TSTP Solution File: SYN943+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n028.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 22:25:03 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n028.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 09:46:56 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 2
% 0.12/0.34 Launch Gotab with destructive = true
% 0.19/0.57 % SZS output start Proof for theBenchmark.p
% 0.19/0.58 [0] DELTA_NOT_FORALL : ~! [A6_6] : (? [X7_7, X28_8, X39_9, X410_10, Y11_11] : ((((((p(A6_6) & e(A6_6)) & (e(X7_7) => (g(X7_7) | s(X7_7, f(X7_7))))) & (e(X28_8) => (g(X28_8) | c(f(X28_8))))) & (s(A6_6, Y11_11) => p(Y11_11))) => ((p(X39_9) & g(X39_9)) | (p(X410_10) & c(X410_10))))))
% 0.19/0.58 -> [1] ~? [X7_7, X28_8, X39_9, X410_10, Y11_11] : ((((((p(skolem_A66) & e(skolem_A66)) & (e(X7_7) => (g(X7_7) | s(X7_7, f(X7_7))))) & (e(X28_8) => (g(X28_8) | c(f(X28_8))))) & (s(skolem_A66, Y11_11) => p(Y11_11))) => ((p(X39_9) & g(X39_9)) | (p(X410_10) & c(X410_10)))))
% 0.19/0.58
% 0.19/0.58 [1] GAMMA_NOT_EXISTS : ~? [X7_7, X28_8, X39_9, X410_10, Y11_11] : ((((((p(skolem_A66) & e(skolem_A66)) & (e(X7_7) => (g(X7_7) | s(X7_7, f(X7_7))))) & (e(X28_8) => (g(X28_8) | c(f(X28_8))))) & (s(skolem_A66, Y11_11) => p(Y11_11))) => ((p(X39_9) & g(X39_9)) | (p(X410_10) & c(X410_10)))))
% 0.19/0.58 -> [2] ~(((((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))) & (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))) => ((p(skolem_A66) & g(skolem_A66)) | (p(skolem_A66) & c(skolem_A66))))
% 0.19/0.58
% 0.19/0.58 [2] ALPHA_NOT_IMPLY : ~(((((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))) & (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))) => ((p(skolem_A66) & g(skolem_A66)) | (p(skolem_A66) & c(skolem_A66))))
% 0.19/0.58 -> [3] ((((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))) & (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))), ~((p(skolem_A66) & g(skolem_A66)) | (p(skolem_A66) & c(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [3] ALPHA_AND : ((((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))) & (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66))))
% 0.19/0.58 -> [4] (((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))) & (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))), (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [4] ALPHA_NOT_OR : ~((p(skolem_A66) & g(skolem_A66)) | (p(skolem_A66) & c(skolem_A66)))
% 0.19/0.58 -> [5] ~(p(skolem_A66) & g(skolem_A66)), ~(p(skolem_A66) & c(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [5] ALPHA_AND : (((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))) & (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66)))))
% 0.19/0.58 -> [6] ((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))), (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))
% 0.19/0.58
% 0.19/0.58 [6] ALPHA_AND : ((p(skolem_A66) & e(skolem_A66)) & (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66)))))
% 0.19/0.58 -> [7] (p(skolem_A66) & e(skolem_A66)), (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))
% 0.19/0.58
% 0.19/0.58 [7] ALPHA_AND : (p(skolem_A66) & e(skolem_A66))
% 0.19/0.58 -> [8] p(skolem_A66), e(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [8] BETA_IMPLY : (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))
% 0.19/0.58 -> [9] ~s(skolem_A66, f(skolem_A66))
% 0.19/0.58 -> [10] p(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [9] BETA_NOT_AND : ~(p(skolem_A66) & g(skolem_A66))
% 0.19/0.58 -> [13] ~p(skolem_A66)
% 0.19/0.58 -> [14] ~g(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [14] BETA_NOT_AND : ~(p(skolem_A66) & c(skolem_A66))
% 0.19/0.58 -> [17] ~p(skolem_A66)
% 0.19/0.58 -> [18] ~c(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [17] CLOSURE : ~p(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [18] BETA_IMPLY : (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))
% 0.19/0.58 -> [45] ~e(skolem_A66)
% 0.19/0.58 -> [46] (g(skolem_A66) | c(f(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [45] CLOSURE : ~e(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [46] BETA_IMPLY : (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))
% 0.19/0.58 -> [65] ~e(skolem_A66)
% 0.19/0.58 -> [66] (g(skolem_A66) | s(skolem_A66, f(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [66] BETA_OR : (g(skolem_A66) | c(f(skolem_A66)))
% 0.19/0.58 -> [67] g(skolem_A66)
% 0.19/0.58 -> [68] c(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [67] CLOSURE : g(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [68] BETA_OR : (g(skolem_A66) | s(skolem_A66, f(skolem_A66)))
% 0.19/0.58 -> [79] g(skolem_A66)
% 0.19/0.58 -> [80] s(skolem_A66, f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [80] CLOSURE : s(skolem_A66, f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [79] CLOSURE : g(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [65] CLOSURE : ~e(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [13] CLOSURE : ~p(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [10] BETA_NOT_AND : ~(p(skolem_A66) & g(skolem_A66))
% 0.19/0.58 -> [83] ~p(skolem_A66)
% 0.19/0.58 -> [84] ~g(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [83] CLOSURE : ~p(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [84] BETA_NOT_AND : ~(p(skolem_A66) & c(skolem_A66))
% 0.19/0.58 -> [85] ~p(skolem_A66)
% 0.19/0.58 -> [86] ~c(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [85] CLOSURE : ~p(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [86] BETA_IMPLY : (e(skolem_A66) => (g(skolem_A66) | c(f(skolem_A66))))
% 0.19/0.58 -> [87] ~e(skolem_A66)
% 0.19/0.58 -> [88] (g(skolem_A66) | c(f(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [87] CLOSURE : ~e(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [88] BETA_IMPLY : (e(skolem_A66) => (g(skolem_A66) | s(skolem_A66, f(skolem_A66))))
% 0.19/0.58 -> [89] ~e(skolem_A66)
% 0.19/0.58 -> [90] (g(skolem_A66) | s(skolem_A66, f(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [89] CLOSURE : ~e(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [90] BETA_OR : (g(skolem_A66) | c(f(skolem_A66)))
% 0.19/0.58 -> [91] g(skolem_A66)
% 0.19/0.58 -> [92] c(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [91] CLOSURE : g(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [92] BETA_OR : (g(skolem_A66) | s(skolem_A66, f(skolem_A66)))
% 0.19/0.58 -> [93] g(skolem_A66)
% 0.19/0.58 -> [94] s(skolem_A66, f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [93] CLOSURE : g(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [94] : ~? [X7_7, X28_8, X39_9, X410_10, Y11_11] : ((((((p(skolem_A66) & e(skolem_A66)) & (e(X7_7) => (g(X7_7) | s(X7_7, f(X7_7))))) & (e(X28_8) => (g(X28_8) | c(f(X28_8))))) & (s(skolem_A66, Y11_11) => p(Y11_11))) => ((p(X39_9) & g(X39_9)) | (p(X410_10) & c(X410_10)))))
% 0.19/0.58 -> [95] ~? [X7_7, X28_8, X39_9, X410_10, Y11_11] : ((((((p(skolem_A66) & e(skolem_A66)) & (e(X7_7) => (g(X7_7) | s(X7_7, f(X7_7))))) & (e(X28_8) => (g(X28_8) | c(f(X28_8))))) & (s(skolem_A66, Y11_11) => p(Y11_11))) => ((p(X39_9) & g(X39_9)) | (p(X410_10) & c(X410_10)))))
% 0.19/0.58
% 0.19/0.58 [95] GAMMA_NOT_EXISTS : ~? [X7_7, X28_8, X39_9, X410_10, Y11_11] : ((((((p(skolem_A66) & e(skolem_A66)) & (e(X7_7) => (g(X7_7) | s(X7_7, f(X7_7))))) & (e(X28_8) => (g(X28_8) | c(f(X28_8))))) & (s(skolem_A66, Y11_11) => p(Y11_11))) => ((p(X39_9) & g(X39_9)) | (p(X410_10) & c(X410_10)))))
% 0.19/0.58 -> [96] ~(((((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))) & (e(X28_2_0) => (g(X28_2_0) | c(f(X28_2_0))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))) => ((p(f(skolem_A66)) & g(f(skolem_A66))) | (p(f(skolem_A66)) & c(f(skolem_A66)))))
% 0.19/0.58
% 0.19/0.58 [96] ALPHA_NOT_IMPLY : ~(((((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))) & (e(X28_2_0) => (g(X28_2_0) | c(f(X28_2_0))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))) => ((p(f(skolem_A66)) & g(f(skolem_A66))) | (p(f(skolem_A66)) & c(f(skolem_A66)))))
% 0.19/0.58 -> [97] ((((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))) & (e(X28_2_0) => (g(X28_2_0) | c(f(X28_2_0))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))), ~((p(f(skolem_A66)) & g(f(skolem_A66))) | (p(f(skolem_A66)) & c(f(skolem_A66))))
% 0.19/0.58
% 0.19/0.58 [97] ALPHA_AND : ((((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))) & (e(X28_2_0) => (g(X28_2_0) | c(f(X28_2_0))))) & (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66))))
% 0.19/0.58 -> [98] (((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))) & (e(X28_2_0) => (g(X28_2_0) | c(f(X28_2_0))))), (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [98] ALPHA_NOT_OR : ~((p(f(skolem_A66)) & g(f(skolem_A66))) | (p(f(skolem_A66)) & c(f(skolem_A66))))
% 0.19/0.58 -> [99] ~(p(f(skolem_A66)) & g(f(skolem_A66))), ~(p(f(skolem_A66)) & c(f(skolem_A66)))
% 0.19/0.58
% 0.19/0.58 [99] ALPHA_AND : (((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))) & (e(X28_2_0) => (g(X28_2_0) | c(f(X28_2_0)))))
% 0.19/0.58 -> [100] ((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))), (e(X28_2_0) => (g(X28_2_0) | c(f(X28_2_0))))
% 0.19/0.58
% 0.19/0.58 [100] ALPHA_AND : ((p(skolem_A66) & e(skolem_A66)) & (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0)))))
% 0.19/0.58 -> [101] (p(skolem_A66) & e(skolem_A66)), (e(X7_2_0) => (g(X7_2_0) | s(X7_2_0, f(X7_2_0))))
% 0.19/0.58
% 0.19/0.58 [101] ALPHA_AND : (p(skolem_A66) & e(skolem_A66))
% 0.19/0.58 -> [102] p(skolem_A66), e(skolem_A66)
% 0.19/0.58
% 0.19/0.58 [102] BETA_IMPLY : (s(skolem_A66, f(skolem_A66)) => p(f(skolem_A66)))
% 0.19/0.58 -> [103] ~s(skolem_A66, f(skolem_A66))
% 0.19/0.58 -> [104] p(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [103] CLOSURE : ~s(skolem_A66, f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [104] BETA_NOT_AND : ~(p(f(skolem_A66)) & g(f(skolem_A66)))
% 0.19/0.58 -> [111] ~p(f(skolem_A66))
% 0.19/0.58 -> [112] ~g(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [111] CLOSURE : ~p(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [112] BETA_NOT_AND : ~(p(f(skolem_A66)) & c(f(skolem_A66)))
% 0.19/0.58 -> [115] ~p(f(skolem_A66))
% 0.19/0.58 -> [116] ~c(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [116] CLOSURE : ~c(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 [115] CLOSURE : ~p(f(skolem_A66))
% 0.19/0.58
% 0.19/0.58 % SZS output end Proof for theBenchmark.p
% 0.19/0.58 [0.239656s][1][Res] 1093 goroutines created
% 0.19/0.58 ==== Result ====
% 0.19/0.58 [0.239691s][1][Res] VALID
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------