TSTP Solution File: SYN058+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN058+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n027.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 0.20s 0.36s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN058+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n027.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 01:42:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.34 [DMT] DMT loaded with preskolemization
% 0.20/0.34 [EQ] equality loaded.
% 0.20/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.20/0.34 Start search
% 0.20/0.34 nb_step : 1 - limit : 7
% 0.20/0.34 Launch Gotab with destructive = true
% 0.20/0.36 % SZS output start Proof for theBenchmark.p
% 0.20/0.36 [0] ALPHA_AND : (! [X3_3] : ((big_p(X3_3) => ! [Z4_4] : (big_q(Z4_4)))) & (! [X5_5] : ((big_q(X5_5) | big_r(X5_5))) => ? [X16_6] : ((big_q(X16_6) & big_s(X16_6)))) & (? [X7_7] : (big_s(X7_7)) => ! [X18_8] : ((big_f(X18_8) => big_g(X18_8)))) & ~! [X9_9] : (((big_p(X9_9) & big_f(X9_9)) => big_g(X9_9))))
% 0.20/0.36 -> [1] ! [X3_3] : ((big_p(X3_3) => ! [Z4_4] : (big_q(Z4_4)))), (! [X5_5] : ((big_q(X5_5) | big_r(X5_5))) => ? [X16_6] : ((big_q(X16_6) & big_s(X16_6)))), (? [X7_7] : (big_s(X7_7)) => ! [X18_8] : ((big_f(X18_8) => big_g(X18_8)))), ~! [X9_9] : (((big_p(X9_9) & big_f(X9_9)) => big_g(X9_9)))
% 0.20/0.36
% 0.20/0.36 [1] DELTA_NOT_FORALL : ~! [X9_9] : (((big_p(X9_9) & big_f(X9_9)) => big_g(X9_9)))
% 0.20/0.36 -> [2] ~((big_p(skolem_X99) & big_f(skolem_X99)) => big_g(skolem_X99))
% 0.20/0.36
% 0.20/0.36 [2] ALPHA_NOT_IMPLY : ~((big_p(skolem_X99) & big_f(skolem_X99)) => big_g(skolem_X99))
% 0.20/0.36 -> [3] (big_p(skolem_X99) & big_f(skolem_X99)), ~big_g(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [3] ALPHA_AND : (big_p(skolem_X99) & big_f(skolem_X99))
% 0.20/0.36 -> [4] big_p(skolem_X99), big_f(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [4] BETA_IMPLY : (! [X5_5] : ((big_q(X5_5) | big_r(X5_5))) => ? [X16_6] : ((big_q(X16_6) & big_s(X16_6))))
% 0.20/0.36 -> [5] ~! [X5_5] : ((big_q(X5_5) | big_r(X5_5)))
% 0.20/0.36 -> [6] ? [X16_6] : ((big_q(X16_6) & big_s(X16_6)))
% 0.20/0.36
% 0.20/0.36 [6] DELTA_EXISTS : ? [X16_6] : ((big_q(X16_6) & big_s(X16_6)))
% 0.20/0.36 -> [9] (big_q(skolem_X166) & big_s(skolem_X166))
% 0.20/0.36
% 0.20/0.36 [9] ALPHA_AND : (big_q(skolem_X166) & big_s(skolem_X166))
% 0.20/0.36 -> [10] big_q(skolem_X166), big_s(skolem_X166)
% 0.20/0.36
% 0.20/0.36 [10] BETA_IMPLY : (? [X7_7] : (big_s(X7_7)) => ! [X18_8] : ((big_f(X18_8) => big_g(X18_8))))
% 0.20/0.36 -> [11] ~? [X7_7] : (big_s(X7_7))
% 0.20/0.36 -> [12] ! [X18_8] : ((big_f(X18_8) => big_g(X18_8)))
% 0.20/0.36
% 0.20/0.36 [11] GAMMA_FORALL : ! [X3_3] : ((big_p(X3_3) => ! [Z4_4] : (big_q(Z4_4))))
% 0.20/0.36 -> [13] (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36
% 0.20/0.36 [13] BETA_IMPLY : (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36 -> [14] ~big_p(skolem_X99)
% 0.20/0.36 -> [15] ! [Z4_4] : (big_q(Z4_4))
% 0.20/0.36
% 0.20/0.36 [15] GAMMA_NOT_EXISTS : ~? [X7_7] : (big_s(X7_7))
% 0.20/0.36 -> [21] ~big_s(X7_0_1)
% 0.20/0.36
% 0.20/0.36 [21] CLOSURE : ~big_s(X7_0_1)
% 0.20/0.36
% 0.20/0.36 [14] CLOSURE : ~big_p(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [12] GAMMA_FORALL : ! [X3_3] : ((big_p(X3_3) => ! [Z4_4] : (big_q(Z4_4))))
% 0.20/0.36 -> [18] (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36
% 0.20/0.36 [18] BETA_IMPLY : (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36 -> [19] ~big_p(skolem_X99)
% 0.20/0.36 -> [20] ! [Z4_4] : (big_q(Z4_4))
% 0.20/0.36
% 0.20/0.36 [19] CLOSURE : ~big_p(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [20] GAMMA_FORALL : ! [X18_8] : ((big_f(X18_8) => big_g(X18_8)))
% 0.20/0.36 -> [28] (big_f(skolem_X99) => big_g(skolem_X99))
% 0.20/0.36
% 0.20/0.36 [28] BETA_IMPLY : (big_f(skolem_X99) => big_g(skolem_X99))
% 0.20/0.36 -> [29] ~big_f(skolem_X99)
% 0.20/0.36 -> [30] big_g(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [30] CLOSURE : big_g(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [29] CLOSURE : ~big_f(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [5] DELTA_NOT_FORALL : ~! [X5_5] : ((big_q(X5_5) | big_r(X5_5)))
% 0.20/0.36 -> [7] ~(big_q(skolem_X55) | big_r(skolem_X55))
% 0.20/0.36
% 0.20/0.36 [7] ALPHA_NOT_OR : ~(big_q(skolem_X55) | big_r(skolem_X55))
% 0.20/0.36 -> [8] ~big_q(skolem_X55), ~big_r(skolem_X55)
% 0.20/0.36
% 0.20/0.36 [8] BETA_IMPLY : (? [X7_7] : (big_s(X7_7)) => ! [X18_8] : ((big_f(X18_8) => big_g(X18_8))))
% 0.20/0.36 -> [16] ~? [X7_7] : (big_s(X7_7))
% 0.20/0.36 -> [17] ! [X18_8] : ((big_f(X18_8) => big_g(X18_8)))
% 0.20/0.36
% 0.20/0.36 [17] GAMMA_FORALL : ! [X3_3] : ((big_p(X3_3) => ! [Z4_4] : (big_q(Z4_4))))
% 0.20/0.36 -> [25] (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36
% 0.20/0.36 [25] BETA_IMPLY : (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36 -> [26] ~big_p(skolem_X99)
% 0.20/0.36 -> [27] ! [Z4_4] : (big_q(Z4_4))
% 0.20/0.36
% 0.20/0.36 [26] CLOSURE : ~big_p(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [27] GAMMA_FORALL : ! [X18_8] : ((big_f(X18_8) => big_g(X18_8)))
% 0.20/0.36 -> [32] (big_f(skolem_X99) => big_g(skolem_X99))
% 0.20/0.36
% 0.20/0.36 [32] BETA_IMPLY : (big_f(skolem_X99) => big_g(skolem_X99))
% 0.20/0.36 -> [33] ~big_f(skolem_X99)
% 0.20/0.36 -> [34] big_g(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [33] CLOSURE : ~big_f(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [34] CLOSURE : big_g(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [16] GAMMA_FORALL : ! [X3_3] : ((big_p(X3_3) => ! [Z4_4] : (big_q(Z4_4))))
% 0.20/0.36 -> [22] (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36
% 0.20/0.36 [22] BETA_IMPLY : (big_p(skolem_X99) => ! [Z4_4] : (big_q(Z4_4)))
% 0.20/0.36 -> [23] ~big_p(skolem_X99)
% 0.20/0.36 -> [24] ! [Z4_4] : (big_q(Z4_4))
% 0.20/0.36
% 0.20/0.36 [23] CLOSURE : ~big_p(skolem_X99)
% 0.20/0.36
% 0.20/0.36 [24] GAMMA_NOT_EXISTS : ~? [X7_7] : (big_s(X7_7))
% 0.20/0.36 -> [31] ~big_s(X7_1_1)
% 0.20/0.36
% 0.20/0.36 [31] GAMMA_FORALL : ! [Z4_4] : (big_q(Z4_4))
% 0.20/0.36 -> [35] big_q(Z4_0_2)
% 0.20/0.36
% 0.20/0.36 [35] CLOSURE : big_q(Z4_0_2)
% 0.20/0.36
% 0.20/0.36 % SZS output end Proof for theBenchmark.p
% 0.20/0.36 [0.021827s][1][Res] 100 goroutines created
% 0.20/0.36 ==== Result ====
% 0.20/0.36 [0.021877s][1][Res] VALID
% 0.20/0.36 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------