TSTP Solution File: SYN059+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Sep 29 22:22:14 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n023.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 01:49:02 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 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 5
% 0.12/0.35 Launch Gotab with destructive = true
% 0.12/0.38 % SZS output start Proof for theBenchmark.p
% 0.12/0.38 [0] ALPHA_AND : (? [X4_4] : (big_f(X4_4)) & ? [Y5_5] : (big_g(Y5_5)) & ~((! [X6_6] : ((big_f(X6_6) => big_h(X6_6))) & ! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))) <=> ! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9))))))
% 0.12/0.38 -> [1] ? [X4_4] : (big_f(X4_4)), ? [Y5_5] : (big_g(Y5_5)), ~((! [X6_6] : ((big_f(X6_6) => big_h(X6_6))) & ! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))) <=> ! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9)))))
% 0.12/0.38
% 0.12/0.38 [1] DELTA_EXISTS : ? [X4_4] : (big_f(X4_4))
% 0.12/0.38 -> [2] big_f(skolem_X44)
% 0.12/0.38
% 0.12/0.38 [2] DELTA_EXISTS : ? [Y5_5] : (big_g(Y5_5))
% 0.12/0.38 -> [3] big_g(skolem_Y55)
% 0.12/0.38
% 0.12/0.38 [3] BETA_NOT_EQUIV : ~((! [X6_6] : ((big_f(X6_6) => big_h(X6_6))) & ! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))) <=> ! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9)))))
% 0.12/0.38 -> [4] ~(! [X6_6] : ((big_f(X6_6) => big_h(X6_6))) & ! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))), ! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9))))
% 0.12/0.38 -> [5] (! [X6_6] : ((big_f(X6_6) => big_h(X6_6))) & ! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))), ~! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9))))
% 0.12/0.38
% 0.12/0.38 [5] ALPHA_AND : (! [X6_6] : ((big_f(X6_6) => big_h(X6_6))) & ! [U7_7] : ((big_g(U7_7) => big_j(U7_7))))
% 0.12/0.38 -> [6] ! [X6_6] : ((big_f(X6_6) => big_h(X6_6))), ! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))
% 0.12/0.38
% 0.12/0.38 [6] DELTA_NOT_FORALL : ~! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9))))
% 0.12/0.38 -> [11] ~((big_f(skolem_W88) & big_g(skolem_Y99)) => (big_h(skolem_W88) & big_j(skolem_Y99)))
% 0.12/0.38
% 0.12/0.38 [11] ALPHA_NOT_IMPLY : ~((big_f(skolem_W88) & big_g(skolem_Y99)) => (big_h(skolem_W88) & big_j(skolem_Y99)))
% 0.12/0.38 -> [14] (big_f(skolem_W88) & big_g(skolem_Y99)), ~(big_h(skolem_W88) & big_j(skolem_Y99))
% 0.12/0.38
% 0.12/0.38 [14] ALPHA_AND : (big_f(skolem_W88) & big_g(skolem_Y99))
% 0.12/0.38 -> [15] big_f(skolem_W88), big_g(skolem_Y99)
% 0.12/0.38
% 0.12/0.38 [15] BETA_NOT_AND : ~(big_h(skolem_W88) & big_j(skolem_Y99))
% 0.12/0.38 -> [16] ~big_h(skolem_W88)
% 0.12/0.38 -> [17] ~big_j(skolem_Y99)
% 0.12/0.38
% 0.12/0.38 [16] GAMMA_FORALL : ! [X6_6] : ((big_f(X6_6) => big_h(X6_6)))
% 0.12/0.38 -> [24] (big_f(skolem_W88) => big_h(skolem_W88))
% 0.12/0.38
% 0.12/0.38 [24] BETA_IMPLY : (big_f(skolem_W88) => big_h(skolem_W88))
% 0.12/0.38 -> [25] ~big_f(skolem_W88)
% 0.12/0.38 -> [26] big_h(skolem_W88)
% 0.12/0.38
% 0.12/0.38 [25] CLOSURE : ~big_f(skolem_W88)
% 0.12/0.38
% 0.12/0.38 [26] CLOSURE : big_h(skolem_W88)
% 0.12/0.38
% 0.12/0.38 [17] GAMMA_FORALL : ! [X6_6] : ((big_f(X6_6) => big_h(X6_6)))
% 0.12/0.38 -> [27] (big_f(skolem_W88) => big_h(skolem_W88))
% 0.12/0.38
% 0.12/0.38 [27] BETA_IMPLY : (big_f(skolem_W88) => big_h(skolem_W88))
% 0.12/0.38 -> [28] ~big_f(skolem_W88)
% 0.12/0.38 -> [29] big_h(skolem_W88)
% 0.12/0.38
% 0.12/0.38 [28] CLOSURE : ~big_f(skolem_W88)
% 0.12/0.38
% 0.12/0.38 [29] GAMMA_FORALL : ! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))
% 0.12/0.38 -> [36] (big_g(skolem_Y99) => big_j(skolem_Y99))
% 0.12/0.38
% 0.12/0.38 [36] BETA_IMPLY : (big_g(skolem_Y99) => big_j(skolem_Y99))
% 0.12/0.38 -> [37] ~big_g(skolem_Y99)
% 0.12/0.38 -> [38] big_j(skolem_Y99)
% 0.12/0.38
% 0.12/0.38 [38] CLOSURE : big_j(skolem_Y99)
% 0.12/0.38
% 0.12/0.38 [37] CLOSURE : ~big_g(skolem_Y99)
% 0.12/0.38
% 0.12/0.38 [4] BETA_NOT_AND : ~(! [X6_6] : ((big_f(X6_6) => big_h(X6_6))) & ! [U7_7] : ((big_g(U7_7) => big_j(U7_7))))
% 0.12/0.38 -> [7] ~! [X6_6] : ((big_f(X6_6) => big_h(X6_6)))
% 0.12/0.38 -> [8] ~! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))
% 0.12/0.38
% 0.12/0.38 [8] DELTA_NOT_FORALL : ~! [U7_7] : ((big_g(U7_7) => big_j(U7_7)))
% 0.12/0.38 -> [9] ~(big_g(skolem_U77) => big_j(skolem_U77))
% 0.12/0.38
% 0.12/0.38 [9] ALPHA_NOT_IMPLY : ~(big_g(skolem_U77) => big_j(skolem_U77))
% 0.12/0.38 -> [12] big_g(skolem_U77), ~big_j(skolem_U77)
% 0.12/0.38
% 0.12/0.38 [12] GAMMA_FORALL : ! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9))))
% 0.12/0.38 -> [19] ((big_f(skolem_X44) & big_g(skolem_U77)) => (big_h(skolem_X44) & big_j(skolem_U77)))
% 0.12/0.38
% 0.12/0.38 [19] BETA_IMPLY : ((big_f(skolem_X44) & big_g(skolem_U77)) => (big_h(skolem_X44) & big_j(skolem_U77)))
% 0.12/0.38 -> [22] ~(big_f(skolem_X44) & big_g(skolem_U77))
% 0.12/0.38 -> [23] (big_h(skolem_X44) & big_j(skolem_U77))
% 0.12/0.38
% 0.12/0.38 [23] ALPHA_AND : (big_h(skolem_X44) & big_j(skolem_U77))
% 0.12/0.38 -> [35] big_h(skolem_X44), big_j(skolem_U77)
% 0.12/0.38
% 0.12/0.38 [35] CLOSURE : big_j(skolem_U77)
% 0.12/0.38
% 0.12/0.38 [22] BETA_NOT_AND : ~(big_f(skolem_X44) & big_g(skolem_U77))
% 0.12/0.38 -> [41] ~big_f(skolem_X44)
% 0.12/0.38 -> [42] ~big_g(skolem_U77)
% 0.12/0.38
% 0.12/0.38 [42] CLOSURE : ~big_g(skolem_U77)
% 0.12/0.38
% 0.12/0.38 [41] CLOSURE : ~big_f(skolem_X44)
% 0.12/0.38
% 0.12/0.38 [7] DELTA_NOT_FORALL : ~! [X6_6] : ((big_f(X6_6) => big_h(X6_6)))
% 0.12/0.38 -> [10] ~(big_f(skolem_X66) => big_h(skolem_X66))
% 0.12/0.38
% 0.12/0.38 [10] ALPHA_NOT_IMPLY : ~(big_f(skolem_X66) => big_h(skolem_X66))
% 0.12/0.38 -> [13] big_f(skolem_X66), ~big_h(skolem_X66)
% 0.12/0.38
% 0.12/0.38 [13] GAMMA_FORALL : ! [W8_8, Y9_9] : (((big_f(W8_8) & big_g(Y9_9)) => (big_h(W8_8) & big_j(Y9_9))))
% 0.12/0.38 -> [18] ((big_f(skolem_X66) & big_g(skolem_Y55)) => (big_h(skolem_X66) & big_j(skolem_Y55)))
% 0.12/0.38
% 0.12/0.38 [18] BETA_IMPLY : ((big_f(skolem_X66) & big_g(skolem_Y55)) => (big_h(skolem_X66) & big_j(skolem_Y55)))
% 0.12/0.38 -> [20] ~(big_f(skolem_X66) & big_g(skolem_Y55))
% 0.12/0.38 -> [21] (big_h(skolem_X66) & big_j(skolem_Y55))
% 0.12/0.38
% 0.12/0.38 [21] ALPHA_AND : (big_h(skolem_X66) & big_j(skolem_Y55))
% 0.12/0.38 -> [34] big_h(skolem_X66), big_j(skolem_Y55)
% 0.12/0.38
% 0.12/0.38 [34] CLOSURE : big_h(skolem_X66)
% 0.12/0.38
% 0.12/0.38 [20] BETA_NOT_AND : ~(big_f(skolem_X66) & big_g(skolem_Y55))
% 0.12/0.38 -> [39] ~big_f(skolem_X66)
% 0.12/0.38 -> [40] ~big_g(skolem_Y55)
% 0.12/0.38
% 0.12/0.38 [39] CLOSURE : ~big_f(skolem_X66)
% 0.12/0.38
% 0.12/0.38 [40] CLOSURE : ~big_g(skolem_Y55)
% 0.12/0.38
% 0.12/0.38 % SZS output end Proof for theBenchmark.p
% 0.12/0.38 [0.032569s][1][Res] 154 goroutines created
% 0.12/0.38 ==== Result ====
% 0.12/0.38 [0.032604s][1][Res] VALID
% 0.12/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------