TSTP Solution File: KRS124+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n007.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 17:33:16 EDT 2022
% Result : Unsatisfiable 11.47s 1.88s
% Output : Proof 11.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Sep 1 09:21:32 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Conjecture not found
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 19
% 0.12/0.33 Launch Gotab with destructive = true
% 11.47/1.88 % SZS output start Proof for theBenchmark.p
% 11.47/1.88 [0] ALPHA_AND : (! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))) & ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))) & ! [X8_8] : ((cc(X8_8) => cdxcomp(X8_8))) & ! [X9_9] : ((cc1(X9_9) => cd1(X9_9))) & ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10))) & ! [X19_19] : ((ce3(X19_19) => cc(X19_19))) & ! [X20_20] : ((cf(X20_20) => cd(X20_20))) & cUnsatisfiable(i2003_11_14_17_22_10903))
% 11.47/1.88 -> [1] ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))), ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))), ! [X8_8] : ((cc(X8_8) => cdxcomp(X8_8))), ! [X9_9] : ((cc1(X9_9) => cd1(X9_9))), ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10))), ! [X19_19] : ((ce3(X19_19) => cc(X19_19))), ! [X20_20] : ((cf(X20_20) => cd(X20_20))), cUnsatisfiable(i2003_11_14_17_22_10903)
% 11.47/1.88
% 11.47/1.88 [1] Rewrite : cUnsatisfiable(i2003_11_14_17_22_10903)
% 11.47/1.88 -> [2] (? [Y6_6] : ((rr(i2003_11_14_17_22_10903, Y6_6) & cowlThing(Y6_6))) & ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7))))
% 11.47/1.88
% 11.47/1.88 [2] ALPHA_AND : (? [Y6_6] : ((rr(i2003_11_14_17_22_10903, Y6_6) & cowlThing(Y6_6))) & ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7))))
% 11.47/1.88 -> [3] ? [Y6_6] : ((rr(i2003_11_14_17_22_10903, Y6_6) & cowlThing(Y6_6))), ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88
% 11.47/1.88 [3] DELTA_EXISTS : ? [Y6_6] : ((rr(i2003_11_14_17_22_10903, Y6_6) & cowlThing(Y6_6)))
% 11.47/1.88 -> [4] (rr(i2003_11_14_17_22_10903, skolem_Y66) & cowlThing(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [4] ALPHA_AND : (rr(i2003_11_14_17_22_10903, skolem_Y66) & cowlThing(skolem_Y66))
% 11.47/1.88 -> [5] rr(i2003_11_14_17_22_10903, skolem_Y66), cowlThing(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [5] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 11.47/1.88 -> [6] (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 11.47/1.88
% 11.47/1.88 [6] ALPHA_AND : (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 11.47/1.88 -> [7] cowlThing(X3_0_0), ~cowlNothing(X3_0_0)
% 11.47/1.88
% 11.47/1.88 [7] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 11.47/1.88 -> [8] (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 11.47/1.88
% 11.47/1.88 [8] BETA_EQUIV : (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 11.47/1.88 -> [9] ~xsd_string(X4_0_1), ~~xsd_integer(X4_0_1)
% 11.47/1.88 -> [10] xsd_string(X4_0_1), ~xsd_integer(X4_0_1)
% 11.47/1.88
% 11.47/1.88 [10] GAMMA_FORALL : ! [X8_8] : ((cc(X8_8) => cdxcomp(X8_8)))
% 11.47/1.88 -> [12] (cc(skolem_Y66) => cdxcomp(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [12] BETA_IMPLY : (cc(skolem_Y66) => cdxcomp(skolem_Y66))
% 11.47/1.88 -> [13] ~cc(skolem_Y66)
% 11.47/1.88 -> [14] cdxcomp(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [13] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => cd1(X9_9)))
% 11.47/1.88 -> [19] (cc1(X9_0_3) => cd1(X9_0_3))
% 11.47/1.88
% 11.47/1.88 [19] BETA_IMPLY : (cc1(X9_0_3) => cd1(X9_0_3))
% 11.47/1.88 -> [20] ~cc1(X9_0_3)
% 11.47/1.88 -> [21] cd1(X9_0_3)
% 11.47/1.88
% 11.47/1.88 [21] Rewrite : cd1(X9_0_3)
% 11.47/1.88 -> [26] ra_Px2(X9_0_3, skolem_Y01616(X9_0_3))
% 11.47/1.88
% 11.47/1.88 [26] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [42] (cc1(X10_2_4) => cd1xcomp(X10_2_4))
% 11.47/1.88
% 11.47/1.88 [42] BETA_IMPLY : (cc1(X10_2_4) => cd1xcomp(X10_2_4))
% 11.47/1.88 -> [45] ~cc1(X10_2_4)
% 11.47/1.88 -> [46] cd1xcomp(X10_2_4)
% 11.47/1.88
% 11.47/1.88 [45] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [65] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [65] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [68] ~ce3(skolem_Y66)
% 11.47/1.88 -> [69] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [68] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [95] (cf(X20_2_6) => cd(X20_2_6))
% 11.47/1.88
% 11.47/1.88 [95] BETA_IMPLY : (cf(X20_2_6) => cd(X20_2_6))
% 11.47/1.88 -> [96] ~cf(X20_2_6)
% 11.47/1.88 -> [97] cd(X20_2_6)
% 11.47/1.88
% 11.47/1.88 [96] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [128] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [128] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [129] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [130] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [129] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [130] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [209] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [209] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [97] Rewrite : cd(X20_2_6)
% 11.47/1.88 -> [169] ~? [Y12_12] : (ra_Px1(X20_2_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [169] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [170] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [170] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [171] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [172] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [171] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [172] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [444] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [444] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [69] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [46] Rewrite : cd1xcomp(X10_2_4)
% 11.47/1.88 -> [80] ~? [Y18_18] : (ra_Px2(X10_2_4, Y18_18))
% 11.47/1.88
% 11.47/1.88 [80] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [85] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [85] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [87] ~ce3(skolem_Y66)
% 11.47/1.88 -> [88] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [88] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [110] BETA_IMPLY : (cf(X20_3_6) => cd(X20_3_6))
% 11.47/1.88 -> [638] ~cf(X20_3_6)
% 11.47/1.88 -> [639] cd(X20_3_6)
% 11.47/1.88
% 11.47/1.88 [639] Rewrite : cd(X20_3_6)
% 11.47/1.88 -> [648] ~? [Y12_12] : (ra_Px1(X20_3_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [648] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [650] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [650] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [651] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [652] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [651] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [652] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [707] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [707] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [638] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [654] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [654] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [655] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [656] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [655] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [656] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [740] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [740] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [20] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [30] (cc1(X10_0_4) => cd1xcomp(X10_0_4))
% 11.47/1.88
% 11.47/1.88 [30] BETA_IMPLY : (cc1(X10_0_4) => cd1xcomp(X10_0_4))
% 11.47/1.88 -> [31] ~cc1(X10_0_4)
% 11.47/1.88 -> [32] cd1xcomp(X10_0_4)
% 11.47/1.88
% 11.47/1.88 [31] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [51] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [51] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [52] ~ce3(skolem_Y66)
% 11.47/1.88 -> [53] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [53] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [61] BETA_IMPLY : (cf(X20_0_6) => cd(X20_0_6))
% 11.47/1.88 -> [701] ~cf(X20_0_6)
% 11.47/1.88 -> [702] cd(X20_0_6)
% 11.47/1.88
% 11.47/1.88 [702] Rewrite : cd(X20_0_6)
% 11.47/1.88 -> [715] ~? [Y12_12] : (ra_Px1(X20_0_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [715] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [716] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [716] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [717] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [718] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [717] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [718] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [778] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [778] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [701] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [730] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [730] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [731] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [732] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [731] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [732] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [775] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [775] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [32] Rewrite : cd1xcomp(X10_0_4)
% 11.47/1.88 -> [41] ~? [Y18_18] : (ra_Px2(X10_0_4, Y18_18))
% 11.47/1.88
% 11.47/1.88 [41] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [44] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [44] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [49] ~ce3(skolem_Y66)
% 11.47/1.88 -> [50] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [50] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [157] BETA_IMPLY : (cf(X20_9_6) => cd(X20_9_6))
% 11.47/1.88 -> [705] ~cf(X20_9_6)
% 11.47/1.88 -> [706] cd(X20_9_6)
% 11.47/1.88
% 11.47/1.88 [705] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [736] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [736] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [737] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [738] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [737] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [738] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [773] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [773] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [706] Rewrite : cd(X20_9_6)
% 11.47/1.88 -> [721] ~? [Y12_12] : (ra_Px1(X20_9_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [721] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [722] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [722] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [723] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [724] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [723] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [724] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [784] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [784] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [14] Rewrite : cdxcomp(skolem_Y66)
% 11.47/1.88 -> [18] ra_Px1(skolem_Y66, skolem_Y01414(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [18] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => cd1(X9_9)))
% 11.47/1.88 -> [27] (cc1(X9_2_3) => cd1(X9_2_3))
% 11.47/1.88
% 11.47/1.88 [27] BETA_IMPLY : (cc1(X9_2_3) => cd1(X9_2_3))
% 11.47/1.88 -> [28] ~cc1(X9_2_3)
% 11.47/1.88 -> [29] cd1(X9_2_3)
% 11.47/1.88
% 11.47/1.88 [28] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [43] (cc1(X10_3_4) => cd1xcomp(X10_3_4))
% 11.47/1.88
% 11.47/1.88 [43] BETA_IMPLY : (cc1(X10_3_4) => cd1xcomp(X10_3_4))
% 11.47/1.88 -> [47] ~cc1(X10_3_4)
% 11.47/1.88 -> [48] cd1xcomp(X10_3_4)
% 11.47/1.88
% 11.47/1.88 [47] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [64] (ce3(X19_2_5) => cc(X19_2_5))
% 11.47/1.88
% 11.47/1.88 [64] BETA_IMPLY : (ce3(X19_2_5) => cc(X19_2_5))
% 11.47/1.88 -> [66] ~ce3(X19_2_5)
% 11.47/1.88 -> [67] cc(X19_2_5)
% 11.47/1.88
% 11.47/1.88 [66] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [252] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [252] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [253] ~cf(skolem_Y66)
% 11.47/1.88 -> [254] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [253] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [288] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [288] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [289] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [290] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [289] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [290] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [565] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [565] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [572] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [572] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [580] ~ra_Px1(skolem_Y66, Y12_29_8)
% 11.47/1.88
% 11.47/1.88 [580] CLOSURE : ~ra_Px1(skolem_Y66, Y12_29_8)
% 11.47/1.88
% 11.47/1.88 [254] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [592] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [592] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [593] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [594] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [593] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [594] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [658] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [658] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [665] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [665] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [671] ~ra_Px1(skolem_Y66, Y12_42_8)
% 11.47/1.88
% 11.47/1.88 [671] CLOSURE : ~ra_Px1(skolem_Y66, Y12_42_8)
% 11.47/1.88
% 11.47/1.88 [67] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [184] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [184] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [185] ~cf(skolem_Y66)
% 11.47/1.88 -> [186] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [185] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [216] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [216] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [217] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [218] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [217] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [218] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [719] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [719] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [768] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [768] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [774] ~ra_Px1(skolem_Y66, Y12_57_8)
% 11.47/1.88
% 11.47/1.88 [774] CLOSURE : ~ra_Px1(skolem_Y66, Y12_57_8)
% 11.47/1.88
% 11.47/1.88 [186] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [793] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [793] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [794] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [795] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [794] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [795] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [828] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [828] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [832] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [832] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [838] ~ra_Px1(skolem_Y66, Y12_68_8)
% 11.47/1.88
% 11.47/1.88 [838] CLOSURE : ~ra_Px1(skolem_Y66, Y12_68_8)
% 11.47/1.88
% 11.47/1.88 [48] Rewrite : cd1xcomp(X10_3_4)
% 11.47/1.88 -> [70] ~? [Y18_18] : (ra_Px2(X10_3_4, Y18_18))
% 11.47/1.88
% 11.47/1.88 [70] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [71] (ce3(X19_4_5) => cc(X19_4_5))
% 11.47/1.88
% 11.47/1.88 [71] BETA_IMPLY : (ce3(X19_4_5) => cc(X19_4_5))
% 11.47/1.88 -> [72] ~ce3(X19_4_5)
% 11.47/1.88 -> [73] cc(X19_4_5)
% 11.47/1.88
% 11.47/1.88 [72] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [94] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [94] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [98] ~cf(skolem_Y66)
% 11.47/1.88 -> [99] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [98] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [187] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [187] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [188] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [189] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [188] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [189] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [538] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [538] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [545] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [545] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_3_4, Y18_18))
% 11.47/1.88 -> [549] ~ra_Px2(X10_3_4, Y18_15_8)
% 11.47/1.88
% 11.47/1.88 [549] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [557] ~ra_Px1(skolem_Y66, Y12_27_9)
% 11.47/1.88
% 11.47/1.88 [557] CLOSURE : ~ra_Px1(skolem_Y66, Y12_27_9)
% 11.47/1.88
% 11.47/1.88 [99] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [597] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [597] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [598] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [599] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [598] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [599] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [659] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [659] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [667] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [667] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_3_4, Y18_18))
% 11.47/1.88 -> [674] ~ra_Px2(X10_3_4, Y18_25_8)
% 11.47/1.88
% 11.47/1.88 [674] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [688] ~ra_Px1(skolem_Y66, Y12_46_9)
% 11.47/1.88
% 11.47/1.88 [688] CLOSURE : ~ra_Px1(skolem_Y66, Y12_46_9)
% 11.47/1.88
% 11.47/1.88 [73] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [190] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [190] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [191] ~cf(skolem_Y66)
% 11.47/1.88 -> [192] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [191] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [241] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [241] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [426] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [427] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [426] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [427] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [642] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [642] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [657] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [657] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_3_4, Y18_18))
% 11.47/1.88 -> [676] ~ra_Px2(X10_3_4, Y18_26_8)
% 11.47/1.88
% 11.47/1.88 [676] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [693] ~ra_Px1(skolem_Y66, Y12_47_9)
% 11.47/1.88
% 11.47/1.88 [693] CLOSURE : ~ra_Px1(skolem_Y66, Y12_47_9)
% 11.47/1.88
% 11.47/1.88 [192] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [807] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [807] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [808] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [809] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [808] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [809] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [858] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [858] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [871] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [871] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_3_4, Y18_18))
% 11.47/1.88 -> [875] ~ra_Px2(X10_3_4, Y18_39_8)
% 11.47/1.88
% 11.47/1.88 [875] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [891] ~ra_Px1(skolem_Y66, Y12_71_9)
% 11.47/1.88
% 11.47/1.88 [891] CLOSURE : ~ra_Px1(skolem_Y66, Y12_71_9)
% 11.47/1.88
% 11.47/1.88 [29] Rewrite : cd1(X9_2_3)
% 11.47/1.88 -> [40] ra_Px2(X9_2_3, skolem_Y01616(X9_2_3))
% 11.47/1.88
% 11.47/1.88 [40] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [58] (cc1(X10_5_4) => cd1xcomp(X10_5_4))
% 11.47/1.88
% 11.47/1.88 [58] BETA_IMPLY : (cc1(X10_5_4) => cd1xcomp(X10_5_4))
% 11.47/1.88 -> [59] ~cc1(X10_5_4)
% 11.47/1.88 -> [60] cd1xcomp(X10_5_4)
% 11.47/1.88
% 11.47/1.88 [59] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [125] (ce3(X19_12_5) => cc(X19_12_5))
% 11.47/1.88
% 11.47/1.88 [125] BETA_IMPLY : (ce3(X19_12_5) => cc(X19_12_5))
% 11.47/1.88 -> [126] ~ce3(X19_12_5)
% 11.47/1.88 -> [127] cc(X19_12_5)
% 11.47/1.88
% 11.47/1.88 [127] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [162] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [162] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [163] ~cf(skolem_Y66)
% 11.47/1.88 -> [164] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [163] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [193] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [193] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [194] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [195] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [194] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [195] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [299] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [299] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [318] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [318] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [332] ~ra_Px1(skolem_Y66, Y12_2_8)
% 11.47/1.88
% 11.47/1.88 [332] CLOSURE : ~ra_Px1(skolem_Y66, Y12_2_8)
% 11.47/1.88
% 11.47/1.88 [164] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [615] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [615] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [616] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [617] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [616] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [617] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [714] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [714] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [733] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [733] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [757] ~ra_Px1(skolem_Y66, Y12_55_8)
% 11.47/1.88
% 11.47/1.88 [757] CLOSURE : ~ra_Px1(skolem_Y66, Y12_55_8)
% 11.47/1.88
% 11.47/1.88 [126] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [374] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [374] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [375] ~cf(skolem_Y66)
% 11.47/1.88 -> [376] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [376] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [422] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [422] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [423] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [423] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [424] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [425] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [424] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [425] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [653] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [653] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [666] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [666] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [680] ~ra_Px1(skolem_Y66, Y12_44_8)
% 11.47/1.88
% 11.47/1.88 [680] CLOSURE : ~ra_Px1(skolem_Y66, Y12_44_8)
% 11.47/1.88
% 11.47/1.88 [456] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [752] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [753] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [752] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [753] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [812] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [812] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [818] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [818] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [823] ~ra_Px1(skolem_Y66, Y12_64_8)
% 11.47/1.88
% 11.47/1.88 [823] CLOSURE : ~ra_Px1(skolem_Y66, Y12_64_8)
% 11.47/1.88
% 11.47/1.88 [60] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [833] (ce3(X19_16_5) => cc(X19_16_5))
% 11.47/1.88
% 11.47/1.88 [833] BETA_IMPLY : (ce3(X19_16_5) => cc(X19_16_5))
% 11.47/1.88 -> [834] ~ce3(X19_16_5)
% 11.47/1.88 -> [835] cc(X19_16_5)
% 11.47/1.88
% 11.47/1.88 [834] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [839] (cf(X20_24_6) => cd(X20_24_6))
% 11.47/1.88
% 11.47/1.88 [839] BETA_IMPLY : (cf(X20_24_6) => cd(X20_24_6))
% 11.47/1.88 -> [840] ~cf(X20_24_6)
% 11.47/1.88 -> [841] cd(X20_24_6)
% 11.47/1.88
% 11.47/1.88 [841] Rewrite : cd(X20_24_6)
% 11.47/1.88 -> [846] ~? [Y12_12] : (ra_Px1(X20_24_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [846] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [849] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [849] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [851] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [852] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [851] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [852] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [903] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [903] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [917] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [917] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_5_4, Y18_18))
% 11.47/1.88 -> [922] ~ra_Px2(X10_5_4, Y18_45_8)
% 11.47/1.88
% 11.47/1.88 [922] CLOSURE : ~ra_Px2(X10_5_4, Y18_45_8)
% 11.47/1.88
% 11.47/1.88 [840] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [855] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [855] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [856] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [857] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [856] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [857] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [910] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [910] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [924] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [924] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_5_4, Y18_18))
% 11.47/1.88 -> [929] ~ra_Px2(X10_5_4, Y18_48_8)
% 11.47/1.88
% 11.47/1.88 [929] CLOSURE : ~ra_Px2(X10_5_4, Y18_48_8)
% 11.47/1.88
% 11.47/1.88 [835] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [842] (cf(X20_25_6) => cd(X20_25_6))
% 11.47/1.88
% 11.47/1.88 [842] BETA_IMPLY : (cf(X20_25_6) => cd(X20_25_6))
% 11.47/1.88 -> [843] ~cf(X20_25_6)
% 11.47/1.88 -> [844] cd(X20_25_6)
% 11.47/1.88
% 11.47/1.88 [844] Rewrite : cd(X20_25_6)
% 11.47/1.88 -> [848] ~? [Y12_12] : (ra_Px1(X20_25_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [848] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [850] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [850] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [853] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [854] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [853] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [854] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [902] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [902] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [915] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [915] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_5_4, Y18_18))
% 11.47/1.88 -> [921] ~ra_Px2(X10_5_4, Y18_44_8)
% 11.47/1.88
% 11.47/1.88 [921] CLOSURE : ~ra_Px2(X10_5_4, Y18_44_8)
% 11.47/1.88
% 11.47/1.88 [843] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [859] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [859] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [860] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [861] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [860] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [861] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [908] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [908] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [919] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [919] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_5_4, Y18_18))
% 11.47/1.88 -> [930] ~ra_Px2(X10_5_4, Y18_49_8)
% 11.47/1.88
% 11.47/1.88 [930] CLOSURE : ~ra_Px2(X10_5_4, Y18_49_8)
% 11.47/1.88
% 11.47/1.88 [9] ALPHA_NOT_NOT : ~~xsd_integer(X4_0_1)
% 11.47/1.88 -> [11] xsd_integer(X4_0_1)
% 11.47/1.88
% 11.47/1.88 [11] GAMMA_FORALL : ! [X8_8] : ((cc(X8_8) => cdxcomp(X8_8)))
% 11.47/1.88 -> [15] (cc(skolem_Y66) => cdxcomp(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [15] BETA_IMPLY : (cc(skolem_Y66) => cdxcomp(skolem_Y66))
% 11.47/1.88 -> [16] ~cc(skolem_Y66)
% 11.47/1.88 -> [17] cdxcomp(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [16] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => cd1(X9_9)))
% 11.47/1.88 -> [23] (cc1(X9_1_3) => cd1(X9_1_3))
% 11.47/1.88
% 11.47/1.88 [23] BETA_IMPLY : (cc1(X9_1_3) => cd1(X9_1_3))
% 11.47/1.88 -> [24] ~cc1(X9_1_3)
% 11.47/1.88 -> [25] cd1(X9_1_3)
% 11.47/1.88
% 11.47/1.88 [24] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [37] (cc1(X10_1_4) => cd1xcomp(X10_1_4))
% 11.47/1.88
% 11.47/1.88 [37] BETA_IMPLY : (cc1(X10_1_4) => cd1xcomp(X10_1_4))
% 11.47/1.88 -> [38] ~cc1(X10_1_4)
% 11.47/1.88 -> [39] cd1xcomp(X10_1_4)
% 11.47/1.88
% 11.47/1.88 [39] Rewrite : cd1xcomp(X10_1_4)
% 11.47/1.88 -> [81] ~? [Y18_18] : (ra_Px2(X10_1_4, Y18_18))
% 11.47/1.88
% 11.47/1.88 [81] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [86] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [86] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [89] ~ce3(skolem_Y66)
% 11.47/1.88 -> [90] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [89] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [113] (cf(X20_4_6) => cd(X20_4_6))
% 11.47/1.88
% 11.47/1.88 [113] BETA_IMPLY : (cf(X20_4_6) => cd(X20_4_6))
% 11.47/1.88 -> [235] ~cf(X20_4_6)
% 11.47/1.88 -> [236] cd(X20_4_6)
% 11.47/1.88
% 11.47/1.88 [235] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [490] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [490] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [491] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [492] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [491] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [492] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [550] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [550] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [236] Rewrite : cd(X20_4_6)
% 11.47/1.88 -> [500] ~? [Y12_12] : (ra_Px1(X20_4_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [500] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [501] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [501] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [502] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [503] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [502] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [503] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [631] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [631] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [90] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [38] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [82] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [82] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [83] ~ce3(skolem_Y66)
% 11.47/1.88 -> [84] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [84] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [255] BETA_IMPLY : (cf(X20_17_6) => cd(X20_17_6))
% 11.47/1.88 -> [604] ~cf(X20_17_6)
% 11.47/1.88 -> [605] cd(X20_17_6)
% 11.47/1.88
% 11.47/1.88 [604] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [611] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [611] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [612] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [613] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [612] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [613] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [646] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [646] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [605] Rewrite : cd(X20_17_6)
% 11.47/1.88 -> [622] ~? [Y12_12] : (ra_Px1(X20_17_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [622] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [623] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [623] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [624] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [625] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [624] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [625] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [692] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [692] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [25] Rewrite : cd1(X9_1_3)
% 11.47/1.88 -> [36] ra_Px2(X9_1_3, skolem_Y01616(X9_1_3))
% 11.47/1.88
% 11.47/1.88 [36] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [55] (cc1(X10_4_4) => cd1xcomp(X10_4_4))
% 11.47/1.88
% 11.47/1.88 [55] BETA_IMPLY : (cc1(X10_4_4) => cd1xcomp(X10_4_4))
% 11.47/1.88 -> [56] ~cc1(X10_4_4)
% 11.47/1.88 -> [57] cd1xcomp(X10_4_4)
% 11.47/1.88
% 11.47/1.88 [57] Rewrite : cd1xcomp(X10_4_4)
% 11.47/1.88 -> [114] ~? [Y18_18] : (ra_Px2(X10_4_4, Y18_18))
% 11.47/1.88
% 11.47/1.88 [114] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [115] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [115] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [116] ~ce3(skolem_Y66)
% 11.47/1.88 -> [117] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [116] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [144] (cf(X20_8_6) => cd(X20_8_6))
% 11.47/1.88
% 11.47/1.88 [144] BETA_IMPLY : (cf(X20_8_6) => cd(X20_8_6))
% 11.47/1.88 -> [145] ~cf(X20_8_6)
% 11.47/1.88 -> [146] cd(X20_8_6)
% 11.47/1.88
% 11.47/1.88 [145] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [403] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [403] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [404] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [405] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [404] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [405] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [449] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [449] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [146] Rewrite : cd(X20_8_6)
% 11.47/1.88 -> [344] ~? [Y12_12] : (ra_Px1(X20_8_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [344] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [345] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [345] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [346] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [347] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [346] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [347] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [539] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [539] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [117] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [56] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [118] (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [118] BETA_IMPLY : (ce3(skolem_Y66) => cc(skolem_Y66))
% 11.47/1.88 -> [119] ~ce3(skolem_Y66)
% 11.47/1.88 -> [120] cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [120] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [141] BETA_IMPLY : (cf(X20_7_6) => cd(X20_7_6))
% 11.47/1.88 -> [708] ~cf(X20_7_6)
% 11.47/1.88 -> [709] cd(X20_7_6)
% 11.47/1.88
% 11.47/1.88 [709] Rewrite : cd(X20_7_6)
% 11.47/1.88 -> [726] ~? [Y12_12] : (ra_Px1(X20_7_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [726] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [727] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [727] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [728] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [729] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [728] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [729] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [770] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [770] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [708] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [741] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [741] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [742] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [743] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [742] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [743] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [791] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [791] CLOSURE : cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [17] Rewrite : cdxcomp(skolem_Y66)
% 11.47/1.88 -> [22] ra_Px1(skolem_Y66, skolem_Y01414(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [22] GAMMA_FORALL : ! [X9_9] : ((cc1(X9_9) => cd1(X9_9)))
% 11.47/1.88 -> [33] (cc1(X9_3_3) => cd1(X9_3_3))
% 11.47/1.88
% 11.47/1.88 [33] BETA_IMPLY : (cc1(X9_3_3) => cd1(X9_3_3))
% 11.47/1.88 -> [34] ~cc1(X9_3_3)
% 11.47/1.88 -> [35] cd1(X9_3_3)
% 11.47/1.88
% 11.47/1.88 [34] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [74] (cc1(X10_6_4) => cd1xcomp(X10_6_4))
% 11.47/1.88
% 11.47/1.88 [74] BETA_IMPLY : (cc1(X10_6_4) => cd1xcomp(X10_6_4))
% 11.47/1.88 -> [76] ~cc1(X10_6_4)
% 11.47/1.88 -> [77] cd1xcomp(X10_6_4)
% 11.47/1.88
% 11.47/1.88 [76] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [243] (ce3(X19_15_5) => cc(X19_15_5))
% 11.47/1.88
% 11.47/1.88 [243] BETA_IMPLY : (ce3(X19_15_5) => cc(X19_15_5))
% 11.47/1.88 -> [244] ~ce3(X19_15_5)
% 11.47/1.88 -> [245] cc(X19_15_5)
% 11.47/1.88
% 11.47/1.88 [245] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [264] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [264] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [265] ~cf(skolem_Y66)
% 11.47/1.88 -> [266] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [266] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [296] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [296] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [300] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [300] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [301] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [302] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [301] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [302] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [386] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [386] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [396] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [396] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [402] ~ra_Px1(skolem_Y66, Y12_11_8)
% 11.47/1.88
% 11.47/1.88 [402] CLOSURE : ~ra_Px1(skolem_Y66, Y12_11_8)
% 11.47/1.88
% 11.47/1.88 [314] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [428] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [429] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [428] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [429] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [660] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [660] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [679] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [679] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [700] ~ra_Px1(skolem_Y66, Y12_50_8)
% 11.47/1.88
% 11.47/1.88 [700] CLOSURE : ~ra_Px1(skolem_Y66, Y12_50_8)
% 11.47/1.88
% 11.47/1.88 [244] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [261] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [261] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [262] ~cf(skolem_Y66)
% 11.47/1.88 -> [263] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [262] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [309] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [309] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [310] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [311] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [310] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [311] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [618] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [618] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [632] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [632] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [641] ~ra_Px1(skolem_Y66, Y12_38_8)
% 11.47/1.88
% 11.47/1.88 [641] CLOSURE : ~ra_Px1(skolem_Y66, Y12_38_8)
% 11.47/1.88
% 11.47/1.88 [263] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [684] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [684] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [685] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [686] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [685] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [686] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [785] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [785] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [798] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [798] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [811] ~ra_Px1(skolem_Y66, Y12_61_8)
% 11.47/1.88
% 11.47/1.88 [811] CLOSURE : ~ra_Px1(skolem_Y66, Y12_61_8)
% 11.47/1.88
% 11.47/1.88 [77] Rewrite : cd1xcomp(X10_6_4)
% 11.47/1.88 -> [101] ~? [Y18_18] : (ra_Px2(X10_6_4, Y18_18))
% 11.47/1.88
% 11.47/1.88 [101] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [104] (ce3(X19_8_5) => cc(X19_8_5))
% 11.47/1.88
% 11.47/1.88 [104] BETA_IMPLY : (ce3(X19_8_5) => cc(X19_8_5))
% 11.47/1.88 -> [105] ~ce3(X19_8_5)
% 11.47/1.88 -> [106] cc(X19_8_5)
% 11.47/1.88
% 11.47/1.88 [106] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [246] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [246] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [247] ~cf(skolem_Y66)
% 11.47/1.88 -> [248] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [247] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [295] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [295] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [297] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [298] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [297] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [298] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [536] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [536] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [540] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [540] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_6_4, Y18_18))
% 11.47/1.88 -> [546] ~ra_Px2(X10_6_4, Y18_14_8)
% 11.47/1.88
% 11.47/1.88 [546] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [551] ~ra_Px1(skolem_Y66, Y12_26_9)
% 11.47/1.88
% 11.47/1.88 [551] CLOSURE : ~ra_Px1(skolem_Y66, Y12_26_9)
% 11.47/1.88
% 11.47/1.88 [248] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [567] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [567] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [568] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [569] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [568] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [569] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [690] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [690] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [703] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [703] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_6_4, Y18_18))
% 11.47/1.88 -> [710] ~ra_Px2(X10_6_4, Y18_30_8)
% 11.47/1.88
% 11.47/1.88 [710] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [739] ~ra_Px1(skolem_Y66, Y12_52_9)
% 11.47/1.88
% 11.47/1.88 [739] CLOSURE : ~ra_Px1(skolem_Y66, Y12_52_9)
% 11.47/1.88
% 11.47/1.88 [105] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [138] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [138] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [139] ~cf(skolem_Y66)
% 11.47/1.88 -> [140] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [139] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [173] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [173] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [356] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [357] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [356] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [357] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [495] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [495] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [504] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [504] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_6_4, Y18_18))
% 11.47/1.88 -> [513] ~ra_Px2(X10_6_4, Y18_11_8)
% 11.47/1.88
% 11.47/1.88 [513] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [525] ~ra_Px1(skolem_Y66, Y12_23_9)
% 11.47/1.88
% 11.47/1.88 [525] CLOSURE : ~ra_Px1(skolem_Y66, Y12_23_9)
% 11.47/1.88
% 11.47/1.88 [140] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [788] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [788] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [789] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [790] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [789] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [790] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [837] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [837] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [847] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [847] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_6_4, Y18_18))
% 11.47/1.88 -> [867] ~ra_Px2(X10_6_4, Y18_38_8)
% 11.47/1.88
% 11.47/1.88 [867] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [880] ~ra_Px1(skolem_Y66, Y12_70_9)
% 11.47/1.88
% 11.47/1.88 [880] CLOSURE : ~ra_Px1(skolem_Y66, Y12_70_9)
% 11.47/1.88
% 11.47/1.88 [35] Rewrite : cd1(X9_3_3)
% 11.47/1.88 -> [54] ra_Px2(X9_3_3, skolem_Y01616(X9_3_3))
% 11.47/1.88
% 11.47/1.88 [54] GAMMA_FORALL : ! [X10_10] : ((cc1(X10_10) => cd1xcomp(X10_10)))
% 11.47/1.88 -> [75] (cc1(X10_7_4) => cd1xcomp(X10_7_4))
% 11.47/1.88
% 11.47/1.88 [75] BETA_IMPLY : (cc1(X10_7_4) => cd1xcomp(X10_7_4))
% 11.47/1.88 -> [78] ~cc1(X10_7_4)
% 11.47/1.88 -> [79] cd1xcomp(X10_7_4)
% 11.47/1.88
% 11.47/1.88 [78] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [174] (ce3(X19_14_5) => cc(X19_14_5))
% 11.47/1.88
% 11.47/1.88 [174] BETA_IMPLY : (ce3(X19_14_5) => cc(X19_14_5))
% 11.47/1.88 -> [175] ~ce3(X19_14_5)
% 11.47/1.88 -> [176] cc(X19_14_5)
% 11.47/1.88
% 11.47/1.88 [175] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [210] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [210] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [211] ~cf(skolem_Y66)
% 11.47/1.88 -> [212] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [211] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [472] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [472] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [473] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [474] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [473] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [474] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [758] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [758] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [765] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [765] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [769] ~ra_Px1(skolem_Y66, Y12_56_8)
% 11.47/1.88
% 11.47/1.88 [769] CLOSURE : ~ra_Px1(skolem_Y66, Y12_56_8)
% 11.47/1.88
% 11.47/1.88 [212] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [780] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [780] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [781] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [782] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [781] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [782] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [825] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [825] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [827] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [827] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [831] ~ra_Px1(skolem_Y66, Y12_67_8)
% 11.47/1.88
% 11.47/1.88 [831] CLOSURE : ~ra_Px1(skolem_Y66, Y12_67_8)
% 11.47/1.88
% 11.47/1.88 [176] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [206] (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [206] BETA_IMPLY : (cf(skolem_Y66) => cd(skolem_Y66))
% 11.47/1.88 -> [207] ~cf(skolem_Y66)
% 11.47/1.88 -> [208] cd(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [208] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [234] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [234] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [238] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [238] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [239] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [240] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [239] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [240] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [711] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [711] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [725] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [725] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [734] ~ra_Px1(skolem_Y66, Y12_51_8)
% 11.47/1.88
% 11.47/1.88 [734] CLOSURE : ~ra_Px1(skolem_Y66, Y12_51_8)
% 11.47/1.88
% 11.47/1.88 [249] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [796] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [797] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [796] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [797] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [830] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [830] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [836] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [836] GAMMA_NOT_EXISTS : ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88 -> [845] ~ra_Px1(skolem_Y66, Y12_69_8)
% 11.47/1.88
% 11.47/1.88 [845] CLOSURE : ~ra_Px1(skolem_Y66, Y12_69_8)
% 11.47/1.88
% 11.47/1.88 [79] GAMMA_FORALL : ! [X19_19] : ((ce3(X19_19) => cc(X19_19)))
% 11.47/1.88 -> [877] (ce3(X19_17_5) => cc(X19_17_5))
% 11.47/1.88
% 11.47/1.88 [877] BETA_IMPLY : (ce3(X19_17_5) => cc(X19_17_5))
% 11.47/1.88 -> [878] ~ce3(X19_17_5)
% 11.47/1.88 -> [879] cc(X19_17_5)
% 11.47/1.88
% 11.47/1.88 [878] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [885] (cf(X20_26_6) => cd(X20_26_6))
% 11.47/1.88
% 11.47/1.88 [885] BETA_IMPLY : (cf(X20_26_6) => cd(X20_26_6))
% 11.47/1.88 -> [886] ~cf(X20_26_6)
% 11.47/1.88 -> [887] cd(X20_26_6)
% 11.47/1.88
% 11.47/1.88 [887] Rewrite : cd(X20_26_6)
% 11.47/1.88 -> [892] ~? [Y12_12] : (ra_Px1(X20_26_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [892] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [893] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [893] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [894] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [895] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [894] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [895] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [933] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [933] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [936] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [936] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_7_4, Y18_18))
% 11.47/1.88 -> [939] ~ra_Px2(X10_7_4, Y18_52_8)
% 11.47/1.88
% 11.47/1.88 [939] CLOSURE : ~ra_Px2(X10_7_4, Y18_52_8)
% 11.47/1.88
% 11.47/1.88 [886] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [897] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [897] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [900] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [901] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [900] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [901] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [935] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [935] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [938] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [938] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_7_4, Y18_18))
% 11.47/1.88 -> [942] ~ra_Px2(X10_7_4, Y18_53_8)
% 11.47/1.88
% 11.47/1.88 [942] CLOSURE : ~ra_Px2(X10_7_4, Y18_53_8)
% 11.47/1.88
% 11.47/1.88 [879] GAMMA_FORALL : ! [X20_20] : ((cf(X20_20) => cd(X20_20)))
% 11.47/1.88 -> [888] (cf(X20_27_6) => cd(X20_27_6))
% 11.47/1.88
% 11.47/1.88 [888] BETA_IMPLY : (cf(X20_27_6) => cd(X20_27_6))
% 11.47/1.88 -> [889] ~cf(X20_27_6)
% 11.47/1.88 -> [890] cd(X20_27_6)
% 11.47/1.88
% 11.47/1.88 [889] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [896] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [896] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [898] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [899] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [898] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [899] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [937] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [937] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [941] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [941] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_7_4, Y18_18))
% 11.47/1.88 -> [944] ~ra_Px2(X10_7_4, Y18_54_8)
% 11.47/1.88
% 11.47/1.88 [944] CLOSURE : ~ra_Px2(X10_7_4, Y18_54_8)
% 11.47/1.88
% 11.47/1.88 [890] Rewrite : cd(X20_27_6)
% 11.47/1.88 -> [909] ~? [Y12_12] : (ra_Px1(X20_27_6, Y12_12))
% 11.47/1.88
% 11.47/1.88 [909] GAMMA_FORALL : ! [Y7_7] : ((rr(i2003_11_14_17_22_10903, Y7_7) => ca_Ax3(Y7_7)))
% 11.47/1.88 -> [911] (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88
% 11.47/1.88 [911] BETA_IMPLY : (rr(i2003_11_14_17_22_10903, skolem_Y66) => ca_Ax3(skolem_Y66))
% 11.47/1.88 -> [913] ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88 -> [914] ca_Ax3(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [913] CLOSURE : ~rr(i2003_11_14_17_22_10903, skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [914] ALPHA_AND : (cd(skolem_Y66) & cc(skolem_Y66))
% 11.47/1.88 -> [940] cd(skolem_Y66), cc(skolem_Y66)
% 11.47/1.88
% 11.47/1.88 [940] Rewrite : cd(skolem_Y66)
% 11.47/1.88 -> [943] ~? [Y12_12] : (ra_Px1(skolem_Y66, Y12_12))
% 11.47/1.88
% 11.47/1.88 [943] GAMMA_NOT_EXISTS : ~? [Y18_18] : (ra_Px2(X10_7_4, Y18_18))
% 11.47/1.88 -> [945] ~ra_Px2(X10_7_4, Y18_55_8)
% 11.47/1.88
% 11.47/1.88 [945] CLOSURE : ~ra_Px2(X10_7_4, Y18_55_8)
% 11.47/1.88
% 11.47/1.88 % SZS output end Proof for theBenchmark.p
% 11.47/1.88 [1.551227s][1][Res] 15664 goroutines created
% 11.47/1.88 ==== Result ====
% 11.47/1.88 [1.551247s][1][Res] VALID
% 11.47/1.88 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------