TSTP Solution File: KRS130+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : KRS130+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n020.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 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS130+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Sep 1 09:38:15 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34 [DMT] DMT loaded with preskolemization
% 0.19/0.34 [EQ] equality loaded.
% 0.19/0.34 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.19/0.35 Start search
% 0.19/0.35 nb_step : 1 - limit : 9
% 0.19/0.35 Launch Gotab with destructive = true
% 0.19/0.39 % SZS output start Proof for theBenchmark.p
% 0.19/0.39 [0] ALPHA_AND : (! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))) & ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))) & ! [X5_5] : ((cNothing(X5_5) => ~? [Y6_6] : (rp(X5_5, Y6_6)))) & ! [X7_7] : ((cNothing(X7_7) => ? [Y08_8] : (rp(X7_7, Y08_8)))) & ~((! [X9_9] : ((cowlThing(X9_9) & ~cowlNothing(X9_9))) & ! [X10_10] : ((xsd_string(X10_10) <=> ~xsd_integer(X10_10)))) & ! [X11_11] : ((cNothing(X11_11) <=> cowlNothing(X11_11)))))
% 0.19/0.39 -> [1] ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3))), ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4))), ! [X5_5] : ((cNothing(X5_5) => ~? [Y6_6] : (rp(X5_5, Y6_6)))), ! [X7_7] : ((cNothing(X7_7) => ? [Y08_8] : (rp(X7_7, Y08_8)))), ~((! [X9_9] : ((cowlThing(X9_9) & ~cowlNothing(X9_9))) & ! [X10_10] : ((xsd_string(X10_10) <=> ~xsd_integer(X10_10)))) & ! [X11_11] : ((cNothing(X11_11) <=> cowlNothing(X11_11))))
% 0.19/0.39
% 0.19/0.39 [1] BETA_NOT_AND : ~((! [X9_9] : ((cowlThing(X9_9) & ~cowlNothing(X9_9))) & ! [X10_10] : ((xsd_string(X10_10) <=> ~xsd_integer(X10_10)))) & ! [X11_11] : ((cNothing(X11_11) <=> cowlNothing(X11_11))))
% 0.19/0.39 -> [2] ~(! [X9_9] : ((cowlThing(X9_9) & ~cowlNothing(X9_9))) & ! [X10_10] : ((xsd_string(X10_10) <=> ~xsd_integer(X10_10))))
% 0.19/0.39 -> [3] ~! [X11_11] : ((cNothing(X11_11) <=> cowlNothing(X11_11)))
% 0.19/0.39
% 0.19/0.39 [2] BETA_NOT_AND : ~(! [X9_9] : ((cowlThing(X9_9) & ~cowlNothing(X9_9))) & ! [X10_10] : ((xsd_string(X10_10) <=> ~xsd_integer(X10_10))))
% 0.19/0.39 -> [5] ~! [X9_9] : ((cowlThing(X9_9) & ~cowlNothing(X9_9)))
% 0.19/0.39 -> [6] ~! [X10_10] : ((xsd_string(X10_10) <=> ~xsd_integer(X10_10)))
% 0.19/0.39
% 0.19/0.39 [5] DELTA_NOT_FORALL : ~! [X9_9] : ((cowlThing(X9_9) & ~cowlNothing(X9_9)))
% 0.19/0.39 -> [12] ~(cowlThing(skolem_X99) & ~cowlNothing(skolem_X99))
% 0.19/0.39
% 0.19/0.39 [12] BETA_NOT_AND : ~(cowlThing(skolem_X99) & ~cowlNothing(skolem_X99))
% 0.19/0.39 -> [13] ~cowlThing(skolem_X99)
% 0.19/0.39 -> [14] ~~cowlNothing(skolem_X99)
% 0.19/0.39
% 0.19/0.39 [13] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 0.19/0.39 -> [25] (cowlThing(X3_4_0) & ~cowlNothing(X3_4_0))
% 0.19/0.39
% 0.19/0.39 [25] ALPHA_AND : (cowlThing(X3_4_0) & ~cowlNothing(X3_4_0))
% 0.19/0.39 -> [26] cowlThing(X3_4_0), ~cowlNothing(X3_4_0)
% 0.19/0.39
% 0.19/0.39 [26] CLOSURE : cowlThing(X3_4_0)
% 0.19/0.39
% 0.19/0.39 [14] ALPHA_NOT_NOT : ~~cowlNothing(skolem_X99)
% 0.19/0.39 -> [20] cowlNothing(skolem_X99)
% 0.19/0.39
% 0.19/0.39 [20] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 0.19/0.39 -> [23] (cowlThing(X3_3_0) & ~cowlNothing(X3_3_0))
% 0.19/0.39
% 0.19/0.39 [23] ALPHA_AND : (cowlThing(X3_3_0) & ~cowlNothing(X3_3_0))
% 0.19/0.39 -> [24] cowlThing(X3_3_0), ~cowlNothing(X3_3_0)
% 0.19/0.39
% 0.19/0.39 [24] CLOSURE : ~cowlNothing(X3_3_0)
% 0.19/0.39
% 0.19/0.39 [6] DELTA_NOT_FORALL : ~! [X10_10] : ((xsd_string(X10_10) <=> ~xsd_integer(X10_10)))
% 0.19/0.39 -> [9] ~(xsd_string(skolem_X1010) <=> ~xsd_integer(skolem_X1010))
% 0.19/0.39
% 0.19/0.39 [9] BETA_NOT_EQUIV : ~(xsd_string(skolem_X1010) <=> ~xsd_integer(skolem_X1010))
% 0.19/0.39 -> [10] ~xsd_string(skolem_X1010), ~xsd_integer(skolem_X1010)
% 0.19/0.39 -> [11] xsd_string(skolem_X1010), ~~xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [10] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 0.19/0.39 -> [18] (cowlThing(X3_2_0) & ~cowlNothing(X3_2_0))
% 0.19/0.39
% 0.19/0.39 [18] ALPHA_AND : (cowlThing(X3_2_0) & ~cowlNothing(X3_2_0))
% 0.19/0.39 -> [22] cowlThing(X3_2_0), ~cowlNothing(X3_2_0)
% 0.19/0.39
% 0.19/0.39 [22] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 0.19/0.39 -> [29] (xsd_string(skolem_X1010) <=> ~xsd_integer(skolem_X1010))
% 0.19/0.39
% 0.19/0.39 [29] BETA_EQUIV : (xsd_string(skolem_X1010) <=> ~xsd_integer(skolem_X1010))
% 0.19/0.39 -> [30] ~xsd_string(skolem_X1010), ~~xsd_integer(skolem_X1010)
% 0.19/0.39 -> [31] xsd_string(skolem_X1010), ~xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [31] CLOSURE : xsd_string(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [30] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1010)
% 0.19/0.39 -> [32] xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [32] CLOSURE : xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [11] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1010)
% 0.19/0.39 -> [15] xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [15] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 0.19/0.39 -> [27] (cowlThing(X3_5_0) & ~cowlNothing(X3_5_0))
% 0.19/0.39
% 0.19/0.39 [27] ALPHA_AND : (cowlThing(X3_5_0) & ~cowlNothing(X3_5_0))
% 0.19/0.39 -> [28] cowlThing(X3_5_0), ~cowlNothing(X3_5_0)
% 0.19/0.39
% 0.19/0.39 [28] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 0.19/0.39 -> [37] (xsd_string(skolem_X1010) <=> ~xsd_integer(skolem_X1010))
% 0.19/0.39
% 0.19/0.39 [37] BETA_EQUIV : (xsd_string(skolem_X1010) <=> ~xsd_integer(skolem_X1010))
% 0.19/0.39 -> [41] ~xsd_string(skolem_X1010), ~~xsd_integer(skolem_X1010)
% 0.19/0.39 -> [42] xsd_string(skolem_X1010), ~xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [42] CLOSURE : ~xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [41] ALPHA_NOT_NOT : ~~xsd_integer(skolem_X1010)
% 0.19/0.39 -> [50] xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [50] CLOSURE : ~~xsd_integer(skolem_X1010)
% 0.19/0.39
% 0.19/0.39 [3] DELTA_NOT_FORALL : ~! [X11_11] : ((cNothing(X11_11) <=> cowlNothing(X11_11)))
% 0.19/0.39 -> [4] ~(cNothing(skolem_X1111) <=> cowlNothing(skolem_X1111))
% 0.19/0.39
% 0.19/0.39 [4] BETA_NOT_EQUIV : ~(cNothing(skolem_X1111) <=> cowlNothing(skolem_X1111))
% 0.19/0.39 -> [7] ~cNothing(skolem_X1111), cowlNothing(skolem_X1111)
% 0.19/0.39 -> [8] cNothing(skolem_X1111), ~cowlNothing(skolem_X1111)
% 0.19/0.39
% 0.19/0.39 [7] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 0.19/0.39 -> [17] (cowlThing(X3_1_0) & ~cowlNothing(X3_1_0))
% 0.19/0.39
% 0.19/0.39 [17] ALPHA_AND : (cowlThing(X3_1_0) & ~cowlNothing(X3_1_0))
% 0.19/0.39 -> [21] cowlThing(X3_1_0), ~cowlNothing(X3_1_0)
% 0.19/0.39
% 0.19/0.39 [21] CLOSURE : ~cowlNothing(X3_1_0)
% 0.19/0.39
% 0.19/0.39 [8] GAMMA_FORALL : ! [X3_3] : ((cowlThing(X3_3) & ~cowlNothing(X3_3)))
% 0.19/0.39 -> [16] (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 0.19/0.39
% 0.19/0.39 [16] ALPHA_AND : (cowlThing(X3_0_0) & ~cowlNothing(X3_0_0))
% 0.19/0.39 -> [19] cowlThing(X3_0_0), ~cowlNothing(X3_0_0)
% 0.19/0.39
% 0.19/0.39 [19] GAMMA_FORALL : ! [X4_4] : ((xsd_string(X4_4) <=> ~xsd_integer(X4_4)))
% 0.19/0.39 -> [33] (xsd_string(X4_1_1) <=> ~xsd_integer(X4_1_1))
% 0.19/0.39
% 0.19/0.39 [33] BETA_EQUIV : (xsd_string(X4_1_1) <=> ~xsd_integer(X4_1_1))
% 0.19/0.39 -> [34] ~xsd_string(X4_1_1), ~~xsd_integer(X4_1_1)
% 0.19/0.39 -> [35] xsd_string(X4_1_1), ~xsd_integer(X4_1_1)
% 0.19/0.39
% 0.19/0.39 [35] GAMMA_FORALL : ! [X5_5] : ((cNothing(X5_5) => ~? [Y6_6] : (rp(X5_5, Y6_6))))
% 0.19/0.39 -> [38] (cNothing(skolem_X1111) => ~? [Y6_6] : (rp(skolem_X1111, Y6_6)))
% 0.19/0.39
% 0.19/0.39 [38] BETA_IMPLY : (cNothing(skolem_X1111) => ~? [Y6_6] : (rp(skolem_X1111, Y6_6)))
% 0.19/0.39 -> [39] ~cNothing(skolem_X1111)
% 0.19/0.39 -> [40] ~? [Y6_6] : (rp(skolem_X1111, Y6_6))
% 0.19/0.39
% 0.19/0.39 [39] CLOSURE : ~cNothing(skolem_X1111)
% 0.19/0.39
% 0.19/0.39 [40] GAMMA_FORALL : ! [X7_7] : ((cNothing(X7_7) => ? [Y08_8] : (rp(X7_7, Y08_8))))
% 0.19/0.39 -> [43] (cNothing(skolem_X1111) => ? [Y08_8] : (rp(skolem_X1111, Y08_8)))
% 0.19/0.39
% 0.19/0.39 [43] BETA_IMPLY : (cNothing(skolem_X1111) => ? [Y08_8] : (rp(skolem_X1111, Y08_8)))
% 0.19/0.39 -> [44] ~cNothing(skolem_X1111)
% 0.19/0.39 -> [45] ? [Y08_8] : (rp(skolem_X1111, Y08_8))
% 0.19/0.39
% 0.19/0.39 [44] CLOSURE : ~cNothing(skolem_X1111)
% 0.19/0.39
% 0.19/0.39 [55] CLOSURE : ~rp(skolem_X1111, skolem_Y088(skolem_X1111))
% 0.19/0.39
% 0.19/0.39 [34] ALPHA_NOT_NOT : ~~xsd_integer(X4_1_1)
% 0.19/0.39 -> [36] xsd_integer(X4_1_1)
% 0.19/0.39
% 0.19/0.39 [36] GAMMA_FORALL : ! [X5_5] : ((cNothing(X5_5) => ~? [Y6_6] : (rp(X5_5, Y6_6))))
% 0.19/0.39 -> [46] (cNothing(skolem_X1111) => ~? [Y6_6] : (rp(skolem_X1111, Y6_6)))
% 0.19/0.39
% 0.19/0.39 [46] BETA_IMPLY : (cNothing(skolem_X1111) => ~? [Y6_6] : (rp(skolem_X1111, Y6_6)))
% 0.19/0.39 -> [47] ~cNothing(skolem_X1111)
% 0.19/0.39 -> [48] ~? [Y6_6] : (rp(skolem_X1111, Y6_6))
% 0.19/0.39
% 0.19/0.39 [47] CLOSURE : ~cNothing(skolem_X1111)
% 0.19/0.39
% 0.19/0.39 [48] GAMMA_FORALL : ! [X7_7] : ((cNothing(X7_7) => ? [Y08_8] : (rp(X7_7, Y08_8))))
% 0.19/0.39 -> [51] (cNothing(skolem_X1111) => ? [Y08_8] : (rp(skolem_X1111, Y08_8)))
% 0.19/0.39
% 0.19/0.39 [51] BETA_IMPLY : (cNothing(skolem_X1111) => ? [Y08_8] : (rp(skolem_X1111, Y08_8)))
% 0.19/0.39 -> [52] ~cNothing(skolem_X1111)
% 0.19/0.39 -> [53] ? [Y08_8] : (rp(skolem_X1111, Y08_8))
% 0.19/0.39
% 0.19/0.39 [52] CLOSURE : ~cNothing(skolem_X1111)
% 0.19/0.39
% 0.19/0.39 [56] CLOSURE : ~rp(skolem_X1111, skolem_Y088(skolem_X1111))
% 0.19/0.39
% 0.19/0.39 % SZS output end Proof for theBenchmark.p
% 0.19/0.39 [0.048506s][1][Res] 229 goroutines created
% 0.19/0.39 ==== Result ====
% 0.19/0.39 [0.048542s][1][Res] VALID
% 0.19/0.39 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------