TSTP Solution File: SYN063+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN063+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 22:22:16 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN063+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 01:41:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000048s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 2
% 0.12/0.33 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.35 [0] BETA_NOT_EQUIV : ~(! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(b))) => big_p(c))) <=> ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c)))))
% 0.12/0.35 -> [1] ~! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(b))) => big_p(c))), ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c))))
% 0.12/0.35 -> [2] ! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(b))) => big_p(c))), ~! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c))))
% 0.12/0.35
% 0.12/0.35 [2] DELTA_NOT_FORALL : ~! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c))))
% 0.12/0.35 -> [3] ~(((~big_p(a) | big_p(skolem_X133)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c)))
% 0.12/0.35
% 0.12/0.35 [3] BETA_NOT_AND : ~(((~big_p(a) | big_p(skolem_X133)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c)))
% 0.12/0.35 -> [6] ~((~big_p(a) | big_p(skolem_X133)) | big_p(c))
% 0.12/0.35 -> [7] ~((~big_p(a) | ~big_p(b)) | big_p(c))
% 0.12/0.35
% 0.12/0.35 [6] ALPHA_NOT_OR : ~((~big_p(a) | big_p(skolem_X133)) | big_p(c))
% 0.12/0.35 -> [10] ~(~big_p(a) | big_p(skolem_X133)), ~big_p(c)
% 0.12/0.35
% 0.12/0.35 [10] ALPHA_NOT_OR : ~(~big_p(a) | big_p(skolem_X133))
% 0.12/0.35 -> [11] ~~big_p(a), ~big_p(skolem_X133)
% 0.12/0.35
% 0.12/0.35 [11] ALPHA_NOT_NOT : ~~big_p(a)
% 0.12/0.35 -> [13] big_p(a)
% 0.12/0.35
% 0.12/0.35 [13] GAMMA_FORALL : ! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(b))) => big_p(c)))
% 0.12/0.35 -> [18] ((big_p(a) & (big_p(skolem_X133) => big_p(b))) => big_p(c))
% 0.12/0.35
% 0.12/0.35 [18] BETA_IMPLY : ((big_p(a) & (big_p(skolem_X133) => big_p(b))) => big_p(c))
% 0.12/0.35 -> [20] ~(big_p(a) & (big_p(skolem_X133) => big_p(b)))
% 0.12/0.35 -> [21] big_p(c)
% 0.12/0.35
% 0.12/0.35 [21] CLOSURE : big_p(c)
% 0.12/0.35
% 0.12/0.35 [20] BETA_NOT_AND : ~(big_p(a) & (big_p(skolem_X133) => big_p(b)))
% 0.12/0.35 -> [28] ~big_p(a)
% 0.12/0.35 -> [29] ~(big_p(skolem_X133) => big_p(b))
% 0.12/0.35
% 0.12/0.35 [28] CLOSURE : ~big_p(a)
% 0.12/0.35
% 0.12/0.35 [29] ALPHA_NOT_IMPLY : ~(big_p(skolem_X133) => big_p(b))
% 0.12/0.35 -> [30] big_p(skolem_X133), ~big_p(b)
% 0.12/0.35
% 0.12/0.35 [30] CLOSURE : ~big_p(b)
% 0.12/0.35
% 0.12/0.35 [7] ALPHA_NOT_OR : ~((~big_p(a) | ~big_p(b)) | big_p(c))
% 0.12/0.35 -> [8] ~(~big_p(a) | ~big_p(b)), ~big_p(c)
% 0.12/0.35
% 0.12/0.35 [8] ALPHA_NOT_OR : ~(~big_p(a) | ~big_p(b))
% 0.12/0.35 -> [9] ~~big_p(a), ~~big_p(b)
% 0.12/0.35
% 0.12/0.35 [9] ALPHA_NOT_NOT : ~~big_p(a)
% 0.12/0.35 -> [14] big_p(a)
% 0.12/0.35
% 0.12/0.35 [14] ALPHA_NOT_NOT : ~~big_p(b)
% 0.12/0.35 -> [17] big_p(b)
% 0.12/0.35
% 0.12/0.35 [17] GAMMA_FORALL : ! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(b))) => big_p(c)))
% 0.12/0.35 -> [19] ((big_p(a) & (big_p(X2_1_0) => big_p(b))) => big_p(c))
% 0.12/0.35
% 0.12/0.35 [19] BETA_IMPLY : ((big_p(a) & (big_p(X2_1_0) => big_p(b))) => big_p(c))
% 0.12/0.35 -> [22] ~(big_p(a) & (big_p(X2_1_0) => big_p(b)))
% 0.12/0.35 -> [23] big_p(c)
% 0.12/0.35
% 0.12/0.35 [23] CLOSURE : big_p(c)
% 0.12/0.35
% 0.12/0.35 [22] BETA_NOT_AND : ~(big_p(a) & (big_p(X2_1_0) => big_p(b)))
% 0.12/0.35 -> [31] ~big_p(a)
% 0.12/0.35 -> [32] ~(big_p(X2_1_0) => big_p(b))
% 0.12/0.35
% 0.12/0.35 [31] CLOSURE : ~big_p(a)
% 0.12/0.35
% 0.12/0.35 [32] ALPHA_NOT_IMPLY : ~(big_p(X2_1_0) => big_p(b))
% 0.12/0.35 -> [37] big_p(X2_1_0), ~big_p(b)
% 0.12/0.35
% 0.12/0.35 [37] CLOSURE : ~big_p(b)
% 0.12/0.35
% 0.12/0.35 [1] DELTA_NOT_FORALL : ~! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(b))) => big_p(c)))
% 0.12/0.35 -> [4] ~((big_p(a) & (big_p(skolem_X22) => big_p(b))) => big_p(c))
% 0.12/0.35
% 0.12/0.35 [4] ALPHA_NOT_IMPLY : ~((big_p(a) & (big_p(skolem_X22) => big_p(b))) => big_p(c))
% 0.12/0.35 -> [5] (big_p(a) & (big_p(skolem_X22) => big_p(b))), ~big_p(c)
% 0.12/0.35
% 0.12/0.35 [5] ALPHA_AND : (big_p(a) & (big_p(skolem_X22) => big_p(b)))
% 0.12/0.35 -> [12] big_p(a), (big_p(skolem_X22) => big_p(b))
% 0.12/0.35
% 0.12/0.35 [12] BETA_IMPLY : (big_p(skolem_X22) => big_p(b))
% 0.12/0.35 -> [15] ~big_p(skolem_X22)
% 0.12/0.35 -> [16] big_p(b)
% 0.12/0.35
% 0.12/0.35 [16] GAMMA_FORALL : ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c))))
% 0.12/0.35 -> [25] (((~big_p(a) | big_p(c)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c)))
% 0.12/0.35
% 0.12/0.35 [25] ALPHA_AND : (((~big_p(a) | big_p(c)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c)))
% 0.12/0.35 -> [27] ((~big_p(a) | big_p(c)) | big_p(c)), ((~big_p(a) | ~big_p(b)) | big_p(c))
% 0.12/0.35
% 0.12/0.35 [27] BETA_OR : ((~big_p(a) | big_p(c)) | big_p(c))
% 0.12/0.35 -> [35] (~big_p(a) | big_p(c))
% 0.12/0.35 -> [36] big_p(c)
% 0.12/0.35
% 0.12/0.35 [36] CLOSURE : big_p(c)
% 0.12/0.35
% 0.12/0.35 [35] BETA_OR : ((~big_p(a) | ~big_p(b)) | big_p(c))
% 0.12/0.35 -> [40] (~big_p(a) | ~big_p(b))
% 0.12/0.35 -> [41] big_p(c)
% 0.12/0.35
% 0.12/0.35 [41] CLOSURE : big_p(c)
% 0.12/0.35
% 0.12/0.35 [40] BETA_OR : (~big_p(a) | big_p(c))
% 0.12/0.35 -> [44] ~big_p(a)
% 0.12/0.35 -> [45] big_p(c)
% 0.12/0.35
% 0.12/0.35 [45] CLOSURE : big_p(c)
% 0.12/0.35
% 0.12/0.35 [44] CLOSURE : ~big_p(a)
% 0.12/0.35
% 0.12/0.35 [15] GAMMA_FORALL : ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c))))
% 0.12/0.35 -> [24] (((~big_p(a) | big_p(skolem_X22)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c)))
% 0.12/0.35
% 0.12/0.35 [24] ALPHA_AND : (((~big_p(a) | big_p(skolem_X22)) | big_p(c)) & ((~big_p(a) | ~big_p(b)) | big_p(c)))
% 0.12/0.35 -> [26] ((~big_p(a) | big_p(skolem_X22)) | big_p(c)), ((~big_p(a) | ~big_p(b)) | big_p(c))
% 0.12/0.35
% 0.12/0.35 [26] BETA_OR : ((~big_p(a) | big_p(skolem_X22)) | big_p(c))
% 0.12/0.35 -> [33] (~big_p(a) | big_p(skolem_X22))
% 0.12/0.35 -> [34] big_p(c)
% 0.12/0.35
% 0.12/0.35 [34] CLOSURE : big_p(c)
% 0.12/0.35
% 0.12/0.35 [33] BETA_OR : ((~big_p(a) | ~big_p(b)) | big_p(c))
% 0.12/0.35 -> [38] (~big_p(a) | ~big_p(b))
% 0.12/0.35 -> [39] big_p(c)
% 0.12/0.35
% 0.12/0.35 [39] CLOSURE : big_p(c)
% 0.12/0.35
% 0.12/0.35 [38] BETA_OR : (~big_p(a) | big_p(skolem_X22))
% 0.12/0.35 -> [42] ~big_p(a)
% 0.12/0.35 -> [43] big_p(skolem_X22)
% 0.12/0.35
% 0.12/0.35 [42] CLOSURE : ~big_p(a)
% 0.12/0.35
% 0.12/0.35 [43] CLOSURE : big_p(skolem_X22)
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.017653s][1][Res] 52 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.017688s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------