TSTP Solution File: SYN070+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n003.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 22:22:19 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Sep 5 01:34:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 6
% 0.13/0.34 Launch Gotab with destructive = true
% 0.19/0.42 % SZS output start Proof for theBenchmark.p
% 0.19/0.42 [0] ALPHA_AND : (! [X3_3, Y4_4] : (((big_f(X3_3) & ((big_f(Y4_4) & big_h(Y4_4, X3_3)) => big_g(Y4_4))) => big_g(X3_3))) & (? [X5_5] : ((big_f(X5_5) & ~big_g(X5_5))) => ? [X16_6] : (((big_f(X16_6) & ~big_g(X16_6)) & ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(X16_6, Y7_7)))))) & ! [X8_8, Y9_9] : ((((big_f(X8_8) & big_f(Y9_9)) & big_h(X8_8, Y9_9)) => ~big_j(Y9_9, X8_8))) & ~! [X10_10] : ((big_f(X10_10) => big_g(X10_10))))
% 0.19/0.42 -> [1] ! [X3_3, Y4_4] : (((big_f(X3_3) & ((big_f(Y4_4) & big_h(Y4_4, X3_3)) => big_g(Y4_4))) => big_g(X3_3))), (? [X5_5] : ((big_f(X5_5) & ~big_g(X5_5))) => ? [X16_6] : (((big_f(X16_6) & ~big_g(X16_6)) & ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(X16_6, Y7_7)))))), ! [X8_8, Y9_9] : ((((big_f(X8_8) & big_f(Y9_9)) & big_h(X8_8, Y9_9)) => ~big_j(Y9_9, X8_8))), ~! [X10_10] : ((big_f(X10_10) => big_g(X10_10)))
% 0.19/0.42
% 0.19/0.42 [1] DELTA_NOT_FORALL : ~! [X10_10] : ((big_f(X10_10) => big_g(X10_10)))
% 0.19/0.42 -> [2] ~(big_f(skolem_X1010) => big_g(skolem_X1010))
% 0.19/0.42
% 0.19/0.42 [2] ALPHA_NOT_IMPLY : ~(big_f(skolem_X1010) => big_g(skolem_X1010))
% 0.19/0.42 -> [3] big_f(skolem_X1010), ~big_g(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [3] BETA_IMPLY : (? [X5_5] : ((big_f(X5_5) & ~big_g(X5_5))) => ? [X16_6] : (((big_f(X16_6) & ~big_g(X16_6)) & ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(X16_6, Y7_7))))))
% 0.19/0.42 -> [4] ~? [X5_5] : ((big_f(X5_5) & ~big_g(X5_5)))
% 0.19/0.42 -> [5] ? [X16_6] : (((big_f(X16_6) & ~big_g(X16_6)) & ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(X16_6, Y7_7)))))
% 0.19/0.42
% 0.19/0.42 [4] GAMMA_FORALL : ! [X3_3, Y4_4] : (((big_f(X3_3) & ((big_f(Y4_4) & big_h(Y4_4, X3_3)) => big_g(Y4_4))) => big_g(X3_3)))
% 0.19/0.42 -> [6] ((big_f(skolem_X1010) & ((big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010)) => big_g(skolem_X1010))) => big_g(skolem_X1010))
% 0.19/0.42
% 0.19/0.42 [6] BETA_IMPLY : ((big_f(skolem_X1010) & ((big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010)) => big_g(skolem_X1010))) => big_g(skolem_X1010))
% 0.19/0.42 -> [8] ~(big_f(skolem_X1010) & ((big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010)) => big_g(skolem_X1010)))
% 0.19/0.42 -> [9] big_g(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [9] CLOSURE : big_g(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [8] BETA_NOT_AND : ~(big_f(skolem_X1010) & ((big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010)) => big_g(skolem_X1010)))
% 0.19/0.42 -> [47] ~big_f(skolem_X1010)
% 0.19/0.42 -> [48] ~((big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010)) => big_g(skolem_X1010))
% 0.19/0.42
% 0.19/0.42 [47] CLOSURE : ~big_f(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [48] ALPHA_NOT_IMPLY : ~((big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010)) => big_g(skolem_X1010))
% 0.19/0.42 -> [49] (big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010)), ~big_g(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [49] ALPHA_AND : (big_f(skolem_X1010) & big_h(skolem_X1010, skolem_X1010))
% 0.19/0.42 -> [50] big_f(skolem_X1010), big_h(skolem_X1010, skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [50] GAMMA_FORALL : ! [X8_8, Y9_9] : ((((big_f(X8_8) & big_f(Y9_9)) & big_h(X8_8, Y9_9)) => ~big_j(Y9_9, X8_8)))
% 0.19/0.42 -> [53] (((big_f(skolem_X1010) & big_f(skolem_X1010)) & big_h(skolem_X1010, skolem_X1010)) => ~big_j(skolem_X1010, skolem_X1010))
% 0.19/0.42
% 0.19/0.42 [53] BETA_IMPLY : (((big_f(skolem_X1010) & big_f(skolem_X1010)) & big_h(skolem_X1010, skolem_X1010)) => ~big_j(skolem_X1010, skolem_X1010))
% 0.19/0.42 -> [56] ~((big_f(skolem_X1010) & big_f(skolem_X1010)) & big_h(skolem_X1010, skolem_X1010))
% 0.19/0.42 -> [57] ~big_j(skolem_X1010, skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [57] GAMMA_NOT_EXISTS : ~? [X5_5] : ((big_f(X5_5) & ~big_g(X5_5)))
% 0.19/0.42 -> [62] ~(big_f(skolem_X1010) & ~big_g(skolem_X1010))
% 0.19/0.42
% 0.19/0.42 [62] BETA_NOT_AND : ~(big_f(skolem_X1010) & ~big_g(skolem_X1010))
% 0.19/0.42 -> [63] ~big_f(skolem_X1010)
% 0.19/0.42 -> [64] ~~big_g(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [63] CLOSURE : ~big_f(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [64] ALPHA_NOT_NOT : ~~big_g(skolem_X1010)
% 0.19/0.42 -> [65] big_g(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [65] CLOSURE : big_g(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [56] BETA_NOT_AND : ~((big_f(skolem_X1010) & big_f(skolem_X1010)) & big_h(skolem_X1010, skolem_X1010))
% 0.19/0.42 -> [58] ~(big_f(skolem_X1010) & big_f(skolem_X1010))
% 0.19/0.42 -> [59] ~big_h(skolem_X1010, skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [58] BETA_NOT_AND : ~(big_f(skolem_X1010) & big_f(skolem_X1010))
% 0.19/0.42 -> [60] ~big_f(skolem_X1010)
% 0.19/0.42 -> [61] ~big_f(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [61] CLOSURE : ~big_f(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [60] CLOSURE : ~big_f(skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [59] CLOSURE : ~big_h(skolem_X1010, skolem_X1010)
% 0.19/0.42
% 0.19/0.42 [5] DELTA_EXISTS : ? [X16_6] : (((big_f(X16_6) & ~big_g(X16_6)) & ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(X16_6, Y7_7)))))
% 0.19/0.42 -> [7] ((big_f(skolem_X166) & ~big_g(skolem_X166)) & ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(skolem_X166, Y7_7))))
% 0.19/0.42
% 0.19/0.42 [7] ALPHA_AND : ((big_f(skolem_X166) & ~big_g(skolem_X166)) & ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(skolem_X166, Y7_7))))
% 0.19/0.42 -> [10] (big_f(skolem_X166) & ~big_g(skolem_X166)), ! [Y7_7] : (((big_f(Y7_7) & ~big_g(Y7_7)) => big_j(skolem_X166, Y7_7)))
% 0.19/0.42
% 0.19/0.42 [10] ALPHA_AND : (big_f(skolem_X166) & ~big_g(skolem_X166))
% 0.19/0.42 -> [11] big_f(skolem_X166), ~big_g(skolem_X166)
% 0.19/0.42
% 0.19/0.42 [11] GAMMA_FORALL : ! [X3_3, Y4_4] : (((big_f(X3_3) & ((big_f(Y4_4) & big_h(Y4_4, X3_3)) => big_g(Y4_4))) => big_g(X3_3)))
% 0.19/0.42 -> [15] ((big_f(skolem_X166) & ((big_f(Y4_1_0) & big_h(Y4_1_0, skolem_X166)) => big_g(Y4_1_0))) => big_g(skolem_X166))
% 0.19/0.42
% 0.19/0.42 [15] BETA_IMPLY : ((big_f(skolem_X166) & ((big_f(Y4_1_0) & big_h(Y4_1_0, skolem_X166)) => big_g(Y4_1_0))) => big_g(skolem_X166))
% 0.19/0.42 -> [16] ~(big_f(skolem_X166) & ((big_f(Y4_1_0) & big_h(Y4_1_0, skolem_X166)) => big_g(Y4_1_0)))
% 0.19/0.42 -> [17] big_g(skolem_X166)
% 0.19/0.42
% 0.19/0.42 [17] CLOSURE : big_g(skolem_X166)
% 0.19/0.42
% 0.19/0.42 [16] BETA_NOT_AND : ~(big_f(skolem_X166) & ((big_f(Y4_1_0) & big_h(Y4_1_0, skolem_X166)) => big_g(Y4_1_0)))
% 0.19/0.42 -> [19] ~big_f(skolem_X166)
% 0.19/0.42 -> [20] ~((big_f(Y4_1_0) & big_h(Y4_1_0, skolem_X166)) => big_g(Y4_1_0))
% 0.19/0.42
% 0.19/0.42 [19] CLOSURE : ~big_f(skolem_X166)
% 0.19/0.42
% 0.19/0.42 [30] BETA_IMPLY : (((big_f(X8_1_1) & big_f(skolem_X166)) & big_h(X8_1_1, skolem_X166)) => ~big_j(skolem_X166, X8_1_1))
% 0.19/0.42 -> [66] ~((big_f(X8_1_1) & big_f(skolem_X166)) & big_h(X8_1_1, skolem_X166))
% 0.19/0.42 -> [67] ~big_j(skolem_X166, X8_1_1)
% 0.19/0.42
% 0.19/0.42 [66] BETA_NOT_AND : ~((big_f(X8_1_1) & big_f(skolem_X166)) & big_h(X8_1_1, skolem_X166))
% 0.19/0.42 -> [68] ~(big_f(X8_1_1) & big_f(skolem_X166))
% 0.19/0.42 -> [69] ~big_h(X8_1_1, skolem_X166)
% 0.19/0.42
% 0.19/0.42 [69] CLOSURE : ~big_h(X8_1_1, skolem_X166)
% 0.19/0.42
% 0.19/0.42 [68] BETA_NOT_AND : ~(big_f(X8_1_1) & big_f(skolem_X166))
% 0.19/0.42 -> [70] ~big_f(X8_1_1)
% 0.19/0.42 -> [71] ~big_f(skolem_X166)
% 0.19/0.42
% 0.19/0.42 [71] CLOSURE : ~big_f(skolem_X166)
% 0.19/0.42
% 0.19/0.42 [70] CLOSURE : ~big_f(X8_1_1)
% 0.19/0.42
% 0.19/0.42 [72] BETA_IMPLY : ((big_f(Y7_1_2) & ~big_g(Y7_1_2)) => big_j(skolem_X166, Y7_1_2))
% 0.19/0.42 -> [78] ~(big_f(Y7_1_2) & ~big_g(Y7_1_2))
% 0.19/0.42 -> [79] big_j(skolem_X166, Y7_1_2)
% 0.19/0.42
% 0.19/0.42 [79] CLOSURE : big_j(skolem_X166, Y7_1_2)
% 0.19/0.42
% 0.19/0.42 [78] BETA_NOT_AND : ~(big_f(Y7_1_2) & ~big_g(Y7_1_2))
% 0.19/0.42 -> [80] ~big_f(Y7_1_2)
% 0.19/0.42 -> [81] ~~big_g(Y7_1_2)
% 0.19/0.42
% 0.19/0.42 [80] CLOSURE : ~big_f(Y7_1_2)
% 0.19/0.42
% 0.19/0.42 [81] ALPHA_NOT_NOT : ~~big_g(Y7_1_2)
% 0.19/0.42 -> [82] big_g(Y7_1_2)
% 0.19/0.42
% 0.19/0.42 [82] CLOSURE : big_g(Y7_1_2)
% 0.19/0.42
% 0.19/0.42 % SZS output end Proof for theBenchmark.p
% 0.19/0.42 [0.083511s][1][Res] 439 goroutines created
% 0.19/0.42 ==== Result ====
% 0.19/0.42 [0.083553s][1][Res] VALID
% 0.19/0.42 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------