TSTP Solution File: MGT045+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n011.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 05:15:47 EDT 2022
% Result : Theorem 168.69s 55.12s
% Output : Proof 168.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n011.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 : Fri Sep 2 02:50:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000042s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Conjecture not found
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 9
% 0.13/0.35 Launch Gotab with destructive = true
% 168.69/55.11 % SZS output start Proof for theBenchmark.p
% 168.69/55.12 [0] ALPHA_AND : ((! [X9_9, Y10_10] : ((smaller(X9_9, Y10_10) <=> greater(Y10_10, X9_9))) & ! [X11_11, Y12_12] : (~(greater(X11_11, Y12_12) & greater(Y12_12, X11_11))) & ! [X13_13, Y14_14, Z15_15] : (((greater(X13_13, Y14_14) & greater(Y14_14, Z15_15)) => greater(X13_13, Z15_15))) & ! [X16_16, Y17_17] : (((smaller(X16_16, Y17_17) | =(X16_16, Y17_17)) | greater(X16_16, Y17_17)))) & ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19)))))) & ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22)))) & ~! [X24_24, T025_25, T26_26] : (((organization(X24_24) & greater(age(X24_24, T26_26), age(X24_24, T025_25))) => greater(position(X24_24, T26_26), position(X24_24, T025_25)))))
% 168.69/55.12 -> [1] (! [X9_9, Y10_10] : ((smaller(X9_9, Y10_10) <=> greater(Y10_10, X9_9))) & ! [X11_11, Y12_12] : (~(greater(X11_11, Y12_12) & greater(Y12_12, X11_11))) & ! [X13_13, Y14_14, Z15_15] : (((greater(X13_13, Y14_14) & greater(Y14_14, Z15_15)) => greater(X13_13, Z15_15))) & ! [X16_16, Y17_17] : (((smaller(X16_16, Y17_17) | =(X16_16, Y17_17)) | greater(X16_16, Y17_17)))), ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19)))))), ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22)))), ~! [X24_24, T025_25, T26_26] : (((organization(X24_24) & greater(age(X24_24, T26_26), age(X24_24, T025_25))) => greater(position(X24_24, T26_26), position(X24_24, T025_25))))
% 168.69/55.12
% 168.69/55.12 [1] ALPHA_AND : (! [X9_9, Y10_10] : ((smaller(X9_9, Y10_10) <=> greater(Y10_10, X9_9))) & ! [X11_11, Y12_12] : (~(greater(X11_11, Y12_12) & greater(Y12_12, X11_11))) & ! [X13_13, Y14_14, Z15_15] : (((greater(X13_13, Y14_14) & greater(Y14_14, Z15_15)) => greater(X13_13, Z15_15))) & ! [X16_16, Y17_17] : (((smaller(X16_16, Y17_17) | =(X16_16, Y17_17)) | greater(X16_16, Y17_17))))
% 168.69/55.12 -> [2] ! [X9_9, Y10_10] : ((smaller(X9_9, Y10_10) <=> greater(Y10_10, X9_9))), ! [X11_11, Y12_12] : (~(greater(X11_11, Y12_12) & greater(Y12_12, X11_11))), ! [X13_13, Y14_14, Z15_15] : (((greater(X13_13, Y14_14) & greater(Y14_14, Z15_15)) => greater(X13_13, Z15_15))), ! [X16_16, Y17_17] : (((smaller(X16_16, Y17_17) | =(X16_16, Y17_17)) | greater(X16_16, Y17_17)))
% 168.69/55.12
% 168.69/55.12 [2] DELTA_NOT_FORALL : ~! [X24_24, T025_25, T26_26] : (((organization(X24_24) & greater(age(X24_24, T26_26), age(X24_24, T025_25))) => greater(position(X24_24, T26_26), position(X24_24, T025_25))))
% 168.69/55.12 -> [3] ~((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [3] ALPHA_NOT_IMPLY : ~((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [4] (organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))), ~greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [4] ALPHA_AND : (organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [5] organization(skolem_X2424), greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [5] GAMMA_FORALL : ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19))))))
% 168.69/55.12 -> [6] (organization(skolem_X2424) => ((greater(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))) & (=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => =(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)))))
% 168.69/55.12
% 168.69/55.12 [6] BETA_IMPLY : (organization(skolem_X2424) => ((greater(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))) & (=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => =(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)))))
% 168.69/55.12 -> [7] ~organization(skolem_X2424)
% 168.69/55.12 -> [8] ((greater(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))) & (=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => =(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))))
% 168.69/55.12
% 168.69/55.12 [7] CLOSURE : ~organization(skolem_X2424)
% 168.69/55.12
% 168.69/55.12 [9] BETA_IMPLY : (greater(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)))
% 168.69/55.12 -> [26] ~greater(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0))
% 168.69/55.12 -> [27] greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))
% 168.69/55.12
% 168.69/55.12 [26] BETA_IMPLY : (=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => =(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)))
% 168.69/55.12 -> [28] ~=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0))
% 168.69/55.12 -> [29] =(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))
% 168.69/55.12
% 168.69/55.12 [28] CLOSURE : ~=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0))
% 168.69/55.12
% 168.69/55.12 [30] BETA_IMPLY : ((organization(skolem_X2424) & greater(age(skolem_X2424, T022_2_1), age(skolem_X2424, T022_2_1))) => greater(external_ties(skolem_X2424, T022_2_1), external_ties(skolem_X2424, T022_2_1)))
% 168.69/55.12 -> [37] ~(organization(skolem_X2424) & greater(age(skolem_X2424, T022_2_1), age(skolem_X2424, T022_2_1)))
% 168.69/55.12 -> [38] greater(external_ties(skolem_X2424, T022_2_1), external_ties(skolem_X2424, T022_2_1))
% 168.69/55.12
% 168.69/55.12 [38] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [37] BETA_NOT_AND : ~(organization(skolem_X2424) & greater(age(skolem_X2424, T022_2_1), age(skolem_X2424, T022_2_1)))
% 168.69/55.12 -> [41] ~organization(skolem_X2424)
% 168.69/55.12 -> [42] ~greater(age(skolem_X2424, T022_2_1), age(skolem_X2424, T022_2_1))
% 168.69/55.12
% 168.69/55.12 [41] CLOSURE : ~organization(skolem_X2424)
% 168.69/55.12
% 168.69/55.12 [42] GAMMA_FORALL : ! [X9_9, Y10_10] : ((smaller(X9_9, Y10_10) <=> greater(Y10_10, X9_9)))
% 168.69/55.12 -> [43] (smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) <=> greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [43] BETA_EQUIV : (smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) <=> greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [44] ~smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)), ~greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [45] smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)), greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [44] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [45] GAMMA_FORALL : ! [X11_11, Y12_12] : (~(greater(X11_11, Y12_12) & greater(Y12_12, X11_11)))
% 168.69/55.12 -> [46] ~(greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)) & greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12
% 168.69/55.12 [46] BETA_NOT_AND : ~(greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)) & greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12 -> [47] ~greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [48] ~greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))
% 168.69/55.12
% 168.69/55.12 [47] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [48] GAMMA_FORALL : ! [X13_13, Y14_14, Z15_15] : (((greater(X13_13, Y14_14) & greater(Y14_14, Z15_15)) => greater(X13_13, Z15_15)))
% 168.69/55.12 -> [49] ((greater(position(skolem_X2424, skolem_T2626), Y14_0_4) & greater(Y14_0_4, position(skolem_X2424, skolem_T02525))) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [49] BETA_IMPLY : ((greater(position(skolem_X2424, skolem_T2626), Y14_0_4) & greater(Y14_0_4, position(skolem_X2424, skolem_T02525))) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [50] ~(greater(position(skolem_X2424, skolem_T2626), Y14_0_4) & greater(Y14_0_4, position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [51] greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [51] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [50] BETA_NOT_AND : ~(greater(position(skolem_X2424, skolem_T2626), Y14_0_4) & greater(Y14_0_4, position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [347] ~greater(position(skolem_X2424, skolem_T2626), Y14_0_4)
% 168.69/55.12 -> [348] ~greater(Y14_0_4, position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [348] GAMMA_FORALL : ! [X16_16, Y17_17] : (((smaller(X16_16, Y17_17) | =(X16_16, Y17_17)) | greater(X16_16, Y17_17)))
% 168.69/55.12 -> [354] ((smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) | =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))) | greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12
% 168.69/55.12 [354] BETA_OR : ((smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) | =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))) | greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12 -> [355] (smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) | =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12 -> [356] greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))
% 168.69/55.12
% 168.69/55.12 [356] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [355] BETA_OR : (smaller(age(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T02525)) | =(age(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [357] smaller(age(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [358] =(age(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [358] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [357] : ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19))))))
% 168.69/55.12 -> [366] ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19))))))
% 168.69/55.12
% 168.69/55.12 [366] GAMMA_FORALL : ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19))))))
% 168.69/55.12 -> [367] (organization(skolem_X2424) => ((greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))) & (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))))
% 168.69/55.12
% 168.69/55.12 [367] BETA_IMPLY : (organization(skolem_X2424) => ((greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))) & (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))))
% 168.69/55.12 -> [368] ~organization(skolem_X2424)
% 168.69/55.12 -> [369] ((greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))) & (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))))
% 168.69/55.12
% 168.69/55.12 [368] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [370] BETA_IMPLY : (greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [425] ~greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [426] greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [426] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [425] BETA_IMPLY : (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [433] ~=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [434] =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [434] : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [435] ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12
% 168.69/55.12 [435] GAMMA_FORALL : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [436] ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [436] BETA_IMPLY : ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [437] ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [438] greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [437] BETA_NOT_AND : ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [439] ~organization(skolem_X2424)
% 168.69/55.12 -> [440] ~greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [440] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [439] CLOSURE : ~organization(skolem_X2424)
% 168.69/55.12
% 168.69/55.12 [438] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [433] : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [447] ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12
% 168.69/55.12 [447] GAMMA_FORALL : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [448] ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [448] BETA_IMPLY : ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [449] ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [450] greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [450] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [449] BETA_NOT_AND : ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [451] ~organization(skolem_X2424)
% 168.69/55.12 -> [452] ~greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [451] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [452] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [347] GAMMA_FORALL : ! [X16_16, Y17_17] : (((smaller(X16_16, Y17_17) | =(X16_16, Y17_17)) | greater(X16_16, Y17_17)))
% 168.69/55.12 -> [349] ((smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) | =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))) | greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12
% 168.69/55.12 [349] BETA_OR : ((smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) | =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))) | greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12 -> [350] (smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) | =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12 -> [351] greater(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))
% 168.69/55.12
% 168.69/55.12 [351] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [350] BETA_OR : (smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)) | =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626)))
% 168.69/55.12 -> [352] smaller(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))
% 168.69/55.12 -> [353] =(age(skolem_X2424, skolem_T02525), age(skolem_X2424, skolem_T2626))
% 168.69/55.12
% 168.69/55.12 [353] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [352] : ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19))))))
% 168.69/55.12 -> [359] ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19))))))
% 168.69/55.12
% 168.69/55.12 [359] GAMMA_FORALL : ! [X18_18, T019_19, T20_20] : ((organization(X18_18) => ((greater(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => greater(position(X18_18, T20_20), position(X18_18, T019_19))) & (=(external_ties(X18_18, T20_20), external_ties(X18_18, T019_19)) => =(position(X18_18, T20_20), position(X18_18, T019_19))))))
% 168.69/55.12 -> [360] (organization(skolem_X2424) => ((greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))) & (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))))
% 168.69/55.12
% 168.69/55.12 [360] BETA_IMPLY : (organization(skolem_X2424) => ((greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))) & (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))))
% 168.69/55.12 -> [361] ~organization(skolem_X2424)
% 168.69/55.12 -> [362] ((greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))) & (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))))
% 168.69/55.12
% 168.69/55.12 [361] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [363] BETA_IMPLY : (greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [415] ~greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [416] greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [416] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [415] BETA_IMPLY : (=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)) => =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [453] ~=(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [454] =(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [453] : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [455] ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12
% 168.69/55.12 [455] GAMMA_FORALL : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [456] ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [456] BETA_IMPLY : ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [457] ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [458] greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [458] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [457] BETA_NOT_AND : ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [459] ~organization(skolem_X2424)
% 168.69/55.12 -> [460] ~greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [459] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [460] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [454] : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [461] ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12
% 168.69/55.12 [461] GAMMA_FORALL : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [462] ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [462] BETA_IMPLY : ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [463] ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [464] greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [464] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [463] BETA_NOT_AND : ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [465] ~organization(skolem_X2424)
% 168.69/55.12 -> [466] ~greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [465] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [466] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [27] BETA_IMPLY : (=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0)) => =(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)))
% 168.69/55.12 -> [467] ~=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0))
% 168.69/55.12 -> [468] =(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))
% 168.69/55.12
% 168.69/55.12 [467] CLOSURE : ~=(external_ties(skolem_X2424, T20_0_0), external_ties(skolem_X2424, T20_0_0))
% 168.69/55.12
% 168.69/55.12 [468] GAMMA_FORALL : ! [X21_21, T022_22, T23_23] : (((organization(X21_21) & greater(age(X21_21, T23_23), age(X21_21, T022_22))) => greater(external_ties(X21_21, T23_23), external_ties(X21_21, T022_22))))
% 168.69/55.12 -> [469] ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [469] BETA_IMPLY : ((organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))) => greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [470] ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [471] greater(external_ties(skolem_X2424, skolem_T2626), external_ties(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [470] BETA_NOT_AND : ~(organization(skolem_X2424) & greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [472] ~organization(skolem_X2424)
% 168.69/55.12 -> [473] ~greater(age(skolem_X2424, skolem_T2626), age(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [472] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [473] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [471] GAMMA_FORALL : ! [X9_9, Y10_10] : ((smaller(X9_9, Y10_10) <=> greater(Y10_10, X9_9)))
% 168.69/55.12 -> [474] (smaller(position(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T2626)) <=> greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12
% 168.69/55.12 [474] BETA_EQUIV : (smaller(position(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T2626)) <=> greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525)))
% 168.69/55.12 -> [475] ~smaller(position(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T2626)), ~greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12 -> [476] smaller(position(skolem_X2424, skolem_T02525), position(skolem_X2424, skolem_T2626)), greater(position(skolem_X2424, skolem_T2626), position(skolem_X2424, skolem_T02525))
% 168.69/55.12
% 168.69/55.12 [476] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [475] GAMMA_FORALL : ! [X11_11, Y12_12] : (~(greater(X11_11, Y12_12) & greater(Y12_12, X11_11)))
% 168.69/55.12 -> [477] ~(greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)) & greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)))
% 168.69/55.12
% 168.69/55.12 [477] BETA_NOT_AND : ~(greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)) & greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0)))
% 168.69/55.12 -> [478] ~greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))
% 168.69/55.12 -> [479] ~greater(position(skolem_X2424, T20_0_0), position(skolem_X2424, T20_0_0))
% 168.69/55.12
% 168.69/55.12 [478] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 [479] CLOSURE : =
% 168.69/55.12
% 168.69/55.12 % SZS output end Proof for theBenchmark.p
% 168.69/55.12 [54.767027s][1][Res] 229474 goroutines created
% 168.69/55.12 ==== Result ====
% 168.69/55.12 [54.767069s][1][Res] VALID
% 168.69/55.12 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------