TSTP Solution File: SYN057+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n014.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 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN057+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n014.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 01:27:29 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
% 0.19/0.43 % SZS output start Proof for theBenchmark.p
% 0.19/0.43 [0] ALPHA_AND : (? [X2_2] : ((big_f(X2_2) & ~big_g(X2_2))) & ! [X3_3] : ((big_f(X3_3) => big_h(X3_3))) & ! [X4_4] : (((big_j(X4_4) & big_i(X4_4)) => big_f(X4_4))) & (? [X5_5] : ((big_h(X5_5) & ~big_g(X5_5))) => ! [X16_6] : ((big_i(X16_6) => ~big_h(X16_6)))) & ~! [X7_7] : ((big_j(X7_7) => ~big_i(X7_7))))
% 0.19/0.43 -> [1] ? [X2_2] : ((big_f(X2_2) & ~big_g(X2_2))), ! [X3_3] : ((big_f(X3_3) => big_h(X3_3))), ! [X4_4] : (((big_j(X4_4) & big_i(X4_4)) => big_f(X4_4))), (? [X5_5] : ((big_h(X5_5) & ~big_g(X5_5))) => ! [X16_6] : ((big_i(X16_6) => ~big_h(X16_6)))), ~! [X7_7] : ((big_j(X7_7) => ~big_i(X7_7)))
% 0.19/0.43
% 0.19/0.43 [1] DELTA_EXISTS : ? [X2_2] : ((big_f(X2_2) & ~big_g(X2_2)))
% 0.19/0.43 -> [2] (big_f(skolem_X22) & ~big_g(skolem_X22))
% 0.19/0.43
% 0.19/0.43 [2] ALPHA_AND : (big_f(skolem_X22) & ~big_g(skolem_X22))
% 0.19/0.43 -> [3] big_f(skolem_X22), ~big_g(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [3] DELTA_NOT_FORALL : ~! [X7_7] : ((big_j(X7_7) => ~big_i(X7_7)))
% 0.19/0.43 -> [4] ~(big_j(skolem_X77) => ~big_i(skolem_X77))
% 0.19/0.43
% 0.19/0.43 [4] ALPHA_NOT_IMPLY : ~(big_j(skolem_X77) => ~big_i(skolem_X77))
% 0.19/0.43 -> [5] big_j(skolem_X77), ~~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [5] ALPHA_NOT_NOT : ~~big_i(skolem_X77)
% 0.19/0.43 -> [6] big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [6] BETA_IMPLY : (? [X5_5] : ((big_h(X5_5) & ~big_g(X5_5))) => ! [X16_6] : ((big_i(X16_6) => ~big_h(X16_6))))
% 0.19/0.43 -> [7] ~? [X5_5] : ((big_h(X5_5) & ~big_g(X5_5)))
% 0.19/0.43 -> [8] ! [X16_6] : ((big_i(X16_6) => ~big_h(X16_6)))
% 0.19/0.43
% 0.19/0.43 [7] GAMMA_FORALL : ! [X3_3] : ((big_f(X3_3) => big_h(X3_3)))
% 0.19/0.43 -> [10] (big_f(skolem_X22) => big_h(skolem_X22))
% 0.19/0.43
% 0.19/0.43 [10] BETA_IMPLY : (big_f(skolem_X22) => big_h(skolem_X22))
% 0.19/0.43 -> [11] ~big_f(skolem_X22)
% 0.19/0.43 -> [12] big_h(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [11] CLOSURE : ~big_f(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [12] GAMMA_FORALL : ! [X4_4] : (((big_j(X4_4) & big_i(X4_4)) => big_f(X4_4)))
% 0.19/0.43 -> [15] ((big_j(skolem_X77) & big_i(skolem_X77)) => big_f(skolem_X77))
% 0.19/0.43
% 0.19/0.43 [15] BETA_IMPLY : ((big_j(skolem_X77) & big_i(skolem_X77)) => big_f(skolem_X77))
% 0.19/0.43 -> [16] ~(big_j(skolem_X77) & big_i(skolem_X77))
% 0.19/0.43 -> [17] big_f(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [16] BETA_NOT_AND : ~(big_j(skolem_X77) & big_i(skolem_X77))
% 0.19/0.43 -> [21] ~big_j(skolem_X77)
% 0.19/0.43 -> [22] ~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [22] CLOSURE : ~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [21] CLOSURE : ~big_j(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [25] BETA_NOT_AND : ~(big_h(skolem_X22) & ~big_g(skolem_X22))
% 0.19/0.43 -> [34] ~big_h(skolem_X22)
% 0.19/0.43 -> [35] ~~big_g(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [35] ALPHA_NOT_NOT : ~~big_g(skolem_X22)
% 0.19/0.43 -> [36] big_g(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [36] CLOSURE : big_g(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [34] CLOSURE : ~big_h(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [8] GAMMA_FORALL : ! [X3_3] : ((big_f(X3_3) => big_h(X3_3)))
% 0.19/0.43 -> [9] (big_f(skolem_X22) => big_h(skolem_X22))
% 0.19/0.43
% 0.19/0.43 [9] BETA_IMPLY : (big_f(skolem_X22) => big_h(skolem_X22))
% 0.19/0.43 -> [13] ~big_f(skolem_X22)
% 0.19/0.43 -> [14] big_h(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [13] CLOSURE : ~big_f(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [18] BETA_IMPLY : ((big_j(skolem_X77) & big_i(skolem_X77)) => big_f(skolem_X77))
% 0.19/0.43 -> [37] ~(big_j(skolem_X77) & big_i(skolem_X77))
% 0.19/0.43 -> [38] big_f(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [37] BETA_NOT_AND : ~(big_j(skolem_X77) & big_i(skolem_X77))
% 0.19/0.43 -> [39] ~big_j(skolem_X77)
% 0.19/0.43 -> [40] ~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [40] CLOSURE : ~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [39] CLOSURE : ~big_j(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [38] GAMMA_FORALL : ! [X16_6] : ((big_i(X16_6) => ~big_h(X16_6)))
% 0.19/0.43 -> [41] (big_i(skolem_X22) => ~big_h(skolem_X22))
% 0.19/0.43
% 0.19/0.43 [41] BETA_IMPLY : (big_i(skolem_X22) => ~big_h(skolem_X22))
% 0.19/0.43 -> [42] ~big_i(skolem_X22)
% 0.19/0.43 -> [43] ~big_h(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [43] CLOSURE : ~big_h(skolem_X22)
% 0.19/0.43
% 0.19/0.43 [42] : ! [X3_3] : ((big_f(X3_3) => big_h(X3_3)))
% 0.19/0.43 -> [44] ! [X3_3] : ((big_f(X3_3) => big_h(X3_3)))
% 0.19/0.43
% 0.19/0.43 [44] GAMMA_FORALL : ! [X3_3] : ((big_f(X3_3) => big_h(X3_3)))
% 0.19/0.43 -> [45] (big_f(skolem_X77) => big_h(skolem_X77))
% 0.19/0.43
% 0.19/0.43 [45] BETA_IMPLY : (big_f(skolem_X77) => big_h(skolem_X77))
% 0.19/0.43 -> [46] ~big_f(skolem_X77)
% 0.19/0.43 -> [47] big_h(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [47] : ! [X4_4] : (((big_j(X4_4) & big_i(X4_4)) => big_f(X4_4)))
% 0.19/0.43 -> [48] ! [X4_4] : (((big_j(X4_4) & big_i(X4_4)) => big_f(X4_4)))
% 0.19/0.43
% 0.19/0.43 [48] GAMMA_FORALL : ! [X4_4] : (((big_j(X4_4) & big_i(X4_4)) => big_f(X4_4)))
% 0.19/0.43 -> [49] ((big_j(skolem_X77) & big_i(skolem_X77)) => big_f(skolem_X77))
% 0.19/0.43
% 0.19/0.43 [49] BETA_IMPLY : ((big_j(skolem_X77) & big_i(skolem_X77)) => big_f(skolem_X77))
% 0.19/0.43 -> [50] ~(big_j(skolem_X77) & big_i(skolem_X77))
% 0.19/0.43 -> [51] big_f(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [50] BETA_NOT_AND : ~(big_j(skolem_X77) & big_i(skolem_X77))
% 0.19/0.43 -> [52] ~big_j(skolem_X77)
% 0.19/0.43 -> [53] ~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [53] CLOSURE : ~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [52] CLOSURE : ~big_j(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [55] BETA_IMPLY : (big_i(skolem_X77) => ~big_h(skolem_X77))
% 0.19/0.43 -> [58] ~big_i(skolem_X77)
% 0.19/0.43 -> [59] ~big_h(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [59] CLOSURE : ~big_h(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [58] CLOSURE : ~big_i(skolem_X77)
% 0.19/0.43
% 0.19/0.43 [46] CLOSURE : ~big_f(skolem_X77)
% 0.19/0.43
% 0.19/0.43 % SZS output end Proof for theBenchmark.p
% 0.19/0.43 [0.095715s][1][Res] 673 goroutines created
% 0.19/0.43 ==== Result ====
% 0.19/0.43 [0.095748s][1][Res] VALID
% 0.19/0.43 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------