TSTP Solution File: KRS131+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS131+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n025.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 17:33:17 EDT 2022
% Result : Theorem 1.59s 0.59s
% Output : Proof 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS131+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Sep 1 09:46:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 [DMT] DMT loaded with preskolemization
% 0.14/0.35 [EQ] equality loaded.
% 0.14/0.35 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.35 Start search
% 0.14/0.35 nb_step : 1 - limit : 13
% 0.14/0.35 Launch Gotab with destructive = true
% 1.59/0.58 % SZS output start Proof for theBenchmark.p
% 1.59/0.58 [0] ALPHA_AND : (! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))) & ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))) & ! [X7_7] : ((cNothing(X7_7) => ~? [Y8_8] : (rp(X7_7, Y8_8)))) & ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10)))) & ~((! [X13_13] : ((cowlThing(X13_13) & ~cowlNothing(X13_13))) & ! [X14_14] : ((xsd_string(X14_14) <=> ~xsd_integer(X14_14)))) & ! [X15_15] : ((cnotA(X15_15) <=> ~cA(X15_15)))))
% 1.59/0.58 -> [1] ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))), ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))), ! [X7_7] : ((cNothing(X7_7) => ~? [Y8_8] : (rp(X7_7, Y8_8)))), ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10)))), ~((! [X13_13] : ((cowlThing(X13_13) & ~cowlNothing(X13_13))) & ! [X14_14] : ((xsd_string(X14_14) <=> ~xsd_integer(X14_14)))) & ! [X15_15] : ((cnotA(X15_15) <=> ~cA(X15_15))))
% 1.59/0.58
% 1.59/0.58 [1] BETA_NOT_AND : ~((! [X13_13] : ((cowlThing(X13_13) & ~cowlNothing(X13_13))) & ! [X14_14] : ((xsd_string(X14_14) <=> ~xsd_integer(X14_14)))) & ! [X15_15] : ((cnotA(X15_15) <=> ~cA(X15_15))))
% 1.59/0.58 -> [2] ~(! [X13_13] : ((cowlThing(X13_13) & ~cowlNothing(X13_13))) & ! [X14_14] : ((xsd_string(X14_14) <=> ~xsd_integer(X14_14))))
% 1.59/0.58 -> [3] ~! [X15_15] : ((cnotA(X15_15) <=> ~cA(X15_15)))
% 1.59/0.58
% 1.59/0.58 [2] BETA_NOT_AND : ~(! [X13_13] : ((cowlThing(X13_13) & ~cowlNothing(X13_13))) & ! [X14_14] : ((xsd_string(X14_14) <=> ~xsd_integer(X14_14))))
% 1.59/0.58 -> [5] ~! [X13_13] : ((cowlThing(X13_13) & ~cowlNothing(X13_13)))
% 1.59/0.58 -> [6] ~! [X14_14] : ((xsd_string(X14_14) <=> ~xsd_integer(X14_14)))
% 1.59/0.58
% 1.59/0.58 [5] DELTA_NOT_FORALL : ~! [X13_13] : ((cowlThing(X13_13) & ~cowlNothing(X13_13)))
% 1.59/0.58 -> [12] ~(cowlThing(skolem_X1313) & ~cowlNothing(skolem_X1313))
% 1.59/0.58
% 1.59/0.58 [12] BETA_NOT_AND : ~(cowlThing(skolem_X1313) & ~cowlNothing(skolem_X1313))
% 1.59/0.58 -> [13] ~cowlThing(skolem_X1313)
% 1.59/0.58 -> [14] ~~cowlNothing(skolem_X1313)
% 1.59/0.58
% 1.59/0.58 [13] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.59/0.58 -> [20] (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.59/0.58
% 1.59/0.58 [20] ALPHA_AND : (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 1.59/0.58 -> [21] cowlThing(X3_0_0), ~cowlNothing(X3_0_0)
% 1.59/0.58
% 1.59/0.58 [21] CLOSURE : cowlThing(X3_0_0)
% 1.59/0.58
% 1.59/0.58 [14] ALPHA_NOT_NOT : ~~cowlNothing(skolem_X1313)
% 1.59/0.58 -> [17] cowlNothing(skolem_X1313)
% 1.59/0.58
% 1.59/0.58 [17] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.59/0.58 -> [24] (cowlThing(X3_2_0) & ~cowlNothing(X3_2_0))
% 1.59/0.58
% 1.59/0.58 [24] ALPHA_AND : (cowlThing(X3_2_0) & ~cowlNothing(X3_2_0))
% 1.59/0.58 -> [26] cowlThing(X3_2_0), ~cowlNothing(X3_2_0)
% 1.59/0.58
% 1.59/0.58 [26] CLOSURE : ~cowlNothing(X3_2_0)
% 1.59/0.58
% 1.59/0.58 [6] DELTA_NOT_FORALL : ~! [X14_14] : ((xsd_string(X14_14) <=> ~xsd_integer(X14_14)))
% 1.59/0.58 -> [9] ~(xsd_string(skolem_X1414) <=> ~xsd_integer(skolem_X1414))
% 1.59/0.58
% 1.59/0.58 [9] BETA_NOT_EQUIV : ~(xsd_string(skolem_X1414) <=> ~xsd_integer(skolem_X1414))
% 1.59/0.58 -> [10] ~xsd_string(skolem_X1414), ~xsd_integer(skolem_X1414)
% 1.59/0.58 -> [11] xsd_string(skolem_X1414), ~~xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [10] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.59/0.58 -> [22] (cowlThing(X3_1_0) & ~cowlNothing(X3_1_0))
% 1.59/0.58
% 1.59/0.58 [22] ALPHA_AND : (cowlThing(X3_1_0) & ~cowlNothing(X3_1_0))
% 1.59/0.58 -> [23] cowlThing(X3_1_0), ~cowlNothing(X3_1_0)
% 1.59/0.58
% 1.59/0.58 [23] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.59/0.58 -> [36] (xsd_string(skolem_X1414) <=> ~xsd_integer(skolem_X1414))
% 1.59/0.58
% 1.59/0.58 [36] BETA_EQUIV : (xsd_string(skolem_X1414) <=> ~xsd_integer(skolem_X1414))
% 1.59/0.58 -> [37] ~xsd_string(skolem_X1414), ~~xsd_integer(skolem_X1414)
% 1.59/0.58 -> [38] xsd_string(skolem_X1414), ~xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [38] CLOSURE : xsd_string(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [37] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1414)
% 1.59/0.58 -> [39] xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [39] CLOSURE : xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [11] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1414)
% 1.59/0.58 -> [19] xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [19] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.59/0.58 -> [32] (cowlThing(X3_4_0) & ~cowlNothing(X3_4_0))
% 1.59/0.58
% 1.59/0.58 [32] ALPHA_AND : (cowlThing(X3_4_0) & ~cowlNothing(X3_4_0))
% 1.59/0.58 -> [33] cowlThing(X3_4_0), ~cowlNothing(X3_4_0)
% 1.59/0.58
% 1.59/0.58 [33] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.59/0.58 -> [46] (xsd_string(skolem_X1414) <=> ~xsd_integer(skolem_X1414))
% 1.59/0.58
% 1.59/0.58 [46] BETA_EQUIV : (xsd_string(skolem_X1414) <=> ~xsd_integer(skolem_X1414))
% 1.59/0.58 -> [47] ~xsd_string(skolem_X1414), ~~xsd_integer(skolem_X1414)
% 1.59/0.58 -> [48] xsd_string(skolem_X1414), ~xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [48] CLOSURE : ~xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [47] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1414)
% 1.59/0.58 -> [51] xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [51] CLOSURE : ~~xsd_integer(skolem_X1414)
% 1.59/0.58
% 1.59/0.58 [3] DELTA_NOT_FORALL : ~! [X15_15] : ((cnotA(X15_15) <=> ~cA(X15_15)))
% 1.59/0.58 -> [4] ~(cnotA(skolem_X1515) <=> ~cA(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [4] BETA_NOT_EQUIV : ~(cnotA(skolem_X1515) <=> ~cA(skolem_X1515))
% 1.59/0.58 -> [7] ~cnotA(skolem_X1515), ~cA(skolem_X1515)
% 1.59/0.58 -> [8] cnotA(skolem_X1515), ~~cA(skolem_X1515)
% 1.59/0.58
% 1.59/0.58 [7] Rewrite : ~cnotA(skolem_X1515)
% 1.59/0.58 -> [18] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) => cNothing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [18] Rewrite : ~cA(skolem_X1515)
% 1.59/0.58 -> [25] ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58
% 1.59/0.58 [25] ALPHA_NOT_IMPLY : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) => cNothing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [28] rq(skolem_X1515, skolem_Y1212(skolem_X1515)), ~cNothing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [28] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.59/0.58 -> [30] (cowlThing(skolem_Y1212(skolem_X1515)) & ~cowlNothing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [30] ALPHA_AND : (cowlThing(skolem_Y1212(skolem_X1515)) & ~cowlNothing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [31] cowlThing(skolem_Y1212(skolem_X1515)), ~cowlNothing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [31] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.59/0.58 -> [40] (xsd_string(X4_1_1) <=> ~xsd_integer(X4_1_1))
% 1.59/0.58
% 1.59/0.58 [40] BETA_EQUIV : (xsd_string(X4_1_1) <=> ~xsd_integer(X4_1_1))
% 1.59/0.58 -> [41] ~xsd_string(X4_1_1), ~~xsd_integer(X4_1_1)
% 1.59/0.58 -> [42] xsd_string(X4_1_1), ~xsd_integer(X4_1_1)
% 1.59/0.58
% 1.59/0.58 [42] GAMMA_FORALL : ! [X7_7] : ((cNothing(X7_7) => ~? [Y8_8] : (rp(X7_7, Y8_8))))
% 1.59/0.58 -> [52] (cNothing(X7_0_2) => ~? [Y8_8] : (rp(X7_0_2, Y8_8)))
% 1.59/0.58
% 1.59/0.58 [52] BETA_IMPLY : (cNothing(X7_0_2) => ~? [Y8_8] : (rp(X7_0_2, Y8_8)))
% 1.59/0.58 -> [53] ~cNothing(X7_0_2)
% 1.59/0.58 -> [54] ~? [Y8_8] : (rp(X7_0_2, Y8_8))
% 1.59/0.58
% 1.59/0.58 [54] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.58 -> [56] (cNothing(X9_0_3) => ? [Y010_10] : (rp(X9_0_3, Y010_10)))
% 1.59/0.58
% 1.59/0.58 [56] BETA_IMPLY : (cNothing(X9_0_3) => ? [Y010_10] : (rp(X9_0_3, Y010_10)))
% 1.59/0.58 -> [59] ~cNothing(X9_0_3)
% 1.59/0.58 -> [60] ? [Y010_10] : (rp(X9_0_3, Y010_10))
% 1.59/0.58
% 1.59/0.58 [59] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58 -> [80] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [80] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [83] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58 -> [84] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [83] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [84] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [60] DELTA_EXISTS : ? [Y010_10] : (rp(X9_0_3, Y010_10))
% 1.59/0.58 -> [61] rp(X9_0_3, skolem_Y01010(X9_0_3))
% 1.59/0.58
% 1.59/0.58 [61] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58 -> [107] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [107] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [108] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58 -> [109] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [108] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [109] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [53] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.58 -> [72] (cNothing(X9_2_3) => ? [Y010_10] : (rp(X9_2_3, Y010_10)))
% 1.59/0.58
% 1.59/0.58 [72] BETA_IMPLY : (cNothing(X9_2_3) => ? [Y010_10] : (rp(X9_2_3, Y010_10)))
% 1.59/0.58 -> [73] ~cNothing(X9_2_3)
% 1.59/0.58 -> [74] ? [Y010_10] : (rp(X9_2_3, Y010_10))
% 1.59/0.58
% 1.59/0.58 [73] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58 -> [94] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [94] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [96] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58 -> [97] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [96] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [97] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [74] DELTA_EXISTS : ? [Y010_10] : (rp(X9_2_3, Y010_10))
% 1.59/0.58 -> [79] rp(X9_2_3, skolem_Y01010(X9_2_3))
% 1.59/0.58
% 1.59/0.58 [79] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58 -> [110] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [110] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [111] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58 -> [112] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [111] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [112] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [41] ALPHA_NOT_NOT : ~~xsd_integer(X4_1_1)
% 1.59/0.58 -> [49] xsd_integer(X4_1_1)
% 1.59/0.58
% 1.59/0.58 [49] GAMMA_FORALL : ! [X7_7] : ((cNothing(X7_7) => ~? [Y8_8] : (rp(X7_7, Y8_8))))
% 1.59/0.58 -> [66] (cNothing(X7_2_2) => ~? [Y8_8] : (rp(X7_2_2, Y8_8)))
% 1.59/0.58
% 1.59/0.58 [66] BETA_IMPLY : (cNothing(X7_2_2) => ~? [Y8_8] : (rp(X7_2_2, Y8_8)))
% 1.59/0.58 -> [67] ~cNothing(X7_2_2)
% 1.59/0.58 -> [68] ~? [Y8_8] : (rp(X7_2_2, Y8_8))
% 1.59/0.58
% 1.59/0.58 [67] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.58 -> [95] (cNothing(X9_6_3) => ? [Y010_10] : (rp(X9_6_3, Y010_10)))
% 1.59/0.58
% 1.59/0.58 [95] BETA_IMPLY : (cNothing(X9_6_3) => ? [Y010_10] : (rp(X9_6_3, Y010_10)))
% 1.59/0.58 -> [98] ~cNothing(X9_6_3)
% 1.59/0.58 -> [99] ? [Y010_10] : (rp(X9_6_3, Y010_10))
% 1.59/0.58
% 1.59/0.58 [99] DELTA_EXISTS : ? [Y010_10] : (rp(X9_6_3, Y010_10))
% 1.59/0.58 -> [100] rp(X9_6_3, skolem_Y01010(X9_6_3))
% 1.59/0.58
% 1.59/0.58 [100] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58 -> [116] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [116] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [117] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58 -> [118] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [118] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [117] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [98] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58 -> [135] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.58 [135] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58 -> [136] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58 -> [137] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [137] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [136] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.58
% 1.59/0.58 [68] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.58 -> [75] (cNothing(X9_3_3) => ? [Y010_10] : (rp(X9_3_3, Y010_10)))
% 1.59/0.58
% 1.59/0.58 [75] BETA_IMPLY : (cNothing(X9_3_3) => ? [Y010_10] : (rp(X9_3_3, Y010_10)))
% 1.59/0.58 -> [76] ~cNothing(X9_3_3)
% 1.59/0.58 -> [77] ? [Y010_10] : (rp(X9_3_3, Y010_10))
% 1.59/0.58
% 1.59/0.58 [76] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.58 -> [119] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.58
% 1.59/0.59 [119] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.59 -> [120] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.59 -> [121] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [120] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [121] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [77] DELTA_EXISTS : ? [Y010_10] : (rp(X9_3_3, Y010_10))
% 1.59/0.59 -> [92] rp(X9_3_3, skolem_Y01010(X9_3_3))
% 1.59/0.59
% 1.59/0.59 [92] GAMMA_NOT_EXISTS : ~? [Y6_6] : ((rq(skolem_X1515, Y6_6) & cowlThing(Y6_6)))
% 1.59/0.59 -> [132] ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [132] BETA_NOT_AND : ~(rq(skolem_X1515, skolem_Y1212(skolem_X1515)) & cowlThing(skolem_Y1212(skolem_X1515)))
% 1.59/0.59 -> [133] ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.59 -> [134] ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [134] CLOSURE : ~cowlThing(skolem_Y1212(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [133] CLOSURE : ~rq(skolem_X1515, skolem_Y1212(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [8] Rewrite : cnotA(skolem_X1515)
% 1.59/0.59 -> [15] ! [Y12_12] : ((rq(skolem_X1515, Y12_12) => cNothing(Y12_12)))
% 1.59/0.59
% 1.59/0.59 [15] ALPHA_NOT_NOT : ~~cA(skolem_X1515)
% 1.59/0.59 -> [16] cA(skolem_X1515)
% 1.59/0.59
% 1.59/0.59 [16] Rewrite : cA(skolem_X1515)
% 1.59/0.59 -> [27] (rq(skolem_X1515, skolem_Y66(skolem_X1515)) & cowlThing(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [27] ALPHA_AND : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) & cowlThing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [29] rq(skolem_X1515, skolem_Y66(skolem_X1515)), cowlThing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [29] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 1.59/0.59 -> [34] (cowlThing(X3_5_0) & ~cowlNothing(X3_5_0))
% 1.59/0.59
% 1.59/0.59 [34] ALPHA_AND : (cowlThing(X3_5_0) & ~cowlNothing(X3_5_0))
% 1.59/0.59 -> [35] cowlThing(X3_5_0), ~cowlNothing(X3_5_0)
% 1.59/0.59
% 1.59/0.59 [35] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 1.59/0.59 -> [43] (xsd_string(X4_2_1) <=> ~xsd_integer(X4_2_1))
% 1.59/0.59
% 1.59/0.59 [43] BETA_EQUIV : (xsd_string(X4_2_1) <=> ~xsd_integer(X4_2_1))
% 1.59/0.59 -> [44] ~xsd_string(X4_2_1), ~~xsd_integer(X4_2_1)
% 1.59/0.59 -> [45] xsd_string(X4_2_1), ~xsd_integer(X4_2_1)
% 1.59/0.59
% 1.59/0.59 [44] ALPHA_NOT_NOT : ~~xsd_integer(X4_2_1)
% 1.59/0.59 -> [50] xsd_integer(X4_2_1)
% 1.59/0.59
% 1.59/0.59 [50] GAMMA_FORALL : ! [X7_7] : ((cNothing(X7_7) => ~? [Y8_8] : (rp(X7_7, Y8_8))))
% 1.59/0.59 -> [69] (cNothing(skolem_Y66(skolem_X1515)) => ~? [Y8_8] : (rp(skolem_Y66(skolem_X1515), Y8_8)))
% 1.59/0.59
% 1.59/0.59 [69] BETA_IMPLY : (cNothing(skolem_Y66(skolem_X1515)) => ~? [Y8_8] : (rp(skolem_Y66(skolem_X1515), Y8_8)))
% 1.59/0.59 -> [70] ~cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [71] ~? [Y8_8] : (rp(skolem_Y66(skolem_X1515), Y8_8))
% 1.59/0.59
% 1.59/0.59 [70] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.59 -> [128] (cNothing(X9_7_3) => ? [Y010_10] : (rp(X9_7_3, Y010_10)))
% 1.59/0.59
% 1.59/0.59 [128] BETA_IMPLY : (cNothing(X9_7_3) => ? [Y010_10] : (rp(X9_7_3, Y010_10)))
% 1.59/0.59 -> [129] ~cNothing(X9_7_3)
% 1.59/0.59 -> [130] ? [Y010_10] : (rp(X9_7_3, Y010_10))
% 1.59/0.59
% 1.59/0.59 [130] DELTA_EXISTS : ? [Y010_10] : (rp(X9_7_3, Y010_10))
% 1.59/0.59 -> [131] rp(X9_7_3, skolem_Y01010(X9_7_3))
% 1.59/0.59
% 1.59/0.59 [131] GAMMA_FORALL : ! [Y12_12] : ((rq(skolem_X1515, Y12_12) => cNothing(Y12_12)))
% 1.59/0.59 -> [138] (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [138] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [139] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [140] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [140] CLOSURE : cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [139] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [129] GAMMA_FORALL : ! [Y12_12] : ((rq(skolem_X1515, Y12_12) => cNothing(Y12_12)))
% 1.59/0.59 -> [143] (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [143] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [144] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [145] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [144] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [145] CLOSURE : cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [71] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.59 -> [78] (cNothing(skolem_Y66(skolem_X1515)) => ? [Y010_10] : (rp(skolem_Y66(skolem_X1515), Y010_10)))
% 1.59/0.59
% 1.59/0.59 [78] BETA_IMPLY : (cNothing(skolem_Y66(skolem_X1515)) => ? [Y010_10] : (rp(skolem_Y66(skolem_X1515), Y010_10)))
% 1.59/0.59 -> [81] ~cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [82] ? [Y010_10] : (rp(skolem_Y66(skolem_X1515), Y010_10))
% 1.59/0.59
% 1.59/0.59 [81] GAMMA_FORALL : ! [Y12_12] : ((rq(skolem_X1515, Y12_12) => cNothing(Y12_12)))
% 1.59/0.59 -> [104] (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [104] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [105] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [106] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [105] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [106] CLOSURE : cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [125] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [146] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [147] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [147] GAMMA_NOT_EXISTS : ~? [Y8_8] : (rp(skolem_Y66(skolem_X1515), Y8_8))
% 1.59/0.59 -> [150] ~rp(skolem_Y66(skolem_X1515), Y8_2_5)
% 1.59/0.59
% 1.59/0.59 [150] CLOSURE : ~rp(skolem_Y66(skolem_X1515), Y8_2_5)
% 1.59/0.59
% 1.59/0.59 [146] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [45] GAMMA_FORALL : ! [X7_7] : ((cNothing(X7_7) => ~? [Y8_8] : (rp(X7_7, Y8_8))))
% 1.59/0.59 -> [55] (cNothing(skolem_Y66(skolem_X1515)) => ~? [Y8_8] : (rp(skolem_Y66(skolem_X1515), Y8_8)))
% 1.59/0.59
% 1.59/0.59 [55] BETA_IMPLY : (cNothing(skolem_Y66(skolem_X1515)) => ~? [Y8_8] : (rp(skolem_Y66(skolem_X1515), Y8_8)))
% 1.59/0.59 -> [57] ~cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [58] ~? [Y8_8] : (rp(skolem_Y66(skolem_X1515), Y8_8))
% 1.59/0.59
% 1.59/0.59 [57] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.59 -> [85] (cNothing(X9_5_3) => ? [Y010_10] : (rp(X9_5_3, Y010_10)))
% 1.59/0.59
% 1.59/0.59 [85] BETA_IMPLY : (cNothing(X9_5_3) => ? [Y010_10] : (rp(X9_5_3, Y010_10)))
% 1.59/0.59 -> [86] ~cNothing(X9_5_3)
% 1.59/0.59 -> [87] ? [Y010_10] : (rp(X9_5_3, Y010_10))
% 1.59/0.59
% 1.59/0.59 [86] GAMMA_FORALL : ! [Y12_12] : ((rq(skolem_X1515, Y12_12) => cNothing(Y12_12)))
% 1.59/0.59 -> [113] (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [113] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [114] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [115] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [114] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [115] CLOSURE : cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [87] DELTA_EXISTS : ? [Y010_10] : (rp(X9_5_3, Y010_10))
% 1.59/0.59 -> [91] rp(X9_5_3, skolem_Y01010(X9_5_3))
% 1.59/0.59
% 1.59/0.59 [91] GAMMA_FORALL : ! [Y12_12] : ((rq(skolem_X1515, Y12_12) => cNothing(Y12_12)))
% 1.59/0.59 -> [122] (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [122] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [123] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [124] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [124] CLOSURE : cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [123] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [58] GAMMA_FORALL : ! [X9_9] : ((cNothing(X9_9) => ? [Y010_10] : (rp(X9_9, Y010_10))))
% 1.59/0.59 -> [62] (cNothing(skolem_Y66(skolem_X1515)) => ? [Y010_10] : (rp(skolem_Y66(skolem_X1515), Y010_10)))
% 1.59/0.59
% 1.59/0.59 [62] BETA_IMPLY : (cNothing(skolem_Y66(skolem_X1515)) => ? [Y010_10] : (rp(skolem_Y66(skolem_X1515), Y010_10)))
% 1.59/0.59 -> [63] ~cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [64] ? [Y010_10] : (rp(skolem_Y66(skolem_X1515), Y010_10))
% 1.59/0.59
% 1.59/0.59 [63] GAMMA_FORALL : ! [Y12_12] : ((rq(skolem_X1515, Y12_12) => cNothing(Y12_12)))
% 1.59/0.59 -> [88] (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 [88] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [89] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [90] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [89] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [90] CLOSURE : cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [101] BETA_IMPLY : (rq(skolem_X1515, skolem_Y66(skolem_X1515)) => cNothing(skolem_Y66(skolem_X1515)))
% 1.59/0.59 -> [148] ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59 -> [149] cNothing(skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [148] CLOSURE : ~rq(skolem_X1515, skolem_Y66(skolem_X1515))
% 1.59/0.59
% 1.59/0.59 [151] CLOSURE : ~rp(skolem_Y66(skolem_X1515), skolem_Y01010(skolem_Y66(skolem_X1515)))
% 1.59/0.59
% 1.59/0.59 % SZS output end Proof for theBenchmark.p
% 1.59/0.59 [0.234407s][1][Res] 1440 goroutines created
% 1.59/0.59 ==== Result ====
% 1.59/0.59 [0.234433s][1][Res] VALID
% 1.59/0.59 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------