TSTP Solution File: LCL644+1.001 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n008.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 : Sun Sep 18 03:42:49 EDT 2022
% Result : Theorem 0.11s 0.32s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.08 % Command : goeland -dmt -presko -proof %s
% 0.07/0.27 % Computer : n008.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Thu Sep 1 22:56:55 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.07/0.28 [DMT] DMT loaded with preskolemization
% 0.07/0.28 [EQ] equality loaded.
% 0.07/0.28 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.07/0.28 Start search
% 0.07/0.28 nb_step : 1 - limit : 20
% 0.07/0.28 Launch Gotab with destructive = true
% 0.11/0.31 % SZS output start Proof for theBenchmark.p
% 0.11/0.32 [0] ALPHA_NOT_NOT : ~~? [X2_2] : (~((~((! [Y3_3] : (((~r1(X2_2, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(X2_2, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(X2_2, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(X2_2, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(X2_2, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))) | ! [Y18_18] : (((~r1(X2_2, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18))))) | ! [Y20_20] : (((~r1(X2_2, Y20_20) | p1(Y20_20)) | ~(! [X221_21] : ((~r1(Y20_20, X221_21) | p1(X221_21))) & p1(Y20_20))))))
% 0.11/0.32 -> [1] ? [X2_2] : (~((~((! [Y3_3] : (((~r1(X2_2, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(X2_2, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(X2_2, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(X2_2, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(X2_2, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))) | ! [Y18_18] : (((~r1(X2_2, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18))))) | ! [Y20_20] : (((~r1(X2_2, Y20_20) | p1(Y20_20)) | ~(! [X221_21] : ((~r1(Y20_20, X221_21) | p1(X221_21))) & p1(Y20_20))))))
% 0.11/0.32
% 0.11/0.32 [1] DELTA_EXISTS : ? [X2_2] : (~((~((! [Y3_3] : (((~r1(X2_2, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(X2_2, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(X2_2, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(X2_2, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(X2_2, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))) | ! [Y18_18] : (((~r1(X2_2, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18))))) | ! [Y20_20] : (((~r1(X2_2, Y20_20) | p1(Y20_20)) | ~(! [X221_21] : ((~r1(Y20_20, X221_21) | p1(X221_21))) & p1(Y20_20))))))
% 0.11/0.32 -> [2] ~((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))) | ! [Y18_18] : (((~r1(skolem_X22, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18))))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p1(Y20_20)) | ~(! [X221_21] : ((~r1(Y20_20, X221_21) | p1(X221_21))) & p1(Y20_20)))))
% 0.11/0.32
% 0.11/0.32 [2] ALPHA_NOT_OR : ~((~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))) | ! [Y18_18] : (((~r1(skolem_X22, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18))))) | ! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p1(Y20_20)) | ~(! [X221_21] : ((~r1(Y20_20, X221_21) | p1(X221_21))) & p1(Y20_20)))))
% 0.11/0.32 -> [3] ~(~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))) | ! [Y18_18] : (((~r1(skolem_X22, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18))))), ~! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p1(Y20_20)) | ~(! [X221_21] : ((~r1(Y20_20, X221_21) | p1(X221_21))) & p1(Y20_20))))
% 0.11/0.32
% 0.11/0.32 [3] ALPHA_NOT_OR : ~(~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))) | ! [Y18_18] : (((~r1(skolem_X22, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18)))))
% 0.11/0.32 -> [4] ~~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15)))))), ~! [Y18_18] : (((~r1(skolem_X22, Y18_18) | p1(Y18_18)) | ~(! [X219_19] : ((~r1(Y18_18, X219_19) | p1(X219_19))) & p1(Y18_18))))
% 0.11/0.32
% 0.11/0.32 [4] ALPHA_NOT_NOT : ~~((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15))))))
% 0.11/0.32 -> [5] ((! [Y3_3] : (((~r1(skolem_X22, Y3_3) | ~(p2(Y3_3) & ! [X24_4] : ((~r1(Y3_3, X24_4) | p2(X24_4))))) | p1(Y3_3))) | ! [Y5_5] : (((~r1(skolem_X22, Y5_5) | p2(Y5_5)) | ~((p1(Y5_5) & ! [X26_6] : ((~r1(Y5_5, X26_6) | p1(X26_6)))) & p1(Y5_5))))) | ~((! [Y7_7] : ((((~r1(skolem_X22, Y7_7) | ! [X28_8] : (((~r1(Y7_7, X28_8) | ~(p2(X28_8) & ! [Y79_9] : ((~r1(X28_8, Y79_9) | p2(Y79_9))))) | p1(X28_8)))) | p2(Y7_7)) | ~((p1(Y7_7) & ! [X210_10] : ((~r1(Y7_7, X210_10) | p1(X210_10)))) & p1(Y7_7)))) & ! [Y11_11] : ((((~r1(skolem_X22, Y11_11) | ~(p2(Y11_11) & ! [X212_12] : ((~r1(Y11_11, X212_12) | p2(X212_12))))) | p1(Y11_11)) | ! [X213_13] : (((~r1(Y11_11, X213_13) | p2(X213_13)) | ~((p1(X213_13) & ! [Y1114_14] : ((~r1(X213_13, Y1114_14) | p1(Y1114_14)))) & p1(X213_13))))))) & ! [Y15_15] : (((((~r1(skolem_X22, Y15_15) | ~(p2(Y15_15) & ! [X216_16] : ((~r1(Y15_15, X216_16) | p2(X216_16))))) | p1(Y15_15)) | p2(Y15_15)) | ~((p1(Y15_15) & ! [X217_17] : ((~r1(Y15_15, X217_17) | p1(X217_17)))) & p1(Y15_15))))))
% 0.11/0.32
% 0.11/0.32 [5] DELTA_NOT_FORALL : ~! [Y20_20] : (((~r1(skolem_X22, Y20_20) | p1(Y20_20)) | ~(! [X221_21] : ((~r1(Y20_20, X221_21) | p1(X221_21))) & p1(Y20_20))))
% 0.11/0.32 -> [6] ~((~r1(skolem_X22, skolem_Y2020) | p1(skolem_Y2020)) | ~(! [X221_21] : ((~r1(skolem_Y2020, X221_21) | p1(X221_21))) & p1(skolem_Y2020)))
% 0.11/0.32
% 0.11/0.32 [6] ALPHA_NOT_OR : ~((~r1(skolem_X22, skolem_Y2020) | p1(skolem_Y2020)) | ~(! [X221_21] : ((~r1(skolem_Y2020, X221_21) | p1(X221_21))) & p1(skolem_Y2020)))
% 0.11/0.32 -> [7] ~(~r1(skolem_X22, skolem_Y2020) | p1(skolem_Y2020)), ~~(! [X221_21] : ((~r1(skolem_Y2020, X221_21) | p1(X221_21))) & p1(skolem_Y2020))
% 0.11/0.32
% 0.11/0.32 [7] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y2020) | p1(skolem_Y2020))
% 0.11/0.32 -> [8] ~~r1(skolem_X22, skolem_Y2020), ~p1(skolem_Y2020)
% 0.11/0.32
% 0.11/0.32 [8] ALPHA_NOT_NOT : ~~(! [X221_21] : ((~r1(skolem_Y2020, X221_21) | p1(X221_21))) & p1(skolem_Y2020))
% 0.11/0.32 -> [9] (! [X221_21] : ((~r1(skolem_Y2020, X221_21) | p1(X221_21))) & p1(skolem_Y2020))
% 0.11/0.32
% 0.11/0.32 [9] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y2020)
% 0.11/0.32 -> [10] r1(skolem_X22, skolem_Y2020)
% 0.11/0.32
% 0.11/0.32 [10] ALPHA_AND : (! [X221_21] : ((~r1(skolem_Y2020, X221_21) | p1(X221_21))) & p1(skolem_Y2020))
% 0.11/0.32 -> [11] ! [X221_21] : ((~r1(skolem_Y2020, X221_21) | p1(X221_21))), p1(skolem_Y2020)
% 0.11/0.32
% 0.11/0.32 [11] CLOSURE : p1(skolem_Y2020)
% 0.11/0.32
% 0.11/0.32 % SZS output end Proof for theBenchmark.p
% 0.11/0.32 [0.042265s][1][Res] 1 goroutines created
% 0.11/0.32 ==== Result ====
% 0.11/0.32 [0.042308s][1][Res] VALID
% 0.11/0.32 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------