TSTP Solution File: SYN918+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n021.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 : Thu Sep 29 22:24:57 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n021.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 : Mon Sep 5 09:26:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 [DMT] DMT loaded with preskolemization
% 0.12/0.35 [EQ] equality loaded.
% 0.12/0.35 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 6
% 0.12/0.35 Launch Gotab with destructive = true
% 0.21/0.40 % SZS output start Proof for theBenchmark.p
% 0.21/0.40 [0] ALPHA_NOT_IMPLY : ~((! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))) => (! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))))
% 0.21/0.40 -> [1] (! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))), ~(! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))
% 0.21/0.40
% 0.21/0.40 [1] ALPHA_AND : (! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))) & (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9)))))
% 0.21/0.40 -> [2] ! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))), (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))
% 0.21/0.40
% 0.21/0.40 [2] ALPHA_NOT_IMPLY : ~(! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))) => ? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11))))
% 0.21/0.40 -> [3] ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10))), ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 0.21/0.40
% 0.21/0.40 [3] BETA_OR : (! [W8_8] : ((f(W8_8) => g(W8_8))) | ! [Z9_9] : ((f(Z9_9) => h(Z9_9))))
% 0.21/0.40 -> [4] ! [W8_8] : ((f(W8_8) => g(W8_8)))
% 0.21/0.40 -> [5] ! [Z9_9] : ((f(Z9_9) => h(Z9_9)))
% 0.21/0.40
% 0.21/0.40 [4] GAMMA_FORALL : ! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))))
% 0.21/0.40 -> [6] (((f(X6_0_0) & g(X6_0_0)) => h(X6_0_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 0.21/0.40
% 0.21/0.40 [6] BETA_IMPLY : (((f(X6_0_0) & g(X6_0_0)) => h(X6_0_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 0.21/0.40 -> [8] ~((f(X6_0_0) & g(X6_0_0)) => h(X6_0_0))
% 0.21/0.40 -> [9] ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 0.21/0.40
% 0.21/0.40 [8] ALPHA_NOT_IMPLY : ~((f(R10_2_1) & g(R10_2_1)) => h(R10_2_1))
% 0.21/0.40 -> [12] (f(R10_2_1) & g(R10_2_1)), ~h(R10_2_1)
% 0.21/0.40
% 0.21/0.40 [12] ALPHA_AND : (f(R10_2_1) & g(R10_2_1))
% 0.21/0.40 -> [18] f(R10_2_1), g(R10_2_1)
% 0.21/0.40
% 0.21/0.40 [18] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 0.21/0.40 -> [36] ((f(R10_2_1) & h(R10_2_1)) => g(R10_2_1))
% 0.21/0.40
% 0.21/0.40 [36] BETA_IMPLY : ((f(R10_2_1) & h(R10_2_1)) => g(R10_2_1))
% 0.21/0.40 -> [37] ~(f(R10_2_1) & h(R10_2_1))
% 0.21/0.40 -> [38] g(R10_2_1)
% 0.21/0.40
% 0.21/0.40 [38] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 0.21/0.40 -> [56] ~((f(V11_2_2) & g(V11_2_2)) & ~h(V11_2_2))
% 0.21/0.40
% 0.21/0.40 [56] BETA_NOT_AND : ~((f(V11_2_2) & g(V11_2_2)) & ~h(V11_2_2))
% 0.21/0.40 -> [57] ~(f(V11_2_2) & g(V11_2_2))
% 0.21/0.40 -> [58] ~~h(V11_2_2)
% 0.21/0.40
% 0.21/0.40 [58] ALPHA_NOT_NOT : ~~h(V11_2_2)
% 0.21/0.40 -> [63] h(V11_2_2)
% 0.21/0.40
% 0.21/0.40 [63] CLOSURE : h(V11_2_2)
% 0.21/0.40
% 0.21/0.40 [57] BETA_NOT_AND : ~(f(V11_2_2) & g(V11_2_2))
% 0.21/0.40 -> [61] ~f(V11_2_2)
% 0.21/0.40 -> [62] ~g(V11_2_2)
% 0.21/0.40
% 0.21/0.40 [62] CLOSURE : ~g(V11_2_2)
% 0.21/0.40
% 0.21/0.40 [61] CLOSURE : ~f(V11_2_2)
% 0.21/0.40
% 0.21/0.40 [37] BETA_NOT_AND : ~(f(R10_2_1) & h(R10_2_1))
% 0.21/0.40 -> [47] ~f(R10_2_1)
% 0.21/0.40 -> [48] ~h(R10_2_1)
% 0.21/0.40
% 0.21/0.40 [47] CLOSURE : ~f(R10_2_1)
% 0.21/0.40
% 0.21/0.40 [48] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 0.21/0.40 -> [64] ~((f(V11_3_2) & g(V11_3_2)) & ~h(V11_3_2))
% 0.21/0.40
% 0.21/0.40 [64] BETA_NOT_AND : ~((f(V11_3_2) & g(V11_3_2)) & ~h(V11_3_2))
% 0.21/0.40 -> [65] ~(f(V11_3_2) & g(V11_3_2))
% 0.21/0.40 -> [66] ~~h(V11_3_2)
% 0.21/0.40
% 0.21/0.40 [66] ALPHA_NOT_NOT : ~~h(V11_3_2)
% 0.21/0.40 -> [72] h(V11_3_2)
% 0.21/0.40
% 0.21/0.40 [72] CLOSURE : h(V11_3_2)
% 0.21/0.40
% 0.21/0.40 [65] BETA_NOT_AND : ~(f(V11_3_2) & g(V11_3_2))
% 0.21/0.40 -> [67] ~f(V11_3_2)
% 0.21/0.40 -> [68] ~g(V11_3_2)
% 0.21/0.40
% 0.21/0.40 [67] CLOSURE : ~f(V11_3_2)
% 0.21/0.40
% 0.21/0.40 [68] CLOSURE : ~g(V11_3_2)
% 0.21/0.40
% 0.21/0.40 [9] DELTA_EXISTS : ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 0.21/0.40 -> [13] (f(skolem_Y77) & ~g(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [13] ALPHA_AND : (f(skolem_Y77) & ~g(skolem_Y77))
% 0.21/0.40 -> [17] f(skolem_Y77), ~g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [17] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 0.21/0.40 -> [21] ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [21] BETA_IMPLY : ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 0.21/0.40 -> [24] ~(f(skolem_Y77) & h(skolem_Y77))
% 0.21/0.40 -> [25] g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [25] CLOSURE : g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [24] BETA_NOT_AND : ~(f(skolem_Y77) & h(skolem_Y77))
% 0.21/0.40 -> [26] ~f(skolem_Y77)
% 0.21/0.40 -> [27] ~h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [26] CLOSURE : ~f(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [27] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 0.21/0.40 -> [30] ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [30] BETA_NOT_AND : ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 0.21/0.40 -> [32] ~(f(skolem_Y77) & g(skolem_Y77))
% 0.21/0.40 -> [33] ~~h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [32] BETA_NOT_AND : ~(f(skolem_Y77) & g(skolem_Y77))
% 0.21/0.40 -> [39] ~f(skolem_Y77)
% 0.21/0.40 -> [40] ~g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [39] CLOSURE : ~f(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [40] GAMMA_FORALL : ! [W8_8] : ((f(W8_8) => g(W8_8)))
% 0.21/0.40 -> [45] (f(skolem_Y77) => g(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [45] BETA_IMPLY : (f(skolem_Y77) => g(skolem_Y77))
% 0.21/0.40 -> [49] ~f(skolem_Y77)
% 0.21/0.40 -> [50] g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [49] CLOSURE : ~f(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [50] CLOSURE : g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [43] CLOSURE : h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [5] GAMMA_FORALL : ! [X6_6] : ((((f(X6_6) & g(X6_6)) => h(X6_6)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))))
% 0.21/0.40 -> [7] (((f(X6_1_0) & g(X6_1_0)) => h(X6_1_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 0.21/0.40
% 0.21/0.40 [7] BETA_IMPLY : (((f(X6_1_0) & g(X6_1_0)) => h(X6_1_0)) => ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7))))
% 0.21/0.40 -> [10] ~((f(X6_1_0) & g(X6_1_0)) => h(X6_1_0))
% 0.21/0.40 -> [11] ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 0.21/0.40
% 0.21/0.40 [10] ALPHA_NOT_IMPLY : ~((f(R10_3_1) & g(R10_3_1)) => h(R10_3_1))
% 0.21/0.40 -> [15] (f(R10_3_1) & g(R10_3_1)), ~h(R10_3_1)
% 0.21/0.40
% 0.21/0.40 [15] ALPHA_AND : (f(R10_3_1) & g(R10_3_1))
% 0.21/0.40 -> [19] f(R10_3_1), g(R10_3_1)
% 0.21/0.40
% 0.21/0.40 [19] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 0.21/0.40 -> [46] ((f(R10_3_1) & h(R10_3_1)) => g(R10_3_1))
% 0.21/0.40
% 0.21/0.40 [46] BETA_IMPLY : ((f(R10_3_1) & h(R10_3_1)) => g(R10_3_1))
% 0.21/0.40 -> [51] ~(f(R10_3_1) & h(R10_3_1))
% 0.21/0.40 -> [52] g(R10_3_1)
% 0.21/0.40
% 0.21/0.40 [52] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 0.21/0.40 -> [69] ~((f(V11_4_2) & g(V11_4_2)) & ~h(V11_4_2))
% 0.21/0.40
% 0.21/0.40 [69] BETA_NOT_AND : ~((f(V11_4_2) & g(V11_4_2)) & ~h(V11_4_2))
% 0.21/0.40 -> [70] ~(f(V11_4_2) & g(V11_4_2))
% 0.21/0.40 -> [71] ~~h(V11_4_2)
% 0.21/0.40
% 0.21/0.40 [71] ALPHA_NOT_NOT : ~~h(V11_4_2)
% 0.21/0.40 -> [76] h(V11_4_2)
% 0.21/0.40
% 0.21/0.40 [76] CLOSURE : h(V11_4_2)
% 0.21/0.40
% 0.21/0.40 [70] BETA_NOT_AND : ~(f(V11_4_2) & g(V11_4_2))
% 0.21/0.40 -> [77] ~f(V11_4_2)
% 0.21/0.40 -> [78] ~g(V11_4_2)
% 0.21/0.40
% 0.21/0.40 [78] CLOSURE : ~g(V11_4_2)
% 0.21/0.40
% 0.21/0.40 [77] CLOSURE : ~f(V11_4_2)
% 0.21/0.40
% 0.21/0.40 [51] BETA_NOT_AND : ~(f(R10_3_1) & h(R10_3_1))
% 0.21/0.40 -> [59] ~f(R10_3_1)
% 0.21/0.40 -> [60] ~h(R10_3_1)
% 0.21/0.40
% 0.21/0.40 [59] CLOSURE : ~f(R10_3_1)
% 0.21/0.40
% 0.21/0.40 [60] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 0.21/0.40 -> [73] ~((f(V11_5_2) & g(V11_5_2)) & ~h(V11_5_2))
% 0.21/0.40
% 0.21/0.40 [73] BETA_NOT_AND : ~((f(V11_5_2) & g(V11_5_2)) & ~h(V11_5_2))
% 0.21/0.40 -> [74] ~(f(V11_5_2) & g(V11_5_2))
% 0.21/0.40 -> [75] ~~h(V11_5_2)
% 0.21/0.40
% 0.21/0.40 [75] ALPHA_NOT_NOT : ~~h(V11_5_2)
% 0.21/0.40 -> [79] h(V11_5_2)
% 0.21/0.40
% 0.21/0.40 [79] CLOSURE : h(V11_5_2)
% 0.21/0.40
% 0.21/0.40 [74] BETA_NOT_AND : ~(f(V11_5_2) & g(V11_5_2))
% 0.21/0.40 -> [80] ~f(V11_5_2)
% 0.21/0.40 -> [81] ~g(V11_5_2)
% 0.21/0.40
% 0.21/0.40 [81] CLOSURE : ~g(V11_5_2)
% 0.21/0.40
% 0.21/0.40 [80] CLOSURE : ~f(V11_5_2)
% 0.21/0.40
% 0.21/0.40 [11] DELTA_EXISTS : ? [Y7_7] : ((f(Y7_7) & ~g(Y7_7)))
% 0.21/0.40 -> [14] (f(skolem_Y77) & ~g(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [14] ALPHA_AND : (f(skolem_Y77) & ~g(skolem_Y77))
% 0.21/0.40 -> [16] f(skolem_Y77), ~g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [16] GAMMA_FORALL : ! [R10_10] : (((f(R10_10) & h(R10_10)) => g(R10_10)))
% 0.21/0.40 -> [20] ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [20] BETA_IMPLY : ((f(skolem_Y77) & h(skolem_Y77)) => g(skolem_Y77))
% 0.21/0.40 -> [22] ~(f(skolem_Y77) & h(skolem_Y77))
% 0.21/0.40 -> [23] g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [23] CLOSURE : g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [22] BETA_NOT_AND : ~(f(skolem_Y77) & h(skolem_Y77))
% 0.21/0.40 -> [28] ~f(skolem_Y77)
% 0.21/0.40 -> [29] ~h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [28] CLOSURE : ~f(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [29] GAMMA_NOT_EXISTS : ~? [V11_11] : (((f(V11_11) & g(V11_11)) & ~h(V11_11)))
% 0.21/0.40 -> [31] ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [31] BETA_NOT_AND : ~((f(skolem_Y77) & g(skolem_Y77)) & ~h(skolem_Y77))
% 0.21/0.40 -> [34] ~(f(skolem_Y77) & g(skolem_Y77))
% 0.21/0.40 -> [35] ~~h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [34] BETA_NOT_AND : ~(f(skolem_Y77) & g(skolem_Y77))
% 0.21/0.40 -> [41] ~f(skolem_Y77)
% 0.21/0.40 -> [42] ~g(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [42] GAMMA_FORALL : ! [Z9_9] : ((f(Z9_9) => h(Z9_9)))
% 0.21/0.40 -> [53] (f(skolem_Y77) => h(skolem_Y77))
% 0.21/0.40
% 0.21/0.40 [53] BETA_IMPLY : (f(skolem_Y77) => h(skolem_Y77))
% 0.21/0.40 -> [54] ~f(skolem_Y77)
% 0.21/0.40 -> [55] h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [54] CLOSURE : ~f(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [55] CLOSURE : h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [41] CLOSURE : ~f(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 [44] CLOSURE : h(skolem_Y77)
% 0.21/0.40
% 0.21/0.40 % SZS output end Proof for theBenchmark.p
% 0.21/0.40 [0.049689s][1][Res] 175 goroutines created
% 0.21/0.40 ==== Result ====
% 0.21/0.40 [0.049722s][1][Res] VALID
% 0.21/0.40 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------