TSTP Solution File: KRS175+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n001.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 17:33:25 EDT 2022
% Result : Theorem 196.44s 46.75s
% Output : Proof 196.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Sep 1 10:03:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.18/0.34 Start search
% 0.18/0.34 nb_step : 1 - limit : 15
% 0.18/0.34 Launch Gotab with destructive = true
% 196.28/46.69 % SZS output start Proof for theBenchmark.p
% 196.44/46.73 [0] ALPHA_AND : (! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4))) & ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6))) & ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8))) & ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10))) & ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12))) & ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14))) & ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16))) & ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17))) & ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18))) & ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia))) & ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib))) & cowlThing(ia) & cowlThing(ib) & ~((((! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))) & ! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia))))) & cowlThing(ia)) & cowlThing(ib)))
% 196.44/46.73 -> [1] ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4))), ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6))), ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8))), ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10))), ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12))), ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14))), ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16))), ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17))), ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18))), ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia))), ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib))), cowlThing(ia), cowlThing(ib), ~((((! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))) & ! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia))))) & cowlThing(ia)) & cowlThing(ib))
% 196.44/46.73
% 196.44/46.73 [1] BETA_NOT_AND : ~((((! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))) & ! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia))))) & cowlThing(ia)) & cowlThing(ib))
% 196.44/46.73 -> [2] ~(((! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))) & ! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia))))) & cowlThing(ia))
% 196.44/46.73 -> [3] ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [3] CLOSURE : ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [2] BETA_NOT_AND : ~(((! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))) & ! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia))))) & cowlThing(ia))
% 196.44/46.73 -> [4] ~((! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))) & ! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia)))))
% 196.44/46.73 -> [5] ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [5] CLOSURE : ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [4] BETA_NOT_AND : ~((! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))) & ! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia)))))
% 196.44/46.73 -> [6] ~(! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23))))
% 196.44/46.73 -> [7] ~! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia))))
% 196.44/46.73
% 196.44/46.73 [6] BETA_NOT_AND : ~(! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22))) & ! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23))))
% 196.44/46.73 -> [8] ~! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22)))
% 196.44/46.73 -> [9] ~! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))
% 196.44/46.73
% 196.44/46.73 [8] DELTA_NOT_FORALL : ~! [X22_22] : ((cowlThing(X22_22) & ~cowlNothing(X22_22)))
% 196.44/46.73 -> [14] ~(cowlThing(skolem_X2222) & ~cowlNothing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [14] BETA_NOT_AND : ~(cowlThing(skolem_X2222) & ~cowlNothing(skolem_X2222))
% 196.44/46.73 -> [17] ~cowlThing(skolem_X2222)
% 196.44/46.73 -> [18] ~~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [18] ALPHA_NOT_NOT : ~~cowlNothing(skolem_X2222)
% 196.44/46.73 -> [21] cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [21] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.73 -> [37] ((=(B4_2_0, B4_2_0) & cA(B4_2_0)) => cA(B4_2_0))
% 196.44/46.73
% 196.44/46.73 [37] BETA_IMPLY : ((=(B4_2_0, B4_2_0) & cA(B4_2_0)) => cA(B4_2_0))
% 196.44/46.73 -> [38] ~(=(B4_2_0, B4_2_0) & cA(B4_2_0))
% 196.44/46.73 -> [39] cA(B4_2_0)
% 196.44/46.73
% 196.44/46.73 [39] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.73 -> [64] ((=(B6_3_1, B6_3_1) & cA_and_B(B6_3_1)) => cA_and_B(B6_3_1))
% 196.44/46.73
% 196.44/46.73 [64] BETA_IMPLY : ((=(B6_3_1, B6_3_1) & cA_and_B(B6_3_1)) => cA_and_B(B6_3_1))
% 196.44/46.73 -> [65] ~(=(B6_3_1, B6_3_1) & cA_and_B(B6_3_1))
% 196.44/46.73 -> [66] cA_and_B(B6_3_1)
% 196.44/46.73
% 196.44/46.73 [65] BETA_NOT_AND : ~(=(B6_3_1, B6_3_1) & cA_and_B(B6_3_1))
% 196.44/46.73 -> [187] ~=(B6_3_1, B6_3_1)
% 196.44/46.73 -> [188] ~cA_and_B(B6_3_1)
% 196.44/46.73
% 196.44/46.73 [187] CLOSURE : ~=(B6_3_1, B6_3_1)
% 196.44/46.73
% 196.44/46.73 [188] ALPHA_NOT_OR : ~(cA(B6_3_1) | cB(B6_3_1))
% 196.44/46.73 -> [452] ~cA(B6_3_1), ~cB(B6_3_1)
% 196.44/46.73
% 196.44/46.73 [452] CLOSURE : ~cA(B6_3_1)
% 196.44/46.73
% 196.44/46.73 [66] Rewrite : cA_and_B(B6_3_1)
% 196.44/46.73 -> [160] (cA(B6_3_1) | cB(B6_3_1))
% 196.44/46.73
% 196.44/46.73 [160] BETA_OR : (cA(B6_3_1) | cB(B6_3_1))
% 196.44/46.73 -> [581] cA(B6_3_1)
% 196.44/46.73 -> [582] cB(B6_3_1)
% 196.44/46.73
% 196.44/46.73 [581] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [754] ((=(B8_19_2, B8_19_2) & cB(B8_19_2)) => cB(B8_19_2))
% 196.44/46.73
% 196.44/46.73 [754] BETA_IMPLY : ((=(B8_19_2, B8_19_2) & cB(B8_19_2)) => cB(B8_19_2))
% 196.44/46.73 -> [755] ~(=(B8_19_2, B8_19_2) & cB(B8_19_2))
% 196.44/46.73 -> [756] cB(B8_19_2)
% 196.44/46.73
% 196.44/46.73 [755] BETA_NOT_AND : ~(=(B8_19_2, B8_19_2) & cB(B8_19_2))
% 196.44/46.73 -> [761] ~=(B8_19_2, B8_19_2)
% 196.44/46.73 -> [762] ~cB(B8_19_2)
% 196.44/46.73
% 196.44/46.73 [761] CLOSURE : ~=(B8_19_2, B8_19_2)
% 196.44/46.73
% 196.44/46.73 [762] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [1812] ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [1812] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73 -> [1813] ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [1814] cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1813] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [1821] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [1822] ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1821] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1822] CLOSURE : ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1814] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [1823] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.73
% 196.44/46.73 [1823] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.73 -> [1824] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.73 -> [1825] cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1824] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.73 -> [1834] ~=(ia, ia)
% 196.44/46.73 -> [1835] ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1835] CLOSURE : ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1834] CLOSURE : ~=(ia, ia)
% 196.44/46.73
% 196.44/46.73 [1825] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [1844] ((=(B14_44_5, B14_44_5) & xsd_integer(B14_44_5)) => xsd_integer(B14_44_5))
% 196.44/46.73
% 196.44/46.73 [1844] BETA_IMPLY : ((=(B14_44_5, B14_44_5) & xsd_integer(B14_44_5)) => xsd_integer(B14_44_5))
% 196.44/46.73 -> [1845] ~(=(B14_44_5, B14_44_5) & xsd_integer(B14_44_5))
% 196.44/46.73 -> [1846] xsd_integer(B14_44_5)
% 196.44/46.73
% 196.44/46.73 [1845] BETA_NOT_AND : ~(=(B14_44_5, B14_44_5) & xsd_integer(B14_44_5))
% 196.44/46.73 -> [1854] ~=(B14_44_5, B14_44_5)
% 196.44/46.73 -> [1855] ~xsd_integer(B14_44_5)
% 196.44/46.73
% 196.44/46.73 [1854] CLOSURE : ~=(B14_44_5, B14_44_5)
% 196.44/46.73
% 196.44/46.73 [1855] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1912] ((=(B16_79_6, B16_79_6) & xsd_string(B16_79_6)) => xsd_string(B16_79_6))
% 196.44/46.73
% 196.44/46.73 [1912] BETA_IMPLY : ((=(B16_79_6, B16_79_6) & xsd_string(B16_79_6)) => xsd_string(B16_79_6))
% 196.44/46.73 -> [1913] ~(=(B16_79_6, B16_79_6) & xsd_string(B16_79_6))
% 196.44/46.73 -> [1914] xsd_string(B16_79_6)
% 196.44/46.73
% 196.44/46.73 [1914] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1946] (cowlThing(X17_138_7) & ~cowlNothing(X17_138_7))
% 196.44/46.73
% 196.44/46.73 [1946] ALPHA_AND : (cowlThing(X17_138_7) & ~cowlNothing(X17_138_7))
% 196.44/46.73 -> [1947] cowlThing(X17_138_7), ~cowlNothing(X17_138_7)
% 196.44/46.73
% 196.44/46.73 [1947] CLOSURE : ~cowlNothing(X17_138_7)
% 196.44/46.73
% 196.44/46.73 [1913] BETA_NOT_AND : ~(=(B16_79_6, B16_79_6) & xsd_string(B16_79_6))
% 196.44/46.73 -> [1931] ~=(B16_79_6, B16_79_6)
% 196.44/46.73 -> [1932] ~xsd_string(B16_79_6)
% 196.44/46.73
% 196.44/46.73 [1931] CLOSURE : ~=(B16_79_6, B16_79_6)
% 196.44/46.73
% 196.44/46.73 [1932] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1948] (cowlThing(X17_139_7) & ~cowlNothing(X17_139_7))
% 196.44/46.73
% 196.44/46.73 [1948] ALPHA_AND : (cowlThing(X17_139_7) & ~cowlNothing(X17_139_7))
% 196.44/46.73 -> [1949] cowlThing(X17_139_7), ~cowlNothing(X17_139_7)
% 196.44/46.73
% 196.44/46.73 [1949] CLOSURE : ~cowlNothing(X17_139_7)
% 196.44/46.73
% 196.44/46.73 [1846] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1873] ((=(B16_74_6, B16_74_6) & xsd_string(B16_74_6)) => xsd_string(B16_74_6))
% 196.44/46.73
% 196.44/46.73 [1873] BETA_IMPLY : ((=(B16_74_6, B16_74_6) & xsd_string(B16_74_6)) => xsd_string(B16_74_6))
% 196.44/46.73 -> [1874] ~(=(B16_74_6, B16_74_6) & xsd_string(B16_74_6))
% 196.44/46.73 -> [1875] xsd_string(B16_74_6)
% 196.44/46.73
% 196.44/46.73 [1875] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1919] (cowlThing(X17_131_7) & ~cowlNothing(X17_131_7))
% 196.44/46.73
% 196.44/46.73 [1919] ALPHA_AND : (cowlThing(X17_131_7) & ~cowlNothing(X17_131_7))
% 196.44/46.73 -> [1921] cowlThing(X17_131_7), ~cowlNothing(X17_131_7)
% 196.44/46.73
% 196.44/46.73 [1921] CLOSURE : ~cowlNothing(X17_131_7)
% 196.44/46.73
% 196.44/46.73 [1874] BETA_NOT_AND : ~(=(B16_74_6, B16_74_6) & xsd_string(B16_74_6))
% 196.44/46.73 -> [1896] ~=(B16_74_6, B16_74_6)
% 196.44/46.73 -> [1897] ~xsd_string(B16_74_6)
% 196.44/46.73
% 196.44/46.73 [1896] CLOSURE : ~=(B16_74_6, B16_74_6)
% 196.44/46.73
% 196.44/46.73 [1897] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1936] (cowlThing(X17_136_7) & ~cowlNothing(X17_136_7))
% 196.44/46.73
% 196.44/46.73 [1936] ALPHA_AND : (cowlThing(X17_136_7) & ~cowlNothing(X17_136_7))
% 196.44/46.73 -> [1953] cowlThing(X17_136_7), ~cowlNothing(X17_136_7)
% 196.44/46.73
% 196.44/46.73 [1953] CLOSURE : ~cowlNothing(X17_136_7)
% 196.44/46.73
% 196.44/46.73 [756] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [773] ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [773] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73 -> [774] ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [775] cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [774] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [1384] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [1385] ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1385] CLOSURE : ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1384] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [775] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [1828] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.73
% 196.44/46.73 [1828] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.73 -> [1829] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.73 -> [1830] cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [1829] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.73 -> [1839] ~=(ib, ib)
% 196.44/46.73 -> [1840] ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [1839] CLOSURE : ~=(ib, ib)
% 196.44/46.73
% 196.44/46.73 [1840] CLOSURE : ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [1830] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [1848] ((=(B14_45_5, B14_45_5) & xsd_integer(B14_45_5)) => xsd_integer(B14_45_5))
% 196.44/46.73
% 196.44/46.73 [1848] BETA_IMPLY : ((=(B14_45_5, B14_45_5) & xsd_integer(B14_45_5)) => xsd_integer(B14_45_5))
% 196.44/46.73 -> [1849] ~(=(B14_45_5, B14_45_5) & xsd_integer(B14_45_5))
% 196.44/46.73 -> [1850] xsd_integer(B14_45_5)
% 196.44/46.73
% 196.44/46.73 [1849] BETA_NOT_AND : ~(=(B14_45_5, B14_45_5) & xsd_integer(B14_45_5))
% 196.44/46.73 -> [1864] ~=(B14_45_5, B14_45_5)
% 196.44/46.73 -> [1865] ~xsd_integer(B14_45_5)
% 196.44/46.73
% 196.44/46.73 [1864] CLOSURE : ~=(B14_45_5, B14_45_5)
% 196.44/46.73
% 196.44/46.73 [1865] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1903] ((=(B16_77_6, B16_77_6) & xsd_string(B16_77_6)) => xsd_string(B16_77_6))
% 196.44/46.73
% 196.44/46.73 [1903] BETA_IMPLY : ((=(B16_77_6, B16_77_6) & xsd_string(B16_77_6)) => xsd_string(B16_77_6))
% 196.44/46.73 -> [1904] ~(=(B16_77_6, B16_77_6) & xsd_string(B16_77_6))
% 196.44/46.73 -> [1905] xsd_string(B16_77_6)
% 196.44/46.73
% 196.44/46.73 [1904] BETA_NOT_AND : ~(=(B16_77_6, B16_77_6) & xsd_string(B16_77_6))
% 196.44/46.73 -> [1910] ~=(B16_77_6, B16_77_6)
% 196.44/46.73 -> [1911] ~xsd_string(B16_77_6)
% 196.44/46.73
% 196.44/46.73 [1910] CLOSURE : ~=(B16_77_6, B16_77_6)
% 196.44/46.73
% 196.44/46.73 [1911] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1926] (cowlThing(X17_134_7) & ~cowlNothing(X17_134_7))
% 196.44/46.73
% 196.44/46.73 [1926] ALPHA_AND : (cowlThing(X17_134_7) & ~cowlNothing(X17_134_7))
% 196.44/46.73 -> [1928] cowlThing(X17_134_7), ~cowlNothing(X17_134_7)
% 196.44/46.73
% 196.44/46.73 [1928] CLOSURE : ~cowlNothing(X17_134_7)
% 196.44/46.73
% 196.44/46.73 [1905] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1924] (cowlThing(X17_132_7) & ~cowlNothing(X17_132_7))
% 196.44/46.73
% 196.44/46.73 [1924] ALPHA_AND : (cowlThing(X17_132_7) & ~cowlNothing(X17_132_7))
% 196.44/46.73 -> [1933] cowlThing(X17_132_7), ~cowlNothing(X17_132_7)
% 196.44/46.73
% 196.44/46.73 [1933] CLOSURE : ~cowlNothing(X17_132_7)
% 196.44/46.73
% 196.44/46.73 [1850] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1885] ((=(B16_76_6, B16_76_6) & xsd_string(B16_76_6)) => xsd_string(B16_76_6))
% 196.44/46.73
% 196.44/46.73 [1885] BETA_IMPLY : ((=(B16_76_6, B16_76_6) & xsd_string(B16_76_6)) => xsd_string(B16_76_6))
% 196.44/46.73 -> [1886] ~(=(B16_76_6, B16_76_6) & xsd_string(B16_76_6))
% 196.44/46.73 -> [1887] xsd_string(B16_76_6)
% 196.44/46.73
% 196.44/46.73 [1887] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1915] (cowlThing(X17_130_7) & ~cowlNothing(X17_130_7))
% 196.44/46.73
% 196.44/46.73 [1915] ALPHA_AND : (cowlThing(X17_130_7) & ~cowlNothing(X17_130_7))
% 196.44/46.73 -> [1916] cowlThing(X17_130_7), ~cowlNothing(X17_130_7)
% 196.44/46.73
% 196.44/46.73 [1916] CLOSURE : ~cowlNothing(X17_130_7)
% 196.44/46.73
% 196.44/46.73 [1886] BETA_NOT_AND : ~(=(B16_76_6, B16_76_6) & xsd_string(B16_76_6))
% 196.44/46.73 -> [1901] ~=(B16_76_6, B16_76_6)
% 196.44/46.73 -> [1902] ~xsd_string(B16_76_6)
% 196.44/46.73
% 196.44/46.73 [1901] CLOSURE : ~=(B16_76_6, B16_76_6)
% 196.44/46.73
% 196.44/46.73 [1902] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1954] (cowlThing(X17_140_7) & ~cowlNothing(X17_140_7))
% 196.44/46.73
% 196.44/46.73 [1954] ALPHA_AND : (cowlThing(X17_140_7) & ~cowlNothing(X17_140_7))
% 196.44/46.73 -> [1955] cowlThing(X17_140_7), ~cowlNothing(X17_140_7)
% 196.44/46.73
% 196.44/46.73 [1955] CLOSURE : ~cowlNothing(X17_140_7)
% 196.44/46.73
% 196.44/46.73 [582] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [699] ((=(B8_17_2, B8_17_2) & cB(B8_17_2)) => cB(B8_17_2))
% 196.44/46.73
% 196.44/46.73 [699] BETA_IMPLY : ((=(B8_17_2, B8_17_2) & cB(B8_17_2)) => cB(B8_17_2))
% 196.44/46.73 -> [700] ~(=(B8_17_2, B8_17_2) & cB(B8_17_2))
% 196.44/46.73 -> [701] cB(B8_17_2)
% 196.44/46.73
% 196.44/46.73 [700] BETA_NOT_AND : ~(=(B8_17_2, B8_17_2) & cB(B8_17_2))
% 196.44/46.73 -> [785] ~=(B8_17_2, B8_17_2)
% 196.44/46.73 -> [786] ~cB(B8_17_2)
% 196.44/46.73
% 196.44/46.73 [786] CLOSURE : ~cB(B8_17_2)
% 196.44/46.73
% 196.44/46.73 [785] CLOSURE : ~=(B8_17_2, B8_17_2)
% 196.44/46.73
% 196.44/46.73 [701] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [809] ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [809] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73 -> [810] ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [811] cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [810] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [1126] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [1127] ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1126] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1127] CLOSURE : ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [811] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [1147] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.73
% 196.44/46.73 [1147] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.73 -> [1148] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.73 -> [1149] cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1148] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.73 -> [1168] ~=(ia, ia)
% 196.44/46.73 -> [1169] ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1169] CLOSURE : ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1168] CLOSURE : ~=(ia, ia)
% 196.44/46.73
% 196.44/46.73 [1149] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [1182] ((=(B14_28_5, B14_28_5) & xsd_integer(B14_28_5)) => xsd_integer(B14_28_5))
% 196.44/46.73
% 196.44/46.73 [1182] BETA_IMPLY : ((=(B14_28_5, B14_28_5) & xsd_integer(B14_28_5)) => xsd_integer(B14_28_5))
% 196.44/46.73 -> [1183] ~(=(B14_28_5, B14_28_5) & xsd_integer(B14_28_5))
% 196.44/46.73 -> [1184] xsd_integer(B14_28_5)
% 196.44/46.73
% 196.44/46.73 [1184] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1212] ((=(B16_44_6, B16_44_6) & xsd_string(B16_44_6)) => xsd_string(B16_44_6))
% 196.44/46.73
% 196.44/46.73 [1212] BETA_IMPLY : ((=(B16_44_6, B16_44_6) & xsd_string(B16_44_6)) => xsd_string(B16_44_6))
% 196.44/46.73 -> [1213] ~(=(B16_44_6, B16_44_6) & xsd_string(B16_44_6))
% 196.44/46.73 -> [1214] xsd_string(B16_44_6)
% 196.44/46.73
% 196.44/46.73 [1213] BETA_NOT_AND : ~(=(B16_44_6, B16_44_6) & xsd_string(B16_44_6))
% 196.44/46.73 -> [1223] ~=(B16_44_6, B16_44_6)
% 196.44/46.73 -> [1224] ~xsd_string(B16_44_6)
% 196.44/46.73
% 196.44/46.73 [1224] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1239] (cowlThing(X17_63_7) & ~cowlNothing(X17_63_7))
% 196.44/46.73
% 196.44/46.73 [1239] ALPHA_AND : (cowlThing(X17_63_7) & ~cowlNothing(X17_63_7))
% 196.44/46.73 -> [1240] cowlThing(X17_63_7), ~cowlNothing(X17_63_7)
% 196.44/46.73
% 196.44/46.73 [1240] CLOSURE : ~cowlNothing(X17_63_7)
% 196.44/46.73
% 196.44/46.73 [1223] CLOSURE : ~=(B16_44_6, B16_44_6)
% 196.44/46.73
% 196.44/46.73 [1214] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2004] (cowlThing(X17_147_7) & ~cowlNothing(X17_147_7))
% 196.44/46.73
% 196.44/46.73 [2004] ALPHA_AND : (cowlThing(X17_147_7) & ~cowlNothing(X17_147_7))
% 196.44/46.73 -> [2006] cowlThing(X17_147_7), ~cowlNothing(X17_147_7)
% 196.44/46.73
% 196.44/46.73 [2006] CLOSURE : ~cowlNothing(X17_147_7)
% 196.44/46.73
% 196.44/46.73 [1183] BETA_NOT_AND : ~(=(B14_28_5, B14_28_5) & xsd_integer(B14_28_5))
% 196.44/46.73 -> [1205] ~=(B14_28_5, B14_28_5)
% 196.44/46.73 -> [1206] ~xsd_integer(B14_28_5)
% 196.44/46.73
% 196.44/46.73 [1205] CLOSURE : ~=(B14_28_5, B14_28_5)
% 196.44/46.73
% 196.44/46.73 [1206] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [2017] ((=(B16_83_6, B16_83_6) & xsd_string(B16_83_6)) => xsd_string(B16_83_6))
% 196.44/46.73
% 196.44/46.73 [2017] BETA_IMPLY : ((=(B16_83_6, B16_83_6) & xsd_string(B16_83_6)) => xsd_string(B16_83_6))
% 196.44/46.73 -> [2018] ~(=(B16_83_6, B16_83_6) & xsd_string(B16_83_6))
% 196.44/46.73 -> [2019] xsd_string(B16_83_6)
% 196.44/46.73
% 196.44/46.73 [2019] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2032] (cowlThing(X17_150_7) & ~cowlNothing(X17_150_7))
% 196.44/46.73
% 196.44/46.73 [2032] ALPHA_AND : (cowlThing(X17_150_7) & ~cowlNothing(X17_150_7))
% 196.44/46.73 -> [2033] cowlThing(X17_150_7), ~cowlNothing(X17_150_7)
% 196.44/46.73
% 196.44/46.73 [2033] CLOSURE : ~cowlNothing(X17_150_7)
% 196.44/46.73
% 196.44/46.73 [2018] BETA_NOT_AND : ~(=(B16_83_6, B16_83_6) & xsd_string(B16_83_6))
% 196.44/46.73 -> [2025] ~=(B16_83_6, B16_83_6)
% 196.44/46.73 -> [2026] ~xsd_string(B16_83_6)
% 196.44/46.73
% 196.44/46.73 [2025] CLOSURE : ~=(B16_83_6, B16_83_6)
% 196.44/46.73
% 196.44/46.73 [2026] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2042] (cowlThing(X17_151_7) & ~cowlNothing(X17_151_7))
% 196.44/46.73
% 196.44/46.73 [2042] ALPHA_AND : (cowlThing(X17_151_7) & ~cowlNothing(X17_151_7))
% 196.44/46.73 -> [2043] cowlThing(X17_151_7), ~cowlNothing(X17_151_7)
% 196.44/46.73
% 196.44/46.73 [2043] CLOSURE : ~cowlNothing(X17_151_7)
% 196.44/46.73
% 196.44/46.73 [38] BETA_NOT_AND : ~(=(B4_2_0, B4_2_0) & cA(B4_2_0))
% 196.44/46.73 -> [46] ~=(B4_2_0, B4_2_0)
% 196.44/46.73 -> [47] ~cA(B4_2_0)
% 196.44/46.73
% 196.44/46.73 [46] CLOSURE : ~=(B4_2_0, B4_2_0)
% 196.44/46.73
% 196.44/46.73 [47] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.73 -> [93] ((=(B6_6_1, B6_6_1) & cA_and_B(B6_6_1)) => cA_and_B(B6_6_1))
% 196.44/46.73
% 196.44/46.73 [93] BETA_IMPLY : ((=(B6_6_1, B6_6_1) & cA_and_B(B6_6_1)) => cA_and_B(B6_6_1))
% 196.44/46.73 -> [94] ~(=(B6_6_1, B6_6_1) & cA_and_B(B6_6_1))
% 196.44/46.73 -> [95] cA_and_B(B6_6_1)
% 196.44/46.73
% 196.44/46.73 [94] BETA_NOT_AND : ~(=(B6_6_1, B6_6_1) & cA_and_B(B6_6_1))
% 196.44/46.73 -> [109] ~=(B6_6_1, B6_6_1)
% 196.44/46.73 -> [110] ~cA_and_B(B6_6_1)
% 196.44/46.73
% 196.44/46.73 [109] CLOSURE : ~=(B6_6_1, B6_6_1)
% 196.44/46.73
% 196.44/46.73 [110] Rewrite : ~cA_and_B(B6_6_1)
% 196.44/46.73 -> [498] ~(cA(B6_6_1) | cB(B6_6_1))
% 196.44/46.73
% 196.44/46.73 [498] ALPHA_NOT_OR : ~(cA(B8_15_2) | cB(B8_15_2))
% 196.44/46.73 -> [499] ~cA(B8_15_2), ~cB(B8_15_2)
% 196.44/46.73
% 196.44/46.73 [499] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [555] ((=(B8_15_2, B8_15_2) & cB(B8_15_2)) => cB(B8_15_2))
% 196.44/46.73
% 196.44/46.73 [555] BETA_IMPLY : ((=(B8_15_2, B8_15_2) & cB(B8_15_2)) => cB(B8_15_2))
% 196.44/46.73 -> [558] ~(=(B8_15_2, B8_15_2) & cB(B8_15_2))
% 196.44/46.73 -> [559] cB(B8_15_2)
% 196.44/46.73
% 196.44/46.73 [559] CLOSURE : cB(B8_15_2)
% 196.44/46.73
% 196.44/46.73 [558] BETA_NOT_AND : ~(=(B8_15_2, B8_15_2) & cB(B8_15_2))
% 196.44/46.73 -> [2100] ~=(B8_15_2, B8_15_2)
% 196.44/46.73 -> [2101] ~cB(B8_15_2)
% 196.44/46.73
% 196.44/46.73 [2100] CLOSURE : ~=(B8_15_2, B8_15_2)
% 196.44/46.73
% 196.44/46.73 [2101] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [2112] ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [2112] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73 -> [2113] ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [2114] cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2113] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [2128] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [2129] ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2128] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2129] CLOSURE : ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2114] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [2142] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.73
% 196.44/46.73 [2142] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.73 -> [2143] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.73 -> [2144] cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [2144] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [2179] ((=(B14_50_5, B14_50_5) & xsd_integer(B14_50_5)) => xsd_integer(B14_50_5))
% 196.44/46.73
% 196.44/46.73 [2179] BETA_IMPLY : ((=(B14_50_5, B14_50_5) & xsd_integer(B14_50_5)) => xsd_integer(B14_50_5))
% 196.44/46.73 -> [2180] ~(=(B14_50_5, B14_50_5) & xsd_integer(B14_50_5))
% 196.44/46.73 -> [2181] xsd_integer(B14_50_5)
% 196.44/46.73
% 196.44/46.73 [2180] BETA_NOT_AND : ~(=(B14_50_5, B14_50_5) & xsd_integer(B14_50_5))
% 196.44/46.73 -> [2187] ~=(B14_50_5, B14_50_5)
% 196.44/46.73 -> [2188] ~xsd_integer(B14_50_5)
% 196.44/46.73
% 196.44/46.73 [2187] CLOSURE : ~=(B14_50_5, B14_50_5)
% 196.44/46.73
% 196.44/46.73 [2188] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [2209] ((=(B16_91_6, B16_91_6) & xsd_string(B16_91_6)) => xsd_string(B16_91_6))
% 196.44/46.73
% 196.44/46.73 [2209] BETA_IMPLY : ((=(B16_91_6, B16_91_6) & xsd_string(B16_91_6)) => xsd_string(B16_91_6))
% 196.44/46.73 -> [2210] ~(=(B16_91_6, B16_91_6) & xsd_string(B16_91_6))
% 196.44/46.73 -> [2211] xsd_string(B16_91_6)
% 196.44/46.73
% 196.44/46.73 [2211] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2229] (cowlThing(X17_171_7) & ~cowlNothing(X17_171_7))
% 196.44/46.73
% 196.44/46.73 [2229] ALPHA_AND : (cowlThing(X17_171_7) & ~cowlNothing(X17_171_7))
% 196.44/46.73 -> [2230] cowlThing(X17_171_7), ~cowlNothing(X17_171_7)
% 196.44/46.73
% 196.44/46.73 [2230] CLOSURE : ~cowlNothing(X17_171_7)
% 196.44/46.73
% 196.44/46.73 [2210] BETA_NOT_AND : ~(=(B16_91_6, B16_91_6) & xsd_string(B16_91_6))
% 196.44/46.73 -> [2215] ~=(B16_91_6, B16_91_6)
% 196.44/46.73 -> [2216] ~xsd_string(B16_91_6)
% 196.44/46.73
% 196.44/46.73 [2216] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2225] (cowlThing(X17_169_7) & ~cowlNothing(X17_169_7))
% 196.44/46.73
% 196.44/46.73 [2225] ALPHA_AND : (cowlThing(X17_169_7) & ~cowlNothing(X17_169_7))
% 196.44/46.73 -> [2226] cowlThing(X17_169_7), ~cowlNothing(X17_169_7)
% 196.44/46.73
% 196.44/46.73 [2226] CLOSURE : ~cowlNothing(X17_169_7)
% 196.44/46.73
% 196.44/46.73 [2215] CLOSURE : ~=(B16_91_6, B16_91_6)
% 196.44/46.73
% 196.44/46.73 [2181] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [2203] ((=(B16_90_6, B16_90_6) & xsd_string(B16_90_6)) => xsd_string(B16_90_6))
% 196.44/46.73
% 196.44/46.73 [2203] BETA_IMPLY : ((=(B16_90_6, B16_90_6) & xsd_string(B16_90_6)) => xsd_string(B16_90_6))
% 196.44/46.73 -> [2205] ~(=(B16_90_6, B16_90_6) & xsd_string(B16_90_6))
% 196.44/46.73 -> [2206] xsd_string(B16_90_6)
% 196.44/46.73
% 196.44/46.73 [2206] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2322] (cowlThing(X17_177_7) & ~cowlNothing(X17_177_7))
% 196.44/46.73
% 196.44/46.73 [2322] ALPHA_AND : (cowlThing(X17_177_7) & ~cowlNothing(X17_177_7))
% 196.44/46.73 -> [2323] cowlThing(X17_177_7), ~cowlNothing(X17_177_7)
% 196.44/46.73
% 196.44/46.73 [2323] CLOSURE : ~cowlNothing(X17_177_7)
% 196.44/46.73
% 196.44/46.73 [2205] BETA_NOT_AND : ~(=(B16_90_6, B16_90_6) & xsd_string(B16_90_6))
% 196.44/46.73 -> [2308] ~=(B16_90_6, B16_90_6)
% 196.44/46.73 -> [2309] ~xsd_string(B16_90_6)
% 196.44/46.73
% 196.44/46.73 [2308] CLOSURE : ~=(B16_90_6, B16_90_6)
% 196.44/46.73
% 196.44/46.73 [2309] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2331] (cowlThing(X17_178_7) & ~cowlNothing(X17_178_7))
% 196.44/46.73
% 196.44/46.73 [2331] ALPHA_AND : (cowlThing(X17_178_7) & ~cowlNothing(X17_178_7))
% 196.44/46.73 -> [2332] cowlThing(X17_178_7), ~cowlNothing(X17_178_7)
% 196.44/46.73
% 196.44/46.73 [2332] CLOSURE : ~cowlNothing(X17_178_7)
% 196.44/46.73
% 196.44/46.73 [2143] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.73 -> [2168] ~=(ia, ia)
% 196.44/46.73 -> [2169] ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [2169] CLOSURE : ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [2168] CLOSURE : ~=(ia, ia)
% 196.44/46.73
% 196.44/46.73 [95] BETA_OR : (cA(B6_6_1) | cB(B6_6_1))
% 196.44/46.73 -> [2354] cA(B6_6_1)
% 196.44/46.73 -> [2355] cB(B6_6_1)
% 196.44/46.73
% 196.44/46.73 [2354] CLOSURE : cA(B6_6_1)
% 196.44/46.73
% 196.44/46.73 [2355] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [2367] ((=(B8_24_2, B8_24_2) & cB(B8_24_2)) => cB(B8_24_2))
% 196.44/46.73
% 196.44/46.73 [2367] BETA_IMPLY : ((=(B8_24_2, B8_24_2) & cB(B8_24_2)) => cB(B8_24_2))
% 196.44/46.73 -> [2368] ~(=(B8_24_2, B8_24_2) & cB(B8_24_2))
% 196.44/46.73 -> [2369] cB(B8_24_2)
% 196.44/46.73
% 196.44/46.73 [2368] BETA_NOT_AND : ~(=(B8_24_2, B8_24_2) & cB(B8_24_2))
% 196.44/46.73 -> [2374] ~=(B8_24_2, B8_24_2)
% 196.44/46.73 -> [2375] ~cB(B8_24_2)
% 196.44/46.73
% 196.44/46.73 [2375] CLOSURE : ~cB(B8_24_2)
% 196.44/46.73
% 196.44/46.73 [2374] CLOSURE : ~=(B8_24_2, B8_24_2)
% 196.44/46.73
% 196.44/46.73 [2369] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [2392] ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [2392] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222)) => cowlNothing(skolem_X2222))
% 196.44/46.73 -> [2394] ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [2395] cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2394] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlNothing(skolem_X2222))
% 196.44/46.73 -> [2403] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [2404] ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2404] CLOSURE : ~cowlNothing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2403] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [2395] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [2421] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.73
% 196.44/46.73 [2421] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.73 -> [2422] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.73 -> [2423] cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [2422] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.73 -> [2427] ~=(ib, ib)
% 196.44/46.73 -> [2428] ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [2428] CLOSURE : ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [2427] CLOSURE : ~=(ib, ib)
% 196.44/46.73
% 196.44/46.73 [2423] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [2433] ((=(B14_56_5, B14_56_5) & xsd_integer(B14_56_5)) => xsd_integer(B14_56_5))
% 196.44/46.73
% 196.44/46.73 [2433] BETA_IMPLY : ((=(B14_56_5, B14_56_5) & xsd_integer(B14_56_5)) => xsd_integer(B14_56_5))
% 196.44/46.73 -> [2435] ~(=(B14_56_5, B14_56_5) & xsd_integer(B14_56_5))
% 196.44/46.73 -> [2436] xsd_integer(B14_56_5)
% 196.44/46.73
% 196.44/46.73 [2436] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [2448] ((=(B16_102_6, B16_102_6) & xsd_string(B16_102_6)) => xsd_string(B16_102_6))
% 196.44/46.73
% 196.44/46.73 [2448] BETA_IMPLY : ((=(B16_102_6, B16_102_6) & xsd_string(B16_102_6)) => xsd_string(B16_102_6))
% 196.44/46.73 -> [2449] ~(=(B16_102_6, B16_102_6) & xsd_string(B16_102_6))
% 196.44/46.73 -> [2450] xsd_string(B16_102_6)
% 196.44/46.73
% 196.44/46.73 [2449] BETA_NOT_AND : ~(=(B16_102_6, B16_102_6) & xsd_string(B16_102_6))
% 196.44/46.73 -> [2456] ~=(B16_102_6, B16_102_6)
% 196.44/46.73 -> [2457] ~xsd_string(B16_102_6)
% 196.44/46.73
% 196.44/46.73 [2456] CLOSURE : ~=(B16_102_6, B16_102_6)
% 196.44/46.73
% 196.44/46.73 [2457] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2468] (cowlThing(X17_193_7) & ~cowlNothing(X17_193_7))
% 196.44/46.73
% 196.44/46.73 [2468] ALPHA_AND : (cowlThing(X17_193_7) & ~cowlNothing(X17_193_7))
% 196.44/46.73 -> [2469] cowlThing(X17_193_7), ~cowlNothing(X17_193_7)
% 196.44/46.73
% 196.44/46.73 [2469] CLOSURE : ~cowlNothing(X17_193_7)
% 196.44/46.73
% 196.44/46.73 [2450] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2475] (cowlThing(X17_194_7) & ~cowlNothing(X17_194_7))
% 196.44/46.73
% 196.44/46.73 [2475] ALPHA_AND : (cowlThing(X17_194_7) & ~cowlNothing(X17_194_7))
% 196.44/46.73 -> [2476] cowlThing(X17_194_7), ~cowlNothing(X17_194_7)
% 196.44/46.73
% 196.44/46.73 [2476] CLOSURE : ~cowlNothing(X17_194_7)
% 196.44/46.73
% 196.44/46.73 [2435] BETA_NOT_AND : ~(=(B14_56_5, B14_56_5) & xsd_integer(B14_56_5))
% 196.44/46.73 -> [2441] ~=(B14_56_5, B14_56_5)
% 196.44/46.73 -> [2442] ~xsd_integer(B14_56_5)
% 196.44/46.73
% 196.44/46.73 [2441] CLOSURE : ~=(B14_56_5, B14_56_5)
% 196.44/46.73
% 196.44/46.73 [2442] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [2458] ((=(B16_103_6, B16_103_6) & xsd_string(B16_103_6)) => xsd_string(B16_103_6))
% 196.44/46.73
% 196.44/46.73 [2458] BETA_IMPLY : ((=(B16_103_6, B16_103_6) & xsd_string(B16_103_6)) => xsd_string(B16_103_6))
% 196.44/46.73 -> [2459] ~(=(B16_103_6, B16_103_6) & xsd_string(B16_103_6))
% 196.44/46.73 -> [2460] xsd_string(B16_103_6)
% 196.44/46.73
% 196.44/46.73 [2459] BETA_NOT_AND : ~(=(B16_103_6, B16_103_6) & xsd_string(B16_103_6))
% 196.44/46.73 -> [2461] ~=(B16_103_6, B16_103_6)
% 196.44/46.73 -> [2462] ~xsd_string(B16_103_6)
% 196.44/46.73
% 196.44/46.73 [2461] CLOSURE : ~=(B16_103_6, B16_103_6)
% 196.44/46.73
% 196.44/46.73 [2462] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2485] (cowlThing(X17_195_7) & ~cowlNothing(X17_195_7))
% 196.44/46.73
% 196.44/46.73 [2485] ALPHA_AND : (cowlThing(X17_195_7) & ~cowlNothing(X17_195_7))
% 196.44/46.73 -> [2486] cowlThing(X17_195_7), ~cowlNothing(X17_195_7)
% 196.44/46.73
% 196.44/46.73 [2486] CLOSURE : ~cowlNothing(X17_195_7)
% 196.44/46.73
% 196.44/46.73 [2460] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2491] (cowlThing(X17_196_7) & ~cowlNothing(X17_196_7))
% 196.44/46.73
% 196.44/46.73 [2491] ALPHA_AND : (cowlThing(X17_196_7) & ~cowlNothing(X17_196_7))
% 196.44/46.73 -> [2492] cowlThing(X17_196_7), ~cowlNothing(X17_196_7)
% 196.44/46.73
% 196.44/46.73 [2492] CLOSURE : ~cowlNothing(X17_196_7)
% 196.44/46.73
% 196.44/46.73 [17] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.73 -> [31] ((=(B4_1_0, B4_1_0) & cA(B4_1_0)) => cA(B4_1_0))
% 196.44/46.73
% 196.44/46.73 [31] BETA_IMPLY : ((=(B4_1_0, B4_1_0) & cA(B4_1_0)) => cA(B4_1_0))
% 196.44/46.73 -> [32] ~(=(B4_1_0, B4_1_0) & cA(B4_1_0))
% 196.44/46.73 -> [33] cA(B4_1_0)
% 196.44/46.73
% 196.44/46.73 [33] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.73 -> [52] ((=(B6_2_1, B6_2_1) & cA_and_B(B6_2_1)) => cA_and_B(B6_2_1))
% 196.44/46.73
% 196.44/46.73 [52] BETA_IMPLY : ((=(B6_2_1, B6_2_1) & cA_and_B(B6_2_1)) => cA_and_B(B6_2_1))
% 196.44/46.73 -> [55] ~(=(B6_2_1, B6_2_1) & cA_and_B(B6_2_1))
% 196.44/46.73 -> [56] cA_and_B(B6_2_1)
% 196.44/46.73
% 196.44/46.73 [55] BETA_NOT_AND : ~(=(B6_2_1, B6_2_1) & cA_and_B(B6_2_1))
% 196.44/46.73 -> [129] ~=(B6_2_1, B6_2_1)
% 196.44/46.73 -> [130] ~cA_and_B(B6_2_1)
% 196.44/46.73
% 196.44/46.73 [130] Rewrite : ~cA_and_B(B6_2_1)
% 196.44/46.73 -> [157] ~(cA(B6_2_1) | cB(B6_2_1))
% 196.44/46.73
% 196.44/46.73 [157] ALPHA_NOT_OR : ~(cA(B6_2_1) | cB(B6_2_1))
% 196.44/46.73 -> [164] ~cA(B6_2_1), ~cB(B6_2_1)
% 196.44/46.73
% 196.44/46.73 [164] CLOSURE : ~cA(B6_2_1)
% 196.44/46.73
% 196.44/46.73 [129] CLOSURE : ~=(B6_2_1, B6_2_1)
% 196.44/46.73
% 196.44/46.73 [56] Rewrite : cA_and_B(B6_2_1)
% 196.44/46.73 -> [80] (cA(B6_2_1) | cB(B6_2_1))
% 196.44/46.73
% 196.44/46.73 [80] BETA_OR : (cA(B6_2_1) | cB(B6_2_1))
% 196.44/46.73 -> [83] cA(B6_2_1)
% 196.44/46.73 -> [84] cB(B6_2_1)
% 196.44/46.73
% 196.44/46.73 [84] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [96] ((=(B8_1_2, B8_1_2) & cB(B8_1_2)) => cB(B8_1_2))
% 196.44/46.73
% 196.44/46.73 [96] BETA_IMPLY : ((=(B8_1_2, B8_1_2) & cB(B8_1_2)) => cB(B8_1_2))
% 196.44/46.73 -> [103] ~(=(B8_1_2, B8_1_2) & cB(B8_1_2))
% 196.44/46.73 -> [104] cB(B8_1_2)
% 196.44/46.73
% 196.44/46.73 [103] BETA_NOT_AND : ~(=(B8_1_2, B8_1_2) & cB(B8_1_2))
% 196.44/46.73 -> [306] ~=(B8_1_2, B8_1_2)
% 196.44/46.73 -> [307] ~cB(B8_1_2)
% 196.44/46.73
% 196.44/46.73 [307] CLOSURE : ~cB(B8_1_2)
% 196.44/46.73
% 196.44/46.73 [306] CLOSURE : ~=(B8_1_2, B8_1_2)
% 196.44/46.73
% 196.44/46.73 [104] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [276] ((=(B10_7_3, B10_7_3) & cowlNothing(B10_7_3)) => cowlNothing(B10_7_3))
% 196.44/46.73
% 196.44/46.73 [276] BETA_IMPLY : ((=(B10_7_3, B10_7_3) & cowlNothing(B10_7_3)) => cowlNothing(B10_7_3))
% 196.44/46.73 -> [277] ~(=(B10_7_3, B10_7_3) & cowlNothing(B10_7_3))
% 196.44/46.73 -> [278] cowlNothing(B10_7_3)
% 196.44/46.73
% 196.44/46.73 [278] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [288] ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [288] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [290] ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [291] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [291] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [290] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [783] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [784] ~cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [783] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [784] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [1271] ((=(B14_31_5, B14_31_5) & xsd_integer(B14_31_5)) => xsd_integer(B14_31_5))
% 196.44/46.73
% 196.44/46.73 [1271] BETA_IMPLY : ((=(B14_31_5, B14_31_5) & xsd_integer(B14_31_5)) => xsd_integer(B14_31_5))
% 196.44/46.73 -> [1272] ~(=(B14_31_5, B14_31_5) & xsd_integer(B14_31_5))
% 196.44/46.73 -> [1273] xsd_integer(B14_31_5)
% 196.44/46.73
% 196.44/46.73 [1273] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1288] ((=(B16_47_6, B16_47_6) & xsd_string(B16_47_6)) => xsd_string(B16_47_6))
% 196.44/46.73
% 196.44/46.73 [1288] BETA_IMPLY : ((=(B16_47_6, B16_47_6) & xsd_string(B16_47_6)) => xsd_string(B16_47_6))
% 196.44/46.73 -> [1289] ~(=(B16_47_6, B16_47_6) & xsd_string(B16_47_6))
% 196.44/46.73 -> [1290] xsd_string(B16_47_6)
% 196.44/46.73
% 196.44/46.73 [1290] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1310] (cowlThing(X17_69_7) & ~cowlNothing(X17_69_7))
% 196.44/46.73
% 196.44/46.73 [1310] ALPHA_AND : (cowlThing(X17_69_7) & ~cowlNothing(X17_69_7))
% 196.44/46.73 -> [1311] cowlThing(X17_69_7), ~cowlNothing(X17_69_7)
% 196.44/46.73
% 196.44/46.73 [1311] CLOSURE : cowlThing(X17_69_7)
% 196.44/46.73
% 196.44/46.73 [1289] BETA_NOT_AND : ~(=(B16_47_6, B16_47_6) & xsd_string(B16_47_6))
% 196.44/46.73 -> [1295] ~=(B16_47_6, B16_47_6)
% 196.44/46.73 -> [1296] ~xsd_string(B16_47_6)
% 196.44/46.73
% 196.44/46.73 [1295] CLOSURE : ~=(B16_47_6, B16_47_6)
% 196.44/46.73
% 196.44/46.73 [1296] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1330] (cowlThing(X17_71_7) & ~cowlNothing(X17_71_7))
% 196.44/46.73
% 196.44/46.73 [1330] ALPHA_AND : (cowlThing(X17_71_7) & ~cowlNothing(X17_71_7))
% 196.44/46.73 -> [1331] cowlThing(X17_71_7), ~cowlNothing(X17_71_7)
% 196.44/46.73
% 196.44/46.73 [1331] CLOSURE : cowlThing(X17_71_7)
% 196.44/46.73
% 196.44/46.73 [1272] BETA_NOT_AND : ~(=(B14_31_5, B14_31_5) & xsd_integer(B14_31_5))
% 196.44/46.73 -> [1277] ~=(B14_31_5, B14_31_5)
% 196.44/46.73 -> [1278] ~xsd_integer(B14_31_5)
% 196.44/46.73
% 196.44/46.73 [1277] CLOSURE : ~=(B14_31_5, B14_31_5)
% 196.44/46.73
% 196.44/46.73 [1278] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1299] ((=(B16_48_6, B16_48_6) & xsd_string(B16_48_6)) => xsd_string(B16_48_6))
% 196.44/46.73
% 196.44/46.73 [1299] BETA_IMPLY : ((=(B16_48_6, B16_48_6) & xsd_string(B16_48_6)) => xsd_string(B16_48_6))
% 196.44/46.73 -> [1300] ~(=(B16_48_6, B16_48_6) & xsd_string(B16_48_6))
% 196.44/46.73 -> [1301] xsd_string(B16_48_6)
% 196.44/46.73
% 196.44/46.73 [1301] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1342] (cowlThing(X17_72_7) & ~cowlNothing(X17_72_7))
% 196.44/46.73
% 196.44/46.73 [1342] ALPHA_AND : (cowlThing(X17_72_7) & ~cowlNothing(X17_72_7))
% 196.44/46.73 -> [1343] cowlThing(X17_72_7), ~cowlNothing(X17_72_7)
% 196.44/46.73
% 196.44/46.73 [1343] CLOSURE : cowlThing(X17_72_7)
% 196.44/46.73
% 196.44/46.73 [1300] BETA_NOT_AND : ~(=(B16_48_6, B16_48_6) & xsd_string(B16_48_6))
% 196.44/46.73 -> [1315] ~=(B16_48_6, B16_48_6)
% 196.44/46.73 -> [1316] ~xsd_string(B16_48_6)
% 196.44/46.73
% 196.44/46.73 [1315] CLOSURE : ~=(B16_48_6, B16_48_6)
% 196.44/46.73
% 196.44/46.73 [1316] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1344] (cowlThing(X17_73_7) & ~cowlNothing(X17_73_7))
% 196.44/46.73
% 196.44/46.73 [1344] ALPHA_AND : (cowlThing(X17_73_7) & ~cowlNothing(X17_73_7))
% 196.44/46.73 -> [1346] cowlThing(X17_73_7), ~cowlNothing(X17_73_7)
% 196.44/46.73
% 196.44/46.73 [1346] CLOSURE : cowlThing(X17_73_7)
% 196.44/46.73
% 196.44/46.73 [277] BETA_NOT_AND : ~(=(B10_7_3, B10_7_3) & cowlNothing(B10_7_3))
% 196.44/46.73 -> [281] ~=(B10_7_3, B10_7_3)
% 196.44/46.73 -> [282] ~cowlNothing(B10_7_3)
% 196.44/46.73
% 196.44/46.73 [281] CLOSURE : ~=(B10_7_3, B10_7_3)
% 196.44/46.73
% 196.44/46.73 [282] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [442] ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [442] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [443] ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [444] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [444] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [443] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [479] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [480] ~cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [479] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [480] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [521] ((=(B14_11_5, B14_11_5) & xsd_integer(B14_11_5)) => xsd_integer(B14_11_5))
% 196.44/46.73
% 196.44/46.73 [521] BETA_IMPLY : ((=(B14_11_5, B14_11_5) & xsd_integer(B14_11_5)) => xsd_integer(B14_11_5))
% 196.44/46.73 -> [522] ~(=(B14_11_5, B14_11_5) & xsd_integer(B14_11_5))
% 196.44/46.73 -> [523] xsd_integer(B14_11_5)
% 196.44/46.73
% 196.44/46.73 [522] BETA_NOT_AND : ~(=(B14_11_5, B14_11_5) & xsd_integer(B14_11_5))
% 196.44/46.73 -> [526] ~=(B14_11_5, B14_11_5)
% 196.44/46.73 -> [527] ~xsd_integer(B14_11_5)
% 196.44/46.73
% 196.44/46.73 [526] CLOSURE : ~=(B14_11_5, B14_11_5)
% 196.44/46.73
% 196.44/46.73 [527] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [551] ((=(B16_9_6, B16_9_6) & xsd_string(B16_9_6)) => xsd_string(B16_9_6))
% 196.44/46.73
% 196.44/46.73 [551] BETA_IMPLY : ((=(B16_9_6, B16_9_6) & xsd_string(B16_9_6)) => xsd_string(B16_9_6))
% 196.44/46.73 -> [552] ~(=(B16_9_6, B16_9_6) & xsd_string(B16_9_6))
% 196.44/46.73 -> [553] xsd_string(B16_9_6)
% 196.44/46.73
% 196.44/46.73 [553] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [572] (cowlThing(X17_9_7) & ~cowlNothing(X17_9_7))
% 196.44/46.73
% 196.44/46.73 [572] ALPHA_AND : (cowlThing(X17_9_7) & ~cowlNothing(X17_9_7))
% 196.44/46.73 -> [574] cowlThing(X17_9_7), ~cowlNothing(X17_9_7)
% 196.44/46.73
% 196.44/46.73 [574] CLOSURE : cowlThing(X17_9_7)
% 196.44/46.73
% 196.44/46.73 [552] BETA_NOT_AND : ~(=(B16_9_6, B16_9_6) & xsd_string(B16_9_6))
% 196.44/46.73 -> [560] ~=(B16_9_6, B16_9_6)
% 196.44/46.73 -> [561] ~xsd_string(B16_9_6)
% 196.44/46.73
% 196.44/46.73 [560] CLOSURE : ~=(B16_9_6, B16_9_6)
% 196.44/46.73
% 196.44/46.73 [561] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [583] (cowlThing(X17_10_7) & ~cowlNothing(X17_10_7))
% 196.44/46.73
% 196.44/46.73 [583] ALPHA_AND : (cowlThing(X17_10_7) & ~cowlNothing(X17_10_7))
% 196.44/46.73 -> [584] cowlThing(X17_10_7), ~cowlNothing(X17_10_7)
% 196.44/46.73
% 196.44/46.73 [584] CLOSURE : cowlThing(X17_10_7)
% 196.44/46.73
% 196.44/46.73 [523] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [542] ((=(B16_8_6, B16_8_6) & xsd_string(B16_8_6)) => xsd_string(B16_8_6))
% 196.44/46.73
% 196.44/46.73 [542] BETA_IMPLY : ((=(B16_8_6, B16_8_6) & xsd_string(B16_8_6)) => xsd_string(B16_8_6))
% 196.44/46.73 -> [547] ~(=(B16_8_6, B16_8_6) & xsd_string(B16_8_6))
% 196.44/46.73 -> [548] xsd_string(B16_8_6)
% 196.44/46.73
% 196.44/46.73 [548] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1106] (cowlThing(X17_51_7) & ~cowlNothing(X17_51_7))
% 196.44/46.73
% 196.44/46.73 [1106] ALPHA_AND : (cowlThing(X17_51_7) & ~cowlNothing(X17_51_7))
% 196.44/46.73 -> [1107] cowlThing(X17_51_7), ~cowlNothing(X17_51_7)
% 196.44/46.73
% 196.44/46.73 [1107] CLOSURE : cowlThing(X17_51_7)
% 196.44/46.73
% 196.44/46.73 [547] BETA_NOT_AND : ~(=(B16_8_6, B16_8_6) & xsd_string(B16_8_6))
% 196.44/46.73 -> [549] ~=(B16_8_6, B16_8_6)
% 196.44/46.73 -> [550] ~xsd_string(B16_8_6)
% 196.44/46.73
% 196.44/46.73 [549] CLOSURE : ~=(B16_8_6, B16_8_6)
% 196.44/46.73
% 196.44/46.73 [550] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1070] (cowlThing(X17_49_7) & ~cowlNothing(X17_49_7))
% 196.44/46.73
% 196.44/46.73 [1070] ALPHA_AND : (cowlThing(X17_49_7) & ~cowlNothing(X17_49_7))
% 196.44/46.73 -> [1071] cowlThing(X17_49_7), ~cowlNothing(X17_49_7)
% 196.44/46.73
% 196.44/46.73 [1071] CLOSURE : cowlThing(X17_49_7)
% 196.44/46.73
% 196.44/46.73 [83] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [105] ((=(B8_2_2, B8_2_2) & cB(B8_2_2)) => cB(B8_2_2))
% 196.44/46.73
% 196.44/46.73 [105] BETA_IMPLY : ((=(B8_2_2, B8_2_2) & cB(B8_2_2)) => cB(B8_2_2))
% 196.44/46.73 -> [111] ~(=(B8_2_2, B8_2_2) & cB(B8_2_2))
% 196.44/46.73 -> [112] cB(B8_2_2)
% 196.44/46.73
% 196.44/46.73 [112] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [131] ((=(B10_0_3, B10_0_3) & cowlNothing(B10_0_3)) => cowlNothing(B10_0_3))
% 196.44/46.73
% 196.44/46.73 [131] BETA_IMPLY : ((=(B10_0_3, B10_0_3) & cowlNothing(B10_0_3)) => cowlNothing(B10_0_3))
% 196.44/46.73 -> [132] ~(=(B10_0_3, B10_0_3) & cowlNothing(B10_0_3))
% 196.44/46.73 -> [133] cowlNothing(B10_0_3)
% 196.44/46.73
% 196.44/46.73 [133] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [184] ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [184] BETA_IMPLY : ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [185] ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.73 -> [186] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [186] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [185] BETA_NOT_AND : ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.73 -> [455] ~=(ia, skolem_X2222)
% 196.44/46.73 -> [456] ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [456] CLOSURE : ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [455] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [465] ((=(B14_10_5, B14_10_5) & xsd_integer(B14_10_5)) => xsd_integer(B14_10_5))
% 196.44/46.73
% 196.44/46.73 [465] BETA_IMPLY : ((=(B14_10_5, B14_10_5) & xsd_integer(B14_10_5)) => xsd_integer(B14_10_5))
% 196.44/46.73 -> [468] ~(=(B14_10_5, B14_10_5) & xsd_integer(B14_10_5))
% 196.44/46.73 -> [469] xsd_integer(B14_10_5)
% 196.44/46.73
% 196.44/46.73 [469] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [500] ((=(B16_6_6, B16_6_6) & xsd_string(B16_6_6)) => xsd_string(B16_6_6))
% 196.44/46.73
% 196.44/46.73 [500] BETA_IMPLY : ((=(B16_6_6, B16_6_6) & xsd_string(B16_6_6)) => xsd_string(B16_6_6))
% 196.44/46.73 -> [501] ~(=(B16_6_6, B16_6_6) & xsd_string(B16_6_6))
% 196.44/46.73 -> [502] xsd_string(B16_6_6)
% 196.44/46.73
% 196.44/46.73 [501] BETA_NOT_AND : ~(=(B16_6_6, B16_6_6) & xsd_string(B16_6_6))
% 196.44/46.73 -> [511] ~=(B16_6_6, B16_6_6)
% 196.44/46.73 -> [512] ~xsd_string(B16_6_6)
% 196.44/46.73
% 196.44/46.73 [511] CLOSURE : ~=(B16_6_6, B16_6_6)
% 196.44/46.73
% 196.44/46.73 [512] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [530] (cowlThing(X17_4_7) & ~cowlNothing(X17_4_7))
% 196.44/46.73
% 196.44/46.73 [530] ALPHA_AND : (cowlThing(X17_4_7) & ~cowlNothing(X17_4_7))
% 196.44/46.73 -> [531] cowlThing(X17_4_7), ~cowlNothing(X17_4_7)
% 196.44/46.73
% 196.44/46.73 [531] CLOSURE : cowlThing(X17_4_7)
% 196.44/46.73
% 196.44/46.73 [502] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [540] (cowlThing(X17_6_7) & ~cowlNothing(X17_6_7))
% 196.44/46.73
% 196.44/46.73 [540] ALPHA_AND : (cowlThing(X17_6_7) & ~cowlNothing(X17_6_7))
% 196.44/46.73 -> [541] cowlThing(X17_6_7), ~cowlNothing(X17_6_7)
% 196.44/46.73
% 196.44/46.73 [541] CLOSURE : cowlThing(X17_6_7)
% 196.44/46.73
% 196.44/46.73 [468] BETA_NOT_AND : ~(=(B14_10_5, B14_10_5) & xsd_integer(B14_10_5))
% 196.44/46.73 -> [472] ~=(B14_10_5, B14_10_5)
% 196.44/46.73 -> [473] ~xsd_integer(B14_10_5)
% 196.44/46.73
% 196.44/46.73 [472] CLOSURE : ~=(B14_10_5, B14_10_5)
% 196.44/46.73
% 196.44/46.73 [473] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [508] ((=(B16_7_6, B16_7_6) & xsd_string(B16_7_6)) => xsd_string(B16_7_6))
% 196.44/46.73
% 196.44/46.73 [508] BETA_IMPLY : ((=(B16_7_6, B16_7_6) & xsd_string(B16_7_6)) => xsd_string(B16_7_6))
% 196.44/46.73 -> [509] ~(=(B16_7_6, B16_7_6) & xsd_string(B16_7_6))
% 196.44/46.73 -> [510] xsd_string(B16_7_6)
% 196.44/46.73
% 196.44/46.73 [509] BETA_NOT_AND : ~(=(B16_7_6, B16_7_6) & xsd_string(B16_7_6))
% 196.44/46.73 -> [515] ~=(B16_7_6, B16_7_6)
% 196.44/46.73 -> [516] ~xsd_string(B16_7_6)
% 196.44/46.73
% 196.44/46.73 [515] CLOSURE : ~=(B16_7_6, B16_7_6)
% 196.44/46.73
% 196.44/46.73 [516] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1020] (cowlThing(X17_44_7) & ~cowlNothing(X17_44_7))
% 196.44/46.73
% 196.44/46.73 [1020] ALPHA_AND : (cowlThing(X17_44_7) & ~cowlNothing(X17_44_7))
% 196.44/46.73 -> [1021] cowlThing(X17_44_7), ~cowlNothing(X17_44_7)
% 196.44/46.73
% 196.44/46.73 [1021] CLOSURE : cowlThing(X17_44_7)
% 196.44/46.73
% 196.44/46.73 [510] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [571] (cowlThing(X17_8_7) & ~cowlNothing(X17_8_7))
% 196.44/46.73
% 196.44/46.73 [571] ALPHA_AND : (cowlThing(X17_8_7) & ~cowlNothing(X17_8_7))
% 196.44/46.73 -> [573] cowlThing(X17_8_7), ~cowlNothing(X17_8_7)
% 196.44/46.73
% 196.44/46.73 [573] CLOSURE : cowlThing(X17_8_7)
% 196.44/46.73
% 196.44/46.73 [132] BETA_NOT_AND : ~(=(B10_0_3, B10_0_3) & cowlNothing(B10_0_3))
% 196.44/46.73 -> [152] ~=(B10_0_3, B10_0_3)
% 196.44/46.73 -> [153] ~cowlNothing(B10_0_3)
% 196.44/46.73
% 196.44/46.73 [152] CLOSURE : ~=(B10_0_3, B10_0_3)
% 196.44/46.73
% 196.44/46.73 [153] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [172] ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [172] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [173] ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [174] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [174] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [173] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [493] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [494] ~cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [493] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [494] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [537] ((=(B14_12_5, B14_12_5) & xsd_integer(B14_12_5)) => xsd_integer(B14_12_5))
% 196.44/46.73
% 196.44/46.73 [537] BETA_IMPLY : ((=(B14_12_5, B14_12_5) & xsd_integer(B14_12_5)) => xsd_integer(B14_12_5))
% 196.44/46.73 -> [538] ~(=(B14_12_5, B14_12_5) & xsd_integer(B14_12_5))
% 196.44/46.73 -> [539] xsd_integer(B14_12_5)
% 196.44/46.73
% 196.44/46.73 [539] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [632] ((=(B16_13_6, B16_13_6) & xsd_string(B16_13_6)) => xsd_string(B16_13_6))
% 196.44/46.73
% 196.44/46.73 [632] BETA_IMPLY : ((=(B16_13_6, B16_13_6) & xsd_string(B16_13_6)) => xsd_string(B16_13_6))
% 196.44/46.73 -> [635] ~(=(B16_13_6, B16_13_6) & xsd_string(B16_13_6))
% 196.44/46.73 -> [636] xsd_string(B16_13_6)
% 196.44/46.73
% 196.44/46.73 [635] BETA_NOT_AND : ~(=(B16_13_6, B16_13_6) & xsd_string(B16_13_6))
% 196.44/46.73 -> [667] ~=(B16_13_6, B16_13_6)
% 196.44/46.73 -> [668] ~xsd_string(B16_13_6)
% 196.44/46.73
% 196.44/46.73 [667] CLOSURE : ~=(B16_13_6, B16_13_6)
% 196.44/46.73
% 196.44/46.73 [668] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1742] (cowlThing(X17_119_7) & ~cowlNothing(X17_119_7))
% 196.44/46.73
% 196.44/46.73 [1742] ALPHA_AND : (cowlThing(X17_119_7) & ~cowlNothing(X17_119_7))
% 196.44/46.73 -> [1743] cowlThing(X17_119_7), ~cowlNothing(X17_119_7)
% 196.44/46.73
% 196.44/46.73 [1743] CLOSURE : cowlThing(X17_119_7)
% 196.44/46.73
% 196.44/46.73 [636] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [778] (cowlThing(X17_22_7) & ~cowlNothing(X17_22_7))
% 196.44/46.73
% 196.44/46.73 [778] ALPHA_AND : (cowlThing(X17_22_7) & ~cowlNothing(X17_22_7))
% 196.44/46.73 -> [780] cowlThing(X17_22_7), ~cowlNothing(X17_22_7)
% 196.44/46.73
% 196.44/46.73 [780] CLOSURE : cowlThing(X17_22_7)
% 196.44/46.73
% 196.44/46.73 [538] BETA_NOT_AND : ~(=(B14_12_5, B14_12_5) & xsd_integer(B14_12_5))
% 196.44/46.73 -> [545] ~=(B14_12_5, B14_12_5)
% 196.44/46.73 -> [546] ~xsd_integer(B14_12_5)
% 196.44/46.73
% 196.44/46.73 [545] CLOSURE : ~=(B14_12_5, B14_12_5)
% 196.44/46.73
% 196.44/46.73 [546] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1116] ((=(B16_36_6, B16_36_6) & xsd_string(B16_36_6)) => xsd_string(B16_36_6))
% 196.44/46.73
% 196.44/46.73 [1116] BETA_IMPLY : ((=(B16_36_6, B16_36_6) & xsd_string(B16_36_6)) => xsd_string(B16_36_6))
% 196.44/46.73 -> [1117] ~(=(B16_36_6, B16_36_6) & xsd_string(B16_36_6))
% 196.44/46.73 -> [1118] xsd_string(B16_36_6)
% 196.44/46.73
% 196.44/46.73 [1118] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1191] (cowlThing(X17_58_7) & ~cowlNothing(X17_58_7))
% 196.44/46.73
% 196.44/46.73 [1191] ALPHA_AND : (cowlThing(X17_58_7) & ~cowlNothing(X17_58_7))
% 196.44/46.73 -> [1193] cowlThing(X17_58_7), ~cowlNothing(X17_58_7)
% 196.44/46.73
% 196.44/46.73 [1193] CLOSURE : cowlThing(X17_58_7)
% 196.44/46.73
% 196.44/46.73 [1117] BETA_NOT_AND : ~(=(B16_36_6, B16_36_6) & xsd_string(B16_36_6))
% 196.44/46.73 -> [1145] ~=(B16_36_6, B16_36_6)
% 196.44/46.73 -> [1146] ~xsd_string(B16_36_6)
% 196.44/46.73
% 196.44/46.73 [1145] CLOSURE : ~=(B16_36_6, B16_36_6)
% 196.44/46.73
% 196.44/46.73 [1146] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1228] (cowlThing(X17_61_7) & ~cowlNothing(X17_61_7))
% 196.44/46.73
% 196.44/46.73 [1228] ALPHA_AND : (cowlThing(X17_61_7) & ~cowlNothing(X17_61_7))
% 196.44/46.73 -> [1230] cowlThing(X17_61_7), ~cowlNothing(X17_61_7)
% 196.44/46.73
% 196.44/46.73 [1230] CLOSURE : cowlThing(X17_61_7)
% 196.44/46.73
% 196.44/46.73 [111] BETA_NOT_AND : ~(=(B8_2_2, B8_2_2) & cB(B8_2_2))
% 196.44/46.73 -> [579] ~=(B8_2_2, B8_2_2)
% 196.44/46.73 -> [580] ~cB(B8_2_2)
% 196.44/46.73
% 196.44/46.73 [579] CLOSURE : ~=(B8_2_2, B8_2_2)
% 196.44/46.73
% 196.44/46.73 [580] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [1000] ((=(B10_23_3, B10_23_3) & cowlNothing(B10_23_3)) => cowlNothing(B10_23_3))
% 196.44/46.73
% 196.44/46.73 [1000] BETA_IMPLY : ((=(B10_23_3, B10_23_3) & cowlNothing(B10_23_3)) => cowlNothing(B10_23_3))
% 196.44/46.73 -> [1001] ~(=(B10_23_3, B10_23_3) & cowlNothing(B10_23_3))
% 196.44/46.73 -> [1002] cowlNothing(B10_23_3)
% 196.44/46.73
% 196.44/46.73 [1002] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [1015] ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [1015] BETA_IMPLY : ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [1018] ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.73 -> [1019] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1019] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1018] BETA_NOT_AND : ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.73 -> [1080] ~=(ia, skolem_X2222)
% 196.44/46.73 -> [1081] ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1081] CLOSURE : ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [1080] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [1108] ((=(B14_25_5, B14_25_5) & xsd_integer(B14_25_5)) => xsd_integer(B14_25_5))
% 196.44/46.73
% 196.44/46.73 [1108] BETA_IMPLY : ((=(B14_25_5, B14_25_5) & xsd_integer(B14_25_5)) => xsd_integer(B14_25_5))
% 196.44/46.73 -> [1111] ~(=(B14_25_5, B14_25_5) & xsd_integer(B14_25_5))
% 196.44/46.73 -> [1112] xsd_integer(B14_25_5)
% 196.44/46.73
% 196.44/46.73 [1112] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1130] ((=(B16_37_6, B16_37_6) & xsd_string(B16_37_6)) => xsd_string(B16_37_6))
% 196.44/46.73
% 196.44/46.73 [1130] BETA_IMPLY : ((=(B16_37_6, B16_37_6) & xsd_string(B16_37_6)) => xsd_string(B16_37_6))
% 196.44/46.73 -> [1131] ~(=(B16_37_6, B16_37_6) & xsd_string(B16_37_6))
% 196.44/46.73 -> [1132] xsd_string(B16_37_6)
% 196.44/46.73
% 196.44/46.73 [1132] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1173] (cowlThing(X17_53_7) & ~cowlNothing(X17_53_7))
% 196.44/46.73
% 196.44/46.73 [1173] ALPHA_AND : (cowlThing(X17_53_7) & ~cowlNothing(X17_53_7))
% 196.44/46.73 -> [1174] cowlThing(X17_53_7), ~cowlNothing(X17_53_7)
% 196.44/46.73
% 196.44/46.73 [1174] CLOSURE : cowlThing(X17_53_7)
% 196.44/46.73
% 196.44/46.73 [1131] BETA_NOT_AND : ~(=(B16_37_6, B16_37_6) & xsd_string(B16_37_6))
% 196.44/46.73 -> [1143] ~=(B16_37_6, B16_37_6)
% 196.44/46.73 -> [1144] ~xsd_string(B16_37_6)
% 196.44/46.73
% 196.44/46.73 [1143] CLOSURE : ~=(B16_37_6, B16_37_6)
% 196.44/46.73
% 196.44/46.73 [1144] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1178] (cowlThing(X17_55_7) & ~cowlNothing(X17_55_7))
% 196.44/46.73
% 196.44/46.73 [1178] ALPHA_AND : (cowlThing(X17_55_7) & ~cowlNothing(X17_55_7))
% 196.44/46.73 -> [1179] cowlThing(X17_55_7), ~cowlNothing(X17_55_7)
% 196.44/46.73
% 196.44/46.73 [1179] CLOSURE : cowlThing(X17_55_7)
% 196.44/46.73
% 196.44/46.73 [1111] BETA_NOT_AND : ~(=(B14_25_5, B14_25_5) & xsd_integer(B14_25_5))
% 196.44/46.73 -> [1119] ~=(B14_25_5, B14_25_5)
% 196.44/46.73 -> [1120] ~xsd_integer(B14_25_5)
% 196.44/46.73
% 196.44/46.73 [1119] CLOSURE : ~=(B14_25_5, B14_25_5)
% 196.44/46.73
% 196.44/46.73 [1120] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1140] ((=(B16_38_6, B16_38_6) & xsd_string(B16_38_6)) => xsd_string(B16_38_6))
% 196.44/46.73
% 196.44/46.73 [1140] BETA_IMPLY : ((=(B16_38_6, B16_38_6) & xsd_string(B16_38_6)) => xsd_string(B16_38_6))
% 196.44/46.73 -> [1141] ~(=(B16_38_6, B16_38_6) & xsd_string(B16_38_6))
% 196.44/46.73 -> [1142] xsd_string(B16_38_6)
% 196.44/46.73
% 196.44/46.73 [1142] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1175] (cowlThing(X17_54_7) & ~cowlNothing(X17_54_7))
% 196.44/46.73
% 196.44/46.73 [1175] ALPHA_AND : (cowlThing(X17_54_7) & ~cowlNothing(X17_54_7))
% 196.44/46.73 -> [1176] cowlThing(X17_54_7), ~cowlNothing(X17_54_7)
% 196.44/46.73
% 196.44/46.73 [1176] CLOSURE : cowlThing(X17_54_7)
% 196.44/46.73
% 196.44/46.73 [1141] BETA_NOT_AND : ~(=(B16_38_6, B16_38_6) & xsd_string(B16_38_6))
% 196.44/46.73 -> [1151] ~=(B16_38_6, B16_38_6)
% 196.44/46.73 -> [1152] ~xsd_string(B16_38_6)
% 196.44/46.73
% 196.44/46.73 [1151] CLOSURE : ~=(B16_38_6, B16_38_6)
% 196.44/46.73
% 196.44/46.73 [1152] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1185] (cowlThing(X17_56_7) & ~cowlNothing(X17_56_7))
% 196.44/46.73
% 196.44/46.73 [1185] ALPHA_AND : (cowlThing(X17_56_7) & ~cowlNothing(X17_56_7))
% 196.44/46.73 -> [1186] cowlThing(X17_56_7), ~cowlNothing(X17_56_7)
% 196.44/46.73
% 196.44/46.73 [1186] CLOSURE : cowlThing(X17_56_7)
% 196.44/46.73
% 196.44/46.73 [1001] BETA_NOT_AND : ~(=(B10_23_3, B10_23_3) & cowlNothing(B10_23_3))
% 196.44/46.73 -> [1013] ~=(B10_23_3, B10_23_3)
% 196.44/46.73 -> [1014] ~cowlNothing(B10_23_3)
% 196.44/46.73
% 196.44/46.73 [1013] CLOSURE : ~=(B10_23_3, B10_23_3)
% 196.44/46.73
% 196.44/46.73 [1014] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [1062] ((=(ib, skolem_X2222) & cowlThing(ib)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [1062] BETA_IMPLY : ((=(ib, skolem_X2222) & cowlThing(ib)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [1063] ~(=(ib, skolem_X2222) & cowlThing(ib))
% 196.44/46.73 -> [1064] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1064] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [1063] BETA_NOT_AND : ~(=(ib, skolem_X2222) & cowlThing(ib))
% 196.44/46.73 -> [2124] ~=(ib, skolem_X2222)
% 196.44/46.73 -> [2125] ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [2125] CLOSURE : ~cowlThing(ib)
% 196.44/46.73
% 196.44/46.73 [2124] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [2134] ((=(B14_49_5, B14_49_5) & xsd_integer(B14_49_5)) => xsd_integer(B14_49_5))
% 196.44/46.73
% 196.44/46.73 [2134] BETA_IMPLY : ((=(B14_49_5, B14_49_5) & xsd_integer(B14_49_5)) => xsd_integer(B14_49_5))
% 196.44/46.73 -> [2135] ~(=(B14_49_5, B14_49_5) & xsd_integer(B14_49_5))
% 196.44/46.73 -> [2136] xsd_integer(B14_49_5)
% 196.44/46.73
% 196.44/46.73 [2135] BETA_NOT_AND : ~(=(B14_49_5, B14_49_5) & xsd_integer(B14_49_5))
% 196.44/46.73 -> [2140] ~=(B14_49_5, B14_49_5)
% 196.44/46.73 -> [2141] ~xsd_integer(B14_49_5)
% 196.44/46.73
% 196.44/46.73 [2140] CLOSURE : ~=(B14_49_5, B14_49_5)
% 196.44/46.73
% 196.44/46.73 [2141] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [2148] ((=(B16_88_6, B16_88_6) & xsd_string(B16_88_6)) => xsd_string(B16_88_6))
% 196.44/46.73
% 196.44/46.73 [2148] BETA_IMPLY : ((=(B16_88_6, B16_88_6) & xsd_string(B16_88_6)) => xsd_string(B16_88_6))
% 196.44/46.73 -> [2150] ~(=(B16_88_6, B16_88_6) & xsd_string(B16_88_6))
% 196.44/46.73 -> [2151] xsd_string(B16_88_6)
% 196.44/46.73
% 196.44/46.73 [2151] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2164] (cowlThing(X17_164_7) & ~cowlNothing(X17_164_7))
% 196.44/46.73
% 196.44/46.73 [2164] ALPHA_AND : (cowlThing(X17_164_7) & ~cowlNothing(X17_164_7))
% 196.44/46.73 -> [2165] cowlThing(X17_164_7), ~cowlNothing(X17_164_7)
% 196.44/46.73
% 196.44/46.73 [2165] CLOSURE : cowlThing(X17_164_7)
% 196.44/46.73
% 196.44/46.73 [2150] BETA_NOT_AND : ~(=(B16_88_6, B16_88_6) & xsd_string(B16_88_6))
% 196.44/46.73 -> [2156] ~=(B16_88_6, B16_88_6)
% 196.44/46.73 -> [2157] ~xsd_string(B16_88_6)
% 196.44/46.73
% 196.44/46.73 [2156] CLOSURE : ~=(B16_88_6, B16_88_6)
% 196.44/46.73
% 196.44/46.73 [2157] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2170] (cowlThing(X17_166_7) & ~cowlNothing(X17_166_7))
% 196.44/46.73
% 196.44/46.73 [2170] ALPHA_AND : (cowlThing(X17_166_7) & ~cowlNothing(X17_166_7))
% 196.44/46.73 -> [2171] cowlThing(X17_166_7), ~cowlNothing(X17_166_7)
% 196.44/46.73
% 196.44/46.73 [2171] CLOSURE : cowlThing(X17_166_7)
% 196.44/46.73
% 196.44/46.73 [2136] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [2149] ((=(B16_89_6, B16_89_6) & xsd_string(B16_89_6)) => xsd_string(B16_89_6))
% 196.44/46.73
% 196.44/46.73 [2149] BETA_IMPLY : ((=(B16_89_6, B16_89_6) & xsd_string(B16_89_6)) => xsd_string(B16_89_6))
% 196.44/46.73 -> [2152] ~(=(B16_89_6, B16_89_6) & xsd_string(B16_89_6))
% 196.44/46.73 -> [2153] xsd_string(B16_89_6)
% 196.44/46.73
% 196.44/46.73 [2153] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2166] (cowlThing(X17_165_7) & ~cowlNothing(X17_165_7))
% 196.44/46.73
% 196.44/46.73 [2166] ALPHA_AND : (cowlThing(X17_165_7) & ~cowlNothing(X17_165_7))
% 196.44/46.73 -> [2167] cowlThing(X17_165_7), ~cowlNothing(X17_165_7)
% 196.44/46.73
% 196.44/46.73 [2167] CLOSURE : cowlThing(X17_165_7)
% 196.44/46.73
% 196.44/46.73 [2152] BETA_NOT_AND : ~(=(B16_89_6, B16_89_6) & xsd_string(B16_89_6))
% 196.44/46.73 -> [2154] ~=(B16_89_6, B16_89_6)
% 196.44/46.73 -> [2155] ~xsd_string(B16_89_6)
% 196.44/46.73
% 196.44/46.73 [2154] CLOSURE : ~=(B16_89_6, B16_89_6)
% 196.44/46.73
% 196.44/46.73 [2155] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [2172] (cowlThing(X17_167_7) & ~cowlNothing(X17_167_7))
% 196.44/46.73
% 196.44/46.73 [2172] ALPHA_AND : (cowlThing(X17_167_7) & ~cowlNothing(X17_167_7))
% 196.44/46.73 -> [2173] cowlThing(X17_167_7), ~cowlNothing(X17_167_7)
% 196.44/46.73
% 196.44/46.73 [2173] CLOSURE : cowlThing(X17_167_7)
% 196.44/46.73
% 196.44/46.73 [32] BETA_NOT_AND : ~(=(B4_1_0, B4_1_0) & cA(B4_1_0))
% 196.44/46.73 -> [43] ~=(B4_1_0, B4_1_0)
% 196.44/46.73 -> [44] ~cA(B4_1_0)
% 196.44/46.73
% 196.44/46.73 [43] CLOSURE : ~=(B4_1_0, B4_1_0)
% 196.44/46.73
% 196.44/46.73 [44] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.73 -> [67] ((=(B6_4_1, B6_4_1) & cA_and_B(B6_4_1)) => cA_and_B(B6_4_1))
% 196.44/46.73
% 196.44/46.73 [67] BETA_IMPLY : ((=(B6_4_1, B6_4_1) & cA_and_B(B6_4_1)) => cA_and_B(B6_4_1))
% 196.44/46.73 -> [68] ~(=(B6_4_1, B6_4_1) & cA_and_B(B6_4_1))
% 196.44/46.73 -> [69] cA_and_B(B6_4_1)
% 196.44/46.73
% 196.44/46.73 [68] BETA_NOT_AND : ~(=(B6_4_1, B6_4_1) & cA_and_B(B6_4_1))
% 196.44/46.73 -> [99] ~=(B6_4_1, B6_4_1)
% 196.44/46.73 -> [100] ~cA_and_B(B6_4_1)
% 196.44/46.73
% 196.44/46.73 [99] CLOSURE : ~=(B6_4_1, B6_4_1)
% 196.44/46.73
% 196.44/46.73 [100] Rewrite : ~cA_and_B(B6_4_1)
% 196.44/46.73 -> [115] ~(cA(B6_4_1) | cB(B6_4_1))
% 196.44/46.73
% 196.44/46.73 [115] ALPHA_NOT_OR : ~(cA(B8_3_2) | cB(B8_3_2))
% 196.44/46.73 -> [118] ~cA(B8_3_2), ~cB(B8_3_2)
% 196.44/46.73
% 196.44/46.73 [118] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [123] ((=(B8_3_2, B8_3_2) & cB(B8_3_2)) => cB(B8_3_2))
% 196.44/46.73
% 196.44/46.73 [123] BETA_IMPLY : ((=(B8_3_2, B8_3_2) & cB(B8_3_2)) => cB(B8_3_2))
% 196.44/46.73 -> [124] ~(=(B8_3_2, B8_3_2) & cB(B8_3_2))
% 196.44/46.73 -> [125] cB(B8_3_2)
% 196.44/46.73
% 196.44/46.73 [124] BETA_NOT_AND : ~(=(B8_3_2, B8_3_2) & cB(B8_3_2))
% 196.44/46.73 -> [138] ~=(B8_3_2, B8_3_2)
% 196.44/46.73 -> [139] ~cB(B8_3_2)
% 196.44/46.73
% 196.44/46.73 [138] CLOSURE : ~=(B8_3_2, B8_3_2)
% 196.44/46.73
% 196.44/46.73 [139] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [144] ((=(B10_1_3, B10_1_3) & cowlNothing(B10_1_3)) => cowlNothing(B10_1_3))
% 196.44/46.73
% 196.44/46.73 [144] BETA_IMPLY : ((=(B10_1_3, B10_1_3) & cowlNothing(B10_1_3)) => cowlNothing(B10_1_3))
% 196.44/46.73 -> [145] ~(=(B10_1_3, B10_1_3) & cowlNothing(B10_1_3))
% 196.44/46.73 -> [146] cowlNothing(B10_1_3)
% 196.44/46.73
% 196.44/46.73 [145] BETA_NOT_AND : ~(=(B10_1_3, B10_1_3) & cowlNothing(B10_1_3))
% 196.44/46.73 -> [320] ~=(B10_1_3, B10_1_3)
% 196.44/46.73 -> [321] ~cowlNothing(B10_1_3)
% 196.44/46.73
% 196.44/46.73 [320] CLOSURE : ~=(B10_1_3, B10_1_3)
% 196.44/46.73
% 196.44/46.73 [321] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [323] ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [323] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [325] ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [326] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [326] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [325] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.73 -> [377] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73 -> [378] ~cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [377] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [378] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [403] ((=(B14_6_5, B14_6_5) & xsd_integer(B14_6_5)) => xsd_integer(B14_6_5))
% 196.44/46.73
% 196.44/46.73 [403] BETA_IMPLY : ((=(B14_6_5, B14_6_5) & xsd_integer(B14_6_5)) => xsd_integer(B14_6_5))
% 196.44/46.73 -> [404] ~(=(B14_6_5, B14_6_5) & xsd_integer(B14_6_5))
% 196.44/46.73 -> [405] xsd_integer(B14_6_5)
% 196.44/46.73
% 196.44/46.73 [405] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [888] ((=(B16_26_6, B16_26_6) & xsd_string(B16_26_6)) => xsd_string(B16_26_6))
% 196.44/46.73
% 196.44/46.73 [888] BETA_IMPLY : ((=(B16_26_6, B16_26_6) & xsd_string(B16_26_6)) => xsd_string(B16_26_6))
% 196.44/46.73 -> [889] ~(=(B16_26_6, B16_26_6) & xsd_string(B16_26_6))
% 196.44/46.73 -> [890] xsd_string(B16_26_6)
% 196.44/46.73
% 196.44/46.73 [890] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [910] (cowlThing(X17_36_7) & ~cowlNothing(X17_36_7))
% 196.44/46.73
% 196.44/46.73 [910] ALPHA_AND : (cowlThing(X17_36_7) & ~cowlNothing(X17_36_7))
% 196.44/46.73 -> [912] cowlThing(X17_36_7), ~cowlNothing(X17_36_7)
% 196.44/46.73
% 196.44/46.73 [912] CLOSURE : cowlThing(X17_36_7)
% 196.44/46.73
% 196.44/46.73 [889] BETA_NOT_AND : ~(=(B16_26_6, B16_26_6) & xsd_string(B16_26_6))
% 196.44/46.73 -> [901] ~=(B16_26_6, B16_26_6)
% 196.44/46.73 -> [902] ~xsd_string(B16_26_6)
% 196.44/46.73
% 196.44/46.73 [901] CLOSURE : ~=(B16_26_6, B16_26_6)
% 196.44/46.73
% 196.44/46.73 [902] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [922] (cowlThing(X17_38_7) & ~cowlNothing(X17_38_7))
% 196.44/46.73
% 196.44/46.73 [922] ALPHA_AND : (cowlThing(X17_38_7) & ~cowlNothing(X17_38_7))
% 196.44/46.73 -> [924] cowlThing(X17_38_7), ~cowlNothing(X17_38_7)
% 196.44/46.73
% 196.44/46.73 [924] CLOSURE : cowlThing(X17_38_7)
% 196.44/46.73
% 196.44/46.73 [404] BETA_NOT_AND : ~(=(B14_6_5, B14_6_5) & xsd_integer(B14_6_5))
% 196.44/46.73 -> [412] ~=(B14_6_5, B14_6_5)
% 196.44/46.73 -> [413] ~xsd_integer(B14_6_5)
% 196.44/46.73
% 196.44/46.73 [412] CLOSURE : ~=(B14_6_5, B14_6_5)
% 196.44/46.73
% 196.44/46.73 [413] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [416] ((=(B16_3_6, B16_3_6) & xsd_string(B16_3_6)) => xsd_string(B16_3_6))
% 196.44/46.73
% 196.44/46.73 [416] BETA_IMPLY : ((=(B16_3_6, B16_3_6) & xsd_string(B16_3_6)) => xsd_string(B16_3_6))
% 196.44/46.73 -> [417] ~(=(B16_3_6, B16_3_6) & xsd_string(B16_3_6))
% 196.44/46.73 -> [418] xsd_string(B16_3_6)
% 196.44/46.73
% 196.44/46.73 [417] BETA_NOT_AND : ~(=(B16_3_6, B16_3_6) & xsd_string(B16_3_6))
% 196.44/46.73 -> [421] ~=(B16_3_6, B16_3_6)
% 196.44/46.73 -> [422] ~xsd_string(B16_3_6)
% 196.44/46.73
% 196.44/46.73 [422] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [434] (cowlThing(X17_0_7) & ~cowlNothing(X17_0_7))
% 196.44/46.73
% 196.44/46.73 [434] ALPHA_AND : (cowlThing(X17_0_7) & ~cowlNothing(X17_0_7))
% 196.44/46.73 -> [435] cowlThing(X17_0_7), ~cowlNothing(X17_0_7)
% 196.44/46.73
% 196.44/46.73 [435] CLOSURE : cowlThing(X17_0_7)
% 196.44/46.73
% 196.44/46.73 [421] CLOSURE : ~=(B16_3_6, B16_3_6)
% 196.44/46.73
% 196.44/46.73 [418] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [787] (cowlThing(X17_23_7) & ~cowlNothing(X17_23_7))
% 196.44/46.73
% 196.44/46.73 [787] ALPHA_AND : (cowlThing(X17_23_7) & ~cowlNothing(X17_23_7))
% 196.44/46.73 -> [789] cowlThing(X17_23_7), ~cowlNothing(X17_23_7)
% 196.44/46.73
% 196.44/46.73 [789] CLOSURE : cowlThing(X17_23_7)
% 196.44/46.73
% 196.44/46.73 [146] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.73 -> [324] ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.73
% 196.44/46.73 [324] BETA_IMPLY : ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.73 -> [327] ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.73 -> [328] cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [328] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.73
% 196.44/46.73 [327] BETA_NOT_AND : ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.73 -> [394] ~=(ia, skolem_X2222)
% 196.44/46.73 -> [395] ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [395] CLOSURE : ~cowlThing(ia)
% 196.44/46.73
% 196.44/46.73 [394] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.73 -> [1557] ((=(B14_36_5, B14_36_5) & xsd_integer(B14_36_5)) => xsd_integer(B14_36_5))
% 196.44/46.73
% 196.44/46.73 [1557] BETA_IMPLY : ((=(B14_36_5, B14_36_5) & xsd_integer(B14_36_5)) => xsd_integer(B14_36_5))
% 196.44/46.73 -> [1558] ~(=(B14_36_5, B14_36_5) & xsd_integer(B14_36_5))
% 196.44/46.73 -> [1559] xsd_integer(B14_36_5)
% 196.44/46.73
% 196.44/46.73 [1558] BETA_NOT_AND : ~(=(B14_36_5, B14_36_5) & xsd_integer(B14_36_5))
% 196.44/46.73 -> [1561] ~=(B14_36_5, B14_36_5)
% 196.44/46.73 -> [1562] ~xsd_integer(B14_36_5)
% 196.44/46.73
% 196.44/46.73 [1561] CLOSURE : ~=(B14_36_5, B14_36_5)
% 196.44/46.73
% 196.44/46.73 [1562] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1571] ((=(B16_62_6, B16_62_6) & xsd_string(B16_62_6)) => xsd_string(B16_62_6))
% 196.44/46.73
% 196.44/46.73 [1571] BETA_IMPLY : ((=(B16_62_6, B16_62_6) & xsd_string(B16_62_6)) => xsd_string(B16_62_6))
% 196.44/46.73 -> [1572] ~(=(B16_62_6, B16_62_6) & xsd_string(B16_62_6))
% 196.44/46.73 -> [1573] xsd_string(B16_62_6)
% 196.44/46.73
% 196.44/46.73 [1573] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1589] (cowlThing(X17_103_7) & ~cowlNothing(X17_103_7))
% 196.44/46.73
% 196.44/46.73 [1589] ALPHA_AND : (cowlThing(X17_103_7) & ~cowlNothing(X17_103_7))
% 196.44/46.73 -> [1590] cowlThing(X17_103_7), ~cowlNothing(X17_103_7)
% 196.44/46.73
% 196.44/46.73 [1590] CLOSURE : cowlThing(X17_103_7)
% 196.44/46.73
% 196.44/46.73 [1572] BETA_NOT_AND : ~(=(B16_62_6, B16_62_6) & xsd_string(B16_62_6))
% 196.44/46.73 -> [1576] ~=(B16_62_6, B16_62_6)
% 196.44/46.73 -> [1577] ~xsd_string(B16_62_6)
% 196.44/46.73
% 196.44/46.73 [1576] CLOSURE : ~=(B16_62_6, B16_62_6)
% 196.44/46.73
% 196.44/46.73 [1577] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1598] (cowlThing(X17_105_7) & ~cowlNothing(X17_105_7))
% 196.44/46.73
% 196.44/46.73 [1598] ALPHA_AND : (cowlThing(X17_105_7) & ~cowlNothing(X17_105_7))
% 196.44/46.73 -> [1599] cowlThing(X17_105_7), ~cowlNothing(X17_105_7)
% 196.44/46.73
% 196.44/46.73 [1599] CLOSURE : cowlThing(X17_105_7)
% 196.44/46.73
% 196.44/46.73 [1559] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.73 -> [1568] ((=(B16_61_6, B16_61_6) & xsd_string(B16_61_6)) => xsd_string(B16_61_6))
% 196.44/46.73
% 196.44/46.73 [1568] BETA_IMPLY : ((=(B16_61_6, B16_61_6) & xsd_string(B16_61_6)) => xsd_string(B16_61_6))
% 196.44/46.73 -> [1569] ~(=(B16_61_6, B16_61_6) & xsd_string(B16_61_6))
% 196.44/46.73 -> [1570] xsd_string(B16_61_6)
% 196.44/46.73
% 196.44/46.73 [1570] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1584] (cowlThing(X17_102_7) & ~cowlNothing(X17_102_7))
% 196.44/46.73
% 196.44/46.73 [1584] ALPHA_AND : (cowlThing(X17_102_7) & ~cowlNothing(X17_102_7))
% 196.44/46.73 -> [1585] cowlThing(X17_102_7), ~cowlNothing(X17_102_7)
% 196.44/46.73
% 196.44/46.73 [1585] CLOSURE : cowlThing(X17_102_7)
% 196.44/46.73
% 196.44/46.73 [1569] BETA_NOT_AND : ~(=(B16_61_6, B16_61_6) & xsd_string(B16_61_6))
% 196.44/46.73 -> [1574] ~=(B16_61_6, B16_61_6)
% 196.44/46.73 -> [1575] ~xsd_string(B16_61_6)
% 196.44/46.73
% 196.44/46.73 [1574] CLOSURE : ~=(B16_61_6, B16_61_6)
% 196.44/46.73
% 196.44/46.73 [1575] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.73 -> [1593] (cowlThing(X17_104_7) & ~cowlNothing(X17_104_7))
% 196.44/46.73
% 196.44/46.73 [1593] ALPHA_AND : (cowlThing(X17_104_7) & ~cowlNothing(X17_104_7))
% 196.44/46.73 -> [1594] cowlThing(X17_104_7), ~cowlNothing(X17_104_7)
% 196.44/46.73
% 196.44/46.73 [1594] CLOSURE : cowlThing(X17_104_7)
% 196.44/46.73
% 196.44/46.73 [125] CLOSURE : cB(B8_3_2)
% 196.44/46.73
% 196.44/46.73 [69] BETA_OR : (cA(B6_4_1) | cB(B6_4_1))
% 196.44/46.73 -> [2356] cA(B6_4_1)
% 196.44/46.73 -> [2357] cB(B6_4_1)
% 196.44/46.73
% 196.44/46.73 [2356] CLOSURE : cA(B6_4_1)
% 196.44/46.73
% 196.44/46.73 [2357] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.73 -> [2361] ((=(B8_23_2, B8_23_2) & cB(B8_23_2)) => cB(B8_23_2))
% 196.44/46.73
% 196.44/46.73 [2361] BETA_IMPLY : ((=(B8_23_2, B8_23_2) & cB(B8_23_2)) => cB(B8_23_2))
% 196.44/46.73 -> [2362] ~(=(B8_23_2, B8_23_2) & cB(B8_23_2))
% 196.44/46.73 -> [2363] cB(B8_23_2)
% 196.44/46.73
% 196.44/46.73 [2362] BETA_NOT_AND : ~(=(B8_23_2, B8_23_2) & cB(B8_23_2))
% 196.44/46.73 -> [2372] ~=(B8_23_2, B8_23_2)
% 196.44/46.73 -> [2373] ~cB(B8_23_2)
% 196.44/46.73
% 196.44/46.73 [2372] CLOSURE : ~=(B8_23_2, B8_23_2)
% 196.44/46.73
% 196.44/46.73 [2373] CLOSURE : ~cB(B8_23_2)
% 196.44/46.73
% 196.44/46.73 [2363] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.73 -> [2396] ((=(B10_32_3, B10_32_3) & cowlNothing(B10_32_3)) => cowlNothing(B10_32_3))
% 196.44/46.73
% 196.44/46.73 [2396] BETA_IMPLY : ((=(B10_32_3, B10_32_3) & cowlNothing(B10_32_3)) => cowlNothing(B10_32_3))
% 196.44/46.73 -> [2397] ~(=(B10_32_3, B10_32_3) & cowlNothing(B10_32_3))
% 196.44/46.73 -> [2398] cowlNothing(B10_32_3)
% 196.44/46.74
% 196.44/46.74 [2398] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2409] ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.74
% 196.44/46.74 [2409] BETA_IMPLY : ((=(ia, skolem_X2222) & cowlThing(ia)) => cowlThing(skolem_X2222))
% 196.44/46.74 -> [2410] ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.74 -> [2411] cowlThing(skolem_X2222)
% 196.44/46.74
% 196.44/46.74 [2411] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.74
% 196.44/46.74 [2410] BETA_NOT_AND : ~(=(ia, skolem_X2222) & cowlThing(ia))
% 196.44/46.74 -> [2487] ~=(ia, skolem_X2222)
% 196.44/46.74 -> [2488] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2488] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2487] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2546] ((=(B14_60_5, B14_60_5) & xsd_integer(B14_60_5)) => xsd_integer(B14_60_5))
% 196.44/46.74
% 196.44/46.74 [2546] BETA_IMPLY : ((=(B14_60_5, B14_60_5) & xsd_integer(B14_60_5)) => xsd_integer(B14_60_5))
% 196.44/46.74 -> [2547] ~(=(B14_60_5, B14_60_5) & xsd_integer(B14_60_5))
% 196.44/46.74 -> [2548] xsd_integer(B14_60_5)
% 196.44/46.74
% 196.44/46.74 [2547] BETA_NOT_AND : ~(=(B14_60_5, B14_60_5) & xsd_integer(B14_60_5))
% 196.44/46.74 -> [2549] ~=(B14_60_5, B14_60_5)
% 196.44/46.74 -> [2550] ~xsd_integer(B14_60_5)
% 196.44/46.74
% 196.44/46.74 [2549] CLOSURE : ~=(B14_60_5, B14_60_5)
% 196.44/46.74
% 196.44/46.74 [2550] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2558] ((=(B16_109_6, B16_109_6) & xsd_string(B16_109_6)) => xsd_string(B16_109_6))
% 196.44/46.74
% 196.44/46.74 [2558] BETA_IMPLY : ((=(B16_109_6, B16_109_6) & xsd_string(B16_109_6)) => xsd_string(B16_109_6))
% 196.44/46.74 -> [2559] ~(=(B16_109_6, B16_109_6) & xsd_string(B16_109_6))
% 196.44/46.74 -> [2560] xsd_string(B16_109_6)
% 196.44/46.74
% 196.44/46.74 [2560] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2575] (cowlThing(X17_203_7) & ~cowlNothing(X17_203_7))
% 196.44/46.74
% 196.44/46.74 [2575] ALPHA_AND : (cowlThing(X17_203_7) & ~cowlNothing(X17_203_7))
% 196.44/46.74 -> [2576] cowlThing(X17_203_7), ~cowlNothing(X17_203_7)
% 196.44/46.74
% 196.44/46.74 [2576] CLOSURE : cowlThing(X17_203_7)
% 196.44/46.74
% 196.44/46.74 [2559] BETA_NOT_AND : ~(=(B16_109_6, B16_109_6) & xsd_string(B16_109_6))
% 196.44/46.74 -> [2565] ~=(B16_109_6, B16_109_6)
% 196.44/46.74 -> [2566] ~xsd_string(B16_109_6)
% 196.44/46.74
% 196.44/46.74 [2565] CLOSURE : ~=(B16_109_6, B16_109_6)
% 196.44/46.74
% 196.44/46.74 [2566] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2578] (cowlThing(X17_205_7) & ~cowlNothing(X17_205_7))
% 196.44/46.74
% 196.44/46.74 [2578] ALPHA_AND : (cowlThing(X17_205_7) & ~cowlNothing(X17_205_7))
% 196.44/46.74 -> [2580] cowlThing(X17_205_7), ~cowlNothing(X17_205_7)
% 196.44/46.74
% 196.44/46.74 [2580] CLOSURE : cowlThing(X17_205_7)
% 196.44/46.74
% 196.44/46.74 [2548] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2552] ((=(B16_108_6, B16_108_6) & xsd_string(B16_108_6)) => xsd_string(B16_108_6))
% 196.44/46.74
% 196.44/46.74 [2552] BETA_IMPLY : ((=(B16_108_6, B16_108_6) & xsd_string(B16_108_6)) => xsd_string(B16_108_6))
% 196.44/46.74 -> [2553] ~(=(B16_108_6, B16_108_6) & xsd_string(B16_108_6))
% 196.44/46.74 -> [2554] xsd_string(B16_108_6)
% 196.44/46.74
% 196.44/46.74 [2554] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2577] (cowlThing(X17_204_7) & ~cowlNothing(X17_204_7))
% 196.44/46.74
% 196.44/46.74 [2577] ALPHA_AND : (cowlThing(X17_204_7) & ~cowlNothing(X17_204_7))
% 196.44/46.74 -> [2579] cowlThing(X17_204_7), ~cowlNothing(X17_204_7)
% 196.44/46.74
% 196.44/46.74 [2579] CLOSURE : cowlThing(X17_204_7)
% 196.44/46.74
% 196.44/46.74 [2553] BETA_NOT_AND : ~(=(B16_108_6, B16_108_6) & xsd_string(B16_108_6))
% 196.44/46.74 -> [2561] ~=(B16_108_6, B16_108_6)
% 196.44/46.74 -> [2562] ~xsd_string(B16_108_6)
% 196.44/46.74
% 196.44/46.74 [2561] CLOSURE : ~=(B16_108_6, B16_108_6)
% 196.44/46.74
% 196.44/46.74 [2562] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2585] (cowlThing(X17_207_7) & ~cowlNothing(X17_207_7))
% 196.44/46.74
% 196.44/46.74 [2585] ALPHA_AND : (cowlThing(X17_207_7) & ~cowlNothing(X17_207_7))
% 196.44/46.74 -> [2586] cowlThing(X17_207_7), ~cowlNothing(X17_207_7)
% 196.44/46.74
% 196.44/46.74 [2586] CLOSURE : cowlThing(X17_207_7)
% 196.44/46.74
% 196.44/46.74 [2397] BETA_NOT_AND : ~(=(B10_32_3, B10_32_3) & cowlNothing(B10_32_3))
% 196.44/46.74 -> [2399] ~=(B10_32_3, B10_32_3)
% 196.44/46.74 -> [2400] ~cowlNothing(B10_32_3)
% 196.44/46.74
% 196.44/46.74 [2399] CLOSURE : ~=(B10_32_3, B10_32_3)
% 196.44/46.74
% 196.44/46.74 [2400] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2412] ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.74
% 196.44/46.74 [2412] BETA_IMPLY : ((=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222)) => cowlThing(skolem_X2222))
% 196.44/46.74 -> [2413] ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.74 -> [2414] cowlThing(skolem_X2222)
% 196.44/46.74
% 196.44/46.74 [2414] CLOSURE : cowlThing(skolem_X2222)
% 196.44/46.74
% 196.44/46.74 [2413] BETA_NOT_AND : ~(=(skolem_X2222, skolem_X2222) & cowlThing(skolem_X2222))
% 196.44/46.74 -> [2439] ~=(skolem_X2222, skolem_X2222)
% 196.44/46.74 -> [2440] ~cowlThing(skolem_X2222)
% 196.44/46.74
% 196.44/46.74 [2439] CLOSURE : ~=(skolem_X2222, skolem_X2222)
% 196.44/46.74
% 196.44/46.74 [2440] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2529] ((=(B14_59_5, B14_59_5) & xsd_integer(B14_59_5)) => xsd_integer(B14_59_5))
% 196.44/46.74
% 196.44/46.74 [2529] BETA_IMPLY : ((=(B14_59_5, B14_59_5) & xsd_integer(B14_59_5)) => xsd_integer(B14_59_5))
% 196.44/46.74 -> [2530] ~(=(B14_59_5, B14_59_5) & xsd_integer(B14_59_5))
% 196.44/46.74 -> [2531] xsd_integer(B14_59_5)
% 196.44/46.74
% 196.44/46.74 [2531] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2589] ((=(B16_112_6, B16_112_6) & xsd_string(B16_112_6)) => xsd_string(B16_112_6))
% 196.44/46.74
% 196.44/46.74 [2589] BETA_IMPLY : ((=(B16_112_6, B16_112_6) & xsd_string(B16_112_6)) => xsd_string(B16_112_6))
% 196.44/46.74 -> [2591] ~(=(B16_112_6, B16_112_6) & xsd_string(B16_112_6))
% 196.44/46.74 -> [2592] xsd_string(B16_112_6)
% 196.44/46.74
% 196.44/46.74 [2592] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2606] (cowlThing(X17_211_7) & ~cowlNothing(X17_211_7))
% 196.44/46.74
% 196.44/46.74 [2606] ALPHA_AND : (cowlThing(X17_211_7) & ~cowlNothing(X17_211_7))
% 196.44/46.74 -> [2607] cowlThing(X17_211_7), ~cowlNothing(X17_211_7)
% 196.44/46.74
% 196.44/46.74 [2607] CLOSURE : cowlThing(X17_211_7)
% 196.44/46.74
% 196.44/46.74 [2591] BETA_NOT_AND : ~(=(B16_112_6, B16_112_6) & xsd_string(B16_112_6))
% 196.44/46.74 -> [2594] ~=(B16_112_6, B16_112_6)
% 196.44/46.74 -> [2595] ~xsd_string(B16_112_6)
% 196.44/46.74
% 196.44/46.74 [2594] CLOSURE : ~=(B16_112_6, B16_112_6)
% 196.44/46.74
% 196.44/46.74 [2595] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2608] (cowlThing(X17_212_7) & ~cowlNothing(X17_212_7))
% 196.44/46.74
% 196.44/46.74 [2608] ALPHA_AND : (cowlThing(X17_212_7) & ~cowlNothing(X17_212_7))
% 196.44/46.74 -> [2609] cowlThing(X17_212_7), ~cowlNothing(X17_212_7)
% 196.44/46.74
% 196.44/46.74 [2609] CLOSURE : cowlThing(X17_212_7)
% 196.44/46.74
% 196.44/46.74 [2530] BETA_NOT_AND : ~(=(B14_59_5, B14_59_5) & xsd_integer(B14_59_5))
% 196.44/46.74 -> [2532] ~=(B14_59_5, B14_59_5)
% 196.44/46.74 -> [2533] ~xsd_integer(B14_59_5)
% 196.44/46.74
% 196.44/46.74 [2532] CLOSURE : ~=(B14_59_5, B14_59_5)
% 196.44/46.74
% 196.44/46.74 [2533] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2570] ((=(B16_111_6, B16_111_6) & xsd_string(B16_111_6)) => xsd_string(B16_111_6))
% 196.44/46.74
% 196.44/46.74 [2570] BETA_IMPLY : ((=(B16_111_6, B16_111_6) & xsd_string(B16_111_6)) => xsd_string(B16_111_6))
% 196.44/46.74 -> [2571] ~(=(B16_111_6, B16_111_6) & xsd_string(B16_111_6))
% 196.44/46.74 -> [2572] xsd_string(B16_111_6)
% 196.44/46.74
% 196.44/46.74 [2572] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2600] (cowlThing(X17_208_7) & ~cowlNothing(X17_208_7))
% 196.44/46.74
% 196.44/46.74 [2600] ALPHA_AND : (cowlThing(X17_208_7) & ~cowlNothing(X17_208_7))
% 196.44/46.74 -> [2601] cowlThing(X17_208_7), ~cowlNothing(X17_208_7)
% 196.44/46.74
% 196.44/46.74 [2601] CLOSURE : cowlThing(X17_208_7)
% 196.44/46.74
% 196.44/46.74 [2571] BETA_NOT_AND : ~(=(B16_111_6, B16_111_6) & xsd_string(B16_111_6))
% 196.44/46.74 -> [2587] ~=(B16_111_6, B16_111_6)
% 196.44/46.74 -> [2588] ~xsd_string(B16_111_6)
% 196.44/46.74
% 196.44/46.74 [2587] CLOSURE : ~=(B16_111_6, B16_111_6)
% 196.44/46.74
% 196.44/46.74 [2588] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2604] (cowlThing(X17_210_7) & ~cowlNothing(X17_210_7))
% 196.44/46.74
% 196.44/46.74 [2604] ALPHA_AND : (cowlThing(X17_210_7) & ~cowlNothing(X17_210_7))
% 196.44/46.74 -> [2605] cowlThing(X17_210_7), ~cowlNothing(X17_210_7)
% 196.44/46.74
% 196.44/46.74 [2605] CLOSURE : cowlThing(X17_210_7)
% 196.44/46.74
% 196.44/46.74 [9] DELTA_NOT_FORALL : ~! [X23_23] : ((xsd_string(X23_23) <=> ~xsd_integer(X23_23)))
% 196.44/46.74 -> [13] ~(xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [13] BETA_NOT_EQUIV : ~(xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [15] ~xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [16] xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [16] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [36] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [36] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.74 -> [48] ((=(B4_3_0, B4_3_0) & cA(B4_3_0)) => cA(B4_3_0))
% 196.44/46.74
% 196.44/46.74 [48] BETA_IMPLY : ((=(B4_3_0, B4_3_0) & cA(B4_3_0)) => cA(B4_3_0))
% 196.44/46.74 -> [53] ~(=(B4_3_0, B4_3_0) & cA(B4_3_0))
% 196.44/46.74 -> [54] cA(B4_3_0)
% 196.44/46.74
% 196.44/46.74 [54] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.74 -> [361] ((=(B6_11_1, B6_11_1) & cA_and_B(B6_11_1)) => cA_and_B(B6_11_1))
% 196.44/46.74
% 196.44/46.74 [361] BETA_IMPLY : ((=(B6_11_1, B6_11_1) & cA_and_B(B6_11_1)) => cA_and_B(B6_11_1))
% 196.44/46.74 -> [362] ~(=(B6_11_1, B6_11_1) & cA_and_B(B6_11_1))
% 196.44/46.74 -> [363] cA_and_B(B6_11_1)
% 196.44/46.74
% 196.44/46.74 [362] BETA_NOT_AND : ~(=(B6_11_1, B6_11_1) & cA_and_B(B6_11_1))
% 196.44/46.74 -> [384] ~=(B6_11_1, B6_11_1)
% 196.44/46.74 -> [385] ~cA_and_B(B6_11_1)
% 196.44/46.74
% 196.44/46.74 [384] CLOSURE : ~=(B6_11_1, B6_11_1)
% 196.44/46.74
% 196.44/46.74 [385] ALPHA_NOT_OR : ~(cA(B6_11_1) | cB(B6_11_1))
% 196.44/46.74 -> [981] ~cA(B6_11_1), ~cB(B6_11_1)
% 196.44/46.74
% 196.44/46.74 [981] CLOSURE : ~cA(B6_11_1)
% 196.44/46.74
% 196.44/46.74 [363] Rewrite : cA_and_B(B6_11_1)
% 196.44/46.74 -> [388] (cA(B6_11_1) | cB(B6_11_1))
% 196.44/46.74
% 196.44/46.74 [388] BETA_OR : (cA(B6_11_1) | cB(B6_11_1))
% 196.44/46.74 -> [392] cA(B6_11_1)
% 196.44/46.74 -> [393] cB(B6_11_1)
% 196.44/46.74
% 196.44/46.74 [393] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [879] ((=(B8_20_2, B8_20_2) & cB(B8_20_2)) => cB(B8_20_2))
% 196.44/46.74
% 196.44/46.74 [879] BETA_IMPLY : ((=(B8_20_2, B8_20_2) & cB(B8_20_2)) => cB(B8_20_2))
% 196.44/46.74 -> [880] ~(=(B8_20_2, B8_20_2) & cB(B8_20_2))
% 196.44/46.74 -> [881] cB(B8_20_2)
% 196.44/46.74
% 196.44/46.74 [880] BETA_NOT_AND : ~(=(B8_20_2, B8_20_2) & cB(B8_20_2))
% 196.44/46.74 -> [886] ~=(B8_20_2, B8_20_2)
% 196.44/46.74 -> [887] ~cB(B8_20_2)
% 196.44/46.74
% 196.44/46.74 [886] CLOSURE : ~=(B8_20_2, B8_20_2)
% 196.44/46.74
% 196.44/46.74 [887] CLOSURE : ~cB(B8_20_2)
% 196.44/46.74
% 196.44/46.74 [881] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [893] ((=(B10_21_3, B10_21_3) & cowlNothing(B10_21_3)) => cowlNothing(B10_21_3))
% 196.44/46.74
% 196.44/46.74 [893] BETA_IMPLY : ((=(B10_21_3, B10_21_3) & cowlNothing(B10_21_3)) => cowlNothing(B10_21_3))
% 196.44/46.74 -> [895] ~(=(B10_21_3, B10_21_3) & cowlNothing(B10_21_3))
% 196.44/46.74 -> [896] cowlNothing(B10_21_3)
% 196.44/46.74
% 196.44/46.74 [896] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [927] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [927] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [928] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [929] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [928] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [937] ~=(ib, ib)
% 196.44/46.74 -> [938] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [938] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [937] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [929] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [952] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [952] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [953] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [954] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [953] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [962] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [963] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [962] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [963] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [954] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [978] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [978] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [979] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [980] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [980] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1008] (cowlThing(X17_42_7) & ~cowlNothing(X17_42_7))
% 196.44/46.74
% 196.44/46.74 [1008] ALPHA_AND : (cowlThing(X17_42_7) & ~cowlNothing(X17_42_7))
% 196.44/46.74 -> [1009] cowlThing(X17_42_7), ~cowlNothing(X17_42_7)
% 196.44/46.74
% 196.44/46.74 [1009] CLOSURE : ~cowlNothing(X17_42_7)
% 196.44/46.74
% 196.44/46.74 [979] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [993] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [994] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [994] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [993] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [895] BETA_NOT_AND : ~(=(B10_21_3, B10_21_3) & cowlNothing(B10_21_3))
% 196.44/46.74 -> [905] ~=(B10_21_3, B10_21_3)
% 196.44/46.74 -> [906] ~cowlNothing(B10_21_3)
% 196.44/46.74
% 196.44/46.74 [905] CLOSURE : ~=(B10_21_3, B10_21_3)
% 196.44/46.74
% 196.44/46.74 [906] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [944] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [944] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [945] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [946] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [946] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [973] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [973] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [974] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [975] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [975] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1005] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1005] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1006] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1007] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1006] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1011] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1012] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1011] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1012] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1007] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1016] (cowlThing(X17_43_7) & ~cowlNothing(X17_43_7))
% 196.44/46.74
% 196.44/46.74 [1016] ALPHA_AND : (cowlThing(X17_43_7) & ~cowlNothing(X17_43_7))
% 196.44/46.74 -> [1017] cowlThing(X17_43_7), ~cowlNothing(X17_43_7)
% 196.44/46.74
% 196.44/46.74 [1017] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1048] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1048] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1049] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1050] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1050] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1049] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1061] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1061] CLOSURE : ~~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [974] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [986] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [987] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [987] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [986] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [945] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [957] ~=(ib, ib)
% 196.44/46.74 -> [958] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [958] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [957] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [392] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [664] ((=(B8_16_2, B8_16_2) & cB(B8_16_2)) => cB(B8_16_2))
% 196.44/46.74
% 196.44/46.74 [664] BETA_IMPLY : ((=(B8_16_2, B8_16_2) & cB(B8_16_2)) => cB(B8_16_2))
% 196.44/46.74 -> [665] ~(=(B8_16_2, B8_16_2) & cB(B8_16_2))
% 196.44/46.74 -> [666] cB(B8_16_2)
% 196.44/46.74
% 196.44/46.74 [666] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [788] ((=(B10_17_3, B10_17_3) & cowlNothing(B10_17_3)) => cowlNothing(B10_17_3))
% 196.44/46.74
% 196.44/46.74 [788] BETA_IMPLY : ((=(B10_17_3, B10_17_3) & cowlNothing(B10_17_3)) => cowlNothing(B10_17_3))
% 196.44/46.74 -> [790] ~(=(B10_17_3, B10_17_3) & cowlNothing(B10_17_3))
% 196.44/46.74 -> [791] cowlNothing(B10_17_3)
% 196.44/46.74
% 196.44/46.74 [791] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [1586] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [1586] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [1587] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1588] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1587] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1595] ~=(ib, ib)
% 196.44/46.74 -> [1596] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1595] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [1596] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1588] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1600] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1600] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1601] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1602] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1602] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1634] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1634] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1635] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1636] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1636] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1680] (cowlThing(X17_108_7) & ~cowlNothing(X17_108_7))
% 196.44/46.74
% 196.44/46.74 [1680] ALPHA_AND : (cowlThing(X17_108_7) & ~cowlNothing(X17_108_7))
% 196.44/46.74 -> [1681] cowlThing(X17_108_7), ~cowlNothing(X17_108_7)
% 196.44/46.74
% 196.44/46.74 [1681] CLOSURE : ~cowlNothing(X17_108_7)
% 196.44/46.74
% 196.44/46.74 [1635] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1645] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1646] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1645] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1646] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1601] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1608] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1609] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1609] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1608] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [790] BETA_NOT_AND : ~(=(B10_17_3, B10_17_3) & cowlNothing(B10_17_3))
% 196.44/46.74 -> [807] ~=(B10_17_3, B10_17_3)
% 196.44/46.74 -> [808] ~cowlNothing(B10_17_3)
% 196.44/46.74
% 196.44/46.74 [807] CLOSURE : ~=(B10_17_3, B10_17_3)
% 196.44/46.74
% 196.44/46.74 [808] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [1642] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [1642] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [1643] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1644] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1643] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1652] ~=(ib, ib)
% 196.44/46.74 -> [1653] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1652] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [1653] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1644] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1669] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1669] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1670] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1671] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1670] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1682] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1683] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1682] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1683] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1671] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1703] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1703] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1704] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1705] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1704] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1717] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1718] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1718] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1717] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1705] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1731] (cowlThing(X17_115_7) & ~cowlNothing(X17_115_7))
% 196.44/46.74
% 196.44/46.74 [1731] ALPHA_AND : (cowlThing(X17_115_7) & ~cowlNothing(X17_115_7))
% 196.44/46.74 -> [1732] cowlThing(X17_115_7), ~cowlNothing(X17_115_7)
% 196.44/46.74
% 196.44/46.74 [1732] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1760] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1760] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1761] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1762] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1762] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1761] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1770] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1770] CLOSURE : ~~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [665] BETA_NOT_AND : ~(=(B8_16_2, B8_16_2) & cB(B8_16_2))
% 196.44/46.74 -> [733] ~=(B8_16_2, B8_16_2)
% 196.44/46.74 -> [734] ~cB(B8_16_2)
% 196.44/46.74
% 196.44/46.74 [733] CLOSURE : ~=(B8_16_2, B8_16_2)
% 196.44/46.74
% 196.44/46.74 [734] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [1614] ((=(B10_26_3, B10_26_3) & cowlNothing(B10_26_3)) => cowlNothing(B10_26_3))
% 196.44/46.74
% 196.44/46.74 [1614] BETA_IMPLY : ((=(B10_26_3, B10_26_3) & cowlNothing(B10_26_3)) => cowlNothing(B10_26_3))
% 196.44/46.74 -> [1615] ~(=(B10_26_3, B10_26_3) & cowlNothing(B10_26_3))
% 196.44/46.74 -> [1616] cowlNothing(B10_26_3)
% 196.44/46.74
% 196.44/46.74 [1616] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [1687] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [1687] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [1688] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1689] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1688] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1721] ~=(ib, ib)
% 196.44/46.74 -> [1722] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1722] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1721] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [1689] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1753] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1753] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1754] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1755] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1755] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1777] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1777] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1778] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1779] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1778] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1797] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1798] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1797] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1798] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1779] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1802] (cowlThing(X17_124_7) & ~cowlNothing(X17_124_7))
% 196.44/46.74
% 196.44/46.74 [1802] ALPHA_AND : (cowlThing(X17_124_7) & ~cowlNothing(X17_124_7))
% 196.44/46.74 -> [1803] cowlThing(X17_124_7), ~cowlNothing(X17_124_7)
% 196.44/46.74
% 196.44/46.74 [1803] CLOSURE : ~cowlNothing(X17_124_7)
% 196.44/46.74
% 196.44/46.74 [1754] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1767] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1768] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1768] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1767] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1615] BETA_NOT_AND : ~(=(B10_26_3, B10_26_3) & cowlNothing(B10_26_3))
% 196.44/46.74 -> [1648] ~=(B10_26_3, B10_26_3)
% 196.44/46.74 -> [1649] ~cowlNothing(B10_26_3)
% 196.44/46.74
% 196.44/46.74 [1648] CLOSURE : ~=(B10_26_3, B10_26_3)
% 196.44/46.74
% 196.44/46.74 [1649] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [1748] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [1748] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [1749] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1750] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1749] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1758] ~=(ib, ib)
% 196.44/46.74 -> [1759] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1759] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1758] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [1750] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1788] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1788] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1789] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1790] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1789] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1807] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1808] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1807] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1808] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1790] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1815] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1815] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1816] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1817] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1817] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1826] (cowlThing(X17_125_7) & ~cowlNothing(X17_125_7))
% 196.44/46.74
% 196.44/46.74 [1826] ALPHA_AND : (cowlThing(X17_125_7) & ~cowlNothing(X17_125_7))
% 196.44/46.74 -> [1827] cowlThing(X17_125_7), ~cowlNothing(X17_125_7)
% 196.44/46.74
% 196.44/46.74 [1827] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1841] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1841] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1842] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1843] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1843] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1842] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1847] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1847] CLOSURE : ~~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1816] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1819] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1820] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1819] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1820] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [53] BETA_NOT_AND : ~(=(B4_3_0, B4_3_0) & cA(B4_3_0))
% 196.44/46.74 -> [73] ~=(B4_3_0, B4_3_0)
% 196.44/46.74 -> [74] ~cA(B4_3_0)
% 196.44/46.74
% 196.44/46.74 [73] CLOSURE : ~=(B4_3_0, B4_3_0)
% 196.44/46.74
% 196.44/46.74 [74] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.74 -> [201] ((=(B6_10_1, B6_10_1) & cA_and_B(B6_10_1)) => cA_and_B(B6_10_1))
% 196.44/46.74
% 196.44/46.74 [201] BETA_IMPLY : ((=(B6_10_1, B6_10_1) & cA_and_B(B6_10_1)) => cA_and_B(B6_10_1))
% 196.44/46.74 -> [202] ~(=(B6_10_1, B6_10_1) & cA_and_B(B6_10_1))
% 196.44/46.74 -> [203] cA_and_B(B6_10_1)
% 196.44/46.74
% 196.44/46.74 [202] BETA_NOT_AND : ~(=(B6_10_1, B6_10_1) & cA_and_B(B6_10_1))
% 196.44/46.74 -> [211] ~=(B6_10_1, B6_10_1)
% 196.44/46.74 -> [212] ~cA_and_B(B6_10_1)
% 196.44/46.74
% 196.44/46.74 [211] CLOSURE : ~=(B6_10_1, B6_10_1)
% 196.44/46.74
% 196.44/46.74 [212] Rewrite : ~cA_and_B(B6_10_1)
% 196.44/46.74 -> [318] ~(cA(B6_10_1) | cB(B6_10_1))
% 196.44/46.74
% 196.44/46.74 [318] ALPHA_NOT_OR : ~(cA(B8_22_2) | cB(B8_22_2))
% 196.44/46.74 -> [319] ~cA(B8_22_2), ~cB(B8_22_2)
% 196.44/46.74
% 196.44/46.74 [319] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [1067] ((=(B8_22_2, B8_22_2) & cB(B8_22_2)) => cB(B8_22_2))
% 196.44/46.74
% 196.44/46.74 [1067] BETA_IMPLY : ((=(B8_22_2, B8_22_2) & cB(B8_22_2)) => cB(B8_22_2))
% 196.44/46.74 -> [1068] ~(=(B8_22_2, B8_22_2) & cB(B8_22_2))
% 196.44/46.74 -> [1069] cB(B8_22_2)
% 196.44/46.74
% 196.44/46.74 [1069] CLOSURE : cB(B8_22_2)
% 196.44/46.74
% 196.44/46.74 [1068] BETA_NOT_AND : ~(=(B8_22_2, B8_22_2) & cB(B8_22_2))
% 196.44/46.74 -> [2389] ~=(B8_22_2, B8_22_2)
% 196.44/46.74 -> [2390] ~cB(B8_22_2)
% 196.44/46.74
% 196.44/46.74 [2389] CLOSURE : ~=(B8_22_2, B8_22_2)
% 196.44/46.74
% 196.44/46.74 [2390] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [2424] ((=(B10_33_3, B10_33_3) & cowlNothing(B10_33_3)) => cowlNothing(B10_33_3))
% 196.44/46.74
% 196.44/46.74 [2424] BETA_IMPLY : ((=(B10_33_3, B10_33_3) & cowlNothing(B10_33_3)) => cowlNothing(B10_33_3))
% 196.44/46.74 -> [2425] ~(=(B10_33_3, B10_33_3) & cowlNothing(B10_33_3))
% 196.44/46.74 -> [2426] cowlNothing(B10_33_3)
% 196.44/46.74
% 196.44/46.74 [2425] BETA_NOT_AND : ~(=(B10_33_3, B10_33_3) & cowlNothing(B10_33_3))
% 196.44/46.74 -> [2430] ~=(B10_33_3, B10_33_3)
% 196.44/46.74 -> [2431] ~cowlNothing(B10_33_3)
% 196.44/46.74
% 196.44/46.74 [2430] CLOSURE : ~=(B10_33_3, B10_33_3)
% 196.44/46.74
% 196.44/46.74 [2431] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2451] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [2451] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [2452] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2453] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2452] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2454] ~=(ib, ib)
% 196.44/46.74 -> [2455] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2455] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2454] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [2453] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2463] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2463] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2465] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2466] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2465] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2470] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2471] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2470] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2471] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2466] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2477] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2477] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2478] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2479] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2479] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2500] (cowlThing(X17_197_7) & ~cowlNothing(X17_197_7))
% 196.44/46.74
% 196.44/46.74 [2500] ALPHA_AND : (cowlThing(X17_197_7) & ~cowlNothing(X17_197_7))
% 196.44/46.74 -> [2501] cowlThing(X17_197_7), ~cowlNothing(X17_197_7)
% 196.44/46.74
% 196.44/46.74 [2501] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [2521] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2521] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2522] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2523] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2523] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2522] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2543] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2543] CLOSURE : ~~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2478] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2483] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2484] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2484] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2483] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2426] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2443] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [2443] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [2444] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2445] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2444] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2446] ~=(ib, ib)
% 196.44/46.74 -> [2447] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2447] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2446] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [2445] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2480] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2480] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2481] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2482] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2481] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2489] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2490] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2489] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2490] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2482] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2505] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2505] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2506] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2507] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2507] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2534] (cowlThing(X17_200_7) & ~cowlNothing(X17_200_7))
% 196.44/46.74
% 196.44/46.74 [2534] ALPHA_AND : (cowlThing(X17_200_7) & ~cowlNothing(X17_200_7))
% 196.44/46.74 -> [2537] cowlThing(X17_200_7), ~cowlNothing(X17_200_7)
% 196.44/46.74
% 196.44/46.74 [2537] CLOSURE : ~cowlNothing(X17_200_7)
% 196.44/46.74
% 196.44/46.74 [2506] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2515] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2516] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2516] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2515] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [203] BETA_OR : (cA(B6_10_1) | cB(B6_10_1))
% 196.44/46.74 -> [2667] cA(B6_10_1)
% 196.44/46.74 -> [2668] cB(B6_10_1)
% 196.44/46.74
% 196.44/46.74 [2667] CLOSURE : cA(B6_10_1)
% 196.44/46.74
% 196.44/46.74 [2668] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [2673] ((=(B8_26_2, B8_26_2) & cB(B8_26_2)) => cB(B8_26_2))
% 196.44/46.74
% 196.44/46.74 [2673] BETA_IMPLY : ((=(B8_26_2, B8_26_2) & cB(B8_26_2)) => cB(B8_26_2))
% 196.44/46.74 -> [2674] ~(=(B8_26_2, B8_26_2) & cB(B8_26_2))
% 196.44/46.74 -> [2675] cB(B8_26_2)
% 196.44/46.74
% 196.44/46.74 [2674] BETA_NOT_AND : ~(=(B8_26_2, B8_26_2) & cB(B8_26_2))
% 196.44/46.74 -> [2676] ~=(B8_26_2, B8_26_2)
% 196.44/46.74 -> [2677] ~cB(B8_26_2)
% 196.44/46.74
% 196.44/46.74 [2676] CLOSURE : ~=(B8_26_2, B8_26_2)
% 196.44/46.74
% 196.44/46.74 [2677] CLOSURE : ~cB(B8_26_2)
% 196.44/46.74
% 196.44/46.74 [2675] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [2695] ((=(B10_35_3, B10_35_3) & cowlNothing(B10_35_3)) => cowlNothing(B10_35_3))
% 196.44/46.74
% 196.44/46.74 [2695] BETA_IMPLY : ((=(B10_35_3, B10_35_3) & cowlNothing(B10_35_3)) => cowlNothing(B10_35_3))
% 196.44/46.74 -> [2696] ~(=(B10_35_3, B10_35_3) & cowlNothing(B10_35_3))
% 196.44/46.74 -> [2697] cowlNothing(B10_35_3)
% 196.44/46.74
% 196.44/46.74 [2697] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2710] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [2710] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [2711] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [2712] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2711] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [2717] ~=(ia, ia)
% 196.44/46.74 -> [2718] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2718] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2717] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [2712] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2727] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2727] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2728] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2729] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2728] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2735] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2736] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2736] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2735] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2729] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2737] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2737] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2738] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2739] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2738] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2747] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2748] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2748] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2747] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2739] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2767] (cowlThing(X17_219_7) & ~cowlNothing(X17_219_7))
% 196.44/46.74
% 196.44/46.74 [2767] ALPHA_AND : (cowlThing(X17_219_7) & ~cowlNothing(X17_219_7))
% 196.44/46.74 -> [2768] cowlThing(X17_219_7), ~cowlNothing(X17_219_7)
% 196.44/46.74
% 196.44/46.74 [2768] CLOSURE : ~cowlNothing(X17_219_7)
% 196.44/46.74
% 196.44/46.74 [2696] BETA_NOT_AND : ~(=(B10_35_3, B10_35_3) & cowlNothing(B10_35_3))
% 196.44/46.74 -> [2700] ~=(B10_35_3, B10_35_3)
% 196.44/46.74 -> [2701] ~cowlNothing(B10_35_3)
% 196.44/46.74
% 196.44/46.74 [2700] CLOSURE : ~=(B10_35_3, B10_35_3)
% 196.44/46.74
% 196.44/46.74 [2701] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2722] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [2722] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [2723] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2724] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2723] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2730] ~=(ib, ib)
% 196.44/46.74 -> [2731] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2730] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [2731] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2724] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2740] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2740] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2741] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2742] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2741] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2745] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2746] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2746] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2745] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2742] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2759] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2759] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2760] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2761] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2760] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2762] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2763] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2763] CLOSURE : ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2762] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2761] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2774] (cowlThing(X17_222_7) & ~cowlNothing(X17_222_7))
% 196.44/46.74
% 196.44/46.74 [2774] ALPHA_AND : (cowlThing(X17_222_7) & ~cowlNothing(X17_222_7))
% 196.44/46.74 -> [2775] cowlThing(X17_222_7), ~cowlNothing(X17_222_7)
% 196.44/46.74
% 196.44/46.74 [2775] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [2789] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2789] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2790] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2791] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2790] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2795] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2795] CLOSURE : ~~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2791] CLOSURE : ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [15] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.74 -> [24] ((=(B4_0_0, B4_0_0) & cA(B4_0_0)) => cA(B4_0_0))
% 196.44/46.74
% 196.44/46.74 [24] BETA_IMPLY : ((=(B4_0_0, B4_0_0) & cA(B4_0_0)) => cA(B4_0_0))
% 196.44/46.74 -> [27] ~(=(B4_0_0, B4_0_0) & cA(B4_0_0))
% 196.44/46.74 -> [28] cA(B4_0_0)
% 196.44/46.74
% 196.44/46.74 [28] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.74 -> [45] ((=(B6_1_1, B6_1_1) & cA_and_B(B6_1_1)) => cA_and_B(B6_1_1))
% 196.44/46.74
% 196.44/46.74 [45] BETA_IMPLY : ((=(B6_1_1, B6_1_1) & cA_and_B(B6_1_1)) => cA_and_B(B6_1_1))
% 196.44/46.74 -> [49] ~(=(B6_1_1, B6_1_1) & cA_and_B(B6_1_1))
% 196.44/46.74 -> [50] cA_and_B(B6_1_1)
% 196.44/46.74
% 196.44/46.74 [49] BETA_NOT_AND : ~(=(B6_1_1, B6_1_1) & cA_and_B(B6_1_1))
% 196.44/46.74 -> [60] ~=(B6_1_1, B6_1_1)
% 196.44/46.74 -> [61] ~cA_and_B(B6_1_1)
% 196.44/46.74
% 196.44/46.74 [61] Rewrite : ~cA_and_B(B6_1_1)
% 196.44/46.74 -> [154] ~(cA(B6_1_1) | cB(B6_1_1))
% 196.44/46.74
% 196.44/46.74 [154] ALPHA_NOT_OR : ~(cA(B6_1_1) | cB(B6_1_1))
% 196.44/46.74 -> [155] ~cA(B6_1_1), ~cB(B6_1_1)
% 196.44/46.74
% 196.44/46.74 [155] CLOSURE : ~cA(B6_1_1)
% 196.44/46.74
% 196.44/46.74 [60] CLOSURE : ~=(B6_1_1, B6_1_1)
% 196.44/46.74
% 196.44/46.74 [50] Rewrite : cA_and_B(B6_1_1)
% 196.44/46.74 -> [72] (cA(B6_1_1) | cB(B6_1_1))
% 196.44/46.74
% 196.44/46.74 [72] BETA_OR : (cA(B6_1_1) | cB(B6_1_1))
% 196.44/46.74 -> [75] cA(B6_1_1)
% 196.44/46.74 -> [76] cB(B6_1_1)
% 196.44/46.74
% 196.44/46.74 [76] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [175] ((=(B8_7_2, B8_7_2) & cB(B8_7_2)) => cB(B8_7_2))
% 196.44/46.74
% 196.44/46.74 [175] BETA_IMPLY : ((=(B8_7_2, B8_7_2) & cB(B8_7_2)) => cB(B8_7_2))
% 196.44/46.74 -> [176] ~(=(B8_7_2, B8_7_2) & cB(B8_7_2))
% 196.44/46.74 -> [177] cB(B8_7_2)
% 196.44/46.74
% 196.44/46.74 [176] BETA_NOT_AND : ~(=(B8_7_2, B8_7_2) & cB(B8_7_2))
% 196.44/46.74 -> [191] ~=(B8_7_2, B8_7_2)
% 196.44/46.74 -> [192] ~cB(B8_7_2)
% 196.44/46.74
% 196.44/46.74 [192] CLOSURE : ~cB(B8_7_2)
% 196.44/46.74
% 196.44/46.74 [191] CLOSURE : ~=(B8_7_2, B8_7_2)
% 196.44/46.74
% 196.44/46.74 [177] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [208] ((=(B10_4_3, B10_4_3) & cowlNothing(B10_4_3)) => cowlNothing(B10_4_3))
% 196.44/46.74
% 196.44/46.74 [208] BETA_IMPLY : ((=(B10_4_3, B10_4_3) & cowlNothing(B10_4_3)) => cowlNothing(B10_4_3))
% 196.44/46.74 -> [209] ~(=(B10_4_3, B10_4_3) & cowlNothing(B10_4_3))
% 196.44/46.74 -> [210] cowlNothing(B10_4_3)
% 196.44/46.74
% 196.44/46.74 [209] BETA_NOT_AND : ~(=(B10_4_3, B10_4_3) & cowlNothing(B10_4_3))
% 196.44/46.74 -> [213] ~=(B10_4_3, B10_4_3)
% 196.44/46.74 -> [214] ~cowlNothing(B10_4_3)
% 196.44/46.74
% 196.44/46.74 [213] CLOSURE : ~=(B10_4_3, B10_4_3)
% 196.44/46.74
% 196.44/46.74 [214] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [505] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [505] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [506] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [507] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [506] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [524] ~=(ib, ib)
% 196.44/46.74 -> [525] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [524] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [525] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [507] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [589] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [589] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [590] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [591] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [591] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [590] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1407] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1408] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1407] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1408] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1413] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1413] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1414] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1415] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1415] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1414] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1541] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1542] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1541] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1542] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1543] (cowlThing(X17_101_7) & ~cowlNothing(X17_101_7))
% 196.44/46.74
% 196.44/46.74 [1543] ALPHA_AND : (cowlThing(X17_101_7) & ~cowlNothing(X17_101_7))
% 196.44/46.74 -> [1544] cowlThing(X17_101_7), ~cowlNothing(X17_101_7)
% 196.44/46.74
% 196.44/46.74 [1544] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1550] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1550] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1551] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1552] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1552] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1551] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1556] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1556] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [210] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [237] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [237] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [238] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [239] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [238] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [246] ~=(ib, ib)
% 196.44/46.74 -> [247] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [246] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [247] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [239] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [297] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [297] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [299] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [300] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [300] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [299] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1672] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1673] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1672] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1673] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1690] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1690] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1691] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1692] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1692] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1691] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1740] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1741] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1740] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1741] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1751] (cowlThing(X17_122_7) & ~cowlNothing(X17_122_7))
% 196.44/46.74
% 196.44/46.74 [1751] ALPHA_AND : (cowlThing(X17_122_7) & ~cowlNothing(X17_122_7))
% 196.44/46.74 -> [1752] cowlThing(X17_122_7), ~cowlNothing(X17_122_7)
% 196.44/46.74
% 196.44/46.74 [1752] CLOSURE : ~cowlNothing(X17_122_7)
% 196.44/46.74
% 196.44/46.74 [75] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [337] ((=(B8_11_2, B8_11_2) & cB(B8_11_2)) => cB(B8_11_2))
% 196.44/46.74
% 196.44/46.74 [337] BETA_IMPLY : ((=(B8_11_2, B8_11_2) & cB(B8_11_2)) => cB(B8_11_2))
% 196.44/46.74 -> [340] ~(=(B8_11_2, B8_11_2) & cB(B8_11_2))
% 196.44/46.74 -> [341] cB(B8_11_2)
% 196.44/46.74
% 196.44/46.74 [341] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [349] ((=(B10_10_3, B10_10_3) & cowlNothing(B10_10_3)) => cowlNothing(B10_10_3))
% 196.44/46.74
% 196.44/46.74 [349] BETA_IMPLY : ((=(B10_10_3, B10_10_3) & cowlNothing(B10_10_3)) => cowlNothing(B10_10_3))
% 196.44/46.74 -> [350] ~(=(B10_10_3, B10_10_3) & cowlNothing(B10_10_3))
% 196.44/46.74 -> [351] cowlNothing(B10_10_3)
% 196.44/46.74
% 196.44/46.74 [351] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [366] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [366] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [367] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [368] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [367] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [372] ~=(ia, ia)
% 196.44/46.74 -> [373] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [373] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [372] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [368] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [389] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [389] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [390] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [391] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [391] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [390] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1134] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1135] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1134] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1135] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1150] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1150] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1153] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1154] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1154] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1153] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1180] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1181] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1180] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1181] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1190] (cowlThing(X17_57_7) & ~cowlNothing(X17_57_7))
% 196.44/46.74
% 196.44/46.74 [1190] ALPHA_AND : (cowlThing(X17_57_7) & ~cowlNothing(X17_57_7))
% 196.44/46.74 -> [1192] cowlThing(X17_57_7), ~cowlNothing(X17_57_7)
% 196.44/46.74
% 196.44/46.74 [1192] CLOSURE : ~cowlNothing(X17_57_7)
% 196.44/46.74
% 196.44/46.74 [350] BETA_NOT_AND : ~(=(B10_10_3, B10_10_3) & cowlNothing(B10_10_3))
% 196.44/46.74 -> [357] ~=(B10_10_3, B10_10_3)
% 196.44/46.74 -> [358] ~cowlNothing(B10_10_3)
% 196.44/46.74
% 196.44/46.74 [357] CLOSURE : ~=(B10_10_3, B10_10_3)
% 196.44/46.74
% 196.44/46.74 [358] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [374] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [374] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [375] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [376] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [376] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [406] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [406] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [408] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [409] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [409] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [408] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1366] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1367] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1366] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1367] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1372] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1372] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1374] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1375] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1375] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1374] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1456] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1457] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1456] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1457] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1465] (cowlThing(X17_92_7) & ~cowlNothing(X17_92_7))
% 196.44/46.74
% 196.44/46.74 [1465] ALPHA_AND : (cowlThing(X17_92_7) & ~cowlNothing(X17_92_7))
% 196.44/46.74 -> [1468] cowlThing(X17_92_7), ~cowlNothing(X17_92_7)
% 196.44/46.74
% 196.44/46.74 [1468] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1477] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1477] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1478] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1479] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1479] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1478] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1488] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1488] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [375] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [382] ~=(ia, ia)
% 196.44/46.74 -> [383] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [383] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [382] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [340] BETA_NOT_AND : ~(=(B8_11_2, B8_11_2) & cB(B8_11_2))
% 196.44/46.74 -> [344] ~=(B8_11_2, B8_11_2)
% 196.44/46.74 -> [345] ~cB(B8_11_2)
% 196.44/46.74
% 196.44/46.74 [344] CLOSURE : ~=(B8_11_2, B8_11_2)
% 196.44/46.74
% 196.44/46.74 [345] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [356] ((=(B10_11_3, B10_11_3) & cowlNothing(B10_11_3)) => cowlNothing(B10_11_3))
% 196.44/46.74
% 196.44/46.74 [356] BETA_IMPLY : ((=(B10_11_3, B10_11_3) & cowlNothing(B10_11_3)) => cowlNothing(B10_11_3))
% 196.44/46.74 -> [359] ~(=(B10_11_3, B10_11_3) & cowlNothing(B10_11_3))
% 196.44/46.74 -> [360] cowlNothing(B10_11_3)
% 196.44/46.74
% 196.44/46.74 [359] BETA_NOT_AND : ~(=(B10_11_3, B10_11_3) & cowlNothing(B10_11_3))
% 196.44/46.74 -> [364] ~=(B10_11_3, B10_11_3)
% 196.44/46.74 -> [365] ~cowlNothing(B10_11_3)
% 196.44/46.74
% 196.44/46.74 [364] CLOSURE : ~=(B10_11_3, B10_11_3)
% 196.44/46.74
% 196.44/46.74 [365] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [407] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [407] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [410] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [411] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [411] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [610] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [610] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [612] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [613] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [613] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [612] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1325] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1326] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1325] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1326] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1332] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1332] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [1333] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1334] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1334] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1333] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1382] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1383] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1382] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1383] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1386] (cowlThing(X17_81_7) & ~cowlNothing(X17_81_7))
% 196.44/46.74
% 196.44/46.74 [1386] ALPHA_AND : (cowlThing(X17_81_7) & ~cowlNothing(X17_81_7))
% 196.44/46.74 -> [1387] cowlThing(X17_81_7), ~cowlNothing(X17_81_7)
% 196.44/46.74
% 196.44/46.74 [1387] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1394] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [1394] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [1395] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1396] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1396] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1395] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [1409] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1409] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [410] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [423] ~=(ib, ib)
% 196.44/46.74 -> [424] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [423] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [424] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [360] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [396] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [396] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [399] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [400] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [399] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [419] ~=(ib, ib)
% 196.44/46.74 -> [420] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [420] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [419] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [400] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [853] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [853] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [854] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [855] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [855] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [854] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [984] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [985] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [984] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [985] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [990] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [990] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [991] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [992] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [992] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [991] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [1241] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [1242] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1241] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [1242] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1925] (cowlThing(X17_133_7) & ~cowlNothing(X17_133_7))
% 196.44/46.74
% 196.44/46.74 [1925] ALPHA_AND : (cowlThing(X17_133_7) & ~cowlNothing(X17_133_7))
% 196.44/46.74 -> [1927] cowlThing(X17_133_7), ~cowlNothing(X17_133_7)
% 196.44/46.74
% 196.44/46.74 [1927] CLOSURE : ~cowlNothing(X17_133_7)
% 196.44/46.74
% 196.44/46.74 [27] BETA_NOT_AND : ~(=(B4_0_0, B4_0_0) & cA(B4_0_0))
% 196.44/46.74 -> [34] ~=(B4_0_0, B4_0_0)
% 196.44/46.74 -> [35] ~cA(B4_0_0)
% 196.44/46.74
% 196.44/46.74 [34] CLOSURE : ~=(B4_0_0, B4_0_0)
% 196.44/46.74
% 196.44/46.74 [35] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.74 -> [40] ((=(B6_0_1, B6_0_1) & cA_and_B(B6_0_1)) => cA_and_B(B6_0_1))
% 196.44/46.74
% 196.44/46.74 [40] BETA_IMPLY : ((=(B6_0_1, B6_0_1) & cA_and_B(B6_0_1)) => cA_and_B(B6_0_1))
% 196.44/46.74 -> [41] ~(=(B6_0_1, B6_0_1) & cA_and_B(B6_0_1))
% 196.44/46.74 -> [42] cA_and_B(B6_0_1)
% 196.44/46.74
% 196.44/46.74 [41] BETA_NOT_AND : ~(=(B6_0_1, B6_0_1) & cA_and_B(B6_0_1))
% 196.44/46.74 -> [78] ~=(B6_0_1, B6_0_1)
% 196.44/46.74 -> [79] ~cA_and_B(B6_0_1)
% 196.44/46.74
% 196.44/46.74 [78] CLOSURE : ~=(B6_0_1, B6_0_1)
% 196.44/46.74
% 196.44/46.74 [79] Rewrite : ~cA_and_B(B6_0_1)
% 196.44/46.74 -> [85] ~(cA(B6_0_1) | cB(B6_0_1))
% 196.44/46.74
% 196.44/46.74 [85] ALPHA_NOT_OR : ~(cA(B8_0_2) | cB(B8_0_2))
% 196.44/46.74 -> [87] ~cA(B8_0_2), ~cB(B8_0_2)
% 196.44/46.74
% 196.44/46.74 [87] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [90] ((=(B8_0_2, B8_0_2) & cB(B8_0_2)) => cB(B8_0_2))
% 196.44/46.74
% 196.44/46.74 [90] BETA_IMPLY : ((=(B8_0_2, B8_0_2) & cB(B8_0_2)) => cB(B8_0_2))
% 196.44/46.74 -> [91] ~(=(B8_0_2, B8_0_2) & cB(B8_0_2))
% 196.44/46.74 -> [92] cB(B8_0_2)
% 196.44/46.74
% 196.44/46.74 [92] CLOSURE : cB(B8_0_2)
% 196.44/46.74
% 196.44/46.74 [91] BETA_NOT_AND : ~(=(B8_0_2, B8_0_2) & cB(B8_0_2))
% 196.44/46.74 -> [2182] ~=(B8_0_2, B8_0_2)
% 196.44/46.74 -> [2183] ~cB(B8_0_2)
% 196.44/46.74
% 196.44/46.74 [2182] CLOSURE : ~=(B8_0_2, B8_0_2)
% 196.44/46.74
% 196.44/46.74 [2183] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [2184] ((=(B10_29_3, B10_29_3) & cowlNothing(B10_29_3)) => cowlNothing(B10_29_3))
% 196.44/46.74
% 196.44/46.74 [2184] BETA_IMPLY : ((=(B10_29_3, B10_29_3) & cowlNothing(B10_29_3)) => cowlNothing(B10_29_3))
% 196.44/46.74 -> [2185] ~(=(B10_29_3, B10_29_3) & cowlNothing(B10_29_3))
% 196.44/46.74 -> [2186] cowlNothing(B10_29_3)
% 196.44/46.74
% 196.44/46.74 [2185] BETA_NOT_AND : ~(=(B10_29_3, B10_29_3) & cowlNothing(B10_29_3))
% 196.44/46.74 -> [2189] ~=(B10_29_3, B10_29_3)
% 196.44/46.74 -> [2190] ~cowlNothing(B10_29_3)
% 196.44/46.74
% 196.44/46.74 [2189] CLOSURE : ~=(B10_29_3, B10_29_3)
% 196.44/46.74
% 196.44/46.74 [2190] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2191] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [2191] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [2192] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2193] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2192] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2199] ~=(ib, ib)
% 196.44/46.74 -> [2200] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2200] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2199] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [2193] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2204] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2204] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2207] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2208] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2208] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2207] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2283] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2284] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2283] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2284] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2287] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2287] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2288] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2289] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2289] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2288] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2335] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2336] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2335] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2336] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2340] (cowlThing(X17_180_7) & ~cowlNothing(X17_180_7))
% 196.44/46.74
% 196.44/46.74 [2340] ALPHA_AND : (cowlThing(X17_180_7) & ~cowlNothing(X17_180_7))
% 196.44/46.74 -> [2341] cowlThing(X17_180_7), ~cowlNothing(X17_180_7)
% 196.44/46.74
% 196.44/46.74 [2341] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [2348] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2348] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2349] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2350] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2349] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2360] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2360] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2350] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2186] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2263] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [2263] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [2264] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [2265] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2264] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [2271] ~=(ia, ia)
% 196.44/46.74 -> [2272] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2272] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [2271] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [2265] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2302] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2302] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2303] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2304] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2304] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2303] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2563] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2564] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2563] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2564] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2567] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2567] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2568] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2569] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2569] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2568] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2598] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2599] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2598] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2599] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2602] (cowlThing(X17_209_7) & ~cowlNothing(X17_209_7))
% 196.44/46.74
% 196.44/46.74 [2602] ALPHA_AND : (cowlThing(X17_209_7) & ~cowlNothing(X17_209_7))
% 196.44/46.74 -> [2603] cowlThing(X17_209_7), ~cowlNothing(X17_209_7)
% 196.44/46.74
% 196.44/46.74 [2603] CLOSURE : ~cowlNothing(X17_209_7)
% 196.44/46.74
% 196.44/46.74 [42] BETA_OR : (cA(B6_0_1) | cB(B6_0_1))
% 196.44/46.74 -> [2619] cA(B6_0_1)
% 196.44/46.74 -> [2620] cB(B6_0_1)
% 196.44/46.74
% 196.44/46.74 [2619] CLOSURE : cA(B6_0_1)
% 196.44/46.74
% 196.44/46.74 [2620] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [2626] ((=(B8_25_2, B8_25_2) & cB(B8_25_2)) => cB(B8_25_2))
% 196.44/46.74
% 196.44/46.74 [2626] BETA_IMPLY : ((=(B8_25_2, B8_25_2) & cB(B8_25_2)) => cB(B8_25_2))
% 196.44/46.74 -> [2627] ~(=(B8_25_2, B8_25_2) & cB(B8_25_2))
% 196.44/46.74 -> [2628] cB(B8_25_2)
% 196.44/46.74
% 196.44/46.74 [2627] BETA_NOT_AND : ~(=(B8_25_2, B8_25_2) & cB(B8_25_2))
% 196.44/46.74 -> [2632] ~=(B8_25_2, B8_25_2)
% 196.44/46.74 -> [2633] ~cB(B8_25_2)
% 196.44/46.74
% 196.44/46.74 [2632] CLOSURE : ~=(B8_25_2, B8_25_2)
% 196.44/46.74
% 196.44/46.74 [2633] CLOSURE : ~cB(B8_25_2)
% 196.44/46.74
% 196.44/46.74 [2628] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [2635] ((=(B10_34_3, B10_34_3) & cowlNothing(B10_34_3)) => cowlNothing(B10_34_3))
% 196.44/46.74
% 196.44/46.74 [2635] BETA_IMPLY : ((=(B10_34_3, B10_34_3) & cowlNothing(B10_34_3)) => cowlNothing(B10_34_3))
% 196.44/46.74 -> [2636] ~(=(B10_34_3, B10_34_3) & cowlNothing(B10_34_3))
% 196.44/46.74 -> [2637] cowlNothing(B10_34_3)
% 196.44/46.74
% 196.44/46.74 [2637] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2651] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [2651] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [2652] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2653] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2652] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2658] ~=(ib, ib)
% 196.44/46.74 -> [2659] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2658] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [2659] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2653] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2669] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2669] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2681] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2682] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2682] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2681] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2781] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2782] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2781] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2782] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2796] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2796] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2797] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2798] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2798] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2797] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2812] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2813] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2812] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2813] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2815] (cowlThing(X17_225_7) & ~cowlNothing(X17_225_7))
% 196.44/46.74
% 196.44/46.74 [2815] ALPHA_AND : (cowlThing(X17_225_7) & ~cowlNothing(X17_225_7))
% 196.44/46.74 -> [2816] cowlThing(X17_225_7), ~cowlNothing(X17_225_7)
% 196.44/46.74
% 196.44/46.74 [2816] CLOSURE : ~cowlNothing(X17_225_7)
% 196.44/46.74
% 196.44/46.74 [2636] BETA_NOT_AND : ~(=(B10_34_3, B10_34_3) & cowlNothing(B10_34_3))
% 196.44/46.74 -> [2643] ~=(B10_34_3, B10_34_3)
% 196.44/46.74 -> [2644] ~cowlNothing(B10_34_3)
% 196.44/46.74
% 196.44/46.74 [2643] CLOSURE : ~=(B10_34_3, B10_34_3)
% 196.44/46.74
% 196.44/46.74 [2644] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [2655] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [2655] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [2656] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2657] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2656] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [2661] ~=(ib, ib)
% 196.44/46.74 -> [2662] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2662] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [2661] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [2657] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [2670] ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2670] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323)) => xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2671] ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2672] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2672] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2671] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2776] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2777] ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2776] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2777] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [2783] ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2783] BETA_IMPLY : ((=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323)) => xsd_string(skolem_X2323))
% 196.44/46.74 -> [2785] ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2786] xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2786] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2785] BETA_NOT_AND : ~(=(skolem_X2323, skolem_X2323) & xsd_string(skolem_X2323))
% 196.44/46.74 -> [2823] ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74 -> [2824] ~xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2823] CLOSURE : ~=(skolem_X2323, skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2824] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2829] (cowlThing(X17_226_7) & ~cowlNothing(X17_226_7))
% 196.44/46.74
% 196.44/46.74 [2829] ALPHA_AND : (cowlThing(X17_226_7) & ~cowlNothing(X17_226_7))
% 196.44/46.74 -> [2830] cowlThing(X17_226_7), ~cowlNothing(X17_226_7)
% 196.44/46.74
% 196.44/46.74 [2830] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [2834] (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74
% 196.44/46.74 [2834] BETA_EQUIV : (xsd_string(skolem_X2323) <=> ~xsd_integer(skolem_X2323))
% 196.44/46.74 -> [2835] ~xsd_string(skolem_X2323), ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2836] xsd_string(skolem_X2323), ~xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2836] CLOSURE : xsd_string(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2835] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2323)
% 196.44/46.74 -> [2837] xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [2837] CLOSURE : xsd_integer(skolem_X2323)
% 196.44/46.74
% 196.44/46.74 [7] DELTA_NOT_FORALL : ~! [X24_24] : ((cA_and_B(X24_24) <=> (=(X24_24, ib) | =(X24_24, ia))))
% 196.44/46.74 -> [10] ~(cA_and_B(skolem_X2424) <=> (=(skolem_X2424, ib) | =(skolem_X2424, ia)))
% 196.44/46.74
% 196.44/46.74 [10] BETA_NOT_EQUIV : ~(cA_and_B(skolem_X2424) <=> (=(skolem_X2424, ib) | =(skolem_X2424, ia)))
% 196.44/46.74 -> [11] ~cA_and_B(skolem_X2424), (=(skolem_X2424, ib) | =(skolem_X2424, ia))
% 196.44/46.74 -> [12] cA_and_B(skolem_X2424), ~(=(skolem_X2424, ib) | =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [12] Rewrite : cA_and_B(skolem_X2424)
% 196.44/46.74 -> [20] (cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.74
% 196.44/46.74 [20] ALPHA_NOT_OR : ~(=(skolem_X2424, ib) | =(skolem_X2424, ia))
% 196.44/46.74 -> [23] ~=(skolem_X2424, ib), ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [23] BETA_OR : (cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.74 -> [29] cA(skolem_X2424)
% 196.44/46.74 -> [30] cB(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [29] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.74 -> [59] ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.74
% 196.44/46.74 [59] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.74 -> [62] ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.74 -> [63] cA(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [62] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.74 -> [119] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.74 -> [120] ~cA(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [119] CLOSURE : ~=(skolem_X2424, skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [120] CLOSURE : ~cA(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [63] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.74 -> [106] ((=(B6_7_1, B6_7_1) & cA_and_B(B6_7_1)) => cA_and_B(B6_7_1))
% 196.44/46.74
% 196.44/46.74 [106] BETA_IMPLY : ((=(B6_7_1, B6_7_1) & cA_and_B(B6_7_1)) => cA_and_B(B6_7_1))
% 196.44/46.74 -> [113] ~(=(B6_7_1, B6_7_1) & cA_and_B(B6_7_1))
% 196.44/46.74 -> [114] cA_and_B(B6_7_1)
% 196.44/46.74
% 196.44/46.74 [113] BETA_NOT_AND : ~(=(B6_7_1, B6_7_1) & cA_and_B(B6_7_1))
% 196.44/46.74 -> [121] ~=(B6_7_1, B6_7_1)
% 196.44/46.74 -> [122] ~cA_and_B(B6_7_1)
% 196.44/46.74
% 196.44/46.74 [122] Rewrite : ~cA_and_B(B6_7_1)
% 196.44/46.74 -> [156] ~(cA(B6_7_1) | cB(B6_7_1))
% 196.44/46.74
% 196.44/46.74 [156] ALPHA_NOT_OR : ~(cA(B6_7_1) | cB(B6_7_1))
% 196.44/46.74 -> [322] ~cA(B6_7_1), ~cB(B6_7_1)
% 196.44/46.74
% 196.44/46.74 [322] CLOSURE : ~cA(B6_7_1)
% 196.44/46.74
% 196.44/46.74 [121] CLOSURE : ~=(B6_7_1, B6_7_1)
% 196.44/46.74
% 196.44/46.74 [114] Rewrite : cA_and_B(B6_7_1)
% 196.44/46.74 -> [137] (cA(B6_7_1) | cB(B6_7_1))
% 196.44/46.74
% 196.44/46.74 [137] BETA_OR : (cA(B6_7_1) | cB(B6_7_1))
% 196.44/46.74 -> [140] cA(B6_7_1)
% 196.44/46.74 -> [141] cB(B6_7_1)
% 196.44/46.74
% 196.44/46.74 [141] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [426] ((=(B8_12_2, B8_12_2) & cB(B8_12_2)) => cB(B8_12_2))
% 196.44/46.74
% 196.44/46.74 [426] BETA_IMPLY : ((=(B8_12_2, B8_12_2) & cB(B8_12_2)) => cB(B8_12_2))
% 196.44/46.74 -> [430] ~(=(B8_12_2, B8_12_2) & cB(B8_12_2))
% 196.44/46.74 -> [431] cB(B8_12_2)
% 196.44/46.74
% 196.44/46.74 [430] BETA_NOT_AND : ~(=(B8_12_2, B8_12_2) & cB(B8_12_2))
% 196.44/46.74 -> [436] ~=(B8_12_2, B8_12_2)
% 196.44/46.74 -> [437] ~cB(B8_12_2)
% 196.44/46.74
% 196.44/46.74 [436] CLOSURE : ~=(B8_12_2, B8_12_2)
% 196.44/46.74
% 196.44/46.74 [437] CLOSURE : ~cB(B8_12_2)
% 196.44/46.74
% 196.44/46.74 [431] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [812] ((=(B10_19_3, B10_19_3) & cowlNothing(B10_19_3)) => cowlNothing(B10_19_3))
% 196.44/46.74
% 196.44/46.74 [812] BETA_IMPLY : ((=(B10_19_3, B10_19_3) & cowlNothing(B10_19_3)) => cowlNothing(B10_19_3))
% 196.44/46.74 -> [1603] ~(=(B10_19_3, B10_19_3) & cowlNothing(B10_19_3))
% 196.44/46.74 -> [1604] cowlNothing(B10_19_3)
% 196.44/46.74
% 196.44/46.74 [1604] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [1605] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [1605] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [1606] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1607] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1606] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [1612] ~=(ib, ib)
% 196.44/46.74 -> [1613] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1613] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [1612] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [1607] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1618] ((=(B14_39_5, B14_39_5) & xsd_integer(B14_39_5)) => xsd_integer(B14_39_5))
% 196.44/46.74
% 196.44/46.74 [1618] BETA_IMPLY : ((=(B14_39_5, B14_39_5) & xsd_integer(B14_39_5)) => xsd_integer(B14_39_5))
% 196.44/46.74 -> [1621] ~(=(B14_39_5, B14_39_5) & xsd_integer(B14_39_5))
% 196.44/46.74 -> [1622] xsd_integer(B14_39_5)
% 196.44/46.74
% 196.44/46.74 [1622] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1637] ((=(B16_64_6, B16_64_6) & xsd_string(B16_64_6)) => xsd_string(B16_64_6))
% 196.44/46.74
% 196.44/46.74 [1637] BETA_IMPLY : ((=(B16_64_6, B16_64_6) & xsd_string(B16_64_6)) => xsd_string(B16_64_6))
% 196.44/46.74 -> [1640] ~(=(B16_64_6, B16_64_6) & xsd_string(B16_64_6))
% 196.44/46.74 -> [1641] xsd_string(B16_64_6)
% 196.44/46.74
% 196.44/46.74 [1641] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1674] (cowlThing(X17_107_7) & ~cowlNothing(X17_107_7))
% 196.44/46.74
% 196.44/46.74 [1674] ALPHA_AND : (cowlThing(X17_107_7) & ~cowlNothing(X17_107_7))
% 196.44/46.74 -> [1675] cowlThing(X17_107_7), ~cowlNothing(X17_107_7)
% 196.44/46.74
% 196.44/46.74 [1675] CLOSURE : ~cowlNothing(X17_107_7)
% 196.44/46.74
% 196.44/46.74 [1640] BETA_NOT_AND : ~(=(B16_64_6, B16_64_6) & xsd_string(B16_64_6))
% 196.44/46.74 -> [1654] ~=(B16_64_6, B16_64_6)
% 196.44/46.74 -> [1655] ~xsd_string(B16_64_6)
% 196.44/46.74
% 196.44/46.74 [1654] CLOSURE : ~=(B16_64_6, B16_64_6)
% 196.44/46.74
% 196.44/46.74 [1655] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1710] (cowlThing(X17_111_7) & ~cowlNothing(X17_111_7))
% 196.44/46.74
% 196.44/46.74 [1710] ALPHA_AND : (cowlThing(X17_111_7) & ~cowlNothing(X17_111_7))
% 196.44/46.74 -> [1711] cowlThing(X17_111_7), ~cowlNothing(X17_111_7)
% 196.44/46.74
% 196.44/46.74 [1711] CLOSURE : ~cowlNothing(X17_111_7)
% 196.44/46.74
% 196.44/46.74 [1621] BETA_NOT_AND : ~(=(B14_39_5, B14_39_5) & xsd_integer(B14_39_5))
% 196.44/46.74 -> [1630] ~=(B14_39_5, B14_39_5)
% 196.44/46.74 -> [1631] ~xsd_integer(B14_39_5)
% 196.44/46.74
% 196.44/46.74 [1630] CLOSURE : ~=(B14_39_5, B14_39_5)
% 196.44/46.74
% 196.44/46.74 [1631] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1664] ((=(B16_67_6, B16_67_6) & xsd_string(B16_67_6)) => xsd_string(B16_67_6))
% 196.44/46.74
% 196.44/46.74 [1664] BETA_IMPLY : ((=(B16_67_6, B16_67_6) & xsd_string(B16_67_6)) => xsd_string(B16_67_6))
% 196.44/46.74 -> [1665] ~(=(B16_67_6, B16_67_6) & xsd_string(B16_67_6))
% 196.44/46.74 -> [1666] xsd_string(B16_67_6)
% 196.44/46.74
% 196.44/46.74 [1666] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1724] (cowlThing(X17_114_7) & ~cowlNothing(X17_114_7))
% 196.44/46.74
% 196.44/46.74 [1724] ALPHA_AND : (cowlThing(X17_114_7) & ~cowlNothing(X17_114_7))
% 196.44/46.74 -> [1726] cowlThing(X17_114_7), ~cowlNothing(X17_114_7)
% 196.44/46.74
% 196.44/46.74 [1726] CLOSURE : ~cowlNothing(X17_114_7)
% 196.44/46.74
% 196.44/46.74 [1665] BETA_NOT_AND : ~(=(B16_67_6, B16_67_6) & xsd_string(B16_67_6))
% 196.44/46.74 -> [1678] ~=(B16_67_6, B16_67_6)
% 196.44/46.74 -> [1679] ~xsd_string(B16_67_6)
% 196.44/46.74
% 196.44/46.74 [1678] CLOSURE : ~=(B16_67_6, B16_67_6)
% 196.44/46.74
% 196.44/46.74 [1679] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1735] (cowlThing(X17_117_7) & ~cowlNothing(X17_117_7))
% 196.44/46.74
% 196.44/46.74 [1735] ALPHA_AND : (cowlThing(X17_117_7) & ~cowlNothing(X17_117_7))
% 196.44/46.74 -> [1736] cowlThing(X17_117_7), ~cowlNothing(X17_117_7)
% 196.44/46.74
% 196.44/46.74 [1736] CLOSURE : ~cowlNothing(X17_117_7)
% 196.44/46.74
% 196.44/46.74 [1603] BETA_NOT_AND : ~(=(B10_19_3, B10_19_3) & cowlNothing(B10_19_3))
% 196.44/46.74 -> [1610] ~=(B10_19_3, B10_19_3)
% 196.44/46.74 -> [1611] ~cowlNothing(B10_19_3)
% 196.44/46.74
% 196.44/46.74 [1610] CLOSURE : ~=(B10_19_3, B10_19_3)
% 196.44/46.74
% 196.44/46.74 [1611] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [1625] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [1625] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [1626] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [1627] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [1626] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [1632] ~=(ia, ia)
% 196.44/46.74 -> [1633] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [1633] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [1632] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [1627] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1647] ((=(B14_40_5, B14_40_5) & xsd_integer(B14_40_5)) => xsd_integer(B14_40_5))
% 196.44/46.74
% 196.44/46.74 [1647] BETA_IMPLY : ((=(B14_40_5, B14_40_5) & xsd_integer(B14_40_5)) => xsd_integer(B14_40_5))
% 196.44/46.74 -> [1650] ~(=(B14_40_5, B14_40_5) & xsd_integer(B14_40_5))
% 196.44/46.74 -> [1651] xsd_integer(B14_40_5)
% 196.44/46.74
% 196.44/46.74 [1650] BETA_NOT_AND : ~(=(B14_40_5, B14_40_5) & xsd_integer(B14_40_5))
% 196.44/46.74 -> [1659] ~=(B14_40_5, B14_40_5)
% 196.44/46.74 -> [1660] ~xsd_integer(B14_40_5)
% 196.44/46.74
% 196.44/46.74 [1659] CLOSURE : ~=(B14_40_5, B14_40_5)
% 196.44/46.74
% 196.44/46.74 [1660] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1695] ((=(B16_70_6, B16_70_6) & xsd_string(B16_70_6)) => xsd_string(B16_70_6))
% 196.44/46.74
% 196.44/46.74 [1695] BETA_IMPLY : ((=(B16_70_6, B16_70_6) & xsd_string(B16_70_6)) => xsd_string(B16_70_6))
% 196.44/46.74 -> [1696] ~(=(B16_70_6, B16_70_6) & xsd_string(B16_70_6))
% 196.44/46.74 -> [1697] xsd_string(B16_70_6)
% 196.44/46.74
% 196.44/46.74 [1697] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1744] (cowlThing(X17_120_7) & ~cowlNothing(X17_120_7))
% 196.44/46.74
% 196.44/46.74 [1744] ALPHA_AND : (cowlThing(X17_120_7) & ~cowlNothing(X17_120_7))
% 196.44/46.74 -> [1745] cowlThing(X17_120_7), ~cowlNothing(X17_120_7)
% 196.44/46.74
% 196.44/46.74 [1745] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1780] (xsd_string(X18_39_8) <=> ~xsd_integer(X18_39_8))
% 196.44/46.74
% 196.44/46.74 [1780] BETA_EQUIV : (xsd_string(X18_39_8) <=> ~xsd_integer(X18_39_8))
% 196.44/46.74 -> [1782] ~xsd_string(X18_39_8), ~~xsd_integer(X18_39_8)
% 196.44/46.74 -> [1783] xsd_string(X18_39_8), ~xsd_integer(X18_39_8)
% 196.44/46.74
% 196.44/46.74 [1782] ALPHA_NOT_NOT : ~~xsd_integer(X18_39_8)
% 196.44/46.74 -> [1796] xsd_integer(X18_39_8)
% 196.44/46.74
% 196.44/46.74 [1796] CLOSURE : xsd_integer(X18_39_8)
% 196.44/46.74
% 196.44/46.74 [1783] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1799] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [1799] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [1800] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [1801] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1800] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1801] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1696] BETA_NOT_AND : ~(=(B16_70_6, B16_70_6) & xsd_string(B16_70_6))
% 196.44/46.74 -> [1715] ~=(B16_70_6, B16_70_6)
% 196.44/46.74 -> [1716] ~xsd_string(B16_70_6)
% 196.44/46.74
% 196.44/46.74 [1716] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1756] (cowlThing(X17_123_7) & ~cowlNothing(X17_123_7))
% 196.44/46.74
% 196.44/46.74 [1756] ALPHA_AND : (cowlThing(X17_123_7) & ~cowlNothing(X17_123_7))
% 196.44/46.74 -> [1757] cowlThing(X17_123_7), ~cowlNothing(X17_123_7)
% 196.44/46.74
% 196.44/46.74 [1757] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1784] (xsd_string(X18_40_8) <=> ~xsd_integer(X18_40_8))
% 196.44/46.74
% 196.44/46.74 [1784] BETA_EQUIV : (xsd_string(X18_40_8) <=> ~xsd_integer(X18_40_8))
% 196.44/46.74 -> [1785] ~xsd_string(X18_40_8), ~~xsd_integer(X18_40_8)
% 196.44/46.74 -> [1786] xsd_string(X18_40_8), ~xsd_integer(X18_40_8)
% 196.44/46.74
% 196.44/46.74 [1786] CLOSURE : xsd_string(X18_40_8)
% 196.44/46.74
% 196.44/46.74 [1795] CLOSURE : xsd_integer(X18_40_8)
% 196.44/46.74
% 196.44/46.74 [1715] CLOSURE : ~=(B16_70_6, B16_70_6)
% 196.44/46.74
% 196.44/46.74 [1651] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1684] ((=(B16_68_6, B16_68_6) & xsd_string(B16_68_6)) => xsd_string(B16_68_6))
% 196.44/46.74
% 196.44/46.74 [1684] BETA_IMPLY : ((=(B16_68_6, B16_68_6) & xsd_string(B16_68_6)) => xsd_string(B16_68_6))
% 196.44/46.74 -> [1685] ~(=(B16_68_6, B16_68_6) & xsd_string(B16_68_6))
% 196.44/46.74 -> [1686] xsd_string(B16_68_6)
% 196.44/46.74
% 196.44/46.74 [1685] BETA_NOT_AND : ~(=(B16_68_6, B16_68_6) & xsd_string(B16_68_6))
% 196.44/46.74 -> [1701] ~=(B16_68_6, B16_68_6)
% 196.44/46.74 -> [1702] ~xsd_string(B16_68_6)
% 196.44/46.74
% 196.44/46.74 [1701] CLOSURE : ~=(B16_68_6, B16_68_6)
% 196.44/46.74
% 196.44/46.74 [1702] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1746] (cowlThing(X17_121_7) & ~cowlNothing(X17_121_7))
% 196.44/46.74
% 196.44/46.74 [1746] ALPHA_AND : (cowlThing(X17_121_7) & ~cowlNothing(X17_121_7))
% 196.44/46.74 -> [1747] cowlThing(X17_121_7), ~cowlNothing(X17_121_7)
% 196.44/46.74
% 196.44/46.74 [1747] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1774] (xsd_string(X18_38_8) <=> ~xsd_integer(X18_38_8))
% 196.44/46.74
% 196.44/46.74 [1774] BETA_EQUIV : (xsd_string(X18_38_8) <=> ~xsd_integer(X18_38_8))
% 196.44/46.74 -> [1775] ~xsd_string(X18_38_8), ~~xsd_integer(X18_38_8)
% 196.44/46.74 -> [1776] xsd_string(X18_38_8), ~xsd_integer(X18_38_8)
% 196.44/46.74
% 196.44/46.74 [1776] CLOSURE : ~xsd_integer(X18_38_8)
% 196.44/46.74
% 196.44/46.74 [1775] ALPHA_NOT_NOT : ~~xsd_integer(X18_38_8)
% 196.44/46.74 -> [1794] xsd_integer(X18_38_8)
% 196.44/46.74
% 196.44/46.74 [1794] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1809] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [1809] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [1810] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [1811] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1810] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1811] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1686] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1737] (cowlThing(X17_118_7) & ~cowlNothing(X17_118_7))
% 196.44/46.74
% 196.44/46.74 [1737] ALPHA_AND : (cowlThing(X17_118_7) & ~cowlNothing(X17_118_7))
% 196.44/46.74 -> [1738] cowlThing(X17_118_7), ~cowlNothing(X17_118_7)
% 196.44/46.74
% 196.44/46.74 [1738] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1771] (xsd_string(X18_37_8) <=> ~xsd_integer(X18_37_8))
% 196.44/46.74
% 196.44/46.74 [1771] BETA_EQUIV : (xsd_string(X18_37_8) <=> ~xsd_integer(X18_37_8))
% 196.44/46.74 -> [1772] ~xsd_string(X18_37_8), ~~xsd_integer(X18_37_8)
% 196.44/46.74 -> [1773] xsd_string(X18_37_8), ~xsd_integer(X18_37_8)
% 196.44/46.74
% 196.44/46.74 [1773] CLOSURE : ~xsd_integer(X18_37_8)
% 196.44/46.74
% 196.44/46.74 [1787] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1851] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [1851] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [1852] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [1853] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1852] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1853] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [140] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [167] ((=(B8_6_2, B8_6_2) & cB(B8_6_2)) => cB(B8_6_2))
% 196.44/46.74
% 196.44/46.74 [167] BETA_IMPLY : ((=(B8_6_2, B8_6_2) & cB(B8_6_2)) => cB(B8_6_2))
% 196.44/46.74 -> [169] ~(=(B8_6_2, B8_6_2) & cB(B8_6_2))
% 196.44/46.74 -> [170] cB(B8_6_2)
% 196.44/46.74
% 196.44/46.74 [169] BETA_NOT_AND : ~(=(B8_6_2, B8_6_2) & cB(B8_6_2))
% 196.44/46.74 -> [180] ~=(B8_6_2, B8_6_2)
% 196.44/46.74 -> [181] ~cB(B8_6_2)
% 196.44/46.74
% 196.44/46.74 [180] CLOSURE : ~=(B8_6_2, B8_6_2)
% 196.44/46.74
% 196.44/46.74 [181] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [217] ((=(B10_5_3, B10_5_3) & cowlNothing(B10_5_3)) => cowlNothing(B10_5_3))
% 196.44/46.74
% 196.44/46.74 [217] BETA_IMPLY : ((=(B10_5_3, B10_5_3) & cowlNothing(B10_5_3)) => cowlNothing(B10_5_3))
% 196.44/46.74 -> [220] ~(=(B10_5_3, B10_5_3) & cowlNothing(B10_5_3))
% 196.44/46.74 -> [221] cowlNothing(B10_5_3)
% 196.44/46.74
% 196.44/46.74 [221] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [255] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [255] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [256] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [257] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [256] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [269] ~=(ib, ib)
% 196.44/46.74 -> [270] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [269] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [270] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [257] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [315] ((=(B14_4_5, B14_4_5) & xsd_integer(B14_4_5)) => xsd_integer(B14_4_5))
% 196.44/46.74
% 196.44/46.74 [315] BETA_IMPLY : ((=(B14_4_5, B14_4_5) & xsd_integer(B14_4_5)) => xsd_integer(B14_4_5))
% 196.44/46.74 -> [316] ~(=(B14_4_5, B14_4_5) & xsd_integer(B14_4_5))
% 196.44/46.74 -> [317] xsd_integer(B14_4_5)
% 196.44/46.74
% 196.44/46.74 [316] BETA_NOT_AND : ~(=(B14_4_5, B14_4_5) & xsd_integer(B14_4_5))
% 196.44/46.74 -> [605] ~=(B14_4_5, B14_4_5)
% 196.44/46.74 -> [606] ~xsd_integer(B14_4_5)
% 196.44/46.74
% 196.44/46.74 [605] CLOSURE : ~=(B14_4_5, B14_4_5)
% 196.44/46.74
% 196.44/46.74 [606] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [742] ((=(B16_21_6, B16_21_6) & xsd_string(B16_21_6)) => xsd_string(B16_21_6))
% 196.44/46.74
% 196.44/46.74 [742] BETA_IMPLY : ((=(B16_21_6, B16_21_6) & xsd_string(B16_21_6)) => xsd_string(B16_21_6))
% 196.44/46.74 -> [745] ~(=(B16_21_6, B16_21_6) & xsd_string(B16_21_6))
% 196.44/46.74 -> [746] xsd_string(B16_21_6)
% 196.44/46.74
% 196.44/46.74 [745] BETA_NOT_AND : ~(=(B16_21_6, B16_21_6) & xsd_string(B16_21_6))
% 196.44/46.74 -> [1388] ~=(B16_21_6, B16_21_6)
% 196.44/46.74 -> [1389] ~xsd_string(B16_21_6)
% 196.44/46.74
% 196.44/46.74 [1388] CLOSURE : ~=(B16_21_6, B16_21_6)
% 196.44/46.74
% 196.44/46.74 [1389] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1392] (cowlThing(X17_83_7) & ~cowlNothing(X17_83_7))
% 196.44/46.74
% 196.44/46.74 [1392] ALPHA_AND : (cowlThing(X17_83_7) & ~cowlNothing(X17_83_7))
% 196.44/46.74 -> [1393] cowlThing(X17_83_7), ~cowlNothing(X17_83_7)
% 196.44/46.74
% 196.44/46.74 [1393] CLOSURE : ~cowlNothing(X17_83_7)
% 196.44/46.74
% 196.44/46.74 [746] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1400] (cowlThing(X17_84_7) & ~cowlNothing(X17_84_7))
% 196.44/46.74
% 196.44/46.74 [1400] ALPHA_AND : (cowlThing(X17_84_7) & ~cowlNothing(X17_84_7))
% 196.44/46.74 -> [1401] cowlThing(X17_84_7), ~cowlNothing(X17_84_7)
% 196.44/46.74
% 196.44/46.74 [1401] CLOSURE : ~cowlNothing(X17_84_7)
% 196.44/46.74
% 196.44/46.74 [317] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [720] ((=(B16_19_6, B16_19_6) & xsd_string(B16_19_6)) => xsd_string(B16_19_6))
% 196.44/46.74
% 196.44/46.74 [720] BETA_IMPLY : ((=(B16_19_6, B16_19_6) & xsd_string(B16_19_6)) => xsd_string(B16_19_6))
% 196.44/46.74 -> [721] ~(=(B16_19_6, B16_19_6) & xsd_string(B16_19_6))
% 196.44/46.74 -> [722] xsd_string(B16_19_6)
% 196.44/46.74
% 196.44/46.74 [721] BETA_NOT_AND : ~(=(B16_19_6, B16_19_6) & xsd_string(B16_19_6))
% 196.44/46.74 -> [759] ~=(B16_19_6, B16_19_6)
% 196.44/46.74 -> [760] ~xsd_string(B16_19_6)
% 196.44/46.74
% 196.44/46.74 [759] CLOSURE : ~=(B16_19_6, B16_19_6)
% 196.44/46.74
% 196.44/46.74 [760] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1447] (cowlThing(X17_87_7) & ~cowlNothing(X17_87_7))
% 196.44/46.74
% 196.44/46.74 [1447] ALPHA_AND : (cowlThing(X17_87_7) & ~cowlNothing(X17_87_7))
% 196.44/46.74 -> [1448] cowlThing(X17_87_7), ~cowlNothing(X17_87_7)
% 196.44/46.74
% 196.44/46.74 [1448] CLOSURE : ~cowlNothing(X17_87_7)
% 196.44/46.74
% 196.44/46.74 [722] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1443] (cowlThing(X17_86_7) & ~cowlNothing(X17_86_7))
% 196.44/46.74
% 196.44/46.74 [1443] ALPHA_AND : (cowlThing(X17_86_7) & ~cowlNothing(X17_86_7))
% 196.44/46.74 -> [1446] cowlThing(X17_86_7), ~cowlNothing(X17_86_7)
% 196.44/46.74
% 196.44/46.74 [1446] CLOSURE : ~cowlNothing(X17_86_7)
% 196.44/46.74
% 196.44/46.74 [220] BETA_NOT_AND : ~(=(B10_5_3, B10_5_3) & cowlNothing(B10_5_3))
% 196.44/46.74 -> [231] ~=(B10_5_3, B10_5_3)
% 196.44/46.74 -> [232] ~cowlNothing(B10_5_3)
% 196.44/46.74
% 196.44/46.74 [231] CLOSURE : ~=(B10_5_3, B10_5_3)
% 196.44/46.74
% 196.44/46.74 [232] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [258] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [258] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [259] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [260] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [259] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [267] ~=(ib, ib)
% 196.44/46.74 -> [268] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [268] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [267] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [260] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [298] ((=(B14_3_5, B14_3_5) & xsd_integer(B14_3_5)) => xsd_integer(B14_3_5))
% 196.44/46.74
% 196.44/46.74 [298] BETA_IMPLY : ((=(B14_3_5, B14_3_5) & xsd_integer(B14_3_5)) => xsd_integer(B14_3_5))
% 196.44/46.74 -> [301] ~(=(B14_3_5, B14_3_5) & xsd_integer(B14_3_5))
% 196.44/46.74 -> [302] xsd_integer(B14_3_5)
% 196.44/46.74
% 196.44/46.74 [302] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [639] ((=(B16_14_6, B16_14_6) & xsd_string(B16_14_6)) => xsd_string(B16_14_6))
% 196.44/46.74
% 196.44/46.74 [639] BETA_IMPLY : ((=(B16_14_6, B16_14_6) & xsd_string(B16_14_6)) => xsd_string(B16_14_6))
% 196.44/46.74 -> [642] ~(=(B16_14_6, B16_14_6) & xsd_string(B16_14_6))
% 196.44/46.74 -> [643] xsd_string(B16_14_6)
% 196.44/46.74
% 196.44/46.74 [642] BETA_NOT_AND : ~(=(B16_14_6, B16_14_6) & xsd_string(B16_14_6))
% 196.44/46.74 -> [662] ~=(B16_14_6, B16_14_6)
% 196.44/46.74 -> [663] ~xsd_string(B16_14_6)
% 196.44/46.74
% 196.44/46.74 [662] CLOSURE : ~=(B16_14_6, B16_14_6)
% 196.44/46.74
% 196.44/46.74 [663] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [771] (cowlThing(X17_21_7) & ~cowlNothing(X17_21_7))
% 196.44/46.74
% 196.44/46.74 [771] ALPHA_AND : (cowlThing(X17_21_7) & ~cowlNothing(X17_21_7))
% 196.44/46.74 -> [772] cowlThing(X17_21_7), ~cowlNothing(X17_21_7)
% 196.44/46.74
% 196.44/46.74 [772] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [827] (xsd_string(X18_7_8) <=> ~xsd_integer(X18_7_8))
% 196.44/46.74
% 196.44/46.74 [827] BETA_EQUIV : (xsd_string(X18_7_8) <=> ~xsd_integer(X18_7_8))
% 196.44/46.74 -> [828] ~xsd_string(X18_7_8), ~~xsd_integer(X18_7_8)
% 196.44/46.74 -> [829] xsd_string(X18_7_8), ~xsd_integer(X18_7_8)
% 196.44/46.74
% 196.44/46.74 [829] CLOSURE : ~xsd_integer(X18_7_8)
% 196.44/46.74
% 196.44/46.74 [828] ALPHA_NOT_NOT : ~~xsd_integer(X18_7_8)
% 196.44/46.74 -> [845] xsd_integer(X18_7_8)
% 196.44/46.74
% 196.44/46.74 [845] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [863] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [863] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [864] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [865] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [864] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [865] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [643] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [735] (cowlThing(X17_19_7) & ~cowlNothing(X17_19_7))
% 196.44/46.74
% 196.44/46.74 [735] ALPHA_AND : (cowlThing(X17_19_7) & ~cowlNothing(X17_19_7))
% 196.44/46.74 -> [736] cowlThing(X17_19_7), ~cowlNothing(X17_19_7)
% 196.44/46.74
% 196.44/46.74 [736] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1712] (xsd_string(X18_35_8) <=> ~xsd_integer(X18_35_8))
% 196.44/46.74
% 196.44/46.74 [1712] BETA_EQUIV : (xsd_string(X18_35_8) <=> ~xsd_integer(X18_35_8))
% 196.44/46.74 -> [1713] ~xsd_string(X18_35_8), ~~xsd_integer(X18_35_8)
% 196.44/46.74 -> [1714] xsd_string(X18_35_8), ~xsd_integer(X18_35_8)
% 196.44/46.74
% 196.44/46.74 [1714] CLOSURE : ~xsd_integer(X18_35_8)
% 196.44/46.74
% 196.44/46.74 [1769] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1836] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [1836] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [1837] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [1838] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1837] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1838] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [301] BETA_NOT_AND : ~(=(B14_3_5, B14_3_5) & xsd_integer(B14_3_5))
% 196.44/46.74 -> [462] ~=(B14_3_5, B14_3_5)
% 196.44/46.74 -> [463] ~xsd_integer(B14_3_5)
% 196.44/46.74
% 196.44/46.74 [462] CLOSURE : ~=(B14_3_5, B14_3_5)
% 196.44/46.74
% 196.44/46.74 [463] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [483] ((=(B16_5_6, B16_5_6) & xsd_string(B16_5_6)) => xsd_string(B16_5_6))
% 196.44/46.74
% 196.44/46.74 [483] BETA_IMPLY : ((=(B16_5_6, B16_5_6) & xsd_string(B16_5_6)) => xsd_string(B16_5_6))
% 196.44/46.74 -> [484] ~(=(B16_5_6, B16_5_6) & xsd_string(B16_5_6))
% 196.44/46.74 -> [485] xsd_string(B16_5_6)
% 196.44/46.74
% 196.44/46.74 [485] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [517] (cowlThing(X17_3_7) & ~cowlNothing(X17_3_7))
% 196.44/46.74
% 196.44/46.74 [517] ALPHA_AND : (cowlThing(X17_3_7) & ~cowlNothing(X17_3_7))
% 196.44/46.74 -> [520] cowlThing(X17_3_7), ~cowlNothing(X17_3_7)
% 196.44/46.74
% 196.44/46.74 [520] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [576] (xsd_string(X18_1_8) <=> ~xsd_integer(X18_1_8))
% 196.44/46.74
% 196.44/46.74 [576] BETA_EQUIV : (xsd_string(X18_1_8) <=> ~xsd_integer(X18_1_8))
% 196.44/46.74 -> [577] ~xsd_string(X18_1_8), ~~xsd_integer(X18_1_8)
% 196.44/46.74 -> [578] xsd_string(X18_1_8), ~xsd_integer(X18_1_8)
% 196.44/46.74
% 196.44/46.74 [577] ALPHA_NOT_NOT : ~~xsd_integer(X18_1_8)
% 196.44/46.74 -> [1856] xsd_integer(X18_1_8)
% 196.44/46.74
% 196.44/46.74 [1856] CLOSURE : xsd_integer(X18_1_8)
% 196.44/46.74
% 196.44/46.74 [578] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1045] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [1045] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [1046] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [1047] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1046] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [1047] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [484] BETA_NOT_AND : ~(=(B16_5_6, B16_5_6) & xsd_string(B16_5_6))
% 196.44/46.74 -> [489] ~=(B16_5_6, B16_5_6)
% 196.44/46.74 -> [490] ~xsd_string(B16_5_6)
% 196.44/46.74
% 196.44/46.74 [490] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [535] (cowlThing(X17_5_7) & ~cowlNothing(X17_5_7))
% 196.44/46.74
% 196.44/46.74 [535] ALPHA_AND : (cowlThing(X17_5_7) & ~cowlNothing(X17_5_7))
% 196.44/46.74 -> [536] cowlThing(X17_5_7), ~cowlNothing(X17_5_7)
% 196.44/46.74
% 196.44/46.74 [536] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [562] (xsd_string(X18_0_8) <=> ~xsd_integer(X18_0_8))
% 196.44/46.74
% 196.44/46.74 [562] BETA_EQUIV : (xsd_string(X18_0_8) <=> ~xsd_integer(X18_0_8))
% 196.44/46.74 -> [563] ~xsd_string(X18_0_8), ~~xsd_integer(X18_0_8)
% 196.44/46.74 -> [564] xsd_string(X18_0_8), ~xsd_integer(X18_0_8)
% 196.44/46.74
% 196.44/46.74 [563] ALPHA_NOT_NOT : ~~xsd_integer(X18_0_8)
% 196.44/46.74 -> [575] xsd_integer(X18_0_8)
% 196.44/46.74
% 196.44/46.74 [575] CLOSURE : xsd_integer(X18_0_8)
% 196.44/46.74
% 196.44/46.74 [564] CLOSURE : xsd_string(X18_0_8)
% 196.44/46.74
% 196.44/46.74 [489] CLOSURE : ~=(B16_5_6, B16_5_6)
% 196.44/46.74
% 196.44/46.74 [170] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [193] ((=(B10_3_3, B10_3_3) & cowlNothing(B10_3_3)) => cowlNothing(B10_3_3))
% 196.44/46.74
% 196.44/46.74 [193] BETA_IMPLY : ((=(B10_3_3, B10_3_3) & cowlNothing(B10_3_3)) => cowlNothing(B10_3_3))
% 196.44/46.74 -> [196] ~(=(B10_3_3, B10_3_3) & cowlNothing(B10_3_3))
% 196.44/46.74 -> [197] cowlNothing(B10_3_3)
% 196.44/46.74
% 196.44/46.74 [197] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [224] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [224] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [225] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [226] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [225] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [264] ~=(ia, ia)
% 196.44/46.74 -> [265] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [265] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [264] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [226] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [248] ((=(B14_0_5, B14_0_5) & xsd_integer(B14_0_5)) => xsd_integer(B14_0_5))
% 196.44/46.74
% 196.44/46.74 [248] BETA_IMPLY : ((=(B14_0_5, B14_0_5) & xsd_integer(B14_0_5)) => xsd_integer(B14_0_5))
% 196.44/46.74 -> [249] ~(=(B14_0_5, B14_0_5) & xsd_integer(B14_0_5))
% 196.44/46.74 -> [250] xsd_integer(B14_0_5)
% 196.44/46.74
% 196.44/46.74 [249] BETA_NOT_AND : ~(=(B14_0_5, B14_0_5) & xsd_integer(B14_0_5))
% 196.44/46.74 -> [274] ~=(B14_0_5, B14_0_5)
% 196.44/46.74 -> [275] ~xsd_integer(B14_0_5)
% 196.44/46.74
% 196.44/46.74 [274] CLOSURE : ~=(B14_0_5, B14_0_5)
% 196.44/46.74
% 196.44/46.74 [275] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [310] ((=(B16_2_6, B16_2_6) & xsd_string(B16_2_6)) => xsd_string(B16_2_6))
% 196.44/46.74
% 196.44/46.74 [310] BETA_IMPLY : ((=(B16_2_6, B16_2_6) & xsd_string(B16_2_6)) => xsd_string(B16_2_6))
% 196.44/46.74 -> [311] ~(=(B16_2_6, B16_2_6) & xsd_string(B16_2_6))
% 196.44/46.74 -> [312] xsd_string(B16_2_6)
% 196.44/46.74
% 196.44/46.74 [312] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [598] (cowlThing(X17_11_7) & ~cowlNothing(X17_11_7))
% 196.44/46.74
% 196.44/46.74 [598] ALPHA_AND : (cowlThing(X17_11_7) & ~cowlNothing(X17_11_7))
% 196.44/46.74 -> [601] cowlThing(X17_11_7), ~cowlNothing(X17_11_7)
% 196.44/46.74
% 196.44/46.74 [601] CLOSURE : ~cowlNothing(X17_11_7)
% 196.44/46.74
% 196.44/46.74 [311] BETA_NOT_AND : ~(=(B16_2_6, B16_2_6) & xsd_string(B16_2_6))
% 196.44/46.74 -> [832] ~=(B16_2_6, B16_2_6)
% 196.44/46.74 -> [833] ~xsd_string(B16_2_6)
% 196.44/46.74
% 196.44/46.74 [832] CLOSURE : ~=(B16_2_6, B16_2_6)
% 196.44/46.74
% 196.44/46.74 [833] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [861] (cowlThing(X17_29_7) & ~cowlNothing(X17_29_7))
% 196.44/46.74
% 196.44/46.74 [861] ALPHA_AND : (cowlThing(X17_29_7) & ~cowlNothing(X17_29_7))
% 196.44/46.74 -> [862] cowlThing(X17_29_7), ~cowlNothing(X17_29_7)
% 196.44/46.74
% 196.44/46.74 [862] CLOSURE : ~cowlNothing(X17_29_7)
% 196.44/46.74
% 196.44/46.74 [250] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [294] ((=(B16_1_6, B16_1_6) & xsd_string(B16_1_6)) => xsd_string(B16_1_6))
% 196.44/46.74
% 196.44/46.74 [294] BETA_IMPLY : ((=(B16_1_6, B16_1_6) & xsd_string(B16_1_6)) => xsd_string(B16_1_6))
% 196.44/46.74 -> [295] ~(=(B16_1_6, B16_1_6) & xsd_string(B16_1_6))
% 196.44/46.74 -> [296] xsd_string(B16_1_6)
% 196.44/46.74
% 196.44/46.74 [295] BETA_NOT_AND : ~(=(B16_1_6, B16_1_6) & xsd_string(B16_1_6))
% 196.44/46.74 -> [528] ~=(B16_1_6, B16_1_6)
% 196.44/46.74 -> [529] ~xsd_string(B16_1_6)
% 196.44/46.74
% 196.44/46.74 [529] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [565] (cowlThing(X17_7_7) & ~cowlNothing(X17_7_7))
% 196.44/46.74
% 196.44/46.74 [565] ALPHA_AND : (cowlThing(X17_7_7) & ~cowlNothing(X17_7_7))
% 196.44/46.74 -> [566] cowlThing(X17_7_7), ~cowlNothing(X17_7_7)
% 196.44/46.74
% 196.44/46.74 [566] CLOSURE : ~cowlNothing(X17_7_7)
% 196.44/46.74
% 196.44/46.74 [528] CLOSURE : ~=(B16_1_6, B16_1_6)
% 196.44/46.74
% 196.44/46.74 [296] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [702] (cowlThing(X17_17_7) & ~cowlNothing(X17_17_7))
% 196.44/46.74
% 196.44/46.74 [702] ALPHA_AND : (cowlThing(X17_17_7) & ~cowlNothing(X17_17_7))
% 196.44/46.74 -> [703] cowlThing(X17_17_7), ~cowlNothing(X17_17_7)
% 196.44/46.74
% 196.44/46.74 [703] CLOSURE : ~cowlNothing(X17_17_7)
% 196.44/46.74
% 196.44/46.74 [196] BETA_NOT_AND : ~(=(B10_3_3, B10_3_3) & cowlNothing(B10_3_3))
% 196.44/46.74 -> [206] ~=(B10_3_3, B10_3_3)
% 196.44/46.74 -> [207] ~cowlNothing(B10_3_3)
% 196.44/46.74
% 196.44/46.74 [206] CLOSURE : ~=(B10_3_3, B10_3_3)
% 196.44/46.74
% 196.44/46.74 [207] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [681] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [681] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [682] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [683] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [682] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [750] ~=(ib, ib)
% 196.44/46.74 -> [751] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [750] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [751] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [683] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1920] ((=(B14_47_5, B14_47_5) & xsd_integer(B14_47_5)) => xsd_integer(B14_47_5))
% 196.44/46.74
% 196.44/46.74 [1920] BETA_IMPLY : ((=(B14_47_5, B14_47_5) & xsd_integer(B14_47_5)) => xsd_integer(B14_47_5))
% 196.44/46.74 -> [1922] ~(=(B14_47_5, B14_47_5) & xsd_integer(B14_47_5))
% 196.44/46.74 -> [1923] xsd_integer(B14_47_5)
% 196.44/46.74
% 196.44/46.74 [1922] BETA_NOT_AND : ~(=(B14_47_5, B14_47_5) & xsd_integer(B14_47_5))
% 196.44/46.74 -> [1929] ~=(B14_47_5, B14_47_5)
% 196.44/46.74 -> [1930] ~xsd_integer(B14_47_5)
% 196.44/46.74
% 196.44/46.74 [1929] CLOSURE : ~=(B14_47_5, B14_47_5)
% 196.44/46.74
% 196.44/46.74 [1930] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1971] ((=(B16_82_6, B16_82_6) & xsd_string(B16_82_6)) => xsd_string(B16_82_6))
% 196.44/46.74
% 196.44/46.74 [1971] BETA_IMPLY : ((=(B16_82_6, B16_82_6) & xsd_string(B16_82_6)) => xsd_string(B16_82_6))
% 196.44/46.74 -> [1972] ~(=(B16_82_6, B16_82_6) & xsd_string(B16_82_6))
% 196.44/46.74 -> [1973] xsd_string(B16_82_6)
% 196.44/46.74
% 196.44/46.74 [1973] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1982] (cowlThing(X17_144_7) & ~cowlNothing(X17_144_7))
% 196.44/46.74
% 196.44/46.74 [1982] ALPHA_AND : (cowlThing(X17_144_7) & ~cowlNothing(X17_144_7))
% 196.44/46.74 -> [1983] cowlThing(X17_144_7), ~cowlNothing(X17_144_7)
% 196.44/46.74
% 196.44/46.74 [1983] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1997] (xsd_string(X18_49_8) <=> ~xsd_integer(X18_49_8))
% 196.44/46.74
% 196.44/46.74 [1997] BETA_EQUIV : (xsd_string(X18_49_8) <=> ~xsd_integer(X18_49_8))
% 196.44/46.74 -> [1998] ~xsd_string(X18_49_8), ~~xsd_integer(X18_49_8)
% 196.44/46.74 -> [1999] xsd_string(X18_49_8), ~xsd_integer(X18_49_8)
% 196.44/46.74
% 196.44/46.74 [1998] ALPHA_NOT_NOT : ~~xsd_integer(X18_49_8)
% 196.44/46.74 -> [2007] xsd_integer(X18_49_8)
% 196.44/46.74
% 196.44/46.74 [2007] CLOSURE : xsd_integer(X18_49_8)
% 196.44/46.74
% 196.44/46.74 [1999] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [2014] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [2014] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [2015] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [2016] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [2015] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [2016] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1972] BETA_NOT_AND : ~(=(B16_82_6, B16_82_6) & xsd_string(B16_82_6))
% 196.44/46.74 -> [1974] ~=(B16_82_6, B16_82_6)
% 196.44/46.74 -> [1975] ~xsd_string(B16_82_6)
% 196.44/46.74
% 196.44/46.74 [1975] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1987] (cowlThing(X17_145_7) & ~cowlNothing(X17_145_7))
% 196.44/46.74
% 196.44/46.74 [1987] ALPHA_AND : (cowlThing(X17_145_7) & ~cowlNothing(X17_145_7))
% 196.44/46.74 -> [1988] cowlThing(X17_145_7), ~cowlNothing(X17_145_7)
% 196.44/46.74
% 196.44/46.74 [1988] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [2000] (xsd_string(X18_50_8) <=> ~xsd_integer(X18_50_8))
% 196.44/46.74
% 196.44/46.74 [2000] BETA_EQUIV : (xsd_string(X18_50_8) <=> ~xsd_integer(X18_50_8))
% 196.44/46.74 -> [2001] ~xsd_string(X18_50_8), ~~xsd_integer(X18_50_8)
% 196.44/46.74 -> [2002] xsd_string(X18_50_8), ~xsd_integer(X18_50_8)
% 196.44/46.74
% 196.44/46.74 [2002] CLOSURE : xsd_string(X18_50_8)
% 196.44/46.74
% 196.44/46.74 [2011] CLOSURE : xsd_integer(X18_50_8)
% 196.44/46.74
% 196.44/46.74 [1974] CLOSURE : ~=(B16_82_6, B16_82_6)
% 196.44/46.74
% 196.44/46.74 [1923] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1939] ((=(B14_47_5, B14_47_5) & xsd_string(B14_47_5)) => xsd_string(B14_47_5))
% 196.44/46.74
% 196.44/46.74 [1939] BETA_IMPLY : ((=(B14_47_5, B14_47_5) & xsd_string(B14_47_5)) => xsd_string(B14_47_5))
% 196.44/46.74 -> [1941] ~(=(B14_47_5, B14_47_5) & xsd_string(B14_47_5))
% 196.44/46.74 -> [1942] xsd_string(B14_47_5)
% 196.44/46.74
% 196.44/46.74 [1942] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1956] (cowlThing(X17_141_7) & ~cowlNothing(X17_141_7))
% 196.44/46.74
% 196.44/46.74 [1956] ALPHA_AND : (cowlThing(X17_141_7) & ~cowlNothing(X17_141_7))
% 196.44/46.74 -> [1957] cowlThing(X17_141_7), ~cowlNothing(X17_141_7)
% 196.44/46.74
% 196.44/46.74 [1957] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1984] (xsd_string(X18_47_8) <=> ~xsd_integer(X18_47_8))
% 196.44/46.74
% 196.44/46.74 [1984] BETA_EQUIV : (xsd_string(X18_47_8) <=> ~xsd_integer(X18_47_8))
% 196.44/46.74 -> [1985] ~xsd_string(X18_47_8), ~~xsd_integer(X18_47_8)
% 196.44/46.74 -> [1986] xsd_string(X18_47_8), ~xsd_integer(X18_47_8)
% 196.44/46.74
% 196.44/46.74 [1985] ALPHA_NOT_NOT : ~~xsd_integer(X18_47_8)
% 196.44/46.74 -> [2005] xsd_integer(X18_47_8)
% 196.44/46.74
% 196.44/46.74 [2005] CLOSURE : ~~xsd_integer(X18_47_8)
% 196.44/46.74
% 196.44/46.74 [1986] CLOSURE : ~xsd_integer(X18_47_8)
% 196.44/46.74
% 196.44/46.74 [1941] BETA_NOT_AND : ~(=(B14_47_5, B14_47_5) & xsd_string(B14_47_5))
% 196.44/46.74 -> [2060] ~=(B14_47_5, B14_47_5)
% 196.44/46.74 -> [2061] ~xsd_string(B14_47_5)
% 196.44/46.74
% 196.44/46.74 [2060] CLOSURE : ~=(B14_47_5, B14_47_5)
% 196.44/46.74
% 196.44/46.74 [2061] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [2071] (cowlThing(X17_157_7) & ~cowlNothing(X17_157_7))
% 196.44/46.74
% 196.44/46.74 [2071] ALPHA_AND : (cowlThing(X17_157_7) & ~cowlNothing(X17_157_7))
% 196.44/46.74 -> [2072] cowlThing(X17_157_7), ~cowlNothing(X17_157_7)
% 196.44/46.74
% 196.44/46.74 [2072] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [2083] (xsd_string(X18_53_8) <=> ~xsd_integer(X18_53_8))
% 196.44/46.74
% 196.44/46.74 [2083] BETA_EQUIV : (xsd_string(X18_53_8) <=> ~xsd_integer(X18_53_8))
% 196.44/46.74 -> [2084] ~xsd_string(X18_53_8), ~~xsd_integer(X18_53_8)
% 196.44/46.74 -> [2085] xsd_string(X18_53_8), ~xsd_integer(X18_53_8)
% 196.44/46.74
% 196.44/46.74 [2085] CLOSURE : ~xsd_integer(X18_53_8)
% 196.44/46.74
% 196.44/46.74 [2084] ALPHA_NOT_NOT : ~~xsd_integer(X18_53_8)
% 196.44/46.74 -> [2091] xsd_integer(X18_53_8)
% 196.44/46.74
% 196.44/46.74 [2091] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [2092] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74
% 196.44/46.74 [2092] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.74 -> [2093] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.74 -> [2094] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [2093] CLOSURE : ~=(skolem_X2424, ia)
% 196.44/46.74
% 196.44/46.74 [2094] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [30] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.74 -> [51] ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.74
% 196.44/46.74 [51] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.74 -> [57] ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.74 -> [58] cA(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [58] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.74 -> [86] ((=(B6_5_1, B6_5_1) & cA_and_B(B6_5_1)) => cA_and_B(B6_5_1))
% 196.44/46.74
% 196.44/46.74 [86] BETA_IMPLY : ((=(B6_5_1, B6_5_1) & cA_and_B(B6_5_1)) => cA_and_B(B6_5_1))
% 196.44/46.74 -> [88] ~(=(B6_5_1, B6_5_1) & cA_and_B(B6_5_1))
% 196.44/46.74 -> [89] cA_and_B(B6_5_1)
% 196.44/46.74
% 196.44/46.74 [88] BETA_NOT_AND : ~(=(B6_5_1, B6_5_1) & cA_and_B(B6_5_1))
% 196.44/46.74 -> [101] ~=(B6_5_1, B6_5_1)
% 196.44/46.74 -> [102] ~cA_and_B(B6_5_1)
% 196.44/46.74
% 196.44/46.74 [102] Rewrite : ~cA_and_B(B6_5_1)
% 196.44/46.74 -> [235] ~(cA(B6_5_1) | cB(B6_5_1))
% 196.44/46.74
% 196.44/46.74 [235] ALPHA_NOT_OR : ~(cA(B6_5_1) | cB(B6_5_1))
% 196.44/46.74 -> [236] ~cA(B6_5_1), ~cB(B6_5_1)
% 196.44/46.74
% 196.44/46.74 [236] CLOSURE : ~cB(B6_5_1)
% 196.44/46.74
% 196.44/46.74 [101] CLOSURE : ~=(B6_5_1, B6_5_1)
% 196.44/46.74
% 196.44/46.74 [89] Rewrite : cA_and_B(B6_5_1)
% 196.44/46.74 -> [97] (cA(B6_5_1) | cB(B6_5_1))
% 196.44/46.74
% 196.44/46.74 [97] BETA_OR : (cA(B6_5_1) | cB(B6_5_1))
% 196.44/46.74 -> [116] cA(B6_5_1)
% 196.44/46.74 -> [117] cB(B6_5_1)
% 196.44/46.74
% 196.44/46.74 [117] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [149] ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.74
% 196.44/46.74 [149] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.74 -> [150] ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.74 -> [151] cB(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [150] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.74 -> [165] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.74 -> [166] ~cB(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [166] CLOSURE : ~cB(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [165] CLOSURE : ~=(skolem_X2424, skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [151] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [163] ((=(B10_2_3, B10_2_3) & cowlNothing(B10_2_3)) => cowlNothing(B10_2_3))
% 196.44/46.74
% 196.44/46.74 [163] BETA_IMPLY : ((=(B10_2_3, B10_2_3) & cowlNothing(B10_2_3)) => cowlNothing(B10_2_3))
% 196.44/46.74 -> [585] ~(=(B10_2_3, B10_2_3) & cowlNothing(B10_2_3))
% 196.44/46.74 -> [586] cowlNothing(B10_2_3)
% 196.44/46.74
% 196.44/46.74 [585] BETA_NOT_AND : ~(=(B10_2_3, B10_2_3) & cowlNothing(B10_2_3))
% 196.44/46.74 -> [628] ~=(B10_2_3, B10_2_3)
% 196.44/46.74 -> [629] ~cowlNothing(B10_2_3)
% 196.44/46.74
% 196.44/46.74 [628] CLOSURE : ~=(B10_2_3, B10_2_3)
% 196.44/46.74
% 196.44/46.74 [629] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [768] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [768] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [769] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [770] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [769] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [1433] ~=(ia, ia)
% 196.44/46.74 -> [1434] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [1434] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [1433] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [770] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [1440] ((=(B14_34_5, B14_34_5) & xsd_integer(B14_34_5)) => xsd_integer(B14_34_5))
% 196.44/46.74
% 196.44/46.74 [1440] BETA_IMPLY : ((=(B14_34_5, B14_34_5) & xsd_integer(B14_34_5)) => xsd_integer(B14_34_5))
% 196.44/46.74 -> [1441] ~(=(B14_34_5, B14_34_5) & xsd_integer(B14_34_5))
% 196.44/46.74 -> [1442] xsd_integer(B14_34_5)
% 196.44/46.74
% 196.44/46.74 [1441] BETA_NOT_AND : ~(=(B14_34_5, B14_34_5) & xsd_integer(B14_34_5))
% 196.44/46.74 -> [1444] ~=(B14_34_5, B14_34_5)
% 196.44/46.74 -> [1445] ~xsd_integer(B14_34_5)
% 196.44/46.74
% 196.44/46.74 [1444] CLOSURE : ~=(B14_34_5, B14_34_5)
% 196.44/46.74
% 196.44/46.74 [1445] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1469] ((=(B16_58_6, B16_58_6) & xsd_string(B16_58_6)) => xsd_string(B16_58_6))
% 196.44/46.74
% 196.44/46.74 [1469] BETA_IMPLY : ((=(B16_58_6, B16_58_6) & xsd_string(B16_58_6)) => xsd_string(B16_58_6))
% 196.44/46.74 -> [1470] ~(=(B16_58_6, B16_58_6) & xsd_string(B16_58_6))
% 196.44/46.74 -> [1471] xsd_string(B16_58_6)
% 196.44/46.74
% 196.44/46.74 [1470] BETA_NOT_AND : ~(=(B16_58_6, B16_58_6) & xsd_string(B16_58_6))
% 196.44/46.74 -> [1475] ~=(B16_58_6, B16_58_6)
% 196.44/46.74 -> [1476] ~xsd_string(B16_58_6)
% 196.44/46.74
% 196.44/46.74 [1476] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1490] (cowlThing(X17_93_7) & ~cowlNothing(X17_93_7))
% 196.44/46.74
% 196.44/46.74 [1490] ALPHA_AND : (cowlThing(X17_93_7) & ~cowlNothing(X17_93_7))
% 196.44/46.74 -> [1491] cowlThing(X17_93_7), ~cowlNothing(X17_93_7)
% 196.44/46.74
% 196.44/46.74 [1491] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1511] (xsd_string(X18_28_8) <=> ~xsd_integer(X18_28_8))
% 196.44/46.74
% 196.44/46.74 [1511] BETA_EQUIV : (xsd_string(X18_28_8) <=> ~xsd_integer(X18_28_8))
% 196.44/46.74 -> [1512] ~xsd_string(X18_28_8), ~~xsd_integer(X18_28_8)
% 196.44/46.74 -> [1513] xsd_string(X18_28_8), ~xsd_integer(X18_28_8)
% 196.44/46.74
% 196.44/46.74 [1512] ALPHA_NOT_NOT : ~~xsd_integer(X18_28_8)
% 196.44/46.74 -> [1534] xsd_integer(X18_28_8)
% 196.44/46.74
% 196.44/46.74 [1534] CLOSURE : xsd_integer(X18_28_8)
% 196.44/46.74
% 196.44/46.74 [1513] CLOSURE : xsd_string(X18_28_8)
% 196.44/46.74
% 196.44/46.74 [1475] CLOSURE : ~=(B16_58_6, B16_58_6)
% 196.44/46.74
% 196.44/46.74 [1471] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1492] (cowlThing(X17_94_7) & ~cowlNothing(X17_94_7))
% 196.44/46.74
% 196.44/46.74 [1492] ALPHA_AND : (cowlThing(X17_94_7) & ~cowlNothing(X17_94_7))
% 196.44/46.74 -> [1493] cowlThing(X17_94_7), ~cowlNothing(X17_94_7)
% 196.44/46.74
% 196.44/46.74 [1493] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1522] (xsd_string(X18_31_8) <=> ~xsd_integer(X18_31_8))
% 196.44/46.74
% 196.44/46.74 [1522] BETA_EQUIV : (xsd_string(X18_31_8) <=> ~xsd_integer(X18_31_8))
% 196.44/46.74 -> [1523] ~xsd_string(X18_31_8), ~~xsd_integer(X18_31_8)
% 196.44/46.74 -> [1524] xsd_string(X18_31_8), ~xsd_integer(X18_31_8)
% 196.44/46.74
% 196.44/46.74 [1523] ALPHA_NOT_NOT : ~~xsd_integer(X18_31_8)
% 196.44/46.74 -> [1533] xsd_integer(X18_31_8)
% 196.44/46.74
% 196.44/46.74 [1533] CLOSURE : xsd_integer(X18_31_8)
% 196.44/46.74
% 196.44/46.74 [1524] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1538] (cA(ia) <=> =(ia, ia))
% 196.44/46.74
% 196.44/46.74 [1538] BETA_EQUIV : (cA(ia) <=> =(ia, ia))
% 196.44/46.74 -> [1539] ~cA(ia), ~=(ia, ia)
% 196.44/46.74 -> [1540] cA(ia), =(ia, ia)
% 196.44/46.74
% 196.44/46.74 [1539] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [1540] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.74 -> [1791] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.74
% 196.44/46.74 [1791] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.74 -> [1792] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.74 -> [1793] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.74
% 196.44/46.74 [1792] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1793] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1442] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1472] ((=(B16_59_6, B16_59_6) & xsd_string(B16_59_6)) => xsd_string(B16_59_6))
% 196.44/46.74
% 196.44/46.74 [1472] BETA_IMPLY : ((=(B16_59_6, B16_59_6) & xsd_string(B16_59_6)) => xsd_string(B16_59_6))
% 196.44/46.74 -> [1473] ~(=(B16_59_6, B16_59_6) & xsd_string(B16_59_6))
% 196.44/46.74 -> [1474] xsd_string(B16_59_6)
% 196.44/46.74
% 196.44/46.74 [1473] BETA_NOT_AND : ~(=(B16_59_6, B16_59_6) & xsd_string(B16_59_6))
% 196.44/46.74 -> [1483] ~=(B16_59_6, B16_59_6)
% 196.44/46.74 -> [1484] ~xsd_string(B16_59_6)
% 196.44/46.74
% 196.44/46.74 [1483] CLOSURE : ~=(B16_59_6, B16_59_6)
% 196.44/46.74
% 196.44/46.74 [1484] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1499] (cowlThing(X17_96_7) & ~cowlNothing(X17_96_7))
% 196.44/46.74
% 196.44/46.74 [1499] ALPHA_AND : (cowlThing(X17_96_7) & ~cowlNothing(X17_96_7))
% 196.44/46.74 -> [1500] cowlThing(X17_96_7), ~cowlNothing(X17_96_7)
% 196.44/46.74
% 196.44/46.74 [1500] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1502] (xsd_string(X18_26_8) <=> ~xsd_integer(X18_26_8))
% 196.44/46.74
% 196.44/46.74 [1502] BETA_EQUIV : (xsd_string(X18_26_8) <=> ~xsd_integer(X18_26_8))
% 196.44/46.74 -> [1505] ~xsd_string(X18_26_8), ~~xsd_integer(X18_26_8)
% 196.44/46.74 -> [1506] xsd_string(X18_26_8), ~xsd_integer(X18_26_8)
% 196.44/46.74
% 196.44/46.74 [1506] CLOSURE : ~xsd_integer(X18_26_8)
% 196.44/46.74
% 196.44/46.74 [1505] ALPHA_NOT_NOT : ~~xsd_integer(X18_26_8)
% 196.44/46.74 -> [1528] xsd_integer(X18_26_8)
% 196.44/46.74
% 196.44/46.74 [1528] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1530] (cA(ia) <=> =(ia, ia))
% 196.44/46.74
% 196.44/46.74 [1530] BETA_EQUIV : (cA(ia) <=> =(ia, ia))
% 196.44/46.74 -> [1531] ~cA(ia), ~=(ia, ia)
% 196.44/46.74 -> [1532] cA(ia), =(ia, ia)
% 196.44/46.74
% 196.44/46.74 [1531] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [1532] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.74 -> [1581] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.74
% 196.44/46.74 [1581] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.74 -> [1582] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.74 -> [1583] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.74
% 196.44/46.74 [1582] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1583] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1519] BETA_EQUIV : (xsd_string(X18_30_8) <=> ~xsd_integer(X18_30_8))
% 196.44/46.74 -> [1727] ~xsd_string(X18_30_8), ~~xsd_integer(X18_30_8)
% 196.44/46.74 -> [1728] xsd_string(X18_30_8), ~xsd_integer(X18_30_8)
% 196.44/46.74
% 196.44/46.74 [1728] CLOSURE : ~xsd_integer(X18_30_8)
% 196.44/46.74
% 196.44/46.74 [1739] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.74 -> [1764] (cA(ia) <=> =(ia, ia))
% 196.44/46.74
% 196.44/46.74 [1764] BETA_EQUIV : (cA(ia) <=> =(ia, ia))
% 196.44/46.74 -> [1765] ~cA(ia), ~=(ia, ia)
% 196.44/46.74 -> [1766] cA(ia), =(ia, ia)
% 196.44/46.74
% 196.44/46.74 [1765] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [1766] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.74 -> [1857] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.74
% 196.44/46.74 [1857] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.74 -> [1858] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.74 -> [1859] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.74
% 196.44/46.74 [1858] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [1859] CLOSURE : =
% 196.44/46.74
% 196.44/46.74 [586] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [676] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [676] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [678] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [679] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [679] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [779] ((=(B14_17_5, B14_17_5) & xsd_integer(B14_17_5)) => xsd_integer(B14_17_5))
% 196.44/46.74
% 196.44/46.74 [779] BETA_IMPLY : ((=(B14_17_5, B14_17_5) & xsd_integer(B14_17_5)) => xsd_integer(B14_17_5))
% 196.44/46.74 -> [781] ~(=(B14_17_5, B14_17_5) & xsd_integer(B14_17_5))
% 196.44/46.74 -> [782] xsd_integer(B14_17_5)
% 196.44/46.74
% 196.44/46.74 [782] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [823] ((=(B16_22_6, B16_22_6) & xsd_string(B16_22_6)) => xsd_string(B16_22_6))
% 196.44/46.74
% 196.44/46.74 [823] BETA_IMPLY : ((=(B16_22_6, B16_22_6) & xsd_string(B16_22_6)) => xsd_string(B16_22_6))
% 196.44/46.74 -> [824] ~(=(B16_22_6, B16_22_6) & xsd_string(B16_22_6))
% 196.44/46.74 -> [825] xsd_string(B16_22_6)
% 196.44/46.74
% 196.44/46.74 [825] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [843] (cowlThing(X17_27_7) & ~cowlNothing(X17_27_7))
% 196.44/46.74
% 196.44/46.74 [843] ALPHA_AND : (cowlThing(X17_27_7) & ~cowlNothing(X17_27_7))
% 196.44/46.74 -> [844] cowlThing(X17_27_7), ~cowlNothing(X17_27_7)
% 196.44/46.74
% 196.44/46.74 [844] CLOSURE : ~cowlNothing(X17_27_7)
% 196.44/46.74
% 196.44/46.74 [824] BETA_NOT_AND : ~(=(B16_22_6, B16_22_6) & xsd_string(B16_22_6))
% 196.44/46.74 -> [834] ~=(B16_22_6, B16_22_6)
% 196.44/46.74 -> [835] ~xsd_string(B16_22_6)
% 196.44/46.74
% 196.44/46.74 [834] CLOSURE : ~=(B16_22_6, B16_22_6)
% 196.44/46.74
% 196.44/46.74 [835] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [851] (cowlThing(X17_28_7) & ~cowlNothing(X17_28_7))
% 196.44/46.74
% 196.44/46.74 [851] ALPHA_AND : (cowlThing(X17_28_7) & ~cowlNothing(X17_28_7))
% 196.44/46.74 -> [852] cowlThing(X17_28_7), ~cowlNothing(X17_28_7)
% 196.44/46.74
% 196.44/46.74 [852] CLOSURE : ~cowlNothing(X17_28_7)
% 196.44/46.74
% 196.44/46.74 [781] BETA_NOT_AND : ~(=(B14_17_5, B14_17_5) & xsd_integer(B14_17_5))
% 196.44/46.74 -> [1297] ~=(B14_17_5, B14_17_5)
% 196.44/46.74 -> [1298] ~xsd_integer(B14_17_5)
% 196.44/46.74
% 196.44/46.74 [1297] CLOSURE : ~=(B14_17_5, B14_17_5)
% 196.44/46.74
% 196.44/46.74 [1298] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [1339] ((=(B16_52_6, B16_52_6) & xsd_string(B16_52_6)) => xsd_string(B16_52_6))
% 196.44/46.74
% 196.44/46.74 [1339] BETA_IMPLY : ((=(B16_52_6, B16_52_6) & xsd_string(B16_52_6)) => xsd_string(B16_52_6))
% 196.44/46.74 -> [1340] ~(=(B16_52_6, B16_52_6) & xsd_string(B16_52_6))
% 196.44/46.74 -> [1341] xsd_string(B16_52_6)
% 196.44/46.74
% 196.44/46.74 [1341] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1369] (cowlThing(X17_77_7) & ~cowlNothing(X17_77_7))
% 196.44/46.74
% 196.44/46.74 [1369] ALPHA_AND : (cowlThing(X17_77_7) & ~cowlNothing(X17_77_7))
% 196.44/46.74 -> [1370] cowlThing(X17_77_7), ~cowlNothing(X17_77_7)
% 196.44/46.74
% 196.44/46.74 [1370] CLOSURE : ~cowlNothing(X17_77_7)
% 196.44/46.74
% 196.44/46.74 [1340] BETA_NOT_AND : ~(=(B16_52_6, B16_52_6) & xsd_string(B16_52_6))
% 196.44/46.74 -> [1353] ~=(B16_52_6, B16_52_6)
% 196.44/46.74 -> [1354] ~xsd_string(B16_52_6)
% 196.44/46.74
% 196.44/46.74 [1353] CLOSURE : ~=(B16_52_6, B16_52_6)
% 196.44/46.74
% 196.44/46.74 [1354] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1378] (cowlThing(X17_80_7) & ~cowlNothing(X17_80_7))
% 196.44/46.74
% 196.44/46.74 [1378] ALPHA_AND : (cowlThing(X17_80_7) & ~cowlNothing(X17_80_7))
% 196.44/46.74 -> [1379] cowlThing(X17_80_7), ~cowlNothing(X17_80_7)
% 196.44/46.74
% 196.44/46.74 [1379] CLOSURE : ~cowlNothing(X17_80_7)
% 196.44/46.74
% 196.44/46.74 [678] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [731] ~=(ib, ib)
% 196.44/46.74 -> [732] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [732] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [731] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [116] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.74 -> [158] ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.74
% 196.44/46.74 [158] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.74 -> [178] ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.74 -> [179] cB(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [178] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.74 -> [189] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.74 -> [190] ~cB(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [190] CLOSURE : ~cB(skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [189] CLOSURE : ~=(skolem_X2424, skolem_X2424)
% 196.44/46.74
% 196.44/46.74 [179] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.74 -> [216] ((=(B10_6_3, B10_6_3) & cowlNothing(B10_6_3)) => cowlNothing(B10_6_3))
% 196.44/46.74
% 196.44/46.74 [216] BETA_IMPLY : ((=(B10_6_3, B10_6_3) & cowlNothing(B10_6_3)) => cowlNothing(B10_6_3))
% 196.44/46.74 -> [222] ~(=(B10_6_3, B10_6_3) & cowlNothing(B10_6_3))
% 196.44/46.74 -> [223] cowlNothing(B10_6_3)
% 196.44/46.74
% 196.44/46.74 [223] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [243] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74
% 196.44/46.74 [243] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.74 -> [244] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [245] cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [244] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.74 -> [253] ~=(ib, ib)
% 196.44/46.74 -> [254] ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [254] CLOSURE : ~cowlThing(ib)
% 196.44/46.74
% 196.44/46.74 [253] CLOSURE : ~=(ib, ib)
% 196.44/46.74
% 196.44/46.74 [245] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [271] ((=(B14_1_5, B14_1_5) & xsd_integer(B14_1_5)) => xsd_integer(B14_1_5))
% 196.44/46.74
% 196.44/46.74 [271] BETA_IMPLY : ((=(B14_1_5, B14_1_5) & xsd_integer(B14_1_5)) => xsd_integer(B14_1_5))
% 196.44/46.74 -> [272] ~(=(B14_1_5, B14_1_5) & xsd_integer(B14_1_5))
% 196.44/46.74 -> [273] xsd_integer(B14_1_5)
% 196.44/46.74
% 196.44/46.74 [272] BETA_NOT_AND : ~(=(B14_1_5, B14_1_5) & xsd_integer(B14_1_5))
% 196.44/46.74 -> [279] ~=(B14_1_5, B14_1_5)
% 196.44/46.74 -> [280] ~xsd_integer(B14_1_5)
% 196.44/46.74
% 196.44/46.74 [279] CLOSURE : ~=(B14_1_5, B14_1_5)
% 196.44/46.74
% 196.44/46.74 [280] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [449] ((=(B16_4_6, B16_4_6) & xsd_string(B16_4_6)) => xsd_string(B16_4_6))
% 196.44/46.74
% 196.44/46.74 [449] BETA_IMPLY : ((=(B16_4_6, B16_4_6) & xsd_string(B16_4_6)) => xsd_string(B16_4_6))
% 196.44/46.74 -> [450] ~(=(B16_4_6, B16_4_6) & xsd_string(B16_4_6))
% 196.44/46.74 -> [451] xsd_string(B16_4_6)
% 196.44/46.74
% 196.44/46.74 [451] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [464] (cowlThing(X17_1_7) & ~cowlNothing(X17_1_7))
% 196.44/46.74
% 196.44/46.74 [464] ALPHA_AND : (cowlThing(X17_1_7) & ~cowlNothing(X17_1_7))
% 196.44/46.74 -> [466] cowlThing(X17_1_7), ~cowlNothing(X17_1_7)
% 196.44/46.74
% 196.44/46.74 [466] CLOSURE : ~cowlNothing(X17_1_7)
% 196.44/46.74
% 196.44/46.74 [450] BETA_NOT_AND : ~(=(B16_4_6, B16_4_6) & xsd_string(B16_4_6))
% 196.44/46.74 -> [453] ~=(B16_4_6, B16_4_6)
% 196.44/46.74 -> [454] ~xsd_string(B16_4_6)
% 196.44/46.74
% 196.44/46.74 [453] CLOSURE : ~=(B16_4_6, B16_4_6)
% 196.44/46.74
% 196.44/46.74 [454] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [474] (cowlThing(X17_2_7) & ~cowlNothing(X17_2_7))
% 196.44/46.74
% 196.44/46.74 [474] ALPHA_AND : (cowlThing(X17_2_7) & ~cowlNothing(X17_2_7))
% 196.44/46.74 -> [475] cowlThing(X17_2_7), ~cowlNothing(X17_2_7)
% 196.44/46.74
% 196.44/46.74 [475] CLOSURE : ~cowlNothing(X17_2_7)
% 196.44/46.74
% 196.44/46.74 [273] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [285] ((=(B16_0_6, B16_0_6) & xsd_string(B16_0_6)) => xsd_string(B16_0_6))
% 196.44/46.74
% 196.44/46.74 [285] BETA_IMPLY : ((=(B16_0_6, B16_0_6) & xsd_string(B16_0_6)) => xsd_string(B16_0_6))
% 196.44/46.74 -> [286] ~(=(B16_0_6, B16_0_6) & xsd_string(B16_0_6))
% 196.44/46.74 -> [287] xsd_string(B16_0_6)
% 196.44/46.74
% 196.44/46.74 [287] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [624] (cowlThing(X17_12_7) & ~cowlNothing(X17_12_7))
% 196.44/46.74
% 196.44/46.74 [624] ALPHA_AND : (cowlThing(X17_12_7) & ~cowlNothing(X17_12_7))
% 196.44/46.74 -> [625] cowlThing(X17_12_7), ~cowlNothing(X17_12_7)
% 196.44/46.74
% 196.44/46.74 [625] CLOSURE : ~cowlNothing(X17_12_7)
% 196.44/46.74
% 196.44/46.74 [286] BETA_NOT_AND : ~(=(B16_0_6, B16_0_6) & xsd_string(B16_0_6))
% 196.44/46.74 -> [816] ~=(B16_0_6, B16_0_6)
% 196.44/46.74 -> [817] ~xsd_string(B16_0_6)
% 196.44/46.74
% 196.44/46.74 [816] CLOSURE : ~=(B16_0_6, B16_0_6)
% 196.44/46.74
% 196.44/46.74 [817] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [839] (cowlThing(X17_26_7) & ~cowlNothing(X17_26_7))
% 196.44/46.74
% 196.44/46.74 [839] ALPHA_AND : (cowlThing(X17_26_7) & ~cowlNothing(X17_26_7))
% 196.44/46.74 -> [840] cowlThing(X17_26_7), ~cowlNothing(X17_26_7)
% 196.44/46.74
% 196.44/46.74 [840] CLOSURE : ~cowlNothing(X17_26_7)
% 196.44/46.74
% 196.44/46.74 [222] BETA_NOT_AND : ~(=(B10_6_3, B10_6_3) & cowlNothing(B10_6_3))
% 196.44/46.74 -> [303] ~=(B10_6_3, B10_6_3)
% 196.44/46.74 -> [304] ~cowlNothing(B10_6_3)
% 196.44/46.74
% 196.44/46.74 [303] CLOSURE : ~=(B10_6_3, B10_6_3)
% 196.44/46.74
% 196.44/46.74 [304] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.74 -> [495] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74
% 196.44/46.74 [495] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.74 -> [496] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [497] cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [496] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.74 -> [513] ~=(ia, ia)
% 196.44/46.74 -> [514] ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [514] CLOSURE : ~cowlThing(ia)
% 196.44/46.74
% 196.44/46.74 [513] CLOSURE : ~=(ia, ia)
% 196.44/46.74
% 196.44/46.74 [497] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.74 -> [554] ((=(B14_13_5, B14_13_5) & xsd_integer(B14_13_5)) => xsd_integer(B14_13_5))
% 196.44/46.74
% 196.44/46.74 [554] BETA_IMPLY : ((=(B14_13_5, B14_13_5) & xsd_integer(B14_13_5)) => xsd_integer(B14_13_5))
% 196.44/46.74 -> [556] ~(=(B14_13_5, B14_13_5) & xsd_integer(B14_13_5))
% 196.44/46.74 -> [557] xsd_integer(B14_13_5)
% 196.44/46.74
% 196.44/46.74 [556] BETA_NOT_AND : ~(=(B14_13_5, B14_13_5) & xsd_integer(B14_13_5))
% 196.44/46.74 -> [567] ~=(B14_13_5, B14_13_5)
% 196.44/46.74 -> [568] ~xsd_integer(B14_13_5)
% 196.44/46.74
% 196.44/46.74 [567] CLOSURE : ~=(B14_13_5, B14_13_5)
% 196.44/46.74
% 196.44/46.74 [568] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.74 -> [704] ((=(B16_18_6, B16_18_6) & xsd_string(B16_18_6)) => xsd_string(B16_18_6))
% 196.44/46.74
% 196.44/46.74 [704] BETA_IMPLY : ((=(B16_18_6, B16_18_6) & xsd_string(B16_18_6)) => xsd_string(B16_18_6))
% 196.44/46.74 -> [705] ~(=(B16_18_6, B16_18_6) & xsd_string(B16_18_6))
% 196.44/46.74 -> [706] xsd_string(B16_18_6)
% 196.44/46.74
% 196.44/46.74 [705] BETA_NOT_AND : ~(=(B16_18_6, B16_18_6) & xsd_string(B16_18_6))
% 196.44/46.74 -> [757] ~=(B16_18_6, B16_18_6)
% 196.44/46.74 -> [758] ~xsd_string(B16_18_6)
% 196.44/46.74
% 196.44/46.74 [758] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1260] (cowlThing(X17_65_7) & ~cowlNothing(X17_65_7))
% 196.44/46.74
% 196.44/46.74 [1260] ALPHA_AND : (cowlThing(X17_65_7) & ~cowlNothing(X17_65_7))
% 196.44/46.74 -> [1261] cowlThing(X17_65_7), ~cowlNothing(X17_65_7)
% 196.44/46.74
% 196.44/46.74 [1261] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1282] (xsd_string(X18_14_8) <=> ~xsd_integer(X18_14_8))
% 196.44/46.74
% 196.44/46.74 [1282] BETA_EQUIV : (xsd_string(X18_14_8) <=> ~xsd_integer(X18_14_8))
% 196.44/46.74 -> [1283] ~xsd_string(X18_14_8), ~~xsd_integer(X18_14_8)
% 196.44/46.74 -> [1284] xsd_string(X18_14_8), ~xsd_integer(X18_14_8)
% 196.44/46.74
% 196.44/46.74 [1284] CLOSURE : xsd_string(X18_14_8)
% 196.44/46.74
% 196.44/46.74 [1293] CLOSURE : xsd_integer(X18_14_8)
% 196.44/46.74
% 196.44/46.74 [757] CLOSURE : ~=(B16_18_6, B16_18_6)
% 196.44/46.74
% 196.44/46.74 [706] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.74 -> [1267] (cowlThing(X17_66_7) & ~cowlNothing(X17_66_7))
% 196.44/46.74
% 196.44/46.74 [1267] ALPHA_AND : (cowlThing(X17_66_7) & ~cowlNothing(X17_66_7))
% 196.44/46.74 -> [1268] cowlThing(X17_66_7), ~cowlNothing(X17_66_7)
% 196.44/46.74
% 196.44/46.74 [1268] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.74 -> [1303] (xsd_string(X18_17_8) <=> ~xsd_integer(X18_17_8))
% 196.44/46.74
% 196.44/46.74 [1303] BETA_EQUIV : (xsd_string(X18_17_8) <=> ~xsd_integer(X18_17_8))
% 196.44/46.74 -> [1306] ~xsd_string(X18_17_8), ~~xsd_integer(X18_17_8)
% 196.44/46.75 -> [1307] xsd_string(X18_17_8), ~xsd_integer(X18_17_8)
% 196.44/46.75
% 196.44/46.75 [1306] ALPHA_NOT_NOT : ~~xsd_integer(X18_17_8)
% 196.44/46.75 -> [1351] xsd_integer(X18_17_8)
% 196.44/46.75
% 196.44/46.75 [1351] CLOSURE : xsd_integer(X18_17_8)
% 196.44/46.75
% 196.44/46.75 [1307] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.75 -> [1358] (cA(ia) <=> =(ia, ia))
% 196.44/46.75
% 196.44/46.75 [1358] BETA_EQUIV : (cA(ia) <=> =(ia, ia))
% 196.44/46.75 -> [1359] ~cA(ia), ~=(ia, ia)
% 196.44/46.75 -> [1360] cA(ia), =(ia, ia)
% 196.44/46.75
% 196.44/46.75 [1359] CLOSURE : ~=(ia, ia)
% 196.44/46.75
% 196.44/46.75 [1360] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.75 -> [1578] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75
% 196.44/46.75 [1578] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75 -> [1579] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.75 -> [1580] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [1579] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [1580] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [966] BETA_IMPLY : ((=(B16_29_6, B16_29_6) & xsd_string(B16_29_6)) => xsd_string(B16_29_6))
% 196.44/46.75 -> [2751] ~(=(B16_29_6, B16_29_6) & xsd_string(B16_29_6))
% 196.44/46.75 -> [2752] xsd_string(B16_29_6)
% 196.44/46.75
% 196.44/46.75 [2751] BETA_NOT_AND : ~(=(B16_29_6, B16_29_6) & xsd_string(B16_29_6))
% 196.44/46.75 -> [2755] ~=(B16_29_6, B16_29_6)
% 196.44/46.75 -> [2756] ~xsd_string(B16_29_6)
% 196.44/46.75
% 196.44/46.75 [2755] CLOSURE : ~=(B16_29_6, B16_29_6)
% 196.44/46.75
% 196.44/46.75 [2756] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [2771] (cowlThing(X17_221_7) & ~cowlNothing(X17_221_7))
% 196.44/46.75
% 196.44/46.75 [2771] ALPHA_AND : (cowlThing(X17_221_7) & ~cowlNothing(X17_221_7))
% 196.44/46.75 -> [2772] cowlThing(X17_221_7), ~cowlNothing(X17_221_7)
% 196.44/46.75
% 196.44/46.75 [2772] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [2784] (xsd_string(X18_76_8) <=> ~xsd_integer(X18_76_8))
% 196.44/46.75
% 196.44/46.75 [2784] BETA_EQUIV : (xsd_string(X18_76_8) <=> ~xsd_integer(X18_76_8))
% 196.44/46.75 -> [2787] ~xsd_string(X18_76_8), ~~xsd_integer(X18_76_8)
% 196.44/46.75 -> [2788] xsd_string(X18_76_8), ~xsd_integer(X18_76_8)
% 196.44/46.75
% 196.44/46.75 [2788] CLOSURE : ~xsd_integer(X18_76_8)
% 196.44/46.75
% 196.44/46.75 [2787] ALPHA_NOT_NOT : ~~xsd_integer(X18_76_8)
% 196.44/46.75 -> [2801] xsd_integer(X18_76_8)
% 196.44/46.75
% 196.44/46.75 [2801] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.75 -> [2806] (cA(ia) <=> =(ia, ia))
% 196.44/46.75
% 196.44/46.75 [2806] BETA_EQUIV : (cA(ia) <=> =(ia, ia))
% 196.44/46.75 -> [2807] ~cA(ia), ~=(ia, ia)
% 196.44/46.75 -> [2808] cA(ia), =(ia, ia)
% 196.44/46.75
% 196.44/46.75 [2807] CLOSURE : ~=(ia, ia)
% 196.44/46.75
% 196.44/46.75 [2808] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.75 -> [2840] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75
% 196.44/46.75 [2840] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75 -> [2841] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.75 -> [2842] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [2841] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [2842] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [2778] BETA_EQUIV : (xsd_string(X18_75_8) <=> ~xsd_integer(X18_75_8))
% 196.44/46.75 -> [2858] ~xsd_string(X18_75_8), ~~xsd_integer(X18_75_8)
% 196.44/46.75 -> [2859] xsd_string(X18_75_8), ~xsd_integer(X18_75_8)
% 196.44/46.75
% 196.44/46.75 [2859] CLOSURE : ~xsd_integer(X18_75_8)
% 196.44/46.75
% 196.44/46.75 [2860] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.75 -> [2861] (cA(ia) <=> =(ia, ia))
% 196.44/46.75
% 196.44/46.75 [2861] BETA_EQUIV : (cA(ia) <=> =(ia, ia))
% 196.44/46.75 -> [2864] ~cA(ia), ~=(ia, ia)
% 196.44/46.75 -> [2865] cA(ia), =(ia, ia)
% 196.44/46.75
% 196.44/46.75 [2864] CLOSURE : ~=(ia, ia)
% 196.44/46.75
% 196.44/46.75 [2865] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.75 -> [2921] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75
% 196.44/46.75 [2921] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75 -> [2922] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.75 -> [2923] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [2922] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [2923] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [57] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.75 -> [70] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [71] ~cA(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [71] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.75 -> [126] ((=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424)) => cA_and_B(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [126] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424)) => cA_and_B(skolem_X2424))
% 196.44/46.75 -> [127] ~(=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424))
% 196.44/46.75 -> [128] cA_and_B(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [127] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424))
% 196.44/46.75 -> [142] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [143] ~cA_and_B(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [142] CLOSURE : ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [143] ALPHA_NOT_OR : ~(cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75 -> [680] ~cA(skolem_X2424), ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [680] CLOSURE : ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [128] BETA_OR : (cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75 -> [3699] cA(skolem_X2424)
% 196.44/46.75 -> [3700] cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3699] CLOSURE : cA(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3700] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.75 -> [3704] ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [3704] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.75 -> [3705] ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.75 -> [3706] cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3705] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.75 -> [3707] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [3708] ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3707] CLOSURE : ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3708] CLOSURE : ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3706] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.75 -> [3709] ((=(B10_40_3, B10_40_3) & cowlNothing(B10_40_3)) => cowlNothing(B10_40_3))
% 196.44/46.75
% 196.44/46.75 [3709] BETA_IMPLY : ((=(B10_40_3, B10_40_3) & cowlNothing(B10_40_3)) => cowlNothing(B10_40_3))
% 196.44/46.75 -> [3710] ~(=(B10_40_3, B10_40_3) & cowlNothing(B10_40_3))
% 196.44/46.75 -> [3711] cowlNothing(B10_40_3)
% 196.44/46.75
% 196.44/46.75 [3711] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.75 -> [3714] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75
% 196.44/46.75 [3714] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75 -> [3715] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [3716] cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [3715] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [3720] ~=(ib, ib)
% 196.44/46.75 -> [3721] ~cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [3720] CLOSURE : ~=(ib, ib)
% 196.44/46.75
% 196.44/46.75 [3721] CLOSURE : ~cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [3716] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.75 -> [3729] ((=(B14_75_5, B14_75_5) & xsd_integer(B14_75_5)) => xsd_integer(B14_75_5))
% 196.44/46.75
% 196.44/46.75 [3729] BETA_IMPLY : ((=(B14_75_5, B14_75_5) & xsd_integer(B14_75_5)) => xsd_integer(B14_75_5))
% 196.44/46.75 -> [3730] ~(=(B14_75_5, B14_75_5) & xsd_integer(B14_75_5))
% 196.44/46.75 -> [3731] xsd_integer(B14_75_5)
% 196.44/46.75
% 196.44/46.75 [3731] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [3748] ((=(B16_144_6, B16_144_6) & xsd_string(B16_144_6)) => xsd_string(B16_144_6))
% 196.44/46.75
% 196.44/46.75 [3748] BETA_IMPLY : ((=(B16_144_6, B16_144_6) & xsd_string(B16_144_6)) => xsd_string(B16_144_6))
% 196.44/46.75 -> [3749] ~(=(B16_144_6, B16_144_6) & xsd_string(B16_144_6))
% 196.44/46.75 -> [3750] xsd_string(B16_144_6)
% 196.44/46.75
% 196.44/46.75 [3750] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3768] (cowlThing(X17_300_7) & ~cowlNothing(X17_300_7))
% 196.44/46.75
% 196.44/46.75 [3768] ALPHA_AND : (cowlThing(X17_300_7) & ~cowlNothing(X17_300_7))
% 196.44/46.75 -> [3769] cowlThing(X17_300_7), ~cowlNothing(X17_300_7)
% 196.44/46.75
% 196.44/46.75 [3769] CLOSURE : ~cowlNothing(X17_300_7)
% 196.44/46.75
% 196.44/46.75 [3749] BETA_NOT_AND : ~(=(B16_144_6, B16_144_6) & xsd_string(B16_144_6))
% 196.44/46.75 -> [3754] ~=(B16_144_6, B16_144_6)
% 196.44/46.75 -> [3755] ~xsd_string(B16_144_6)
% 196.44/46.75
% 196.44/46.75 [3754] CLOSURE : ~=(B16_144_6, B16_144_6)
% 196.44/46.75
% 196.44/46.75 [3755] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3778] (cowlThing(X17_303_7) & ~cowlNothing(X17_303_7))
% 196.44/46.75
% 196.44/46.75 [3778] ALPHA_AND : (cowlThing(X17_303_7) & ~cowlNothing(X17_303_7))
% 196.44/46.75 -> [3779] cowlThing(X17_303_7), ~cowlNothing(X17_303_7)
% 196.44/46.75
% 196.44/46.75 [3779] CLOSURE : ~cowlNothing(X17_303_7)
% 196.44/46.75
% 196.44/46.75 [3730] BETA_NOT_AND : ~(=(B14_75_5, B14_75_5) & xsd_integer(B14_75_5))
% 196.44/46.75 -> [3740] ~=(B14_75_5, B14_75_5)
% 196.44/46.75 -> [3741] ~xsd_integer(B14_75_5)
% 196.44/46.75
% 196.44/46.75 [3740] CLOSURE : ~=(B14_75_5, B14_75_5)
% 196.44/46.75
% 196.44/46.75 [3741] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [3751] ((=(B16_145_6, B16_145_6) & xsd_string(B16_145_6)) => xsd_string(B16_145_6))
% 196.44/46.75
% 196.44/46.75 [3751] BETA_IMPLY : ((=(B16_145_6, B16_145_6) & xsd_string(B16_145_6)) => xsd_string(B16_145_6))
% 196.44/46.75 -> [3752] ~(=(B16_145_6, B16_145_6) & xsd_string(B16_145_6))
% 196.44/46.75 -> [3753] xsd_string(B16_145_6)
% 196.44/46.75
% 196.44/46.75 [3753] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3777] (cowlThing(X17_302_7) & ~cowlNothing(X17_302_7))
% 196.44/46.75
% 196.44/46.75 [3777] ALPHA_AND : (cowlThing(X17_302_7) & ~cowlNothing(X17_302_7))
% 196.44/46.75 -> [3780] cowlThing(X17_302_7), ~cowlNothing(X17_302_7)
% 196.44/46.75
% 196.44/46.75 [3780] CLOSURE : ~cowlNothing(X17_302_7)
% 196.44/46.75
% 196.44/46.75 [3752] BETA_NOT_AND : ~(=(B16_145_6, B16_145_6) & xsd_string(B16_145_6))
% 196.44/46.75 -> [3756] ~=(B16_145_6, B16_145_6)
% 196.44/46.75 -> [3757] ~xsd_string(B16_145_6)
% 196.44/46.75
% 196.44/46.75 [3756] CLOSURE : ~=(B16_145_6, B16_145_6)
% 196.44/46.75
% 196.44/46.75 [3757] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3771] (cowlThing(X17_301_7) & ~cowlNothing(X17_301_7))
% 196.44/46.75
% 196.44/46.75 [3771] ALPHA_AND : (cowlThing(X17_301_7) & ~cowlNothing(X17_301_7))
% 196.44/46.75 -> [3773] cowlThing(X17_301_7), ~cowlNothing(X17_301_7)
% 196.44/46.75
% 196.44/46.75 [3773] CLOSURE : ~cowlNothing(X17_301_7)
% 196.44/46.75
% 196.44/46.75 [3710] BETA_NOT_AND : ~(=(B10_40_3, B10_40_3) & cowlNothing(B10_40_3))
% 196.44/46.75 -> [3712] ~=(B10_40_3, B10_40_3)
% 196.44/46.75 -> [3713] ~cowlNothing(B10_40_3)
% 196.44/46.75
% 196.44/46.75 [3712] CLOSURE : ~=(B10_40_3, B10_40_3)
% 196.44/46.75
% 196.44/46.75 [3713] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.75 -> [3717] ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.75
% 196.44/46.75 [3717] BETA_IMPLY : ((=(ia, ia) & cowlThing(ia)) => cowlThing(ia))
% 196.44/46.75 -> [3718] ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.75 -> [3719] cowlThing(ia)
% 196.44/46.75
% 196.44/46.75 [3718] BETA_NOT_AND : ~(=(ia, ia) & cowlThing(ia))
% 196.44/46.75 -> [3722] ~=(ia, ia)
% 196.44/46.75 -> [3723] ~cowlThing(ia)
% 196.44/46.75
% 196.44/46.75 [3723] CLOSURE : ~cowlThing(ia)
% 196.44/46.75
% 196.44/46.75 [3722] CLOSURE : ~=(ia, ia)
% 196.44/46.75
% 196.44/46.75 [3719] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.75 -> [3724] ((=(B14_74_5, B14_74_5) & xsd_integer(B14_74_5)) => xsd_integer(B14_74_5))
% 196.44/46.75
% 196.44/46.75 [3724] BETA_IMPLY : ((=(B14_74_5, B14_74_5) & xsd_integer(B14_74_5)) => xsd_integer(B14_74_5))
% 196.44/46.75 -> [3725] ~(=(B14_74_5, B14_74_5) & xsd_integer(B14_74_5))
% 196.44/46.75 -> [3726] xsd_integer(B14_74_5)
% 196.44/46.75
% 196.44/46.75 [3725] BETA_NOT_AND : ~(=(B14_74_5, B14_74_5) & xsd_integer(B14_74_5))
% 196.44/46.75 -> [3727] ~=(B14_74_5, B14_74_5)
% 196.44/46.75 -> [3728] ~xsd_integer(B14_74_5)
% 196.44/46.75
% 196.44/46.75 [3727] CLOSURE : ~=(B14_74_5, B14_74_5)
% 196.44/46.75
% 196.44/46.75 [3728] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [3732] ((=(B16_142_6, B16_142_6) & xsd_string(B16_142_6)) => xsd_string(B16_142_6))
% 196.44/46.75
% 196.44/46.75 [3732] BETA_IMPLY : ((=(B16_142_6, B16_142_6) & xsd_string(B16_142_6)) => xsd_string(B16_142_6))
% 196.44/46.75 -> [3733] ~(=(B16_142_6, B16_142_6) & xsd_string(B16_142_6))
% 196.44/46.75 -> [3734] xsd_string(B16_142_6)
% 196.44/46.75
% 196.44/46.75 [3733] BETA_NOT_AND : ~(=(B16_142_6, B16_142_6) & xsd_string(B16_142_6))
% 196.44/46.75 -> [3738] ~=(B16_142_6, B16_142_6)
% 196.44/46.75 -> [3739] ~xsd_string(B16_142_6)
% 196.44/46.75
% 196.44/46.75 [3738] CLOSURE : ~=(B16_142_6, B16_142_6)
% 196.44/46.75
% 196.44/46.75 [3761] BETA_EQUIV : (xsd_string(X18_132_8) <=> ~xsd_integer(X18_132_8))
% 196.44/46.75 -> [3806] ~xsd_string(X18_132_8), ~~xsd_integer(X18_132_8)
% 196.44/46.75 -> [3807] xsd_string(X18_132_8), ~xsd_integer(X18_132_8)
% 196.44/46.75
% 196.44/46.75 [3806] ALPHA_NOT_NOT : ~~xsd_integer(X18_132_8)
% 196.44/46.75 -> [3809] xsd_integer(X18_132_8)
% 196.44/46.75
% 196.44/46.75 [3809] CLOSURE : xsd_integer(X18_132_8)
% 196.44/46.75
% 196.44/46.75 [3807] CLOSURE : xsd_string(X18_132_8)
% 196.44/46.75
% 196.44/46.75 [3734] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3744] (cowlThing(X17_296_7) & ~cowlNothing(X17_296_7))
% 196.44/46.75
% 196.44/46.75 [3744] ALPHA_AND : (cowlThing(X17_296_7) & ~cowlNothing(X17_296_7))
% 196.44/46.75 -> [3745] cowlThing(X17_296_7), ~cowlNothing(X17_296_7)
% 196.44/46.75
% 196.44/46.75 [3745] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [3765] (xsd_string(X18_133_8) <=> ~xsd_integer(X18_133_8))
% 196.44/46.75
% 196.44/46.75 [3765] BETA_EQUIV : (xsd_string(X18_133_8) <=> ~xsd_integer(X18_133_8))
% 196.44/46.75 -> [3766] ~xsd_string(X18_133_8), ~~xsd_integer(X18_133_8)
% 196.44/46.75 -> [3767] xsd_string(X18_133_8), ~xsd_integer(X18_133_8)
% 196.44/46.75
% 196.44/46.75 [3766] ALPHA_NOT_NOT : ~~xsd_integer(X18_133_8)
% 196.44/46.75 -> [3770] xsd_integer(X18_133_8)
% 196.44/46.75
% 196.44/46.75 [3770] CLOSURE : xsd_integer(X18_133_8)
% 196.44/46.75
% 196.44/46.75 [3774] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.75 -> [3838] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.75 -> [3839] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.75
% 196.44/46.75 [3839] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3838] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.75 -> [3867] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75
% 196.44/46.75 [3867] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75 -> [3868] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.75 -> [3869] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [3868] CLOSURE : ~=(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [3869] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3726] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [3735] ((=(B16_143_6, B16_143_6) & xsd_string(B16_143_6)) => xsd_string(B16_143_6))
% 196.44/46.75
% 196.44/46.75 [3735] BETA_IMPLY : ((=(B16_143_6, B16_143_6) & xsd_string(B16_143_6)) => xsd_string(B16_143_6))
% 196.44/46.75 -> [3736] ~(=(B16_143_6, B16_143_6) & xsd_string(B16_143_6))
% 196.44/46.75 -> [3737] xsd_string(B16_143_6)
% 196.44/46.75
% 196.44/46.75 [3737] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3758] (cowlThing(X17_298_7) & ~cowlNothing(X17_298_7))
% 196.44/46.75
% 196.44/46.75 [3758] ALPHA_AND : (cowlThing(X17_298_7) & ~cowlNothing(X17_298_7))
% 196.44/46.75 -> [3759] cowlThing(X17_298_7), ~cowlNothing(X17_298_7)
% 196.44/46.75
% 196.44/46.75 [3759] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [3784] (xsd_string(X18_135_8) <=> ~xsd_integer(X18_135_8))
% 196.44/46.75
% 196.44/46.75 [3784] BETA_EQUIV : (xsd_string(X18_135_8) <=> ~xsd_integer(X18_135_8))
% 196.44/46.75 -> [3785] ~xsd_string(X18_135_8), ~~xsd_integer(X18_135_8)
% 196.44/46.75 -> [3786] xsd_string(X18_135_8), ~xsd_integer(X18_135_8)
% 196.44/46.75
% 196.44/46.75 [3785] ALPHA_NOT_NOT : ~~xsd_integer(X18_135_8)
% 196.44/46.75 -> [3795] xsd_integer(X18_135_8)
% 196.44/46.75
% 196.44/46.75 [3795] CLOSURE : ~~xsd_integer(X18_135_8)
% 196.44/46.75
% 196.44/46.75 [3786] CLOSURE : ~xsd_integer(X18_135_8)
% 196.44/46.75
% 196.44/46.75 [3736] BETA_NOT_AND : ~(=(B16_143_6, B16_143_6) & xsd_string(B16_143_6))
% 196.44/46.75 -> [3917] ~=(B16_143_6, B16_143_6)
% 196.44/46.75 -> [3918] ~xsd_string(B16_143_6)
% 196.44/46.75
% 196.44/46.75 [3917] CLOSURE : ~=(B16_143_6, B16_143_6)
% 196.44/46.75
% 196.44/46.75 [3918] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3919] (cowlThing(X17_314_7) & ~cowlNothing(X17_314_7))
% 196.44/46.75
% 196.44/46.75 [3919] ALPHA_AND : (cowlThing(X17_314_7) & ~cowlNothing(X17_314_7))
% 196.44/46.75 -> [3920] cowlThing(X17_314_7), ~cowlNothing(X17_314_7)
% 196.44/46.75
% 196.44/46.75 [3920] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [3924] (xsd_string(X18_142_8) <=> ~xsd_integer(X18_142_8))
% 196.44/46.75
% 196.44/46.75 [3924] BETA_EQUIV : (xsd_string(X18_142_8) <=> ~xsd_integer(X18_142_8))
% 196.44/46.75 -> [3925] ~xsd_string(X18_142_8), ~~xsd_integer(X18_142_8)
% 196.44/46.75 -> [3926] xsd_string(X18_142_8), ~xsd_integer(X18_142_8)
% 196.44/46.75
% 196.44/46.75 [3926] CLOSURE : ~xsd_integer(X18_142_8)
% 196.44/46.75
% 196.44/46.75 [3929] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.75 -> [3945] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.75 -> [3946] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.75
% 196.44/46.75 [3946] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3945] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.75 -> [3950] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75
% 196.44/46.75 [3950] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75 -> [3951] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.75 -> [3952] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [3951] CLOSURE : ~=(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [3952] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [70] CLOSURE : ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [11] Rewrite : ~cA_and_B(skolem_X2424)
% 196.44/46.75 -> [19] ~(cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [19] ALPHA_NOT_OR : ~(cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75 -> [22] ~cA(skolem_X2424), ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [22] BETA_OR : (=(skolem_X2424, ib) | =(skolem_X2424, ia))
% 196.44/46.75 -> [25] =(skolem_X2424, ib)
% 196.44/46.75 -> [26] =(skolem_X2424, ia)
% 196.44/46.75
% 196.44/46.75 [26] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.75 -> [134] ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [134] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.75 -> [135] ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.75 -> [136] cA(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [136] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [135] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.75 -> [3219] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [3220] ~cA(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3219] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3220] GAMMA_FORALL : ! [A5_5, B6_6] : (((=(A5_5, B6_6) & cA_and_B(A5_5)) => cA_and_B(B6_6)))
% 196.44/46.75 -> [3226] ((=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424)) => cA_and_B(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [3226] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424)) => cA_and_B(skolem_X2424))
% 196.44/46.75 -> [3227] ~(=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424))
% 196.44/46.75 -> [3228] cA_and_B(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3228] Rewrite : cA_and_B(skolem_X2424)
% 196.44/46.75 -> [3232] (cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [3232] BETA_OR : (cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75 -> [3234] cA(skolem_X2424)
% 196.44/46.75 -> [3235] cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3235] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3234] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3227] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cA_and_B(skolem_X2424))
% 196.44/46.75 -> [3793] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [3794] ~cA_and_B(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3793] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3794] Rewrite : ~cA_and_B(skolem_X2424)
% 196.44/46.75 -> [3799] ~(cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [3799] ALPHA_NOT_OR : ~(cA(skolem_X2424) | cB(skolem_X2424))
% 196.44/46.75 -> [3800] ~cA(skolem_X2424), ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3800] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.75 -> [3801] ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [3801] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.75 -> [3802] ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.75 -> [3803] cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3803] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3802] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.75 -> [3953] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [3954] ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [3953] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3954] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.75 -> [3955] ((=(B10_42_3, B10_42_3) & cowlNothing(B10_42_3)) => cowlNothing(B10_42_3))
% 196.44/46.75
% 196.44/46.75 [3955] BETA_IMPLY : ((=(B10_42_3, B10_42_3) & cowlNothing(B10_42_3)) => cowlNothing(B10_42_3))
% 196.44/46.75 -> [3956] ~(=(B10_42_3, B10_42_3) & cowlNothing(B10_42_3))
% 196.44/46.75 -> [3957] cowlNothing(B10_42_3)
% 196.44/46.75
% 196.44/46.75 [3957] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.75 -> [3962] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75
% 196.44/46.75 [3962] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75 -> [3964] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [3965] cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [3964] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [3968] ~=(ib, ib)
% 196.44/46.75 -> [3969] ~cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [3968] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3969] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3965] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.75 -> [3972] ((=(B14_78_5, B14_78_5) & xsd_integer(B14_78_5)) => xsd_integer(B14_78_5))
% 196.44/46.75
% 196.44/46.75 [3972] BETA_IMPLY : ((=(B14_78_5, B14_78_5) & xsd_integer(B14_78_5)) => xsd_integer(B14_78_5))
% 196.44/46.75 -> [3973] ~(=(B14_78_5, B14_78_5) & xsd_integer(B14_78_5))
% 196.44/46.75 -> [3974] xsd_integer(B14_78_5)
% 196.44/46.75
% 196.44/46.75 [3974] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [3982] ((=(B16_150_6, B16_150_6) & xsd_string(B16_150_6)) => xsd_string(B16_150_6))
% 196.44/46.75
% 196.44/46.75 [3982] BETA_IMPLY : ((=(B16_150_6, B16_150_6) & xsd_string(B16_150_6)) => xsd_string(B16_150_6))
% 196.44/46.75 -> [3983] ~(=(B16_150_6, B16_150_6) & xsd_string(B16_150_6))
% 196.44/46.75 -> [3984] xsd_string(B16_150_6)
% 196.44/46.75
% 196.44/46.75 [3984] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3992] (cowlThing(X17_315_7) & ~cowlNothing(X17_315_7))
% 196.44/46.75
% 196.44/46.75 [3992] ALPHA_AND : (cowlThing(X17_315_7) & ~cowlNothing(X17_315_7))
% 196.44/46.75 -> [3993] cowlThing(X17_315_7), ~cowlNothing(X17_315_7)
% 196.44/46.75
% 196.44/46.75 [3993] CLOSURE : ~cowlNothing(X17_315_7)
% 196.44/46.75
% 196.44/46.75 [3983] BETA_NOT_AND : ~(=(B16_150_6, B16_150_6) & xsd_string(B16_150_6))
% 196.44/46.75 -> [3985] ~=(B16_150_6, B16_150_6)
% 196.44/46.75 -> [3986] ~xsd_string(B16_150_6)
% 196.44/46.75
% 196.44/46.75 [3985] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3986] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [3999] (cowlThing(X17_316_7) & ~cowlNothing(X17_316_7))
% 196.44/46.75
% 196.44/46.75 [3999] ALPHA_AND : (cowlThing(X17_316_7) & ~cowlNothing(X17_316_7))
% 196.44/46.75 -> [4000] cowlThing(X17_316_7), ~cowlNothing(X17_316_7)
% 196.44/46.75
% 196.44/46.75 [4000] CLOSURE : ~cowlNothing(X17_316_7)
% 196.44/46.75
% 196.44/46.75 [3973] BETA_NOT_AND : ~(=(B14_78_5, B14_78_5) & xsd_integer(B14_78_5))
% 196.44/46.75 -> [3975] ~=(B14_78_5, B14_78_5)
% 196.44/46.75 -> [3976] ~xsd_integer(B14_78_5)
% 196.44/46.75
% 196.44/46.75 [3975] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3976] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [3987] ((=(B16_151_6, B16_151_6) & xsd_string(B16_151_6)) => xsd_string(B16_151_6))
% 196.44/46.75
% 196.44/46.75 [3987] BETA_IMPLY : ((=(B16_151_6, B16_151_6) & xsd_string(B16_151_6)) => xsd_string(B16_151_6))
% 196.44/46.75 -> [3988] ~(=(B16_151_6, B16_151_6) & xsd_string(B16_151_6))
% 196.44/46.75 -> [3989] xsd_string(B16_151_6)
% 196.44/46.75
% 196.44/46.75 [3988] BETA_NOT_AND : ~(=(B16_151_6, B16_151_6) & xsd_string(B16_151_6))
% 196.44/46.75 -> [3990] ~=(B16_151_6, B16_151_6)
% 196.44/46.75 -> [3991] ~xsd_string(B16_151_6)
% 196.44/46.75
% 196.44/46.75 [3990] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3991] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [4004] (cowlThing(X17_317_7) & ~cowlNothing(X17_317_7))
% 196.44/46.75
% 196.44/46.75 [4004] ALPHA_AND : (cowlThing(X17_317_7) & ~cowlNothing(X17_317_7))
% 196.44/46.75 -> [4005] cowlThing(X17_317_7), ~cowlNothing(X17_317_7)
% 196.44/46.75
% 196.44/46.75 [4005] CLOSURE : ~cowlNothing(X17_317_7)
% 196.44/46.75
% 196.44/46.75 [3989] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [4008] (cowlThing(X17_318_7) & ~cowlNothing(X17_318_7))
% 196.44/46.75
% 196.44/46.75 [4008] ALPHA_AND : (cowlThing(X17_318_7) & ~cowlNothing(X17_318_7))
% 196.44/46.75 -> [4009] cowlThing(X17_318_7), ~cowlNothing(X17_318_7)
% 196.44/46.75
% 196.44/46.75 [4009] CLOSURE : ~cowlNothing(X17_318_7)
% 196.44/46.75
% 196.44/46.75 [3956] BETA_NOT_AND : ~(=(B10_42_3, B10_42_3) & cowlNothing(B10_42_3))
% 196.44/46.75 -> [3958] ~=(B10_42_3, B10_42_3)
% 196.44/46.75 -> [3959] ~cowlNothing(B10_42_3)
% 196.44/46.75
% 196.44/46.75 [3958] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3959] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.75 -> [3963] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75
% 196.44/46.75 [3963] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75 -> [3966] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [3967] cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [3966] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [3970] ~=(ib, ib)
% 196.44/46.75 -> [3971] ~cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [3970] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3971] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3967] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.75 -> [3977] ((=(B14_79_5, B14_79_5) & xsd_integer(B14_79_5)) => xsd_integer(B14_79_5))
% 196.44/46.75
% 196.44/46.75 [3977] BETA_IMPLY : ((=(B14_79_5, B14_79_5) & xsd_integer(B14_79_5)) => xsd_integer(B14_79_5))
% 196.44/46.75 -> [3978] ~(=(B14_79_5, B14_79_5) & xsd_integer(B14_79_5))
% 196.44/46.75 -> [3979] xsd_integer(B14_79_5)
% 196.44/46.75
% 196.44/46.75 [3978] BETA_NOT_AND : ~(=(B14_79_5, B14_79_5) & xsd_integer(B14_79_5))
% 196.44/46.75 -> [3980] ~=(B14_79_5, B14_79_5)
% 196.44/46.75 -> [3981] ~xsd_integer(B14_79_5)
% 196.44/46.75
% 196.44/46.75 [3980] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3981] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [3994] ((=(A15_152_6, A15_152_6) & xsd_string(A15_152_6)) => xsd_string(A15_152_6))
% 196.44/46.75
% 196.44/46.75 [3994] BETA_IMPLY : ((=(A15_152_6, A15_152_6) & xsd_string(A15_152_6)) => xsd_string(A15_152_6))
% 196.44/46.75 -> [3995] ~(=(A15_152_6, A15_152_6) & xsd_string(A15_152_6))
% 196.44/46.75 -> [3996] xsd_string(A15_152_6)
% 196.44/46.75
% 196.44/46.75 [3996] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [4010] (cowlThing(X17_319_7) & ~cowlNothing(X17_319_7))
% 196.44/46.75
% 196.44/46.75 [4010] ALPHA_AND : (cowlThing(X17_319_7) & ~cowlNothing(X17_319_7))
% 196.44/46.75 -> [4011] cowlThing(X17_319_7), ~cowlNothing(X17_319_7)
% 196.44/46.75
% 196.44/46.75 [4011] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [4018] (xsd_string(X18_144_8) <=> ~xsd_integer(X18_144_8))
% 196.44/46.75
% 196.44/46.75 [4018] BETA_EQUIV : (xsd_string(X18_144_8) <=> ~xsd_integer(X18_144_8))
% 196.44/46.75 -> [4020] ~xsd_string(X18_144_8), ~~xsd_integer(X18_144_8)
% 196.44/46.75 -> [4021] xsd_string(X18_144_8), ~xsd_integer(X18_144_8)
% 196.44/46.75
% 196.44/46.75 [4020] ALPHA_NOT_NOT : ~~xsd_integer(X18_144_8)
% 196.44/46.75 -> [4026] xsd_integer(X18_144_8)
% 196.44/46.75
% 196.44/46.75 [4026] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4021] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.75 -> [4036] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.75
% 196.44/46.75 [4036] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.75 -> [4037] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.75 -> [4038] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.75
% 196.44/46.75 [4037] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4038] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3995] BETA_NOT_AND : ~(=(A15_152_6, A15_152_6) & xsd_string(A15_152_6))
% 196.44/46.75 -> [3997] ~=(A15_152_6, A15_152_6)
% 196.44/46.75 -> [3998] ~xsd_string(A15_152_6)
% 196.44/46.75
% 196.44/46.75 [3997] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4019] BETA_EQUIV : (xsd_string(X18_145_8) <=> ~xsd_integer(X18_145_8))
% 196.44/46.75 -> [4048] ~xsd_string(X18_145_8), ~~xsd_integer(X18_145_8)
% 196.44/46.75 -> [4049] xsd_string(X18_145_8), ~xsd_integer(X18_145_8)
% 196.44/46.75
% 196.44/46.75 [4049] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4053] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [3979] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [4001] ((=(A15_153_6, A15_153_6) & xsd_string(A15_153_6)) => xsd_string(A15_153_6))
% 196.44/46.75
% 196.44/46.75 [4001] BETA_IMPLY : ((=(A15_153_6, A15_153_6) & xsd_string(A15_153_6)) => xsd_string(A15_153_6))
% 196.44/46.75 -> [4002] ~(=(A15_153_6, A15_153_6) & xsd_string(A15_153_6))
% 196.44/46.75 -> [4003] xsd_string(A15_153_6)
% 196.44/46.75
% 196.44/46.75 [4002] BETA_NOT_AND : ~(=(A15_153_6, A15_153_6) & xsd_string(A15_153_6))
% 196.44/46.75 -> [4006] ~=(A15_153_6, A15_153_6)
% 196.44/46.75 -> [4007] ~xsd_string(A15_153_6)
% 196.44/46.75
% 196.44/46.75 [4006] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4007] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [4015] (cowlThing(X17_322_7) & ~cowlNothing(X17_322_7))
% 196.44/46.75
% 196.44/46.75 [4015] ALPHA_AND : (cowlThing(X17_322_7) & ~cowlNothing(X17_322_7))
% 196.44/46.75 -> [4017] cowlThing(X17_322_7), ~cowlNothing(X17_322_7)
% 196.44/46.75
% 196.44/46.75 [4017] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [4030] (xsd_string(X18_147_8) <=> ~xsd_integer(X18_147_8))
% 196.44/46.75
% 196.44/46.75 [4030] BETA_EQUIV : (xsd_string(X18_147_8) <=> ~xsd_integer(X18_147_8))
% 196.44/46.75 -> [4031] ~xsd_string(X18_147_8), ~~xsd_integer(X18_147_8)
% 196.44/46.75 -> [4032] xsd_string(X18_147_8), ~xsd_integer(X18_147_8)
% 196.44/46.75
% 196.44/46.75 [4032] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4031] ALPHA_NOT_NOT : ~~xsd_integer(X18_147_8)
% 196.44/46.75 -> [4040] xsd_integer(X18_147_8)
% 196.44/46.75
% 196.44/46.75 [4040] GAMMA_FORALL : ! [X19_19] : ((cA(X19_19) <=> =(X19_19, ia)))
% 196.44/46.75 -> [4045] (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.75
% 196.44/46.75 [4045] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.75 -> [4046] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.75 -> [4047] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.75
% 196.44/46.75 [4046] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4047] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4027] BETA_EQUIV : (xsd_string(X18_146_8) <=> ~xsd_integer(X18_146_8))
% 196.44/46.75 -> [4054] ~xsd_string(X18_146_8), ~~xsd_integer(X18_146_8)
% 196.44/46.75 -> [4055] xsd_string(X18_146_8), ~xsd_integer(X18_146_8)
% 196.44/46.75
% 196.44/46.75 [4054] ALPHA_NOT_NOT : ~~xsd_integer(X18_146_8)
% 196.44/46.75 -> [4056] xsd_integer(X18_146_8)
% 196.44/46.75
% 196.44/46.75 [4056] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [4055] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [25] GAMMA_FORALL : ! [A3_3, B4_4] : (((=(A3_3, B4_4) & cA(A3_3)) => cA(B4_4)))
% 196.44/46.75 -> [332] ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [332] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cA(skolem_X2424)) => cA(skolem_X2424))
% 196.44/46.75 -> [333] ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.75 -> [334] cA(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [334] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [333] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cA(skolem_X2424))
% 196.44/46.75 -> [8247] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [8248] ~cA(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [8247] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [8249] BETA_IMPLY : ((=(skolem_X2424, ib) & cA_and_B(skolem_X2424)) => cA_and_B(ib))
% 196.44/46.75 -> [12967] ~(=(skolem_X2424, ib) & cA_and_B(skolem_X2424))
% 196.44/46.75 -> [12968] cA_and_B(ib)
% 196.44/46.75
% 196.44/46.75 [12967] BETA_NOT_AND : ~(=(ib, ib) & cA_and_B(ib))
% 196.44/46.75 -> [12969] ~=(ib, ib)
% 196.44/46.75 -> [12970] ~cA_and_B(ib)
% 196.44/46.75
% 196.44/46.75 [12969] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [12970] Rewrite : ~cA_and_B(ib)
% 196.44/46.75 -> [12974] ~(cA(ib) | cB(ib))
% 196.44/46.75
% 196.44/46.75 [12974] ALPHA_NOT_OR : ~(cA(ib) | cB(ib))
% 196.44/46.75 -> [12975] ~cA(ib), ~cB(ib)
% 196.44/46.75
% 196.44/46.75 [12975] GAMMA_FORALL : ! [A7_7, B8_8] : (((=(A7_7, B8_8) & cB(A7_7)) => cB(B8_8)))
% 196.44/46.75 -> [12976] ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [12976] BETA_IMPLY : ((=(skolem_X2424, skolem_X2424) & cB(skolem_X2424)) => cB(skolem_X2424))
% 196.44/46.75 -> [12977] ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.75 -> [12978] cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [12978] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [12977] BETA_NOT_AND : ~(=(skolem_X2424, skolem_X2424) & cB(skolem_X2424))
% 196.44/46.75 -> [13256] ~=(skolem_X2424, skolem_X2424)
% 196.44/46.75 -> [13257] ~cB(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [13256] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13257] GAMMA_FORALL : ! [A9_9, B10_10] : (((=(A9_9, B10_10) & cowlNothing(A9_9)) => cowlNothing(B10_10)))
% 196.44/46.75 -> [13258] ((=(B10_59_3, B10_59_3) & cowlNothing(B10_59_3)) => cowlNothing(B10_59_3))
% 196.44/46.75
% 196.44/46.75 [13258] BETA_IMPLY : ((=(B10_59_3, B10_59_3) & cowlNothing(B10_59_3)) => cowlNothing(B10_59_3))
% 196.44/46.75 -> [13259] ~(=(B10_59_3, B10_59_3) & cowlNothing(B10_59_3))
% 196.44/46.75 -> [13260] cowlNothing(B10_59_3)
% 196.44/46.75
% 196.44/46.75 [13260] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.75 -> [13263] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75
% 196.44/46.75 [13263] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75 -> [13264] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [13265] cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [13264] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [13267] ~=(ib, ib)
% 196.44/46.75 -> [13268] ~cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [13267] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13268] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13265] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.75 -> [13273] ((=(B14_143_5, B14_143_5) & xsd_integer(B14_143_5)) => xsd_integer(B14_143_5))
% 196.44/46.75
% 196.44/46.75 [13273] BETA_IMPLY : ((=(B14_143_5, B14_143_5) & xsd_integer(B14_143_5)) => xsd_integer(B14_143_5))
% 196.44/46.75 -> [13274] ~(=(B14_143_5, B14_143_5) & xsd_integer(B14_143_5))
% 196.44/46.75 -> [13275] xsd_integer(B14_143_5)
% 196.44/46.75
% 196.44/46.75 [13275] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [13283] ((=(B16_370_6, B16_370_6) & xsd_string(B16_370_6)) => xsd_string(B16_370_6))
% 196.44/46.75
% 196.44/46.75 [13283] BETA_IMPLY : ((=(B16_370_6, B16_370_6) & xsd_string(B16_370_6)) => xsd_string(B16_370_6))
% 196.44/46.75 -> [13284] ~(=(B16_370_6, B16_370_6) & xsd_string(B16_370_6))
% 196.44/46.75 -> [13285] xsd_string(B16_370_6)
% 196.44/46.75
% 196.44/46.75 [13285] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [13303] (cowlThing(X17_1006_7) & ~cowlNothing(X17_1006_7))
% 196.44/46.75
% 196.44/46.75 [13303] ALPHA_AND : (cowlThing(X17_1006_7) & ~cowlNothing(X17_1006_7))
% 196.44/46.75 -> [13304] cowlThing(X17_1006_7), ~cowlNothing(X17_1006_7)
% 196.44/46.75
% 196.44/46.75 [13304] CLOSURE : ~cowlNothing(X17_1006_7)
% 196.44/46.75
% 196.44/46.75 [13284] BETA_NOT_AND : ~(=(B16_370_6, B16_370_6) & xsd_string(B16_370_6))
% 196.44/46.75 -> [13286] ~=(B16_370_6, B16_370_6)
% 196.44/46.75 -> [13287] ~xsd_string(B16_370_6)
% 196.44/46.75
% 196.44/46.75 [13286] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13287] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [13309] (cowlThing(X17_1009_7) & ~cowlNothing(X17_1009_7))
% 196.44/46.75
% 196.44/46.75 [13309] ALPHA_AND : (cowlThing(X17_1009_7) & ~cowlNothing(X17_1009_7))
% 196.44/46.75 -> [13310] cowlThing(X17_1009_7), ~cowlNothing(X17_1009_7)
% 196.44/46.75
% 196.44/46.75 [13310] CLOSURE : ~cowlNothing(X17_1009_7)
% 196.44/46.75
% 196.44/46.75 [13274] BETA_NOT_AND : ~(=(B14_143_5, B14_143_5) & xsd_integer(B14_143_5))
% 196.44/46.75 -> [13276] ~=(B14_143_5, B14_143_5)
% 196.44/46.75 -> [13277] ~xsd_integer(B14_143_5)
% 196.44/46.75
% 196.44/46.75 [13276] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13277] GAMMA_FORALL : ! [A15_15, B16_16] : (((=(A15_15, B16_16) & xsd_string(A15_15)) => xsd_string(B16_16)))
% 196.44/46.75 -> [13288] ((=(B16_371_6, B16_371_6) & xsd_string(B16_371_6)) => xsd_string(B16_371_6))
% 196.44/46.75
% 196.44/46.75 [13288] BETA_IMPLY : ((=(B16_371_6, B16_371_6) & xsd_string(B16_371_6)) => xsd_string(B16_371_6))
% 196.44/46.75 -> [13289] ~(=(B16_371_6, B16_371_6) & xsd_string(B16_371_6))
% 196.44/46.75 -> [13290] xsd_string(B16_371_6)
% 196.44/46.75
% 196.44/46.75 [13290] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [13305] (cowlThing(X17_1007_7) & ~cowlNothing(X17_1007_7))
% 196.44/46.75
% 196.44/46.75 [13305] ALPHA_AND : (cowlThing(X17_1007_7) & ~cowlNothing(X17_1007_7))
% 196.44/46.75 -> [13306] cowlThing(X17_1007_7), ~cowlNothing(X17_1007_7)
% 196.44/46.75
% 196.44/46.75 [13306] CLOSURE : ~cowlNothing(X17_1007_7)
% 196.44/46.75
% 196.44/46.75 [13289] BETA_NOT_AND : ~(=(B16_371_6, B16_371_6) & xsd_string(B16_371_6))
% 196.44/46.75 -> [13294] ~=(B16_371_6, B16_371_6)
% 196.44/46.75 -> [13295] ~xsd_string(B16_371_6)
% 196.44/46.75
% 196.44/46.75 [13294] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13295] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [13307] (cowlThing(X17_1008_7) & ~cowlNothing(X17_1008_7))
% 196.44/46.75
% 196.44/46.75 [13307] ALPHA_AND : (cowlThing(X17_1008_7) & ~cowlNothing(X17_1008_7))
% 196.44/46.75 -> [13308] cowlThing(X17_1008_7), ~cowlNothing(X17_1008_7)
% 196.44/46.75
% 196.44/46.75 [13308] CLOSURE : ~cowlNothing(X17_1008_7)
% 196.44/46.75
% 196.44/46.75 [13259] BETA_NOT_AND : ~(=(B10_59_3, B10_59_3) & cowlNothing(B10_59_3))
% 196.44/46.75 -> [13261] ~=(B10_59_3, B10_59_3)
% 196.44/46.75 -> [13262] ~cowlNothing(B10_59_3)
% 196.44/46.75
% 196.44/46.75 [13261] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13262] GAMMA_FORALL : ! [A11_11, B12_12] : (((=(A11_11, B12_12) & cowlThing(A11_11)) => cowlThing(B12_12)))
% 196.44/46.75 -> [13266] ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75
% 196.44/46.75 [13266] BETA_IMPLY : ((=(ib, ib) & cowlThing(ib)) => cowlThing(ib))
% 196.44/46.75 -> [13269] ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [13270] cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [13269] BETA_NOT_AND : ~(=(ib, ib) & cowlThing(ib))
% 196.44/46.75 -> [13271] ~=(ib, ib)
% 196.44/46.75 -> [13272] ~cowlThing(ib)
% 196.44/46.75
% 196.44/46.75 [13271] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13272] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13270] GAMMA_FORALL : ! [A13_13, B14_14] : (((=(A13_13, B14_14) & xsd_integer(A13_13)) => xsd_integer(B14_14)))
% 196.44/46.75 -> [13278] ((=(skolem_X2424, ib) & xsd_integer(skolem_X2424)) => xsd_integer(ib))
% 196.44/46.75
% 196.44/46.75 [13278] BETA_IMPLY : ((=(skolem_X2424, ib) & xsd_integer(skolem_X2424)) => xsd_integer(ib))
% 196.44/46.75 -> [13279] ~(=(skolem_X2424, ib) & xsd_integer(skolem_X2424))
% 196.44/46.75 -> [13280] xsd_integer(ib)
% 196.44/46.75
% 196.44/46.75 [13279] BETA_NOT_AND : ~(=(skolem_X2424, ib) & xsd_integer(skolem_X2424))
% 196.44/46.75 -> [13281] ~=(skolem_X2424, ib)
% 196.44/46.75 -> [13282] ~xsd_integer(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [13281] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13298] BETA_IMPLY : ((=(skolem_X2424, ib) & xsd_string(skolem_X2424)) => xsd_string(ib))
% 196.44/46.75 -> [13368] ~(=(skolem_X2424, ib) & xsd_string(skolem_X2424))
% 196.44/46.75 -> [13369] xsd_string(ib)
% 196.44/46.75
% 196.44/46.75 [13368] BETA_NOT_AND : ~(=(skolem_X2424, ib) & xsd_string(skolem_X2424))
% 196.44/46.75 -> [13370] ~=(skolem_X2424, ib)
% 196.44/46.75 -> [13371] ~xsd_string(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [13370] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13379] BETA_EQUIV : (xsd_string(skolem_X2424) <=> ~xsd_integer(skolem_X2424))
% 196.44/46.75 -> [13387] ~xsd_string(skolem_X2424), ~~xsd_integer(skolem_X2424)
% 196.44/46.75 -> [13388] xsd_string(skolem_X2424), ~xsd_integer(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [13388] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13387] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2424)
% 196.44/46.75 -> [13389] xsd_integer(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [13389] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13369] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [13372] (cowlThing(X17_1015_7) & ~cowlNothing(X17_1015_7))
% 196.44/46.75
% 196.44/46.75 [13372] ALPHA_AND : (cowlThing(X17_1015_7) & ~cowlNothing(X17_1015_7))
% 196.44/46.75 -> [13373] cowlThing(X17_1015_7), ~cowlNothing(X17_1015_7)
% 196.44/46.75
% 196.44/46.75 [13373] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [13376] (xsd_string(skolem_X2424) <=> ~xsd_integer(skolem_X2424))
% 196.44/46.75
% 196.44/46.75 [13376] BETA_EQUIV : (xsd_string(skolem_X2424) <=> ~xsd_integer(skolem_X2424))
% 196.44/46.75 -> [13377] ~xsd_string(skolem_X2424), ~~xsd_integer(skolem_X2424)
% 196.44/46.75 -> [13378] xsd_string(skolem_X2424), ~xsd_integer(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [13377] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2424)
% 196.44/46.75 -> [13382] xsd_integer(skolem_X2424)
% 196.44/46.75
% 196.44/46.75 [13382] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13384] BETA_EQUIV : (cA(skolem_X2424) <=> =(skolem_X2424, ia))
% 196.44/46.75 -> [13390] ~cA(skolem_X2424), ~=(skolem_X2424, ia)
% 196.44/46.75 -> [13391] cA(skolem_X2424), =(skolem_X2424, ia)
% 196.44/46.75
% 196.44/46.75 [13391] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13390] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.75 -> [13392] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75
% 196.44/46.75 [13392] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75 -> [13393] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.75 -> [13394] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [13393] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13394] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13291] BETA_IMPLY : ((=(ib, ib) & xsd_string(ib)) => xsd_string(ib))
% 196.44/46.75 -> [13395] ~(=(ib, ib) & xsd_string(ib))
% 196.44/46.75 -> [13396] xsd_string(ib)
% 196.44/46.75
% 196.44/46.75 [13395] BETA_NOT_AND : ~(=(ib, ib) & xsd_string(ib))
% 196.44/46.75 -> [13397] ~=(ib, ib)
% 196.44/46.75 -> [13398] ~xsd_string(ib)
% 196.44/46.75
% 196.44/46.75 [13397] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13398] GAMMA_FORALL : ! [X17_17] : ((cowlThing(X17_17) & ~cowlNothing(X17_17)))
% 196.44/46.75 -> [13401] (cowlThing(X17_1018_7) & ~cowlNothing(X17_1018_7))
% 196.44/46.75
% 196.44/46.75 [13401] ALPHA_AND : (cowlThing(X17_1018_7) & ~cowlNothing(X17_1018_7))
% 196.44/46.75 -> [13402] cowlThing(X17_1018_7), ~cowlNothing(X17_1018_7)
% 196.44/46.75
% 196.44/46.75 [13402] GAMMA_FORALL : ! [X18_18] : ((xsd_string(X18_18) <=> ~xsd_integer(X18_18)))
% 196.44/46.75 -> [13406] (xsd_string(ib) <=> ~xsd_integer(ib))
% 196.44/46.75
% 196.44/46.75 [13406] BETA_EQUIV : (xsd_string(ib) <=> ~xsd_integer(ib))
% 196.44/46.75 -> [13407] ~xsd_string(ib), ~~xsd_integer(ib)
% 196.44/46.75 -> [13408] xsd_string(ib), ~xsd_integer(ib)
% 196.44/46.75
% 196.44/46.75 [13408] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13411] BETA_EQUIV : (cA(ib) <=> =(ib, ia))
% 196.44/46.75 -> [13417] ~cA(ib), ~=(ib, ia)
% 196.44/46.75 -> [13418] cA(ib), =(ib, ia)
% 196.44/46.75
% 196.44/46.75 [13418] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13417] GAMMA_FORALL : ! [X21_21] : ((cB(X21_21) <=> =(X21_21, ib)))
% 196.44/46.75 -> [13419] (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75
% 196.44/46.75 [13419] BETA_EQUIV : (cB(skolem_X2424) <=> =(skolem_X2424, ib))
% 196.44/46.75 -> [13420] ~cB(skolem_X2424), ~=(skolem_X2424, ib)
% 196.44/46.75 -> [13421] cB(skolem_X2424), =(skolem_X2424, ib)
% 196.44/46.75
% 196.44/46.75 [13420] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13421] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13403] BETA_EQUIV : (xsd_string(ib) <=> ~xsd_integer(ib))
% 196.44/46.75 -> [13422] ~xsd_string(ib), ~~xsd_integer(ib)
% 196.44/46.75 -> [13423] xsd_string(ib), ~xsd_integer(ib)
% 196.44/46.75
% 196.44/46.75 [13422] ALPHA_NOT_NOT : ~~xsd_integer(ib)
% 196.44/46.75 -> [13424] xsd_integer(ib)
% 196.44/46.75
% 196.44/46.75 [13424] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13423] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [12968] BETA_OR : (cA(ib) | cB(ib))
% 196.44/46.75 -> [13425] cA(ib)
% 196.44/46.75 -> [13426] cB(ib)
% 196.44/46.75
% 196.44/46.75 [13426] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 [13425] CLOSURE : =
% 196.44/46.75
% 196.44/46.75 % SZS output end Proof for theBenchmark.p
% 196.44/46.75 [46.405720s][1][Res] 624889 goroutines created
% 196.44/46.75 ==== Result ====
% 196.44/46.75 [46.405786s][1][Res] VALID
% 196.44/46.75 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------