TSTP Solution File: SYN054+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n025.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 22:22:12 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 01:33:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 6
% 0.12/0.34 Launch Gotab with destructive = true
% 0.18/0.40 % SZS output start Proof for theBenchmark.p
% 0.18/0.40 [0] ALPHA_AND : (~? [X2_2] : ((big_s(X2_2) & big_q(X2_2))) & ! [X3_3] : ((big_p(X3_3) => (big_q(X3_3) | big_r(X3_3)))) & (~? [X4_4] : (big_p(X4_4)) => ? [Y5_5] : (big_q(Y5_5))) & ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6))) & ~? [X7_7] : ((big_p(X7_7) & big_r(X7_7))))
% 0.18/0.40 -> [1] ~? [X2_2] : ((big_s(X2_2) & big_q(X2_2))), ! [X3_3] : ((big_p(X3_3) => (big_q(X3_3) | big_r(X3_3)))), (~? [X4_4] : (big_p(X4_4)) => ? [Y5_5] : (big_q(Y5_5))), ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6))), ~? [X7_7] : ((big_p(X7_7) & big_r(X7_7)))
% 0.18/0.40
% 0.18/0.40 [1] BETA_IMPLY : (~? [X4_4] : (big_p(X4_4)) => ? [Y5_5] : (big_q(Y5_5)))
% 0.18/0.40 -> [2] ~~? [X4_4] : (big_p(X4_4))
% 0.18/0.40 -> [3] ? [Y5_5] : (big_q(Y5_5))
% 0.18/0.40
% 0.18/0.40 [3] DELTA_EXISTS : ? [Y5_5] : (big_q(Y5_5))
% 0.18/0.40 -> [5] big_q(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [5] GAMMA_NOT_EXISTS : ~? [X2_2] : ((big_s(X2_2) & big_q(X2_2)))
% 0.18/0.40 -> [7] ~(big_s(skolem_Y55) & big_q(skolem_Y55))
% 0.18/0.40
% 0.18/0.40 [7] BETA_NOT_AND : ~(big_s(skolem_Y55) & big_q(skolem_Y55))
% 0.18/0.40 -> [9] ~big_s(skolem_Y55)
% 0.18/0.40 -> [10] ~big_q(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [10] CLOSURE : ~big_q(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [9] GAMMA_FORALL : ! [X3_3] : ((big_p(X3_3) => (big_q(X3_3) | big_r(X3_3))))
% 0.18/0.40 -> [13] (big_p(X3_0_1) => (big_q(X3_0_1) | big_r(X3_0_1)))
% 0.18/0.40
% 0.18/0.40 [13] BETA_IMPLY : (big_p(X3_0_1) => (big_q(X3_0_1) | big_r(X3_0_1)))
% 0.18/0.40 -> [15] ~big_p(X3_0_1)
% 0.18/0.40 -> [16] (big_q(X3_0_1) | big_r(X3_0_1))
% 0.18/0.40
% 0.18/0.40 [15] GAMMA_FORALL : ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6)))
% 0.18/0.40 -> [22] ((big_q(skolem_Y55) | big_r(skolem_Y55)) => big_s(skolem_Y55))
% 0.18/0.40
% 0.18/0.40 [22] BETA_IMPLY : ((big_q(skolem_Y55) | big_r(skolem_Y55)) => big_s(skolem_Y55))
% 0.18/0.40 -> [29] ~(big_q(skolem_Y55) | big_r(skolem_Y55))
% 0.18/0.40 -> [30] big_s(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [29] ALPHA_NOT_OR : ~(big_q(skolem_Y55) | big_r(skolem_Y55))
% 0.18/0.40 -> [34] ~big_q(skolem_Y55), ~big_r(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [34] CLOSURE : ~big_q(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [30] CLOSURE : big_s(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [16] BETA_OR : (big_q(X3_0_1) | big_r(X3_0_1))
% 0.18/0.40 -> [25] big_q(X3_0_1)
% 0.18/0.40 -> [26] big_r(X3_0_1)
% 0.18/0.40
% 0.18/0.40 [25] GAMMA_FORALL : ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6)))
% 0.18/0.40 -> [31] ((big_q(skolem_Y55) | big_r(skolem_Y55)) => big_s(skolem_Y55))
% 0.18/0.40
% 0.18/0.40 [31] BETA_IMPLY : ((big_q(skolem_Y55) | big_r(skolem_Y55)) => big_s(skolem_Y55))
% 0.18/0.40 -> [32] ~(big_q(skolem_Y55) | big_r(skolem_Y55))
% 0.18/0.40 -> [33] big_s(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [32] ALPHA_NOT_OR : ~(big_q(skolem_Y55) | big_r(skolem_Y55))
% 0.18/0.40 -> [35] ~big_q(skolem_Y55), ~big_r(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [35] CLOSURE : ~big_q(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [33] CLOSURE : big_s(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [26] GAMMA_FORALL : ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6)))
% 0.18/0.40 -> [41] ((big_q(skolem_Y55) | big_r(skolem_Y55)) => big_s(skolem_Y55))
% 0.18/0.40
% 0.18/0.40 [41] BETA_IMPLY : ((big_q(skolem_Y55) | big_r(skolem_Y55)) => big_s(skolem_Y55))
% 0.18/0.40 -> [44] ~(big_q(skolem_Y55) | big_r(skolem_Y55))
% 0.18/0.40 -> [45] big_s(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [44] ALPHA_NOT_OR : ~(big_q(skolem_Y55) | big_r(skolem_Y55))
% 0.18/0.40 -> [50] ~big_q(skolem_Y55), ~big_r(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [50] CLOSURE : ~big_r(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [45] CLOSURE : big_s(skolem_Y55)
% 0.18/0.40
% 0.18/0.40 [2] ALPHA_NOT_NOT : ~~? [X4_4] : (big_p(X4_4))
% 0.18/0.40 -> [4] ? [X4_4] : (big_p(X4_4))
% 0.18/0.40
% 0.18/0.40 [4] DELTA_EXISTS : ? [X4_4] : (big_p(X4_4))
% 0.18/0.40 -> [6] big_p(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [6] GAMMA_NOT_EXISTS : ~? [X2_2] : ((big_s(X2_2) & big_q(X2_2)))
% 0.18/0.40 -> [8] ~(big_s(skolem_X44) & big_q(skolem_X44))
% 0.18/0.40
% 0.18/0.40 [8] BETA_NOT_AND : ~(big_s(skolem_X44) & big_q(skolem_X44))
% 0.18/0.40 -> [11] ~big_s(skolem_X44)
% 0.18/0.40 -> [12] ~big_q(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [11] GAMMA_FORALL : ! [X3_3] : ((big_p(X3_3) => (big_q(X3_3) | big_r(X3_3))))
% 0.18/0.40 -> [14] (big_p(skolem_X44) => (big_q(skolem_X44) | big_r(skolem_X44)))
% 0.18/0.40
% 0.18/0.40 [14] BETA_IMPLY : (big_p(skolem_X44) => (big_q(skolem_X44) | big_r(skolem_X44)))
% 0.18/0.40 -> [18] ~big_p(skolem_X44)
% 0.18/0.40 -> [19] (big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40
% 0.18/0.40 [18] CLOSURE : ~big_p(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [19] BETA_OR : (big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [55] big_q(skolem_X44)
% 0.18/0.40 -> [56] big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [55] GAMMA_FORALL : ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6)))
% 0.18/0.40 -> [57] ((big_q(skolem_X44) | big_r(skolem_X44)) => big_s(skolem_X44))
% 0.18/0.40
% 0.18/0.40 [57] BETA_IMPLY : ((big_q(skolem_X44) | big_r(skolem_X44)) => big_s(skolem_X44))
% 0.18/0.40 -> [58] ~(big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [59] big_s(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [58] ALPHA_NOT_OR : ~(big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [63] ~big_q(skolem_X44), ~big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [63] CLOSURE : ~big_q(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [59] CLOSURE : big_s(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [56] GAMMA_FORALL : ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6)))
% 0.18/0.40 -> [60] ((big_q(skolem_X44) | big_r(skolem_X44)) => big_s(skolem_X44))
% 0.18/0.40
% 0.18/0.40 [60] BETA_IMPLY : ((big_q(skolem_X44) | big_r(skolem_X44)) => big_s(skolem_X44))
% 0.18/0.40 -> [61] ~(big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [62] big_s(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [61] ALPHA_NOT_OR : ~(big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [64] ~big_q(skolem_X44), ~big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [64] CLOSURE : ~big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [62] CLOSURE : big_s(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [12] GAMMA_FORALL : ! [X3_3] : ((big_p(X3_3) => (big_q(X3_3) | big_r(X3_3))))
% 0.18/0.40 -> [17] (big_p(skolem_X44) => (big_q(skolem_X44) | big_r(skolem_X44)))
% 0.18/0.40
% 0.18/0.40 [17] BETA_IMPLY : (big_p(skolem_X44) => (big_q(skolem_X44) | big_r(skolem_X44)))
% 0.18/0.40 -> [20] ~big_p(skolem_X44)
% 0.18/0.40 -> [21] (big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40
% 0.18/0.40 [20] CLOSURE : ~big_p(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [21] BETA_OR : (big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [71] big_q(skolem_X44)
% 0.18/0.40 -> [72] big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [71] CLOSURE : big_q(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [72] GAMMA_FORALL : ! [X6_6] : (((big_q(X6_6) | big_r(X6_6)) => big_s(X6_6)))
% 0.18/0.40 -> [73] ((big_q(skolem_X44) | big_r(skolem_X44)) => big_s(skolem_X44))
% 0.18/0.40
% 0.18/0.40 [73] BETA_IMPLY : ((big_q(skolem_X44) | big_r(skolem_X44)) => big_s(skolem_X44))
% 0.18/0.40 -> [74] ~(big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [75] big_s(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [74] ALPHA_NOT_OR : ~(big_q(skolem_X44) | big_r(skolem_X44))
% 0.18/0.40 -> [76] ~big_q(skolem_X44), ~big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [76] CLOSURE : ~big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [75] GAMMA_NOT_EXISTS : ~? [X7_7] : ((big_p(X7_7) & big_r(X7_7)))
% 0.18/0.40 -> [77] ~(big_p(skolem_X44) & big_r(skolem_X44))
% 0.18/0.40
% 0.18/0.40 [77] BETA_NOT_AND : ~(big_p(skolem_X44) & big_r(skolem_X44))
% 0.18/0.40 -> [78] ~big_p(skolem_X44)
% 0.18/0.40 -> [79] ~big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [78] CLOSURE : ~big_p(skolem_X44)
% 0.18/0.40
% 0.18/0.40 [79] CLOSURE : ~big_r(skolem_X44)
% 0.18/0.40
% 0.18/0.40 % SZS output end Proof for theBenchmark.p
% 0.18/0.40 [0.058595s][1][Res] 289 goroutines created
% 0.18/0.40 ==== Result ====
% 0.18/0.40 [0.058632s][1][Res] VALID
% 0.18/0.40 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------