TSTP Solution File: ITP001+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n012.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 : Sat Sep 17 02:55:28 EDT 2022
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 01:37:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.36 Start search
% 0.13/0.37 nb_step : 1 - limit : 24
% 0.13/0.37 Launch Gotab with destructive = true
% 0.20/0.39 % SZS output start Proof for theBenchmark.p
% 0.20/0.39 [0] ALPHA_AND : (! [A_27a14_14, A_27b15_15, V0f_2E016_16, V1g_2E017_17] : ((! [V2x_2E018_18] : (=(s(A_27b15_15, app_2E2(s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V0f_2E016_16), s(A_27a14_14, V2x_2E018_18))), s(A_27b15_15, app_2E2(s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V1g_2E017_17), s(A_27a14_14, V2x_2E018_18))))) => =(s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V0f_2E016_16), s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V1g_2E017_17)))) & ! [V0_2E019_19, V1_2E020_20] : (((p(s(tyop_2Emin_2Ebool, V0_2E019_19)) <=> p(s(tyop_2Emin_2Ebool, V1_2E020_20))) => =(s(tyop_2Emin_2Ebool, V0_2E019_19), s(tyop_2Emin_2Ebool, V1_2E020_20)))) & p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) & ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)) & ! [V0t_2E021_21] : ((=(s(tyop_2Emin_2Ebool, V0t_2E021_21), s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | =(s(tyop_2Emin_2Ebool, V0t_2E021_21), s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))) & ! [A_27a22_22, V0x_2E023_23] : (=(s(A_27a22_22, app_2E2(s(tyop_2Emin_2Efun(A_27a22_22, A_27a22_22), combin_i_2E0), s(A_27a22_22, V0x_2E023_23))), s(A_27a22_22, V0x_2E023_23))) & ! [A_27a24_24, A_27b25_25, V0x_2E026_26, V1y_2E027_27] : (=(s(A_27a24_24, app_2E2(s(tyop_2Emin_2Efun(A_27b25_25, A_27a24_24), app_2E2(s(tyop_2Emin_2Efun(A_27a24_24, tyop_2Emin_2Efun(A_27b25_25, A_27a24_24)), combin_k_2E0), s(A_27a24_24, V0x_2E026_26))), s(A_27b25_25, V1y_2E027_27))), s(A_27a24_24, V0x_2E026_26))) & ! [A_27a28_28, A_27b29_29, A_27c30_30, V0f_2E031_31, V1g_2E032_32, V2x_2E033_33] : (=(s(A_27c30_30, app_2E2(s(tyop_2Emin_2Efun(A_27a28_28, A_27c30_30), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), tyop_2Emin_2Efun(A_27a28_28, A_27c30_30)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a28_28, tyop_2Emin_2Efun(A_27b29_29, A_27c30_30)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), tyop_2Emin_2Efun(A_27a28_28, A_27c30_30))), combin_s_2E0), s(tyop_2Emin_2Efun(A_27a28_28, tyop_2Emin_2Efun(A_27b29_29, A_27c30_30)), V0f_2E031_31))), s(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), V1g_2E032_32))), s(A_27a28_28, V2x_2E033_33))), s(A_27c30_30, app_2E2(s(tyop_2Emin_2Efun(A_27b29_29, A_27c30_30), app_2E2(s(tyop_2Emin_2Efun(A_27a28_28, tyop_2Emin_2Efun(A_27b29_29, A_27c30_30)), V0f_2E031_31), s(A_27a28_28, V2x_2E033_33))), s(A_27b29_29, app_2E2(s(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), V1g_2E032_32), s(A_27a28_28, V2x_2E033_33))))))) & ! [V0_2E038_38] : ((p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, V0_2E038_38)))) <=> ~p(s(tyop_2Emin_2Ebool, V0_2E038_38)))) & ! [A_27a41_41, V0_2E042_42, V1_2E043_43] : ((p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(A_27a41_41, V0_2E042_42), s(A_27a41_41, V1_2E043_43)))) <=> =(s(A_27a41_41, V0_2E042_42), s(A_27a41_41, V1_2E043_43)))) & ! [X0_2E054_54] : ((~p(s(tyop_2Emin_2Ebool, X0_2E054_54)) <=> p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, X0_2E054_54)))))) & ! [A_27a57_57, X0_2E058_58, X1_2E059_59] : ((=(s(A_27a57_57, X0_2E058_58), s(A_27a57_57, X1_2E059_59)) <=> p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(A_27a57_57, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(A_27a57_57, tyop_2Emin_2Efun(A_27a57_57, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(A_27a57_57, X0_2E058_58))), s(A_27a57_57, X1_2E059_59)))))) & ! [A_27a60_60, X0_2E061_61] : (=(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a60_60, tyop_2Emin_2Ebool), X0_2E061_61))), s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a60_60, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(A_27a60_60, tyop_2Emin_2Ebool), X0_2E061_61))))) & ! [A_27a62_62, X0_2E063_63] : (=(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a62_62, tyop_2Emin_2Ebool), X0_2E063_63))), s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a62_62, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(A_27a62_62, tyop_2Emin_2Ebool), X0_2E063_63))))) & ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))
% 0.20/0.39 -> [1] ! [A_27a14_14, A_27b15_15, V0f_2E016_16, V1g_2E017_17] : ((! [V2x_2E018_18] : (=(s(A_27b15_15, app_2E2(s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V0f_2E016_16), s(A_27a14_14, V2x_2E018_18))), s(A_27b15_15, app_2E2(s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V1g_2E017_17), s(A_27a14_14, V2x_2E018_18))))) => =(s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V0f_2E016_16), s(tyop_2Emin_2Efun(A_27a14_14, A_27b15_15), V1g_2E017_17)))), ! [V0_2E019_19, V1_2E020_20] : (((p(s(tyop_2Emin_2Ebool, V0_2E019_19)) <=> p(s(tyop_2Emin_2Ebool, V1_2E020_20))) => =(s(tyop_2Emin_2Ebool, V0_2E019_19), s(tyop_2Emin_2Ebool, V1_2E020_20)))), p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), ! [V0t_2E021_21] : ((=(s(tyop_2Emin_2Ebool, V0t_2E021_21), s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)) | =(s(tyop_2Emin_2Ebool, V0t_2E021_21), s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))), ! [A_27a22_22, V0x_2E023_23] : (=(s(A_27a22_22, app_2E2(s(tyop_2Emin_2Efun(A_27a22_22, A_27a22_22), combin_i_2E0), s(A_27a22_22, V0x_2E023_23))), s(A_27a22_22, V0x_2E023_23))), ! [A_27a24_24, A_27b25_25, V0x_2E026_26, V1y_2E027_27] : (=(s(A_27a24_24, app_2E2(s(tyop_2Emin_2Efun(A_27b25_25, A_27a24_24), app_2E2(s(tyop_2Emin_2Efun(A_27a24_24, tyop_2Emin_2Efun(A_27b25_25, A_27a24_24)), combin_k_2E0), s(A_27a24_24, V0x_2E026_26))), s(A_27b25_25, V1y_2E027_27))), s(A_27a24_24, V0x_2E026_26))), ! [A_27a28_28, A_27b29_29, A_27c30_30, V0f_2E031_31, V1g_2E032_32, V2x_2E033_33] : (=(s(A_27c30_30, app_2E2(s(tyop_2Emin_2Efun(A_27a28_28, A_27c30_30), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), tyop_2Emin_2Efun(A_27a28_28, A_27c30_30)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a28_28, tyop_2Emin_2Efun(A_27b29_29, A_27c30_30)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), tyop_2Emin_2Efun(A_27a28_28, A_27c30_30))), combin_s_2E0), s(tyop_2Emin_2Efun(A_27a28_28, tyop_2Emin_2Efun(A_27b29_29, A_27c30_30)), V0f_2E031_31))), s(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), V1g_2E032_32))), s(A_27a28_28, V2x_2E033_33))), s(A_27c30_30, app_2E2(s(tyop_2Emin_2Efun(A_27b29_29, A_27c30_30), app_2E2(s(tyop_2Emin_2Efun(A_27a28_28, tyop_2Emin_2Efun(A_27b29_29, A_27c30_30)), V0f_2E031_31), s(A_27a28_28, V2x_2E033_33))), s(A_27b29_29, app_2E2(s(tyop_2Emin_2Efun(A_27a28_28, A_27b29_29), V1g_2E032_32), s(A_27a28_28, V2x_2E033_33))))))), ! [V0_2E038_38] : ((p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, V0_2E038_38)))) <=> ~p(s(tyop_2Emin_2Ebool, V0_2E038_38)))), ! [A_27a41_41, V0_2E042_42, V1_2E043_43] : ((p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(A_27a41_41, V0_2E042_42), s(A_27a41_41, V1_2E043_43)))) <=> =(s(A_27a41_41, V0_2E042_42), s(A_27a41_41, V1_2E043_43)))), ! [X0_2E054_54] : ((~p(s(tyop_2Emin_2Ebool, X0_2E054_54)) <=> p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, X0_2E054_54)))))), ! [A_27a57_57, X0_2E058_58, X1_2E059_59] : ((=(s(A_27a57_57, X0_2E058_58), s(A_27a57_57, X1_2E059_59)) <=> p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(A_27a57_57, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(A_27a57_57, tyop_2Emin_2Efun(A_27a57_57, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(A_27a57_57, X0_2E058_58))), s(A_27a57_57, X1_2E059_59)))))), ! [A_27a60_60, X0_2E061_61] : (=(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a60_60, tyop_2Emin_2Ebool), X0_2E061_61))), s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a60_60, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(A_27a60_60, tyop_2Emin_2Ebool), X0_2E061_61))))), ! [A_27a62_62, X0_2E063_63] : (=(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a62_62, tyop_2Emin_2Ebool), X0_2E063_63))), s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a62_62, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(A_27a62_62, tyop_2Emin_2Ebool), X0_2E063_63))))), ~p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))
% 0.20/0.39
% 0.20/0.39 [1] CLOSURE : p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))
% 0.20/0.39
% 0.20/0.39 % SZS output end Proof for theBenchmark.p
% 0.20/0.39 [0.038640s][1][Res] 3 goroutines created
% 0.20/0.39 ==== Result ====
% 0.20/0.39 [0.038689s][1][Res] VALID
% 0.20/0.39 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------