TSTP Solution File: SYN062+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN062+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n002.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 22:22:15 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN062+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n002.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 01:41:48 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 [0.000050s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 4
% 0.12/0.34 Launch Gotab with destructive = true
% 0.20/0.38 % SZS output start Proof for theBenchmark.p
% 0.20/0.38 [0] ALPHA_AND : (! [X1_1] : (((big_f(X1_1) & (big_g(X1_1) | big_h(X1_1))) => big_i(X1_1))) & ! [X2_2] : (((big_i(X2_2) & big_h(X2_2)) => big_j(X2_2))) & ! [X3_3] : ((big_k(X3_3) => big_h(X3_3))) & ~! [X4_4] : (((big_f(X4_4) & big_k(X4_4)) => big_j(X4_4))))
% 0.20/0.38 -> [1] ! [X1_1] : (((big_f(X1_1) & (big_g(X1_1) | big_h(X1_1))) => big_i(X1_1))), ! [X2_2] : (((big_i(X2_2) & big_h(X2_2)) => big_j(X2_2))), ! [X3_3] : ((big_k(X3_3) => big_h(X3_3))), ~! [X4_4] : (((big_f(X4_4) & big_k(X4_4)) => big_j(X4_4)))
% 0.20/0.38
% 0.20/0.38 [1] DELTA_NOT_FORALL : ~! [X4_4] : (((big_f(X4_4) & big_k(X4_4)) => big_j(X4_4)))
% 0.20/0.38 -> [2] ~((big_f(skolem_X44) & big_k(skolem_X44)) => big_j(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [2] ALPHA_NOT_IMPLY : ~((big_f(skolem_X44) & big_k(skolem_X44)) => big_j(skolem_X44))
% 0.20/0.38 -> [3] (big_f(skolem_X44) & big_k(skolem_X44)), ~big_j(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [3] ALPHA_AND : (big_f(skolem_X44) & big_k(skolem_X44))
% 0.20/0.38 -> [4] big_f(skolem_X44), big_k(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [4] GAMMA_FORALL : ! [X1_1] : (((big_f(X1_1) & (big_g(X1_1) | big_h(X1_1))) => big_i(X1_1)))
% 0.20/0.38 -> [5] ((big_f(skolem_X44) & (big_g(skolem_X44) | big_h(skolem_X44))) => big_i(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [5] BETA_IMPLY : ((big_f(skolem_X44) & (big_g(skolem_X44) | big_h(skolem_X44))) => big_i(skolem_X44))
% 0.20/0.38 -> [6] ~(big_f(skolem_X44) & (big_g(skolem_X44) | big_h(skolem_X44)))
% 0.20/0.38 -> [7] big_i(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [7] GAMMA_FORALL : ! [X2_2] : (((big_i(X2_2) & big_h(X2_2)) => big_j(X2_2)))
% 0.20/0.38 -> [11] ((big_i(skolem_X44) & big_h(skolem_X44)) => big_j(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [11] BETA_IMPLY : ((big_i(skolem_X44) & big_h(skolem_X44)) => big_j(skolem_X44))
% 0.20/0.38 -> [12] ~(big_i(skolem_X44) & big_h(skolem_X44))
% 0.20/0.38 -> [13] big_j(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [13] CLOSURE : big_j(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [12] BETA_NOT_AND : ~(big_i(skolem_X44) & big_h(skolem_X44))
% 0.20/0.38 -> [30] ~big_i(skolem_X44)
% 0.20/0.38 -> [31] ~big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [30] CLOSURE : ~big_i(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [31] GAMMA_FORALL : ! [X3_3] : ((big_k(X3_3) => big_h(X3_3)))
% 0.20/0.38 -> [38] (big_k(skolem_X44) => big_h(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [38] BETA_IMPLY : (big_k(skolem_X44) => big_h(skolem_X44))
% 0.20/0.38 -> [41] ~big_k(skolem_X44)
% 0.20/0.38 -> [42] big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [41] CLOSURE : ~big_k(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [42] CLOSURE : big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [6] BETA_NOT_AND : ~(big_f(skolem_X44) & (big_g(skolem_X44) | big_h(skolem_X44)))
% 0.20/0.38 -> [8] ~big_f(skolem_X44)
% 0.20/0.38 -> [9] ~(big_g(skolem_X44) | big_h(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [8] CLOSURE : ~big_f(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [9] ALPHA_NOT_OR : ~(big_g(skolem_X44) | big_h(skolem_X44))
% 0.20/0.38 -> [10] ~big_g(skolem_X44), ~big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [10] GAMMA_FORALL : ! [X2_2] : (((big_i(X2_2) & big_h(X2_2)) => big_j(X2_2)))
% 0.20/0.38 -> [16] ((big_i(skolem_X44) & big_h(skolem_X44)) => big_j(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [16] BETA_IMPLY : ((big_i(skolem_X44) & big_h(skolem_X44)) => big_j(skolem_X44))
% 0.20/0.38 -> [17] ~(big_i(skolem_X44) & big_h(skolem_X44))
% 0.20/0.38 -> [18] big_j(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [18] CLOSURE : big_j(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [17] BETA_NOT_AND : ~(big_i(skolem_X44) & big_h(skolem_X44))
% 0.20/0.38 -> [32] ~big_i(skolem_X44)
% 0.20/0.38 -> [33] ~big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [33] GAMMA_FORALL : ! [X3_3] : ((big_k(X3_3) => big_h(X3_3)))
% 0.20/0.38 -> [37] (big_k(skolem_X44) => big_h(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [37] BETA_IMPLY : (big_k(skolem_X44) => big_h(skolem_X44))
% 0.20/0.38 -> [39] ~big_k(skolem_X44)
% 0.20/0.38 -> [40] big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [39] CLOSURE : ~big_k(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [40] CLOSURE : big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [32] GAMMA_FORALL : ! [X3_3] : ((big_k(X3_3) => big_h(X3_3)))
% 0.20/0.38 -> [34] (big_k(skolem_X44) => big_h(skolem_X44))
% 0.20/0.38
% 0.20/0.38 [34] BETA_IMPLY : (big_k(skolem_X44) => big_h(skolem_X44))
% 0.20/0.38 -> [35] ~big_k(skolem_X44)
% 0.20/0.38 -> [36] big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [35] CLOSURE : ~big_k(skolem_X44)
% 0.20/0.38
% 0.20/0.38 [36] CLOSURE : big_h(skolem_X44)
% 0.20/0.38
% 0.20/0.38 % SZS output end Proof for theBenchmark.p
% 0.20/0.38 [0.041724s][1][Res] 298 goroutines created
% 0.20/0.38 ==== Result ====
% 0.20/0.38 [0.041760s][1][Res] VALID
% 0.20/0.38 % SZS status Theorem for theBenchmark.p
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