_11))
% 98.30/21.28 -> [2546] xsd_integer(B38_39_11)
% 98.30/21.28
% 98.30/21.28 [2545] BETA_NOT_AND : ~(=(B38_39_11, B38_39_11) & xsd_integer(B38_39_11))
% 98.30/21.28 -> [2554] ~=(B38_39_11, B38_39_11)
% 98.30/21.28 -> [2555] ~xsd_integer(B38_39_11)
% 98.30/21.28
% 98.30/21.28 [2554] CLOSURE : ~=(B38_39_11, B38_39_11)
% 98.30/21.28
% 98.30/21.28 [2555] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.28 -> [2565] ((=(B40_79_12, B40_79_12) & xsd_string(B40_79_12)) => xsd_string(B40_79_12))
% 98.30/21.28
% 98.30/21.28 [2565] BETA_IMPLY : ((=(B40_79_12, B40_79_12) & xsd_string(B40_79_12)) => xsd_string(B40_79_12))
% 98.30/21.28 -> [2567] ~(=(B40_79_12, B40_79_12) & xsd_string(B40_79_12))
% 98.30/21.28 -> [2568] xsd_string(B40_79_12)
% 98.30/21.28
% 98.30/21.28 [2568] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2586] (cowlThing(X41_157_13) & ~cowlNothing(X41_157_13))
% 98.30/21.28
% 98.30/21.28 [2586] ALPHA_AND : (cowlThing(X41_157_13) & ~cowlNothing(X41_157_13))
% 98.30/21.28 -> [2587] cowlThing(X41_157_13), ~cowlNothing(X41_157_13)
% 98.30/21.28
% 98.30/21.28 [2587] CLOSURE : ~cowlNothing(X41_157_13)
% 98.30/21.28
% 98.30/21.28 [2567] BETA_NOT_AND : ~(=(B40_79_12, B40_79_12) & xsd_string(B40_79_12))
% 98.30/21.28 -> [2570] ~=(B40_79_12, B40_79_12)
% 98.30/21.28 -> [2571] ~xsd_string(B40_79_12)
% 98.30/21.28
% 98.30/21.28 [2570] CLOSURE : ~=(B40_79_12, B40_79_12)
% 98.30/21.28
% 98.30/21.28 [2571] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2591] (cowlThing(X41_159_13) & ~cowlNothing(X41_159_13))
% 98.30/21.28
% 98.30/21.28 [2591] ALPHA_AND : (cowlThing(X41_159_13) & ~cowlNothing(X41_159_13))
% 98.30/21.28 -> [2593] cowlThing(X41_159_13), ~cowlNothing(X41_159_13)
% 98.30/21.28
% 98.30/21.28 [2593] CLOSURE : ~cowlNothing(X41_159_13)
% 98.30/21.28
% 98.30/21.28 [2546] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.28 -> [2558] ((=(B40_78_12, B40_78_12) & xsd_string(B40_78_12)) => xsd_string(B40_78_12))
% 98.30/21.28
% 98.30/21.28 [2558] BETA_IMPLY : ((=(B40_78_12, B40_78_12) & xsd_string(B40_78_12)) => xsd_string(B40_78_12))
% 98.30/21.28 -> [2559] ~(=(B40_78_12, B40_78_12) & xsd_string(B40_78_12))
% 98.30/21.28 -> [2560] xsd_string(B40_78_12)
% 98.30/21.28
% 98.30/21.28 [2559] BETA_NOT_AND : ~(=(B40_78_12, B40_78_12) & xsd_string(B40_78_12))
% 98.30/21.28 -> [2563] ~=(B40_78_12, B40_78_12)
% 98.30/21.28 -> [2564] ~xsd_string(B40_78_12)
% 98.30/21.28
% 98.30/21.28 [2563] CLOSURE : ~=(B40_78_12, B40_78_12)
% 98.30/21.28
% 98.30/21.28 [2564] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2584] (cowlThing(X41_156_13) & ~cowlNothing(X41_156_13))
% 98.30/21.28
% 98.30/21.28 [2584] ALPHA_AND : (cowlThing(X41_156_13) & ~cowlNothing(X41_156_13))
% 98.30/21.28 -> [2585] cowlThing(X41_156_13), ~cowlNothing(X41_156_13)
% 98.30/21.28
% 98.30/21.28 [2585] CLOSURE : ~cowlNothing(X41_156_13)
% 98.30/21.28
% 98.30/21.28 [2560] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2588] (cowlThing(X41_158_13) & ~cowlNothing(X41_158_13))
% 98.30/21.28
% 98.30/21.28 [2588] ALPHA_AND : (cowlThing(X41_158_13) & ~cowlNothing(X41_158_13))
% 98.30/21.28 -> [2589] cowlThing(X41_158_13), ~cowlNothing(X41_158_13)
% 98.30/21.28
% 98.30/21.28 [2589] CLOSURE : ~cowlNothing(X41_158_13)
% 98.30/21.28
% 98.30/21.28 [230] BETA_NOT_AND : ~(=(B12_2_1, B12_2_1) & cowlNothing(B12_2_1))
% 98.30/21.28 -> [236] ~=(B12_2_1, B12_2_1)
% 98.30/21.28 -> [237] ~cowlNothing(B12_2_1)
% 98.30/21.28
% 98.30/21.28 [236] CLOSURE : ~=(B12_2_1, B12_2_1)
% 98.30/21.28
% 98.30/21.28 [237] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & cowlThing(A13_13)) => cowlThing(B14_14)))
% 98.30/21.28 -> [278] ((=(B14_4_2, B14_4_2) & cowlThing(B14_4_2)) => cowlThing(B14_4_2))
% 98.30/21.28
% 98.30/21.28 [278] BETA_IMPLY : ((=(B14_4_2, B14_4_2) & cowlThing(B14_4_2)) => cowlThing(B14_4_2))
% 98.30/21.28 -> [279] ~(=(B14_4_2, B14_4_2) & cowlThing(B14_4_2))
% 98.30/21.28 -> [280] cowlThing(B14_4_2)
% 98.30/21.28
% 98.30/21.28 [279] BETA_NOT_AND : ~(=(B14_4_2, B14_4_2) & cowlThing(B14_4_2))
% 98.30/21.28 -> [286] ~=(B14_4_2, B14_4_2)
% 98.30/21.28 -> [287] ~cowlThing(B14_4_2)
% 98.30/21.28
% 98.30/21.28 [286] CLOSURE : ~=(B14_4_2, B14_4_2)
% 98.30/21.28
% 98.30/21.28 [287] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.28 -> [298] ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [298] BETA_IMPLY : ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [299] ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [300] cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [300] CLOSURE : cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [299] BETA_NOT_AND : ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [1566] ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28 -> [1567] ~cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1566] CLOSURE : ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1567] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.28 -> [1572] ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0))) => cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [1572] BETA_IMPLY : ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0))) => cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [1573] ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [1574] cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1574] CLOSURE : cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [1573] BETA_NOT_AND : ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cq(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [2022] ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28 -> [2023] ~cq(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2022] CLOSURE : ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2023] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.28 -> [2036] ((=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))) => rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [2036] BETA_IMPLY : ((=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))) => rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [2039] ~(=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [2040] rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2039] BETA_NOT_AND : ~(=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [2048] ~=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0))
% 98.30/21.28 -> [2049] ~rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2048] CLOSURE : ~=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2049] CLOSURE : ~rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [2040] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.28 -> [2113] ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28
% 98.30/21.28 [2113] BETA_IMPLY : ((=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545)) => rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2114] ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2115] rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2114] BETA_NOT_AND : ~(=(skolem_Z4545, skolem_Z4545) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.30/21.28 -> [2118] ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.28 -> [2119] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2119] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2118] CLOSURE : ~=(skolem_Z4545, skolem_Z4545)
% 98.30/21.28
% 98.30/21.28 [2115] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.28 -> [2134] ((=(B26_33_7, B26_33_7) & rr(B26_33_7, skolem_Y4444(B26_33_7))) => rr(B26_33_7, skolem_Y4444(B26_33_7)))
% 98.30/21.28
% 98.30/21.28 [2134] BETA_IMPLY : ((=(B26_33_7, B26_33_7) & rr(B26_33_7, skolem_Y4444(B26_33_7))) => rr(B26_33_7, skolem_Y4444(B26_33_7)))
% 98.30/21.28 -> [2135] ~(=(B26_33_7, B26_33_7) & rr(B26_33_7, skolem_Y4444(B26_33_7)))
% 98.30/21.28 -> [2136] rr(B26_33_7, skolem_Y4444(B26_33_7))
% 98.30/21.28
% 98.30/21.28 [2135] BETA_NOT_AND : ~(=(B26_33_7, B26_33_7) & rr(B26_33_7, skolem_Y4444(B26_33_7)))
% 98.30/21.28 -> [2141] ~=(B26_33_7, B26_33_7)
% 98.30/21.28 -> [2142] ~rr(B26_33_7, skolem_Y4444(B26_33_7))
% 98.30/21.28
% 98.30/21.28 [2142] CLOSURE : ~rr(B26_33_7, skolem_Y4444(B26_33_7))
% 98.30/21.28
% 98.30/21.28 [2141] CLOSURE : ~=(B26_33_7, B26_33_7)
% 98.30/21.28
% 98.30/21.28 [2136] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.28 -> [2163] ((=(skolem_Y4444(C30_33_8), skolem_Y4444(C30_33_8)) & rr(C30_33_8, skolem_Y4444(C30_33_8))) => rr(C30_33_8, skolem_Y4444(C30_33_8)))
% 98.30/21.28
% 98.30/21.28 [2163] BETA_IMPLY : ((=(skolem_Y4444(C30_33_8), skolem_Y4444(C30_33_8)) & rr(C30_33_8, skolem_Y4444(C30_33_8))) => rr(C30_33_8, skolem_Y4444(C30_33_8)))
% 98.30/21.28 -> [2164] ~(=(skolem_Y4444(C30_33_8), skolem_Y4444(C30_33_8)) & rr(C30_33_8, skolem_Y4444(C30_33_8)))
% 98.30/21.28 -> [2165] rr(C30_33_8, skolem_Y4444(C30_33_8))
% 98.30/21.28
% 98.30/21.28 [2164] BETA_NOT_AND : ~(=(skolem_Y4444(C30_33_8), skolem_Y4444(C30_33_8)) & rr(C30_33_8, skolem_Y4444(C30_33_8)))
% 98.30/21.28 -> [2170] ~=(skolem_Y4444(C30_33_8), skolem_Y4444(C30_33_8))
% 98.30/21.28 -> [2171] ~rr(C30_33_8, skolem_Y4444(C30_33_8))
% 98.30/21.28
% 98.30/21.28 [2171] CLOSURE : ~rr(C30_33_8, skolem_Y4444(C30_33_8))
% 98.30/21.28
% 98.30/21.28 [2170] CLOSURE : ~=(skolem_Y4444(C30_33_8), skolem_Y4444(C30_33_8))
% 98.30/21.28
% 98.30/21.28 [2165] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.28 -> [2185] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28
% 98.30/21.28 [2185] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [2188] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [2189] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [2189] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((=(A34_34, B35_35) & rs(C36_36, A34_34)) => rs(C36_36, B35_35)))
% 98.30/21.28 -> [2198] ((=(B35_32_10, B35_32_10) & rs(C36_32_10, B35_32_10)) => rs(C36_32_10, B35_32_10))
% 98.30/21.28
% 98.30/21.28 [2198] BETA_IMPLY : ((=(B35_32_10, B35_32_10) & rs(C36_32_10, B35_32_10)) => rs(C36_32_10, B35_32_10))
% 98.30/21.28 -> [2201] ~(=(B35_32_10, B35_32_10) & rs(C36_32_10, B35_32_10))
% 98.30/21.28 -> [2202] rs(C36_32_10, B35_32_10)
% 98.30/21.28
% 98.30/21.28 [2202] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.28 -> [2243] ((=(B38_33_11, B38_33_11) & xsd_integer(B38_33_11)) => xsd_integer(B38_33_11))
% 98.30/21.28
% 98.30/21.28 [2243] BETA_IMPLY : ((=(B38_33_11, B38_33_11) & xsd_integer(B38_33_11)) => xsd_integer(B38_33_11))
% 98.30/21.28 -> [2244] ~(=(B38_33_11, B38_33_11) & xsd_integer(B38_33_11))
% 98.30/21.28 -> [2245] xsd_integer(B38_33_11)
% 98.30/21.28
% 98.30/21.28 [2244] BETA_NOT_AND : ~(=(B38_33_11, B38_33_11) & xsd_integer(B38_33_11))
% 98.30/21.28 -> [2261] ~=(B38_33_11, B38_33_11)
% 98.30/21.28 -> [2262] ~xsd_integer(B38_33_11)
% 98.30/21.28
% 98.30/21.28 [2261] CLOSURE : ~=(B38_33_11, B38_33_11)
% 98.30/21.28
% 98.30/21.28 [2262] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.28 -> [2275] ((=(B40_65_12, B40_65_12) & xsd_string(B40_65_12)) => xsd_string(B40_65_12))
% 98.30/21.28
% 98.30/21.28 [2275] BETA_IMPLY : ((=(B40_65_12, B40_65_12) & xsd_string(B40_65_12)) => xsd_string(B40_65_12))
% 98.30/21.28 -> [2276] ~(=(B40_65_12, B40_65_12) & xsd_string(B40_65_12))
% 98.30/21.28 -> [2277] xsd_string(B40_65_12)
% 98.30/21.28
% 98.30/21.28 [2276] BETA_NOT_AND : ~(=(B40_65_12, B40_65_12) & xsd_string(B40_65_12))
% 98.30/21.28 -> [2285] ~=(B40_65_12, B40_65_12)
% 98.30/21.28 -> [2286] ~xsd_string(B40_65_12)
% 98.30/21.28
% 98.30/21.28 [2285] CLOSURE : ~=(B40_65_12, B40_65_12)
% 98.30/21.28
% 98.30/21.28 [2286] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2298] (cowlThing(X41_126_13) & ~cowlNothing(X41_126_13))
% 98.30/21.28
% 98.30/21.28 [2298] ALPHA_AND : (cowlThing(X41_126_13) & ~cowlNothing(X41_126_13))
% 98.30/21.28 -> [2299] cowlThing(X41_126_13), ~cowlNothing(X41_126_13)
% 98.30/21.28
% 98.30/21.28 [2299] CLOSURE : cowlThing(X41_126_13)
% 98.30/21.28
% 98.30/21.28 [2277] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2309] (cowlThing(X41_130_13) & ~cowlNothing(X41_130_13))
% 98.30/21.28
% 98.30/21.28 [2309] ALPHA_AND : (cowlThing(X41_130_13) & ~cowlNothing(X41_130_13))
% 98.30/21.28 -> [2310] cowlThing(X41_130_13), ~cowlNothing(X41_130_13)
% 98.30/21.28
% 98.30/21.28 [2310] CLOSURE : cowlThing(X41_130_13)
% 98.30/21.28
% 98.30/21.28 [2245] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.28 -> [2333] ((=(B40_67_12, B40_67_12) & xsd_string(B40_67_12)) => xsd_string(B40_67_12))
% 98.30/21.28
% 98.30/21.28 [2333] BETA_IMPLY : ((=(B40_67_12, B40_67_12) & xsd_string(B40_67_12)) => xsd_string(B40_67_12))
% 98.30/21.28 -> [2334] ~(=(B40_67_12, B40_67_12) & xsd_string(B40_67_12))
% 98.30/21.28 -> [2335] xsd_string(B40_67_12)
% 98.30/21.28
% 98.30/21.28 [2334] BETA_NOT_AND : ~(=(B40_67_12, B40_67_12) & xsd_string(B40_67_12))
% 98.30/21.28 -> [2344] ~=(B40_67_12, B40_67_12)
% 98.30/21.28 -> [2345] ~xsd_string(B40_67_12)
% 98.30/21.28
% 98.30/21.28 [2344] CLOSURE : ~=(B40_67_12, B40_67_12)
% 98.30/21.28
% 98.30/21.28 [2345] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2362] (cowlThing(X41_134_13) & ~cowlNothing(X41_134_13))
% 98.30/21.28
% 98.30/21.28 [2362] ALPHA_AND : (cowlThing(X41_134_13) & ~cowlNothing(X41_134_13))
% 98.30/21.28 -> [2363] cowlThing(X41_134_13), ~cowlNothing(X41_134_13)
% 98.30/21.28
% 98.30/21.28 [2363] CLOSURE : cowlThing(X41_134_13)
% 98.30/21.28
% 98.30/21.28 [2335] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [2375] (cowlThing(X41_135_13) & ~cowlNothing(X41_135_13))
% 98.30/21.28
% 98.30/21.28 [2375] ALPHA_AND : (cowlThing(X41_135_13) & ~cowlNothing(X41_135_13))
% 98.30/21.28 -> [2376] cowlThing(X41_135_13), ~cowlNothing(X41_135_13)
% 98.30/21.28
% 98.30/21.28 [2376] CLOSURE : cowlThing(X41_135_13)
% 98.30/21.28
% 98.30/21.28 [2201] BETA_NOT_AND : ~(=(B35_32_10, B35_32_10) & rs(C36_32_10, B35_32_10))
% 98.30/21.28 -> [2212] ~=(B35_32_10, B35_32_10)
% 98.30/21.28 -> [2213] ~rs(C36_32_10, B35_32_10)
% 98.30/21.28
% 98.30/21.28 [2213] CLOSURE : ~rs(C36_32_10, B35_32_10)
% 98.30/21.28
% 98.30/21.28 [2212] CLOSURE : ~=(B35_32_10, B35_32_10)
% 98.30/21.28
% 98.30/21.28 [2188] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [2199] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.28 -> [2200] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [2200] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [2199] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [280] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & cp(A15_15)) => cp(B16_16)))
% 98.30/21.28 -> [293] ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [293] BETA_IMPLY : ((=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0))) => cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [294] ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [295] cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [295] CLOSURE : cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [294] BETA_NOT_AND : ~(=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0)) & cp(skolem_Y4949(B10_0_0)))
% 98.30/21.28 -> [4557] ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28 -> [4558] ~cp(skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [4557] CLOSURE : ~=(skolem_Y4949(B10_0_0), skolem_Y4949(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [4558] GAMMA_FORALL : ! [A17_17, B18_18] : (((=(A17_17, B18_18) & cq(A17_17)) => cq(B18_18)))
% 98.30/21.28 -> [4559] ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.28
% 98.30/21.28 [4559] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949)) => cq(skolem_Y4949))
% 98.30/21.28 -> [4560] ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.28 -> [4561] cq(skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4561] CLOSURE : cq(skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4560] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & cq(skolem_Y4949))
% 98.30/21.28 -> [4874] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.28 -> [4875] ~cq(skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4874] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4875] GAMMA_FORALL : ! [A19_19, B20_20, C21_21] : (((=(A19_19, B20_20) & rinvR(A19_19, C21_21)) => rinvR(B20_20, C21_21)))
% 98.30/21.28 -> [4876] ((=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))) => rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28
% 98.30/21.28 [4876] BETA_IMPLY : ((=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))) => rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [4877] ~(=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [4878] rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [4877] BETA_NOT_AND : ~(=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0)) & rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0)))
% 98.30/21.28 -> [4879] ~=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0))
% 98.30/21.28 -> [4880] ~rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [4880] CLOSURE : ~rinvR(skolem_Y4444(B10_0_0), skolem_Z4545(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [4879] CLOSURE : ~=(skolem_Y4444(B10_0_0), skolem_Y4444(B10_0_0))
% 98.30/21.28
% 98.30/21.28 [4878] GAMMA_FORALL : ! [A22_22, B23_23, C24_24] : (((=(A22_22, B23_23) & rinvR(C24_24, A22_22)) => rinvR(C24_24, B23_23)))
% 98.30/21.28 -> [4881] ((=(B23_47_6, B23_47_6) & rinvR(C24_47_6, B23_47_6)) => rinvR(C24_47_6, B23_47_6))
% 98.30/21.28
% 98.30/21.28 [4881] BETA_IMPLY : ((=(B23_47_6, B23_47_6) & rinvR(C24_47_6, B23_47_6)) => rinvR(C24_47_6, B23_47_6))
% 98.30/21.28 -> [4882] ~(=(B23_47_6, B23_47_6) & rinvR(C24_47_6, B23_47_6))
% 98.30/21.28 -> [4883] rinvR(C24_47_6, B23_47_6)
% 98.30/21.28
% 98.30/21.28 [4882] BETA_NOT_AND : ~(=(B23_47_6, B23_47_6) & rinvR(C24_47_6, B23_47_6))
% 98.30/21.28 -> [4884] ~=(B23_47_6, B23_47_6)
% 98.30/21.28 -> [4885] ~rinvR(C24_47_6, B23_47_6)
% 98.30/21.28
% 98.30/21.28 [4885] CLOSURE : ~rinvR(C24_47_6, B23_47_6)
% 98.30/21.28
% 98.30/21.28 [4884] CLOSURE : ~=(B23_47_6, B23_47_6)
% 98.30/21.28
% 98.30/21.28 [4883] GAMMA_FORALL : ! [A25_25, B26_26, C27_27] : (((=(A25_25, B26_26) & rr(A25_25, C27_27)) => rr(B26_26, C27_27)))
% 98.30/21.28 -> [4886] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28
% 98.30/21.28 [4886] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4887] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4888] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4887] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4889] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.28 -> [4890] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4890] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4889] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [4888] GAMMA_FORALL : ! [A28_28, B29_29, C30_30] : (((=(A28_28, B29_29) & rr(C30_30, A28_28)) => rr(C30_30, B29_29)))
% 98.30/21.28 -> [4891] ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28
% 98.30/21.28 [4891] BETA_IMPLY : ((=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444)) => rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4892] ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4893] rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4892] BETA_NOT_AND : ~(=(skolem_Y4444, skolem_Y4444) & rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.30/21.28 -> [4894] ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28 -> [4895] ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4894] CLOSURE : ~=(skolem_Y4444, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4895] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.30/21.28
% 98.30/21.28 [4893] GAMMA_FORALL : ! [A31_31, B32_32, C33_33] : (((=(A31_31, B32_32) & rs(A31_31, C33_33)) => rs(B32_32, C33_33)))
% 98.30/21.28 -> [4896] ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28
% 98.30/21.28 [4896] BETA_IMPLY : ((=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [4897] ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [4898] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4897] BETA_NOT_AND : ~(=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [4899] ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.28 -> [4900] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4900] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [4899] CLOSURE : ~=(i2003_11_14_17_19_13721, i2003_11_14_17_19_13721)
% 98.30/21.28
% 98.30/21.28 [4901] BETA_IMPLY : ((=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949)) => rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [5544] ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [5545] rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [5544] BETA_NOT_AND : ~(=(skolem_Y4949, skolem_Y4949) & rs(i2003_11_14_17_19_13721, skolem_Y4949))
% 98.30/21.28 -> [5546] ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.28 -> [5547] ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [5546] CLOSURE : ~=(skolem_Y4949, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [5547] CLOSURE : ~rs(i2003_11_14_17_19_13721, skolem_Y4949)
% 98.30/21.28
% 98.30/21.28 [5545] GAMMA_FORALL : ! [A37_37, B38_38] : (((=(A37_37, B38_38) & xsd_integer(A37_37)) => xsd_integer(B38_38)))
% 98.30/21.28 -> [5548] ((=(B38_51_11, B38_51_11) & xsd_integer(B38_51_11)) => xsd_integer(B38_51_11))
% 98.30/21.28
% 98.30/21.28 [5548] BETA_IMPLY : ((=(B38_51_11, B38_51_11) & xsd_integer(B38_51_11)) => xsd_integer(B38_51_11))
% 98.30/21.28 -> [5549] ~(=(B38_51_11, B38_51_11) & xsd_integer(B38_51_11))
% 98.30/21.28 -> [5550] xsd_integer(B38_51_11)
% 98.30/21.28
% 98.30/21.28 [5549] BETA_NOT_AND : ~(=(B38_51_11, B38_51_11) & xsd_integer(B38_51_11))
% 98.30/21.28 -> [5551] ~=(B38_51_11, B38_51_11)
% 98.30/21.28 -> [5552] ~xsd_integer(B38_51_11)
% 98.30/21.28
% 98.30/21.28 [5551] CLOSURE : ~=(B38_51_11, B38_51_11)
% 98.30/21.28
% 98.30/21.28 [5552] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.30/21.28 -> [5556] ((=(B40_112_12, B40_112_12) & xsd_string(B40_112_12)) => xsd_string(B40_112_12))
% 98.30/21.28
% 98.30/21.28 [5556] BETA_IMPLY : ((=(B40_112_12, B40_112_12) & xsd_string(B40_112_12)) => xsd_string(B40_112_12))
% 98.30/21.28 -> [5559] ~(=(B40_112_12, B40_112_12) & xsd_string(B40_112_12))
% 98.30/21.28 -> [5560] xsd_string(B40_112_12)
% 98.30/21.28
% 98.30/21.28 [5559] BETA_NOT_AND : ~(=(B40_112_12, B40_112_12) & xsd_string(B40_112_12))
% 98.30/21.28 -> [5561] ~=(B40_112_12, B40_112_12)
% 98.30/21.28 -> [5562] ~xsd_string(B40_112_12)
% 98.30/21.28
% 98.30/21.28 [5562] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [5568] (cowlThing(X41_252_13) & ~cowlNothing(X41_252_13))
% 98.30/21.28
% 98.30/21.28 [5568] ALPHA_AND : (cowlThing(X41_252_13) & ~cowlNothing(X41_252_13))
% 98.30/21.28 -> [5570] cowlThing(X41_252_13), ~cowlNothing(X41_252_13)
% 98.30/21.28
% 98.30/21.28 [5570] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.28 -> [5577] (xsd_string(X42_107_14) <=> ~xsd_integer(X42_107_14))
% 98.30/21.28
% 98.30/21.28 [5577] BETA_EQUIV : (xsd_string(X42_107_14) <=> ~xsd_integer(X42_107_14))
% 98.30/21.28 -> [5579] ~xsd_string(X42_107_14), ~~xsd_integer(X42_107_14)
% 98.30/21.28 -> [5580] xsd_string(X42_107_14), ~xsd_integer(X42_107_14)
% 98.30/21.28
% 98.30/21.28 [5579] ALPHA_NOT_NOT : ~~xsd_integer(X42_107_14)
% 98.30/21.28 -> [5585] xsd_integer(X42_107_14)
% 98.30/21.28
% 98.30/21.28 [5585] CLOSURE : xsd_integer(X42_107_14)
% 98.30/21.28
% 98.30/21.28 [5580] CLOSURE : xsd_string(X42_107_14)
% 98.30/21.28
% 98.30/21.28 [5561] CLOSURE : ~=(B40_112_12, B40_112_12)
% 98.30/21.28
% 98.30/21.28 [5560] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.30/21.28 -> [5566] (cowlThing(X41_251_13) & ~cowlNothing(X41_251_13))
% 98.30/21.28
% 98.30/21.28 [5566] ALPHA_AND : (cowlThing(X41_251_13) & ~cowlNothing(X41_251_13))
% 98.30/21.28 -> [5569] cowlThing(X41_251_13), ~cowlNothing(X41_251_13)
% 98.30/21.28
% 98.30/21.28 [5569] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.30/21.28 -> [5578] (xsd_string(X42_108_14) <=> ~xsd_integer(X42_108_14))
% 98.30/21.28
% 98.30/21.28 [5578] BETA_EQUIV : (xsd_string(X42_108_14) <=> ~xsd_integer(X42_108_14))
% 98.30/21.28 -> [5581] ~xsd_string(X42_108_14), ~~xsd_integer(X42_108_14)
% 98.36/21.28 -> [5582] xsd_string(X42_108_14), ~xsd_integer(X42_108_14)
% 98.36/21.28
% 98.36/21.28 [5581] ALPHA_NOT_NOT : ~~xsd_integer(X42_108_14)
% 98.36/21.28 -> [5584] xsd_integer(X42_108_14)
% 98.36/21.28
% 98.36/21.28 [5584] CLOSURE : xsd_integer(X42_108_14)
% 98.36/21.28
% 98.36/21.28 [5582] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.36/21.28 -> [5587] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.36/21.28
% 98.36/21.28 [5587] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.36/21.28 -> [5588] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28 -> [5589] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28
% 98.36/21.28 [5588] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28
% 98.36/21.28 [5589] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.36/21.28 -> [5593] ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.36/21.28
% 98.36/21.28 [5593] BETA_IMPLY : ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.36/21.28 -> [5594] ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.36/21.28 -> [5595] =(skolem_Z4545, i2003_11_14_17_19_13721)
% 98.36/21.28
% 98.36/21.28 [5595] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.36/21.28 -> [5611] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.36/21.28
% 98.36/21.28 [5611] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.36/21.28 -> [5612] ~rs(skolem_Z4545, skolem_Y4949)
% 98.36/21.28 -> [5613] cp(skolem_Y4949)
% 98.36/21.28
% 98.36/21.28 [5613] CLOSURE : =
% 98.36/21.28
% 98.36/21.28 [5612] CLOSURE : =
% 98.36/21.28
% 98.36/21.28 [5594] BETA_NOT_AND : ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.36/21.28 -> [5620] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.36/21.28 -> [5621] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.36/21.28
% 98.36/21.28 [5620] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.36/21.28
% 98.36/21.28 [5621] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.36/21.28
% 98.36/21.28 [5550] GAMMA_FORALL : ! [A39_39, B40_40] : (((=(A39_39, B40_40) & xsd_string(A39_39)) => xsd_string(B40_40)))
% 98.36/21.28 -> [5553] ((=(B40_111_12, B40_111_12) & xsd_string(B40_111_12)) => xsd_string(B40_111_12))
% 98.36/21.28
% 98.36/21.28 [5553] BETA_IMPLY : ((=(B40_111_12, B40_111_12) & xsd_string(B40_111_12)) => xsd_string(B40_111_12))
% 98.36/21.28 -> [5554] ~(=(B40_111_12, B40_111_12) & xsd_string(B40_111_12))
% 98.36/21.28 -> [5555] xsd_string(B40_111_12)
% 98.36/21.28
% 98.36/21.28 [5555] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.36/21.28 -> [5563] (cowlThing(X41_249_13) & ~cowlNothing(X41_249_13))
% 98.36/21.28
% 98.36/21.28 [5563] ALPHA_AND : (cowlThing(X41_249_13) & ~cowlNothing(X41_249_13))
% 98.36/21.28 -> [5565] cowlThing(X41_249_13), ~cowlNothing(X41_249_13)
% 98.36/21.28
% 98.36/21.28 [5565] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.36/21.28 -> [5571] (xsd_string(X42_105_14) <=> ~xsd_integer(X42_105_14))
% 98.36/21.28
% 98.36/21.28 [5571] BETA_EQUIV : (xsd_string(X42_105_14) <=> ~xsd_integer(X42_105_14))
% 98.36/21.28 -> [5572] ~xsd_string(X42_105_14), ~~xsd_integer(X42_105_14)
% 98.36/21.28 -> [5573] xsd_string(X42_105_14), ~xsd_integer(X42_105_14)
% 98.36/21.28
% 98.36/21.28 [5573] CLOSURE : ~xsd_integer(X42_105_14)
% 98.36/21.28
% 98.36/21.28 [5583] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.36/21.28 -> [5603] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.36/21.28
% 98.36/21.28 [5603] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.36/21.28 -> [5604] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28 -> [5605] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28
% 98.36/21.28 [5604] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28
% 98.36/21.28 [5605] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.36/21.28 -> [5606] ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.36/21.28
% 98.36/21.28 [5606] BETA_IMPLY : ((rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721)) => =(skolem_Z4545, i2003_11_14_17_19_13721))
% 98.36/21.28 -> [5607] ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.36/21.28 -> [5608] =(skolem_Z4545, i2003_11_14_17_19_13721)
% 98.36/21.28
% 98.36/21.28 [5608] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.36/21.28 -> [5617] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.36/21.28
% 98.36/21.28 [5617] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.36/21.28 -> [5618] ~rs(skolem_Z4545, skolem_Y4949)
% 98.36/21.28 -> [5619] cp(skolem_Y4949)
% 98.36/21.28
% 98.36/21.28 [5619] CLOSURE : =
% 98.36/21.28
% 98.36/21.28 [5618] CLOSURE : =
% 98.36/21.28
% 98.36/21.28 [5607] BETA_NOT_AND : ~(rinvR(skolem_Y4444, skolem_Z4545) & rinvR(skolem_Y4444, i2003_11_14_17_19_13721))
% 98.36/21.28 -> [5622] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.36/21.28 -> [5623] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.36/21.28
% 98.36/21.28 [5622] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.36/21.28
% 98.36/21.28 [5623] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.36/21.28
% 98.36/21.28 [5554] BETA_NOT_AND : ~(=(B40_111_12, B40_111_12) & xsd_string(B40_111_12))
% 98.36/21.28 -> [5557] ~=(B40_111_12, B40_111_12)
% 98.36/21.28 -> [5558] ~xsd_string(B40_111_12)
% 98.36/21.28
% 98.36/21.28 [5557] CLOSURE : ~=(B40_111_12, B40_111_12)
% 98.36/21.28
% 98.36/21.28 [5558] GAMMA_FORALL : ! [X41_41] : ((cowlThing(X41_41) & ~cowlNothing(X41_41)))
% 98.36/21.28 -> [5564] (cowlThing(X41_250_13) & ~cowlNothing(X41_250_13))
% 98.36/21.28
% 98.36/21.28 [5564] ALPHA_AND : (cowlThing(X41_250_13) & ~cowlNothing(X41_250_13))
% 98.36/21.28 -> [5567] cowlThing(X41_250_13), ~cowlNothing(X41_250_13)
% 98.36/21.28
% 98.36/21.28 [5567] GAMMA_FORALL : ! [X42_42] : ((xsd_string(X42_42) <=> ~xsd_integer(X42_42)))
% 98.36/21.28 -> [5574] (xsd_string(X42_106_14) <=> ~xsd_integer(X42_106_14))
% 98.36/21.28
% 98.36/21.28 [5574] BETA_EQUIV : (xsd_string(X42_106_14) <=> ~xsd_integer(X42_106_14))
% 98.36/21.28 -> [5575] ~xsd_string(X42_106_14), ~~xsd_integer(X42_106_14)
% 98.36/21.28 -> [5576] xsd_string(X42_106_14), ~xsd_integer(X42_106_14)
% 98.36/21.28
% 98.36/21.28 [5576] CLOSURE : ~xsd_integer(X42_106_14)
% 98.36/21.28
% 98.36/21.28 [5575] ALPHA_NOT_NOT : ~~xsd_integer(X42_106_14)
% 98.36/21.28 -> [5586] xsd_integer(X42_106_14)
% 98.36/21.28
% 98.36/21.28 [5586] GAMMA_FORALL : ! [X50_50, Y51_51] : ((rinvR(X50_50, Y51_51) <=> rr(Y51_51, X50_50)))
% 98.36/21.28 -> [5590] (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.36/21.28
% 98.36/21.28 [5590] BETA_EQUIV : (rinvR(skolem_Y4444, i2003_11_14_17_19_13721) <=> rr(i2003_11_14_17_19_13721, skolem_Y4444))
% 98.36/21.28 -> [5591] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721), ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28 -> [5592] rinvR(skolem_Y4444, i2003_11_14_17_19_13721), rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28
% 98.36/21.28 [5591] CLOSURE : ~rr(i2003_11_14_17_19_13721, skolem_Y4444)
% 98.36/21.28
% 98.36/21.28 [5592] GAMMA_FORALL : ! [Z047_47, Z148_48] : (((rinvR(skolem_Y4444, Z047_47) & rinvR(skolem_Y4444, Z148_48)) => =(Z047_47, Z148_48)))
% 98.36/21.28 -> [5598] ((rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545)) => =(i2003_11_14_17_19_13721, skolem_Z4545))
% 98.36/21.28
% 98.36/21.28 [5598] BETA_IMPLY : ((rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545)) => =(i2003_11_14_17_19_13721, skolem_Z4545))
% 98.36/21.28 -> [5599] ~(rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.36/21.28 -> [5600] =(i2003_11_14_17_19_13721, skolem_Z4545)
% 98.36/21.28
% 98.36/21.28 [5600] GAMMA_FORALL : ! [W46_46] : ((rs(skolem_Z4545, W46_46) => cp(W46_46)))
% 98.36/21.28 -> [5614] (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.36/21.28
% 98.36/21.28 [5614] BETA_IMPLY : (rs(skolem_Z4545, skolem_Y4949) => cp(skolem_Y4949))
% 98.36/21.28 -> [5615] ~rs(skolem_Z4545, skolem_Y4949)
% 98.36/21.28 -> [5616] cp(skolem_Y4949)
% 98.36/21.28
% 98.36/21.28 [5616] CLOSURE : =
% 98.36/21.28
% 98.36/21.28 [5615] CLOSURE : =
% 98.36/21.28
% 98.36/21.28 [5599] BETA_NOT_AND : ~(rinvR(skolem_Y4444, i2003_11_14_17_19_13721) & rinvR(skolem_Y4444, skolem_Z4545))
% 98.36/21.28 -> [5624] ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.36/21.28 -> [5625] ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.36/21.28
% 98.36/21.28 [5625] CLOSURE : ~rinvR(skolem_Y4444, skolem_Z4545)
% 98.36/21.28
% 98.36/21.28 [5624] CLOSURE : ~rinvR(skolem_Y4444, i2003_11_14_17_19_13721)
% 98.36/21.28
% 98.36/21.28 % SZS output end Proof for theBenchmark.p
% 98.36/21.28 [20.937825s][1][Res] 237294 goroutines created
% 98.36/21.28 ==== Result ====
% 98.36/21.28 [20.937852s][1][Res] VALID
% 98.36/21.28 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------