TSTP Solution File: SYN056+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN056+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 22:22:13 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 01:47:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 5
% 0.13/0.35 Launch Gotab with destructive = true
% 0.13/0.39 % SZS output start Proof for theBenchmark.p
% 0.13/0.39 [0] ALPHA_AND : ((? [X2_2] : (big_p(X2_2)) <=> ? [Y3_3] : (big_q(Y3_3))) & ! [X4_4, Y5_5] : (((big_p(X4_4) & big_q(Y5_5)) => (big_r(X4_4) <=> big_s(Y5_5)))) & ~(! [X6_6] : ((big_p(X6_6) => big_r(X6_6))) <=> ! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))))
% 0.13/0.39 -> [1] (? [X2_2] : (big_p(X2_2)) <=> ? [Y3_3] : (big_q(Y3_3))), ! [X4_4, Y5_5] : (((big_p(X4_4) & big_q(Y5_5)) => (big_r(X4_4) <=> big_s(Y5_5)))), ~(! [X6_6] : ((big_p(X6_6) => big_r(X6_6))) <=> ! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7))))
% 0.13/0.39
% 0.13/0.39 [1] BETA_EQUIV : (? [X2_2] : (big_p(X2_2)) <=> ? [Y3_3] : (big_q(Y3_3)))
% 0.13/0.39 -> [2] ~? [X2_2] : (big_p(X2_2)), ~? [Y3_3] : (big_q(Y3_3))
% 0.13/0.39 -> [3] ? [X2_2] : (big_p(X2_2)), ? [Y3_3] : (big_q(Y3_3))
% 0.13/0.39
% 0.13/0.39 [2] BETA_NOT_EQUIV : ~(! [X6_6] : ((big_p(X6_6) => big_r(X6_6))) <=> ! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7))))
% 0.13/0.39 -> [6] ~! [X6_6] : ((big_p(X6_6) => big_r(X6_6))), ! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))
% 0.13/0.39 -> [7] ! [X6_6] : ((big_p(X6_6) => big_r(X6_6))), ~! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))
% 0.13/0.39
% 0.13/0.39 [6] DELTA_NOT_FORALL : ~! [X6_6] : ((big_p(X6_6) => big_r(X6_6)))
% 0.13/0.39 -> [8] ~(big_p(skolem_X66) => big_r(skolem_X66))
% 0.13/0.39
% 0.13/0.39 [8] ALPHA_NOT_IMPLY : ~(big_p(skolem_X66) => big_r(skolem_X66))
% 0.13/0.39 -> [10] big_p(skolem_X66), ~big_r(skolem_X66)
% 0.13/0.39
% 0.13/0.39 [10] GAMMA_FORALL : ! [X4_4, Y5_5] : (((big_p(X4_4) & big_q(Y5_5)) => (big_r(X4_4) <=> big_s(Y5_5))))
% 0.13/0.39 -> [12] ((big_p(skolem_X66) & big_q(Y5_0_0)) => (big_r(skolem_X66) <=> big_s(Y5_0_0)))
% 0.13/0.39
% 0.13/0.39 [12] BETA_IMPLY : ((big_p(skolem_X66) & big_q(Y5_0_0)) => (big_r(skolem_X66) <=> big_s(Y5_0_0)))
% 0.13/0.39 -> [13] ~(big_p(skolem_X66) & big_q(Y5_0_0))
% 0.13/0.39 -> [14] (big_r(skolem_X66) <=> big_s(Y5_0_0))
% 0.13/0.39
% 0.13/0.39 [13] BETA_NOT_AND : ~(big_p(skolem_X66) & big_q(Y5_0_0))
% 0.13/0.39 -> [18] ~big_p(skolem_X66)
% 0.13/0.39 -> [19] ~big_q(Y5_0_0)
% 0.13/0.39
% 0.13/0.39 [18] CLOSURE : ~big_p(skolem_X66)
% 0.13/0.39
% 0.13/0.39 [19] GAMMA_NOT_EXISTS : ~? [X2_2] : (big_p(X2_2))
% 0.13/0.39 -> [24] ~big_p(X2_0_1)
% 0.13/0.39
% 0.13/0.39 [24] CLOSURE : ~big_p(X2_0_1)
% 0.13/0.39
% 0.13/0.39 [14] BETA_EQUIV : (big_r(skolem_X66) <=> big_s(Y5_0_0))
% 0.13/0.39 -> [20] ~big_r(skolem_X66), ~big_s(Y5_0_0)
% 0.13/0.39 -> [21] big_r(skolem_X66), big_s(Y5_0_0)
% 0.13/0.39
% 0.13/0.39 [21] CLOSURE : big_r(skolem_X66)
% 0.13/0.39
% 0.13/0.39 [20] GAMMA_NOT_EXISTS : ~? [X2_2] : (big_p(X2_2))
% 0.13/0.39 -> [25] ~big_p(X2_1_1)
% 0.13/0.39
% 0.13/0.39 [25] CLOSURE : ~big_p(X2_1_1)
% 0.13/0.39
% 0.13/0.39 [7] DELTA_NOT_FORALL : ~! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))
% 0.13/0.39 -> [9] ~(big_q(skolem_Y77) => big_s(skolem_Y77))
% 0.13/0.39
% 0.13/0.39 [9] ALPHA_NOT_IMPLY : ~(big_q(skolem_Y77) => big_s(skolem_Y77))
% 0.13/0.39 -> [11] big_q(skolem_Y77), ~big_s(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [11] GAMMA_FORALL : ! [X4_4, Y5_5] : (((big_p(X4_4) & big_q(Y5_5)) => (big_r(X4_4) <=> big_s(Y5_5))))
% 0.13/0.39 -> [15] ((big_p(X4_1_0) & big_q(skolem_Y77)) => (big_r(X4_1_0) <=> big_s(skolem_Y77)))
% 0.13/0.39
% 0.13/0.39 [15] BETA_IMPLY : ((big_p(X4_1_0) & big_q(skolem_Y77)) => (big_r(X4_1_0) <=> big_s(skolem_Y77)))
% 0.13/0.39 -> [16] ~(big_p(X4_1_0) & big_q(skolem_Y77))
% 0.13/0.39 -> [17] (big_r(X4_1_0) <=> big_s(skolem_Y77))
% 0.13/0.39
% 0.13/0.39 [16] BETA_NOT_AND : ~(big_p(X4_1_0) & big_q(skolem_Y77))
% 0.13/0.39 -> [26] ~big_p(X4_1_0)
% 0.13/0.39 -> [27] ~big_q(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [27] CLOSURE : ~big_q(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [26] GAMMA_NOT_EXISTS : ~? [X2_2] : (big_p(X2_2))
% 0.13/0.39 -> [28] ~big_p(X2_2_1)
% 0.13/0.39
% 0.13/0.39 [28] GAMMA_NOT_EXISTS : ~? [Y3_3] : (big_q(Y3_3))
% 0.13/0.39 -> [33] ~big_q(Y3_0_2)
% 0.13/0.39
% 0.13/0.39 [33] CLOSURE : ~big_q(Y3_0_2)
% 0.13/0.39
% 0.13/0.39 [17] BETA_EQUIV : (big_r(X4_1_0) <=> big_s(skolem_Y77))
% 0.13/0.39 -> [29] ~big_r(X4_1_0), ~big_s(skolem_Y77)
% 0.13/0.39 -> [30] big_r(X4_1_0), big_s(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [30] CLOSURE : big_s(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [29] GAMMA_NOT_EXISTS : ~? [X2_2] : (big_p(X2_2))
% 0.13/0.39 -> [34] ~big_p(X2_3_1)
% 0.13/0.39
% 0.13/0.39 [34] GAMMA_NOT_EXISTS : ~? [Y3_3] : (big_q(Y3_3))
% 0.13/0.39 -> [36] ~big_q(Y3_1_2)
% 0.13/0.39
% 0.13/0.39 [36] CLOSURE : ~big_q(Y3_1_2)
% 0.13/0.39
% 0.13/0.39 [3] DELTA_EXISTS : ? [X2_2] : (big_p(X2_2))
% 0.13/0.39 -> [4] big_p(skolem_X22)
% 0.13/0.39
% 0.13/0.39 [4] DELTA_EXISTS : ? [Y3_3] : (big_q(Y3_3))
% 0.13/0.39 -> [5] big_q(skolem_Y33)
% 0.13/0.39
% 0.13/0.39 [5] BETA_NOT_EQUIV : ~(! [X6_6] : ((big_p(X6_6) => big_r(X6_6))) <=> ! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7))))
% 0.13/0.39 -> [22] ~! [X6_6] : ((big_p(X6_6) => big_r(X6_6))), ! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))
% 0.13/0.39 -> [23] ! [X6_6] : ((big_p(X6_6) => big_r(X6_6))), ~! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))
% 0.13/0.39
% 0.13/0.39 [22] DELTA_NOT_FORALL : ~! [X6_6] : ((big_p(X6_6) => big_r(X6_6)))
% 0.13/0.39 -> [31] ~(big_p(skolem_X66) => big_r(skolem_X66))
% 0.13/0.39
% 0.13/0.39 [31] ALPHA_NOT_IMPLY : ~(big_p(skolem_X66) => big_r(skolem_X66))
% 0.13/0.39 -> [32] big_p(skolem_X66), ~big_r(skolem_X66)
% 0.13/0.39
% 0.13/0.39 [32] GAMMA_FORALL : ! [X4_4, Y5_5] : (((big_p(X4_4) & big_q(Y5_5)) => (big_r(X4_4) <=> big_s(Y5_5))))
% 0.13/0.39 -> [38] ((big_p(skolem_X66) & big_q(skolem_Y33)) => (big_r(skolem_X66) <=> big_s(skolem_Y33)))
% 0.13/0.39
% 0.13/0.39 [38] BETA_IMPLY : ((big_p(skolem_X66) & big_q(skolem_Y33)) => (big_r(skolem_X66) <=> big_s(skolem_Y33)))
% 0.13/0.39 -> [39] ~(big_p(skolem_X66) & big_q(skolem_Y33))
% 0.13/0.39 -> [40] (big_r(skolem_X66) <=> big_s(skolem_Y33))
% 0.13/0.39
% 0.13/0.39 [39] BETA_NOT_AND : ~(big_p(skolem_X66) & big_q(skolem_Y33))
% 0.13/0.39 -> [41] ~big_p(skolem_X66)
% 0.13/0.39 -> [42] ~big_q(skolem_Y33)
% 0.13/0.39
% 0.13/0.39 [41] CLOSURE : ~big_p(skolem_X66)
% 0.13/0.39
% 0.13/0.39 [42] CLOSURE : ~big_q(skolem_Y33)
% 0.13/0.39
% 0.13/0.39 [40] BETA_EQUIV : (big_r(skolem_X66) <=> big_s(skolem_Y33))
% 0.13/0.39 -> [43] ~big_r(skolem_X66), ~big_s(skolem_Y33)
% 0.13/0.39 -> [44] big_r(skolem_X66), big_s(skolem_Y33)
% 0.13/0.39
% 0.13/0.39 [43] GAMMA_FORALL : ! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))
% 0.13/0.39 -> [48] (big_q(skolem_Y33) => big_s(skolem_Y33))
% 0.13/0.39
% 0.13/0.39 [48] BETA_IMPLY : (big_q(skolem_Y33) => big_s(skolem_Y33))
% 0.13/0.39 -> [49] ~big_q(skolem_Y33)
% 0.13/0.39 -> [50] big_s(skolem_Y33)
% 0.13/0.39
% 0.13/0.39 [49] CLOSURE : ~big_q(skolem_Y33)
% 0.13/0.39
% 0.13/0.39 [50] CLOSURE : big_s(skolem_Y33)
% 0.13/0.39
% 0.13/0.39 [44] CLOSURE : big_r(skolem_X66)
% 0.13/0.39
% 0.13/0.39 [23] DELTA_NOT_FORALL : ~! [Y7_7] : ((big_q(Y7_7) => big_s(Y7_7)))
% 0.13/0.39 -> [35] ~(big_q(skolem_Y77) => big_s(skolem_Y77))
% 0.13/0.39
% 0.13/0.39 [35] ALPHA_NOT_IMPLY : ~(big_q(skolem_Y77) => big_s(skolem_Y77))
% 0.13/0.39 -> [37] big_q(skolem_Y77), ~big_s(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [37] GAMMA_FORALL : ! [X4_4, Y5_5] : (((big_p(X4_4) & big_q(Y5_5)) => (big_r(X4_4) <=> big_s(Y5_5))))
% 0.13/0.39 -> [45] ((big_p(skolem_X22) & big_q(skolem_Y77)) => (big_r(skolem_X22) <=> big_s(skolem_Y77)))
% 0.13/0.39
% 0.13/0.39 [45] BETA_IMPLY : ((big_p(skolem_X22) & big_q(skolem_Y77)) => (big_r(skolem_X22) <=> big_s(skolem_Y77)))
% 0.13/0.39 -> [46] ~(big_p(skolem_X22) & big_q(skolem_Y77))
% 0.13/0.39 -> [47] (big_r(skolem_X22) <=> big_s(skolem_Y77))
% 0.13/0.39
% 0.13/0.39 [46] BETA_NOT_AND : ~(big_p(skolem_X22) & big_q(skolem_Y77))
% 0.13/0.39 -> [51] ~big_p(skolem_X22)
% 0.13/0.39 -> [52] ~big_q(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [51] CLOSURE : ~big_p(skolem_X22)
% 0.13/0.39
% 0.13/0.39 [52] CLOSURE : ~big_q(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [47] BETA_EQUIV : (big_r(skolem_X22) <=> big_s(skolem_Y77))
% 0.13/0.39 -> [53] ~big_r(skolem_X22), ~big_s(skolem_Y77)
% 0.13/0.39 -> [54] big_r(skolem_X22), big_s(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 [53] GAMMA_FORALL : ! [X6_6] : ((big_p(X6_6) => big_r(X6_6)))
% 0.13/0.39 -> [55] (big_p(skolem_X22) => big_r(skolem_X22))
% 0.13/0.39
% 0.13/0.39 [55] BETA_IMPLY : (big_p(skolem_X22) => big_r(skolem_X22))
% 0.13/0.39 -> [56] ~big_p(skolem_X22)
% 0.13/0.39 -> [57] big_r(skolem_X22)
% 0.13/0.39
% 0.13/0.39 [56] CLOSURE : ~big_p(skolem_X22)
% 0.13/0.39
% 0.13/0.39 [57] CLOSURE : big_r(skolem_X22)
% 0.13/0.39
% 0.13/0.39 [54] CLOSURE : big_s(skolem_Y77)
% 0.13/0.39
% 0.13/0.39 % SZS output end Proof for theBenchmark.p
% 0.13/0.39 [0.041019s][1][Res] 185 goroutines created
% 0.13/0.39 ==== Result ====
% 0.13/0.39 [0.041057s][1][Res] VALID
% 0.13/0.39 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------