TSTP Solution File: KRS152+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS152+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 17:33:21 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS152+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n023.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 10:00:34 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 [0.000042s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 12
% 0.13/0.35 Launch Gotab with destructive = true
% 0.20/0.51 % SZS output start Proof for theBenchmark.p
% 0.20/0.51 [0] ALPHA_AND : (! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2))) & ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))) & cTEST(iV21080) & cowlThing(iV21080) & ! [X11_11] : ((rR1(iV21080, X11_11) => ~cC6(X11_11))) & ~cC8(iV21080) & rR1(iV21080, iV21081) & ~cC6(iV21081) & cowlThing(iV21081) & cC2(iV21081) & cC4(iV21081) & ~(((((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081)))
% 0.20/0.51 -> [1] ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2))), ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3))), cTEST(iV21080), cowlThing(iV21080), ! [X11_11] : ((rR1(iV21080, X11_11) => ~cC6(X11_11))), ~cC8(iV21080), rR1(iV21080, iV21081), ~cC6(iV21081), cowlThing(iV21081), cC2(iV21081), cC4(iV21081), ~(((((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081))
% 0.20/0.51
% 0.20/0.51 [1] Rewrite : cTEST(iV21080)
% 0.20/0.51 -> [2] (cC12(iV21080) & ~cC8(iV21080))
% 0.20/0.51
% 0.20/0.51 [2] Rewrite : ~cC8(iV21080)
% 0.20/0.51 -> [3] ~? [Y9_9] : ((rR1(iV21080, Y9_9) & cC6(Y9_9)))
% 0.20/0.51
% 0.20/0.51 [3] Rewrite : ~cC6(iV21081)
% 0.20/0.51 -> [4] ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51
% 0.20/0.51 [4] ALPHA_AND : (cC12(iV21080) & ~cC8(iV21080))
% 0.20/0.51 -> [5] cC12(iV21080), ~cC8(iV21080)
% 0.20/0.51
% 0.20/0.51 [5] Rewrite : cC12(iV21080)
% 0.20/0.51 -> [6] (rR1(iV21080, skolem_Y66(iV21080)) & cC10(skolem_Y66(iV21080)))
% 0.20/0.51
% 0.20/0.51 [6] Rewrite : ~cC8(iV21080)
% 0.20/0.51 -> [7] ~? [Y9_9] : ((rR1(iV21080, Y9_9) & cC6(Y9_9)))
% 0.20/0.51
% 0.20/0.51 [7] ALPHA_AND : (rR1(iV21080, skolem_Y66(iV21080)) & cC10(skolem_Y66(iV21080)))
% 0.20/0.51 -> [8] rR1(iV21080, skolem_Y66(iV21080)), cC10(skolem_Y66(iV21080))
% 0.20/0.51
% 0.20/0.51 [8] Rewrite : cC10(skolem_Y66(iV21080))
% 0.20/0.51 -> [9] (cC2(skolem_Y66(iV21080)) & cC4(skolem_Y66(iV21080)))
% 0.20/0.51
% 0.20/0.51 [9] ALPHA_AND : (cC2(skolem_Y66(iV21080)) & cC4(skolem_Y66(iV21080)))
% 0.20/0.51 -> [10] cC2(skolem_Y66(iV21080)), cC4(skolem_Y66(iV21080))
% 0.20/0.51
% 0.20/0.51 [10] BETA_NOT_AND : ~(((((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081))
% 0.20/0.51 -> [11] ~((((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081))
% 0.20/0.51 -> [12] ~cowlThing(iV21081)
% 0.20/0.51
% 0.20/0.51 [12] CLOSURE : ~cowlThing(iV21081)
% 0.20/0.51
% 0.20/0.51 [11] BETA_NOT_AND : ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51 -> [13] ~~cC2(iV21081)
% 0.20/0.51 -> [14] ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [14] CLOSURE : ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [13] ALPHA_NOT_NOT : ~~cC2(iV21081)
% 0.20/0.51 -> [15] cC2(iV21081)
% 0.20/0.51
% 0.20/0.51 [15] BETA_NOT_AND : ~((((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081))
% 0.20/0.51 -> [16] ~(((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080)) & cC12(iV21080))
% 0.20/0.51 -> [17] ~cC10(iV21081)
% 0.20/0.51
% 0.20/0.51 [17] Rewrite : ~cC10(iV21081)
% 0.20/0.51 -> [28] ~(cC2(iV21081) & cC4(iV21081))
% 0.20/0.51
% 0.20/0.51 [28] BETA_NOT_AND : ~(cC2(iV21081) & cC4(iV21081))
% 0.20/0.51 -> [31] ~cC2(iV21081)
% 0.20/0.51 -> [32] ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [31] CLOSURE : ~cC2(iV21081)
% 0.20/0.51
% 0.20/0.51 [32] CLOSURE : ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [16] BETA_NOT_AND : ~(((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080)) & cC12(iV21080))
% 0.20/0.51 -> [18] ~((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080))
% 0.20/0.51 -> [19] ~cC12(iV21080)
% 0.20/0.51
% 0.20/0.51 [18] BETA_NOT_AND : ~((! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))) & cowlThing(iV21080))
% 0.20/0.51 -> [20] ~(! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13))))
% 0.20/0.51 -> [21] ~cowlThing(iV21080)
% 0.20/0.51
% 0.20/0.51 [21] CLOSURE : ~cowlThing(iV21080)
% 0.20/0.51
% 0.20/0.51 [20] BETA_NOT_AND : ~(! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12))) & ! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13))))
% 0.20/0.51 -> [22] ~! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12)))
% 0.20/0.51 -> [23] ~! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))
% 0.20/0.51
% 0.20/0.51 [22] DELTA_NOT_FORALL : ~! [X12_12] : ((cowlThing(X12_12) & ~cowlNothing(X12_12)))
% 0.20/0.51 -> [24] ~(cowlThing(skolem_X1212) & ~cowlNothing(skolem_X1212))
% 0.20/0.51
% 0.20/0.51 [24] BETA_NOT_AND : ~(cowlThing(skolem_X1212) & ~cowlNothing(skolem_X1212))
% 0.20/0.51 -> [29] ~cowlThing(skolem_X1212)
% 0.20/0.51 -> [30] ~~cowlNothing(skolem_X1212)
% 0.20/0.51
% 0.20/0.51 [29] GAMMA_FORALL : ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.20/0.51 -> [38] (cowlThing(X2_1_0) & ~cowlNothing(X2_1_0))
% 0.20/0.51
% 0.20/0.51 [38] ALPHA_AND : (cowlThing(X2_1_0) & ~cowlNothing(X2_1_0))
% 0.20/0.51 -> [39] cowlThing(X2_1_0), ~cowlNothing(X2_1_0)
% 0.20/0.51
% 0.20/0.51 [39] CLOSURE : cowlThing(X2_1_0)
% 0.20/0.51
% 0.20/0.51 [30] ALPHA_NOT_NOT : ~~cowlNothing(skolem_X1212)
% 0.20/0.51 -> [33] cowlNothing(skolem_X1212)
% 0.20/0.51
% 0.20/0.51 [33] GAMMA_FORALL : ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.20/0.51 -> [40] (cowlThing(X2_2_0) & ~cowlNothing(X2_2_0))
% 0.20/0.51
% 0.20/0.51 [40] ALPHA_AND : (cowlThing(X2_2_0) & ~cowlNothing(X2_2_0))
% 0.20/0.51 -> [42] cowlThing(X2_2_0), ~cowlNothing(X2_2_0)
% 0.20/0.51
% 0.20/0.51 [42] CLOSURE : ~cowlNothing(X2_2_0)
% 0.20/0.51
% 0.20/0.51 [23] DELTA_NOT_FORALL : ~! [X13_13] : ((xsd_string(X13_13) <=> ~xsd_integer(X13_13)))
% 0.20/0.51 -> [25] ~(xsd_string(skolem_X1313) <=> ~xsd_integer(skolem_X1313))
% 0.20/0.51
% 0.20/0.51 [25] BETA_NOT_EQUIV : ~(xsd_string(skolem_X1313) <=> ~xsd_integer(skolem_X1313))
% 0.20/0.51 -> [26] ~xsd_string(skolem_X1313), ~xsd_integer(skolem_X1313)
% 0.20/0.51 -> [27] xsd_string(skolem_X1313), ~~xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [26] GAMMA_FORALL : ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.20/0.51 -> [41] (cowlThing(X2_3_0) & ~cowlNothing(X2_3_0))
% 0.20/0.51
% 0.20/0.51 [41] ALPHA_AND : (cowlThing(X2_3_0) & ~cowlNothing(X2_3_0))
% 0.20/0.51 -> [43] cowlThing(X2_3_0), ~cowlNothing(X2_3_0)
% 0.20/0.51
% 0.20/0.51 [43] GAMMA_FORALL : ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 0.20/0.51 -> [50] (xsd_string(skolem_X1313) <=> ~xsd_integer(skolem_X1313))
% 0.20/0.51
% 0.20/0.51 [50] BETA_EQUIV : (xsd_string(skolem_X1313) <=> ~xsd_integer(skolem_X1313))
% 0.20/0.51 -> [51] ~xsd_string(skolem_X1313), ~~xsd_integer(skolem_X1313)
% 0.20/0.51 -> [52] xsd_string(skolem_X1313), ~xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [52] CLOSURE : xsd_string(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [51] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1313)
% 0.20/0.51 -> [62] xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [62] CLOSURE : xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [27] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1313)
% 0.20/0.51 -> [34] xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [34] GAMMA_FORALL : ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.20/0.51 -> [44] (cowlThing(X2_4_0) & ~cowlNothing(X2_4_0))
% 0.20/0.51
% 0.20/0.51 [44] ALPHA_AND : (cowlThing(X2_4_0) & ~cowlNothing(X2_4_0))
% 0.20/0.51 -> [45] cowlThing(X2_4_0), ~cowlNothing(X2_4_0)
% 0.20/0.51
% 0.20/0.51 [45] GAMMA_FORALL : ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 0.20/0.51 -> [56] (xsd_string(skolem_X1313) <=> ~xsd_integer(skolem_X1313))
% 0.20/0.51
% 0.20/0.51 [56] BETA_EQUIV : (xsd_string(skolem_X1313) <=> ~xsd_integer(skolem_X1313))
% 0.20/0.51 -> [58] ~xsd_string(skolem_X1313), ~~xsd_integer(skolem_X1313)
% 0.20/0.51 -> [59] xsd_string(skolem_X1313), ~xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [59] CLOSURE : ~xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [58] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1313)
% 0.20/0.51 -> [64] xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [64] CLOSURE : ~~xsd_integer(skolem_X1313)
% 0.20/0.51
% 0.20/0.51 [19] Rewrite : ~cC12(iV21080)
% 0.20/0.51 -> [35] ~? [Y6_6] : ((rR1(iV21080, Y6_6) & cC10(Y6_6)))
% 0.20/0.51
% 0.20/0.51 [35] GAMMA_FORALL : ! [X2_2] : ((cowlThing(X2_2) & ~cowlNothing(X2_2)))
% 0.20/0.51 -> [36] (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 0.20/0.51
% 0.20/0.51 [36] ALPHA_AND : (cowlThing(X2_0_0) & ~cowlNothing(X2_0_0))
% 0.20/0.51 -> [37] cowlThing(X2_0_0), ~cowlNothing(X2_0_0)
% 0.20/0.51
% 0.20/0.51 [37] GAMMA_FORALL : ! [X3_3] : ((xsd_string(X3_3) <=> ~xsd_integer(X3_3)))
% 0.20/0.51 -> [46] (xsd_string(X3_0_1) <=> ~xsd_integer(X3_0_1))
% 0.20/0.51
% 0.20/0.51 [46] BETA_EQUIV : (xsd_string(X3_0_1) <=> ~xsd_integer(X3_0_1))
% 0.20/0.51 -> [47] ~xsd_string(X3_0_1), ~~xsd_integer(X3_0_1)
% 0.20/0.51 -> [48] xsd_string(X3_0_1), ~xsd_integer(X3_0_1)
% 0.20/0.51
% 0.20/0.51 [47] ALPHA_NOT_NOT : ~~xsd_integer(X3_0_1)
% 0.20/0.51 -> [49] xsd_integer(X3_0_1)
% 0.20/0.51
% 0.20/0.51 [49] GAMMA_FORALL : ! [X11_11] : ((rR1(iV21080, X11_11) => ~cC6(X11_11)))
% 0.20/0.51 -> [57] (rR1(iV21080, iV21081) => ~cC6(iV21081))
% 0.20/0.51
% 0.20/0.51 [57] BETA_IMPLY : (rR1(iV21080, iV21081) => ~cC6(iV21081))
% 0.20/0.51 -> [60] ~rR1(iV21080, iV21081)
% 0.20/0.51 -> [61] ~cC6(iV21081)
% 0.20/0.51
% 0.20/0.51 [60] CLOSURE : ~rR1(iV21080, iV21081)
% 0.20/0.51
% 0.20/0.51 [61] Rewrite : ~cC6(iV21081)
% 0.20/0.51 -> [68] ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51
% 0.20/0.51 [68] BETA_NOT_AND : ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51 -> [69] ~~cC2(iV21081)
% 0.20/0.51 -> [70] ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [70] CLOSURE : ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [69] ALPHA_NOT_NOT : ~~cC2(iV21081)
% 0.20/0.51 -> [71] cC2(iV21081)
% 0.20/0.51
% 0.20/0.51 [71] GAMMA_NOT_EXISTS : ~? [Y9_9] : ((rR1(iV21080, Y9_9) & cC6(Y9_9)))
% 0.20/0.51 -> [75] ~(rR1(iV21080, skolem_Y66(iV21080)) & cC6(skolem_Y66(iV21080)))
% 0.20/0.51
% 0.20/0.51 [75] BETA_NOT_AND : ~(rR1(iV21080, skolem_Y66(iV21080)) & cC6(skolem_Y66(iV21080)))
% 0.20/0.51 -> [76] ~rR1(iV21080, skolem_Y66(iV21080))
% 0.20/0.51 -> [77] ~cC6(skolem_Y66(iV21080))
% 0.20/0.51
% 0.20/0.51 [76] CLOSURE : ~rR1(iV21080, skolem_Y66(iV21080))
% 0.20/0.51
% 0.20/0.51 [77] Rewrite : ~cC6(skolem_Y66(iV21080))
% 0.20/0.51 -> [82] ~(~cC2(skolem_Y66(iV21080)) & cC4(skolem_Y66(iV21080)))
% 0.20/0.51
% 0.20/0.51 [82] BETA_NOT_AND : ~(~cC2(skolem_Y66(iV21080)) & cC4(skolem_Y66(iV21080)))
% 0.20/0.51 -> [83] ~~cC2(skolem_Y66(iV21080))
% 0.20/0.51 -> [84] ~cC4(skolem_Y66(iV21080))
% 0.20/0.51
% 0.20/0.51 [84] CLOSURE : ~cC4(skolem_Y66(iV21080))
% 0.20/0.51
% 0.20/0.51 [83] ALPHA_NOT_NOT : ~~cC2(skolem_Y66(iV21080))
% 0.20/0.51 -> [85] cC2(skolem_Y66(iV21080))
% 0.20/0.51
% 0.20/0.51 [85] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rR1(iV21080, Y6_6) & cC10(Y6_6)))
% 0.20/0.51 -> [89] ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 0.20/0.51
% 0.20/0.51 [89] BETA_NOT_AND : ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 0.20/0.51 -> [90] ~rR1(iV21080, iV21081)
% 0.20/0.51 -> [91] ~cC10(iV21081)
% 0.20/0.51
% 0.20/0.51 [90] CLOSURE : ~rR1(iV21080, iV21081)
% 0.20/0.51
% 0.20/0.51 [91] Rewrite : ~cC10(iV21081)
% 0.20/0.51 -> [92] ~(cC2(iV21081) & cC4(iV21081))
% 0.20/0.51
% 0.20/0.51 [92] BETA_NOT_AND : ~(cC2(iV21081) & cC4(iV21081))
% 0.20/0.51 -> [94] ~cC2(iV21081)
% 0.20/0.51 -> [95] ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [95] CLOSURE : ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [94] CLOSURE : ~cC2(iV21081)
% 0.20/0.51
% 0.20/0.51 [48] GAMMA_FORALL : ! [X11_11] : ((rR1(iV21080, X11_11) => ~cC6(X11_11)))
% 0.20/0.51 -> [53] (rR1(iV21080, iV21081) => ~cC6(iV21081))
% 0.20/0.51
% 0.20/0.51 [53] BETA_IMPLY : (rR1(iV21080, iV21081) => ~cC6(iV21081))
% 0.20/0.51 -> [54] ~rR1(iV21080, iV21081)
% 0.20/0.51 -> [55] ~cC6(iV21081)
% 0.20/0.51
% 0.20/0.51 [54] CLOSURE : ~rR1(iV21080, iV21081)
% 0.20/0.51
% 0.20/0.51 [55] Rewrite : ~cC6(iV21081)
% 0.20/0.51 -> [63] ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51
% 0.20/0.51 [63] BETA_NOT_AND : ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51 -> [65] ~~cC2(iV21081)
% 0.20/0.51 -> [66] ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [66] CLOSURE : ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [65] ALPHA_NOT_NOT : ~~cC2(iV21081)
% 0.20/0.51 -> [67] cC2(iV21081)
% 0.20/0.51
% 0.20/0.51 [67] GAMMA_NOT_EXISTS : ~? [Y9_9] : ((rR1(iV21080, Y9_9) & cC6(Y9_9)))
% 0.20/0.51 -> [72] ~(rR1(iV21080, iV21081) & cC6(iV21081))
% 0.20/0.51
% 0.20/0.51 [72] BETA_NOT_AND : ~(rR1(iV21080, iV21081) & cC6(iV21081))
% 0.20/0.51 -> [73] ~rR1(iV21080, iV21081)
% 0.20/0.51 -> [74] ~cC6(iV21081)
% 0.20/0.51
% 0.20/0.51 [73] CLOSURE : ~rR1(iV21080, iV21081)
% 0.20/0.51
% 0.20/0.51 [74] Rewrite : ~cC6(iV21081)
% 0.20/0.51 -> [78] ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51
% 0.20/0.51 [78] BETA_NOT_AND : ~(~cC2(iV21081) & cC4(iV21081))
% 0.20/0.51 -> [79] ~~cC2(iV21081)
% 0.20/0.51 -> [80] ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [80] CLOSURE : ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [79] ALPHA_NOT_NOT : ~~cC2(iV21081)
% 0.20/0.51 -> [81] cC2(iV21081)
% 0.20/0.51
% 0.20/0.51 [81] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rR1(iV21080, Y6_6) & cC10(Y6_6)))
% 0.20/0.51 -> [86] ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 0.20/0.51
% 0.20/0.51 [86] BETA_NOT_AND : ~(rR1(iV21080, iV21081) & cC10(iV21081))
% 0.20/0.51 -> [87] ~rR1(iV21080, iV21081)
% 0.20/0.51 -> [88] ~cC10(iV21081)
% 0.20/0.51
% 0.20/0.51 [87] CLOSURE : ~rR1(iV21080, iV21081)
% 0.20/0.51
% 0.20/0.51 [88] Rewrite : ~cC10(iV21081)
% 0.20/0.51 -> [93] ~(cC2(iV21081) & cC4(iV21081))
% 0.20/0.51
% 0.20/0.51 [93] BETA_NOT_AND : ~(cC2(iV21081) & cC4(iV21081))
% 0.20/0.51 -> [96] ~cC2(iV21081)
% 0.20/0.51 -> [97] ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 [96] CLOSURE : ~cC2(iV21081)
% 0.20/0.51
% 0.20/0.51 [97] CLOSURE : ~cC4(iV21081)
% 0.20/0.51
% 0.20/0.51 % SZS output end Proof for theBenchmark.p
% 0.20/0.51 [0.167766s][1][Res] 930 goroutines created
% 0.20/0.51 ==== Result ====
% 0.20/0.51 [0.167808s][1][Res] VALID
% 0.20/0.51 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------