TSTP Solution File: KRS160+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n014.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 17:33:23 EDT 2022
% Result : Theorem 1.43s 0.65s
% Output : Proof 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS160+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 09:40:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 24
% 0.13/0.35 Launch Gotab with destructive = true
% 1.43/0.65 % SZS output start Proof for theBenchmark.p
% 1.43/0.65 [0] ALPHA_AND : (! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))) & ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))) & cTEST(iV21080) & cC8xcomp(iV21080) & cowlThing(iV21080) & ! [X24_24] : ((rR1(iV21080, X24_24) => cC6xcomp(X24_24))) & rR1(iV21080, iV21081) & cC4(iV21081) & cC6xcomp(iV21081) & cC2(iV21081) & cowlThing(iV21081) & ~(((((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081)))
% 1.43/0.65 -> [1] ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))), ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))), cTEST(iV21080), cC8xcomp(iV21080), cowlThing(iV21080), ! [X24_24] : ((rR1(iV21080, X24_24) => cC6xcomp(X24_24))), rR1(iV21080, iV21081), cC4(iV21081), cC6xcomp(iV21081), cC2(iV21081), cowlThing(iV21081), ~(((((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081))
% 1.43/0.65
% 1.43/0.65 [1] Rewrite : cTEST(iV21080)
% 1.43/0.65 -> [2] (cC8xcomp(iV21080) & cC12(iV21080))
% 1.43/0.65
% 1.43/0.65 [2] Rewrite : cC8xcomp(iV21080)
% 1.43/0.65 -> [3] ~? [Y22_22] : (ra_Px2(iV21080, Y22_22))
% 1.43/0.65
% 1.43/0.65 [3] Rewrite : cC6xcomp(iV21081)
% 1.43/0.65 -> [4] ra_Px4(iV21081, skolem_Y01616(iV21081))
% 1.43/0.65
% 1.43/0.65 [4] Rewrite : cC2(iV21081)
% 1.43/0.65 -> [5] ~? [Y9_9] : (ra_Px1(iV21081, Y9_9))
% 1.43/0.65
% 1.43/0.65 [5] ALPHA_AND : (cC8xcomp(iV21080) & cC12(iV21080))
% 1.43/0.65 -> [6] cC8xcomp(iV21080), cC12(iV21080)
% 1.43/0.65
% 1.43/0.65 [6] Rewrite : cC8xcomp(iV21080)
% 1.43/0.65 -> [7] ~? [Y22_22] : (ra_Px2(iV21080, Y22_22))
% 1.43/0.65
% 1.43/0.65 [7] Rewrite : cC12(iV21080)
% 1.43/0.65 -> [8] (rR1(iV21080, skolem_Y77(iV21080)) & cC10(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [8] ALPHA_AND : (rR1(iV21080, skolem_Y77(iV21080)) & cC10(skolem_Y77(iV21080)))
% 1.43/0.65 -> [9] rR1(iV21080, skolem_Y77(iV21080)), cC10(skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [9] Rewrite : cC10(skolem_Y77(iV21080))
% 1.43/0.65 -> [10] (cC4(skolem_Y77(iV21080)) & cC2(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [10] ALPHA_AND : (cC4(skolem_Y77(iV21080)) & cC2(skolem_Y77(iV21080)))
% 1.43/0.65 -> [11] cC4(skolem_Y77(iV21080)), cC2(skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [11] Rewrite : cC2(skolem_Y77(iV21080))
% 1.43/0.65 -> [12] ~? [Y9_9] : (ra_Px1(skolem_Y77(iV21080), Y9_9))
% 1.43/0.65
% 1.43/0.65 [12] BETA_NOT_AND : ~(((((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081))
% 1.43/0.65 -> [13] ~((((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081))
% 1.43/0.65 -> [14] ~cowlThing(iV21081)
% 1.43/0.65
% 1.43/0.65 [14] CLOSURE : ~cowlThing(iV21081)
% 1.43/0.65
% 1.43/0.65 [13] BETA_NOT_AND : ~((((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081))
% 1.43/0.65 -> [15] ~(((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080)) & cC12(iV21080))
% 1.43/0.65 -> [16] ~cC10(iV21081)
% 1.43/0.65
% 1.43/0.65 [16] Rewrite : ~cC10(iV21081)
% 1.43/0.65 -> [29] ~(cC4(iV21081) & cC2(iV21081))
% 1.43/0.65
% 1.43/0.65 [29] BETA_NOT_AND : ~(cC4(iV21081) & cC2(iV21081))
% 1.43/0.65 -> [30] ~cC4(iV21081)
% 1.43/0.65 -> [31] ~cC2(iV21081)
% 1.43/0.65
% 1.43/0.65 [30] CLOSURE : ~cC4(iV21081)
% 1.43/0.65
% 1.43/0.65 [31] Rewrite : ~cC2(iV21081)
% 1.43/0.65 -> [36] ra_Px1(iV21081, skolem_Y99(iV21081))
% 1.43/0.65
% 1.43/0.65 [36] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.43/0.65 -> [41] (cowlThing(X3_3_0) & ~cowlNothing(X3_3_0))
% 1.43/0.65
% 1.43/0.65 [41] ALPHA_AND : (cowlThing(X3_3_0) & ~cowlNothing(X3_3_0))
% 1.43/0.65 -> [43] cowlThing(X3_3_0), ~cowlNothing(X3_3_0)
% 1.43/0.65
% 1.43/0.65 [43] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.43/0.65 -> [52] (xsd_string(X4_1_1) <=> ~xsd_integer(X4_1_1))
% 1.43/0.65
% 1.43/0.65 [52] BETA_EQUIV : (xsd_string(X4_1_1) <=> ~xsd_integer(X4_1_1))
% 1.43/0.65 -> [53] ~xsd_string(X4_1_1), ~~xsd_integer(X4_1_1)
% 1.43/0.65 -> [54] xsd_string(X4_1_1), ~xsd_integer(X4_1_1)
% 1.43/0.65
% 1.43/0.65 [54] GAMMA_FORALL : ! [X24_24] : ((rR1(iV21080, X24_24) => cC6xcomp(X24_24)))
% 1.43/0.65 -> [67] (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [67] BETA_IMPLY : (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65 -> [68] ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65 -> [69] cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [68] CLOSURE : ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [69] Rewrite : cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65 -> [72] ra_Px4(skolem_Y77(iV21080), skolem_Y01616(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [72] GAMMA_NOT_EXISTS : ~? [Y22_22] : (ra_Px2(iV21080, Y22_22))
% 1.43/0.65 -> [81] ~ra_Px2(iV21080, Y22_2_3)
% 1.43/0.65
% 1.43/0.65 [81] GAMMA_NOT_EXISTS : ~? [Y9_9] : (ra_Px1(iV21081, Y9_9))
% 1.43/0.65 -> [85] ~ra_Px1(iV21081, Y9_2_4)
% 1.43/0.65
% 1.43/0.65 [85] CLOSURE : ~ra_Px1(iV21081, Y9_2_4)
% 1.43/0.65
% 1.43/0.65 [53] ALPHA_NOT_NOT : ~~xsd_integer(X4_1_1)
% 1.43/0.65 -> [65] xsd_integer(X4_1_1)
% 1.43/0.65
% 1.43/0.65 [65] GAMMA_FORALL : ! [X24_24] : ((rR1(iV21080, X24_24) => cC6xcomp(X24_24)))
% 1.43/0.65 -> [76] (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [76] BETA_IMPLY : (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65 -> [77] ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65 -> [78] cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [77] CLOSURE : ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [78] Rewrite : cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65 -> [83] ra_Px4(skolem_Y77(iV21080), skolem_Y01616(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [83] GAMMA_NOT_EXISTS : ~? [Y22_22] : (ra_Px2(iV21080, Y22_22))
% 1.43/0.65 -> [86] ~ra_Px2(iV21080, Y22_3_3)
% 1.43/0.65
% 1.43/0.65 [86] GAMMA_NOT_EXISTS : ~? [Y9_9] : (ra_Px1(iV21081, Y9_9))
% 1.43/0.65 -> [88] ~ra_Px1(iV21081, Y9_4_4)
% 1.43/0.65
% 1.43/0.65 [88] CLOSURE : ~ra_Px1(iV21081, Y9_4_4)
% 1.43/0.65
% 1.43/0.65 [15] BETA_NOT_AND : ~(((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080)) & cC12(iV21080))
% 1.43/0.65 -> [17] ~((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080))
% 1.43/0.65 -> [18] ~cC12(iV21080)
% 1.43/0.65
% 1.43/0.65 [17] BETA_NOT_AND : ~((! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))) & cowlThing(iV21080))
% 1.43/0.65 -> [19] ~(! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26))))
% 1.43/0.65 -> [20] ~cowlThing(iV21080)
% 1.43/0.65
% 1.43/0.65 [20] CLOSURE : ~cowlThing(iV21080)
% 1.43/0.65
% 1.43/0.65 [19] BETA_NOT_AND : ~(! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25))) & ! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26))))
% 1.43/0.65 -> [21] ~! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25)))
% 1.43/0.65 -> [22] ~! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))
% 1.43/0.65
% 1.43/0.65 [21] DELTA_NOT_FORALL : ~! [X25_25] : ((cowlThing(X25_25) & ~cowlNothing(X25_25)))
% 1.43/0.65 -> [23] ~(cowlThing(skolem_X2525) & ~cowlNothing(skolem_X2525))
% 1.43/0.65
% 1.43/0.65 [23] BETA_NOT_AND : ~(cowlThing(skolem_X2525) & ~cowlNothing(skolem_X2525))
% 1.43/0.65 -> [27] ~cowlThing(skolem_X2525)
% 1.43/0.65 -> [28] ~~cowlNothing(skolem_X2525)
% 1.43/0.65
% 1.43/0.65 [27] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.43/0.65 -> [38] (cowlThing(X3_1_0) & ~cowlNothing(X3_1_0))
% 1.43/0.65
% 1.43/0.65 [38] ALPHA_AND : (cowlThing(X3_1_0) & ~cowlNothing(X3_1_0))
% 1.43/0.65 -> [39] cowlThing(X3_1_0), ~cowlNothing(X3_1_0)
% 1.43/0.65
% 1.43/0.65 [39] CLOSURE : cowlThing(X3_1_0)
% 1.43/0.65
% 1.43/0.65 [28] ALPHA_NOT_NOT : ~~cowlNothing(skolem_X2525)
% 1.43/0.65 -> [32] cowlNothing(skolem_X2525)
% 1.43/0.65
% 1.43/0.65 [32] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.43/0.65 -> [44] (cowlThing(X3_4_0) & ~cowlNothing(X3_4_0))
% 1.43/0.65
% 1.43/0.65 [44] ALPHA_AND : (cowlThing(X3_4_0) & ~cowlNothing(X3_4_0))
% 1.43/0.65 -> [45] cowlThing(X3_4_0), ~cowlNothing(X3_4_0)
% 1.43/0.65
% 1.43/0.65 [45] CLOSURE : ~cowlNothing(X3_4_0)
% 1.43/0.65
% 1.43/0.65 [22] DELTA_NOT_FORALL : ~! [X26_26] : ((xsd_string(X26_26) <=> ~xsd_integer(X26_26)))
% 1.43/0.65 -> [24] ~(xsd_string(skolem_X2626) <=> ~xsd_integer(skolem_X2626))
% 1.43/0.65
% 1.43/0.65 [24] BETA_NOT_EQUIV : ~(xsd_string(skolem_X2626) <=> ~xsd_integer(skolem_X2626))
% 1.43/0.65 -> [25] ~xsd_string(skolem_X2626), ~xsd_integer(skolem_X2626)
% 1.43/0.65 -> [26] xsd_string(skolem_X2626), ~~xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [25] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.43/0.65 -> [40] (cowlThing(X3_2_0) & ~cowlNothing(X3_2_0))
% 1.43/0.65
% 1.43/0.65 [40] ALPHA_AND : (cowlThing(X3_2_0) & ~cowlNothing(X3_2_0))
% 1.43/0.65 -> [42] cowlThing(X3_2_0), ~cowlNothing(X3_2_0)
% 1.43/0.65
% 1.43/0.65 [42] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.43/0.65 -> [56] (xsd_string(skolem_X2626) <=> ~xsd_integer(skolem_X2626))
% 1.43/0.65
% 1.43/0.65 [56] BETA_EQUIV : (xsd_string(skolem_X2626) <=> ~xsd_integer(skolem_X2626))
% 1.43/0.65 -> [57] ~xsd_string(skolem_X2626), ~~xsd_integer(skolem_X2626)
% 1.43/0.65 -> [58] xsd_string(skolem_X2626), ~xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [58] CLOSURE : xsd_string(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [57] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2626)
% 1.43/0.65 -> [66] xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [66] CLOSURE : xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [26] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2626)
% 1.43/0.65 -> [37] xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [37] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.43/0.65 -> [46] (cowlThing(X3_5_0) & ~cowlNothing(X3_5_0))
% 1.43/0.65
% 1.43/0.65 [46] ALPHA_AND : (cowlThing(X3_5_0) & ~cowlNothing(X3_5_0))
% 1.43/0.65 -> [47] cowlThing(X3_5_0), ~cowlNothing(X3_5_0)
% 1.43/0.65
% 1.43/0.65 [47] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.43/0.65 -> [73] (xsd_string(skolem_X2626) <=> ~xsd_integer(skolem_X2626))
% 1.43/0.65
% 1.43/0.65 [73] BETA_EQUIV : (xsd_string(skolem_X2626) <=> ~xsd_integer(skolem_X2626))
% 1.43/0.65 -> [74] ~xsd_string(skolem_X2626), ~~xsd_integer(skolem_X2626)
% 1.43/0.65 -> [75] xsd_string(skolem_X2626), ~xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [75] CLOSURE : ~xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [74] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X2626)
% 1.43/0.65 -> [80] xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [80] CLOSURE : ~~xsd_integer(skolem_X2626)
% 1.43/0.65
% 1.43/0.65 [18] Rewrite : ~cC12(iV21080)
% 1.43/0.65 -> [33] ~? [Y7_7] : ((rR1(iV21080, Y7_7) & cC10(Y7_7)))
% 1.43/0.65
% 1.43/0.65 [33] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.43/0.65 -> [34] (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.43/0.65
% 1.43/0.65 [34] ALPHA_AND : (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.43/0.65 -> [35] cowlThing(X3_0_0), ~cowlNothing(X3_0_0)
% 1.43/0.65
% 1.43/0.65 [35] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.43/0.65 -> [48] (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 1.43/0.65
% 1.43/0.65 [48] BETA_EQUIV : (xsd_string(X4_0_1) <=> ~xsd_integer(X4_0_1))
% 1.43/0.65 -> [49] ~xsd_string(X4_0_1), ~~xsd_integer(X4_0_1)
% 1.43/0.65 -> [50] xsd_string(X4_0_1), ~xsd_integer(X4_0_1)
% 1.43/0.65
% 1.43/0.65 [50] GAMMA_FORALL : ! [X24_24] : ((rR1(iV21080, X24_24) => cC6xcomp(X24_24)))
% 1.43/0.65 -> [55] (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [55] BETA_IMPLY : (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65 -> [59] ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65 -> [60] cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [59] CLOSURE : ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [60] Rewrite : cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65 -> [64] ra_Px4(skolem_Y77(iV21080), skolem_Y01616(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [64] GAMMA_NOT_EXISTS : ~? [Y22_22] : (ra_Px2(iV21080, Y22_22))
% 1.43/0.65 -> [71] ~ra_Px2(iV21080, Y22_0_3)
% 1.43/0.65
% 1.43/0.65 [71] GAMMA_NOT_EXISTS : ~? [Y9_9] : (ra_Px1(iV21081, Y9_9))
% 1.43/0.65 -> [82] ~ra_Px1(iV21081, skolem_Y99(iV21081))
% 1.43/0.65
% 1.43/0.65 [82] GAMMA_NOT_EXISTS : ~? [Y9_9] : (ra_Px1(skolem_Y77(iV21080), Y9_9))
% 1.43/0.65 -> [87] ~ra_Px1(skolem_Y77(iV21080), Y9_3_5)
% 1.43/0.65
% 1.43/0.65 [87] GAMMA_NOT_EXISTS : ~? [Y7_7] : ((rR1(iV21080, Y7_7) & cC10(Y7_7)))
% 1.43/0.65 -> [90] ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 1.43/0.65
% 1.43/0.65 [90] BETA_NOT_AND : ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 1.43/0.65 -> [91] ~rR1(iV21080, iV21081)
% 1.43/0.65 -> [92] ~cC10(iV21081)
% 1.43/0.65
% 1.43/0.65 [91] CLOSURE : ~rR1(iV21080, iV21081)
% 1.43/0.65
% 1.43/0.65 [92] BETA_NOT_AND : ~(cC4(iV21081) & cC2(iV21081))
% 1.43/0.65 -> [104] ~cC4(iV21081)
% 1.43/0.65 -> [105] ~cC2(iV21081)
% 1.43/0.65
% 1.43/0.65 [104] CLOSURE : ~cC4(iV21081)
% 1.43/0.65
% 1.43/0.65 [105] Rewrite : ~cC2(iV21081)
% 1.43/0.65 -> [108] ra_Px1(iV21081, skolem_Y99(iV21081))
% 1.43/0.65
% 1.43/0.65 [108] CLOSURE : ra_Px1(iV21081, skolem_Y99(iV21081))
% 1.43/0.65
% 1.43/0.65 [49] ALPHA_NOT_NOT : ~~xsd_integer(X4_0_1)
% 1.43/0.65 -> [51] xsd_integer(X4_0_1)
% 1.43/0.65
% 1.43/0.65 [51] GAMMA_FORALL : ! [X24_24] : ((rR1(iV21080, X24_24) => cC6xcomp(X24_24)))
% 1.43/0.65 -> [61] (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [61] BETA_IMPLY : (rR1(iV21080, skolem_Y77(iV21080)) => cC6xcomp(skolem_Y77(iV21080)))
% 1.43/0.65 -> [62] ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65 -> [63] cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [62] CLOSURE : ~rR1(iV21080, skolem_Y77(iV21080))
% 1.43/0.65
% 1.43/0.65 [63] Rewrite : cC6xcomp(skolem_Y77(iV21080))
% 1.43/0.65 -> [70] ra_Px4(skolem_Y77(iV21080), skolem_Y01616(skolem_Y77(iV21080)))
% 1.43/0.65
% 1.43/0.65 [70] GAMMA_NOT_EXISTS : ~? [Y22_22] : (ra_Px2(iV21080, Y22_22))
% 1.43/0.65 -> [79] ~ra_Px2(iV21080, Y22_1_3)
% 1.43/0.65
% 1.43/0.65 [79] GAMMA_NOT_EXISTS : ~? [Y9_9] : (ra_Px1(iV21081, Y9_9))
% 1.43/0.65 -> [84] ~ra_Px1(iV21081, skolem_Y99(iV21081))
% 1.43/0.65
% 1.43/0.65 [84] GAMMA_NOT_EXISTS : ~? [Y9_9] : (ra_Px1(skolem_Y77(iV21080), Y9_9))
% 1.43/0.65 -> [89] ~ra_Px1(skolem_Y77(iV21080), Y9_5_5)
% 1.43/0.65
% 1.43/0.65 [89] GAMMA_NOT_EXISTS : ~? [Y7_7] : ((rR1(iV21080, Y7_7) & cC10(Y7_7)))
% 1.43/0.65 -> [97] ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 1.43/0.65
% 1.43/0.65 [97] BETA_NOT_AND : ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 1.43/0.65 -> [98] ~rR1(iV21080, iV21081)
% 1.43/0.65 -> [99] ~cC10(iV21081)
% 1.43/0.65
% 1.43/0.65 [98] CLOSURE : ~rR1(iV21080, iV21081)
% 1.43/0.65
% 1.43/0.65 [99] BETA_NOT_AND : ~(cC4(iV21081) & cC2(iV21081))
% 1.43/0.65 -> [106] ~cC4(iV21081)
% 1.43/0.65 -> [107] ~cC2(iV21081)
% 1.43/0.65
% 1.43/0.65 [106] CLOSURE : ~cC4(iV21081)
% 1.43/0.65
% 1.43/0.65 [107] Rewrite : ~cC2(iV21081)
% 1.43/0.65 -> [109] ra_Px1(iV21081, skolem_Y99(iV21081))
% 1.43/0.65
% 1.43/0.65 [109] CLOSURE : ra_Px1(iV21081, skolem_Y99(iV21081))
% 1.43/0.65
% 1.43/0.65 % SZS output end Proof for theBenchmark.p
% 1.43/0.65 [0.299381s][1][Res] 1761 goroutines created
% 1.43/0.65 ==== Result ====
% 1.43/0.65 [0.299416s][1][Res] VALID
% 1.43/0.65 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------