TSTP Solution File: SEU264+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n014.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 : Tue Sep 20 05:56:12 EDT 2022
% Result : Theorem 0.62s 0.60s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU264+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Sep 3 11:16:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 15
% 0.13/0.34 Launch Gotab with destructive = true
% 0.62/0.59 % SZS output start Proof for theBenchmark.p
% 0.62/0.60 [0] ALPHA_AND : (! [A4_4, B5_5, C6_6] : ((element(C6_6, powerset(cartesian_product2(A4_4, B5_5))) => relation(C6_6))) & $true & $true & $true & $true & $true & $true & ! [A7_7, B8_8, C9_9] : ((relation_of2_as_subset(C9_9, A7_7, B8_8) => element(C9_9, powerset(cartesian_product2(A7_7, B8_8))))) & ! [A10_10, B11_11] : (? [C12_12] : (relation_of2(C12_12, A10_10, B11_11))) & ! [A13_13] : (? [B14_14] : (element(B14_14, A13_13))) & ! [A15_15, B16_16] : (? [C17_17] : (relation_of2_as_subset(C17_17, A15_15, B16_16))) & ! [A18_18, B19_19, C20_20] : ((relation_of2_as_subset(C20_20, A18_18, B19_19) <=> relation_of2(C20_20, A18_18, B19_19))) & ! [A21_21, B22_22] : (subset(A21_21, A21_21)) & ! [A23_23, B24_24, C25_25] : ((relation_of2_as_subset(C25_25, A23_23, B24_24) => (subset(relation_dom(C25_25), A23_23) & subset(relation_rng(C25_25), B24_24)))) & ! [A26_26, B27_27, C28_28, D29_29] : ((relation_of2_as_subset(D29_29, C28_28, A26_26) => (subset(relation_rng(D29_29), B27_27) => relation_of2_as_subset(D29_29, C28_28, B27_27)))) & ! [A34_34, B35_35, C36_36] : (((subset(A34_34, B35_35) & subset(B35_35, C36_36)) => subset(A34_34, C36_36))) & ! [A37_37, B38_38] : ((element(A37_37, powerset(B38_38)) <=> subset(A37_37, B38_38))) & ~! [A30_30, B31_31, C32_32, D33_33] : ((relation_of2_as_subset(D33_33, C32_32, A30_30) => (subset(A30_30, B31_31) => relation_of2_as_subset(D33_33, C32_32, B31_31)))))
% 0.62/0.60 -> [1] ! [A4_4, B5_5, C6_6] : ((element(C6_6, powerset(cartesian_product2(A4_4, B5_5))) => relation(C6_6))), $true, ! [A7_7, B8_8, C9_9] : ((relation_of2_as_subset(C9_9, A7_7, B8_8) => element(C9_9, powerset(cartesian_product2(A7_7, B8_8))))), ! [A10_10, B11_11] : (? [C12_12] : (relation_of2(C12_12, A10_10, B11_11))), ! [A13_13] : (? [B14_14] : (element(B14_14, A13_13))), ! [A15_15, B16_16] : (? [C17_17] : (relation_of2_as_subset(C17_17, A15_15, B16_16))), ! [A18_18, B19_19, C20_20] : ((relation_of2_as_subset(C20_20, A18_18, B19_19) <=> relation_of2(C20_20, A18_18, B19_19))), ! [A21_21, B22_22] : (subset(A21_21, A21_21)), ! [A23_23, B24_24, C25_25] : ((relation_of2_as_subset(C25_25, A23_23, B24_24) => (subset(relation_dom(C25_25), A23_23) & subset(relation_rng(C25_25), B24_24)))), ! [A26_26, B27_27, C28_28, D29_29] : ((relation_of2_as_subset(D29_29, C28_28, A26_26) => (subset(relation_rng(D29_29), B27_27) => relation_of2_as_subset(D29_29, C28_28, B27_27)))), ! [A34_34, B35_35, C36_36] : (((subset(A34_34, B35_35) & subset(B35_35, C36_36)) => subset(A34_34, C36_36))), ! [A37_37, B38_38] : ((element(A37_37, powerset(B38_38)) <=> subset(A37_37, B38_38))), ~! [A30_30, B31_31, C32_32, D33_33] : ((relation_of2_as_subset(D33_33, C32_32, A30_30) => (subset(A30_30, B31_31) => relation_of2_as_subset(D33_33, C32_32, B31_31))))
% 0.62/0.60
% 0.62/0.60 [1] DELTA_NOT_FORALL : ~! [A30_30, B31_31, C32_32, D33_33] : ((relation_of2_as_subset(D33_33, C32_32, A30_30) => (subset(A30_30, B31_31) => relation_of2_as_subset(D33_33, C32_32, B31_31))))
% 0.62/0.60 -> [2] ~(relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => (subset(skolem_A3030, skolem_B3131) => relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131)))
% 0.62/0.60
% 0.62/0.60 [2] ALPHA_NOT_IMPLY : ~(relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => (subset(skolem_A3030, skolem_B3131) => relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131)))
% 0.62/0.60 -> [3] relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030), ~(subset(skolem_A3030, skolem_B3131) => relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131))
% 0.62/0.60
% 0.62/0.60 [3] ALPHA_NOT_IMPLY : ~(subset(skolem_A3030, skolem_B3131) => relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131))
% 0.62/0.60 -> [4] subset(skolem_A3030, skolem_B3131), ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [4] GAMMA_FORALL : ! [A4_4, B5_5, C6_6] : ((element(C6_6, powerset(cartesian_product2(A4_4, B5_5))) => relation(C6_6)))
% 0.62/0.60 -> [5] (element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030))) => relation(skolem_D3333))
% 0.62/0.60
% 0.62/0.60 [5] BETA_IMPLY : (element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030))) => relation(skolem_D3333))
% 0.62/0.60 -> [6] ~element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030)))
% 0.62/0.60 -> [7] relation(skolem_D3333)
% 0.62/0.60
% 0.62/0.60 [6] GAMMA_FORALL : ! [A7_7, B8_8, C9_9] : ((relation_of2_as_subset(C9_9, A7_7, B8_8) => element(C9_9, powerset(cartesian_product2(A7_7, B8_8)))))
% 0.62/0.60 -> [8] (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030))))
% 0.62/0.60
% 0.62/0.60 [8] BETA_IMPLY : (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030))))
% 0.62/0.60 -> [9] ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60 -> [10] element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030)))
% 0.62/0.60
% 0.62/0.60 [9] CLOSURE : ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60
% 0.62/0.60 [10] CLOSURE : element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030)))
% 0.62/0.60
% 0.62/0.60 [7] GAMMA_FORALL : ! [A7_7, B8_8, C9_9] : ((relation_of2_as_subset(C9_9, A7_7, B8_8) => element(C9_9, powerset(cartesian_product2(A7_7, B8_8)))))
% 0.62/0.60 -> [11] (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030))))
% 0.62/0.60
% 0.62/0.60 [11] BETA_IMPLY : (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030))))
% 0.62/0.60 -> [12] ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60 -> [13] element(skolem_D3333, powerset(cartesian_product2(skolem_C3232, skolem_A3030)))
% 0.62/0.60
% 0.62/0.60 [12] CLOSURE : ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60
% 0.62/0.60 [13] GAMMA_FORALL : ! [A10_10, B11_11] : (? [C12_12] : (relation_of2(C12_12, A10_10, B11_11)))
% 0.62/0.60 -> [14] ? [C12_12] : (relation_of2(C12_12, A10_0_2, B11_0_2))
% 0.62/0.60
% 0.62/0.60 [14] DELTA_EXISTS : ? [C12_12] : (relation_of2(C12_12, A10_0_2, B11_0_2))
% 0.62/0.60 -> [15] relation_of2(skolem_C1212(A10_0_2, B11_0_2), A10_0_2, B11_0_2)
% 0.62/0.60
% 0.62/0.60 [15] GAMMA_FORALL : ! [A13_13] : (? [B14_14] : (element(B14_14, A13_13)))
% 0.62/0.60 -> [16] ? [B14_14] : (element(B14_14, A13_0_3))
% 0.62/0.60
% 0.62/0.60 [16] DELTA_EXISTS : ? [B14_14] : (element(B14_14, A13_0_3))
% 0.62/0.60 -> [17] element(skolem_B1414(A13_0_3), A13_0_3)
% 0.62/0.60
% 0.62/0.60 [17] GAMMA_FORALL : ! [A15_15, B16_16] : (? [C17_17] : (relation_of2_as_subset(C17_17, A15_15, B16_16)))
% 0.62/0.60 -> [18] ? [C17_17] : (relation_of2_as_subset(C17_17, A15_0_4, B16_0_4))
% 0.62/0.60
% 0.62/0.60 [18] DELTA_EXISTS : ? [C17_17] : (relation_of2_as_subset(C17_17, A15_0_4, B16_0_4))
% 0.62/0.60 -> [19] relation_of2_as_subset(skolem_C1717(A15_0_4, B16_0_4), A15_0_4, B16_0_4)
% 0.62/0.60
% 0.62/0.60 [19] GAMMA_FORALL : ! [A18_18, B19_19, C20_20] : ((relation_of2_as_subset(C20_20, A18_18, B19_19) <=> relation_of2(C20_20, A18_18, B19_19)))
% 0.62/0.60 -> [20] (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131) <=> relation_of2(skolem_D3333, skolem_C3232, skolem_B3131))
% 0.62/0.60
% 0.62/0.60 [20] BETA_EQUIV : (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131) <=> relation_of2(skolem_D3333, skolem_C3232, skolem_B3131))
% 0.62/0.60 -> [21] ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131), ~relation_of2(skolem_D3333, skolem_C3232, skolem_B3131)
% 0.62/0.60 -> [22] relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131), relation_of2(skolem_D3333, skolem_C3232, skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [22] CLOSURE : relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [21] GAMMA_FORALL : ! [A21_21, B22_22] : (subset(A21_21, A21_21))
% 0.62/0.60 -> [23] subset(A21_0_6, A21_0_6)
% 0.62/0.60
% 0.62/0.60 [23] GAMMA_FORALL : ! [A23_23, B24_24, C25_25] : ((relation_of2_as_subset(C25_25, A23_23, B24_24) => (subset(relation_dom(C25_25), A23_23) & subset(relation_rng(C25_25), B24_24))))
% 0.62/0.60 -> [24] (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => (subset(relation_dom(skolem_D3333), skolem_C3232) & subset(relation_rng(skolem_D3333), skolem_A3030)))
% 0.62/0.60
% 0.62/0.60 [24] BETA_IMPLY : (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => (subset(relation_dom(skolem_D3333), skolem_C3232) & subset(relation_rng(skolem_D3333), skolem_A3030)))
% 0.62/0.60 -> [25] ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60 -> [26] (subset(relation_dom(skolem_D3333), skolem_C3232) & subset(relation_rng(skolem_D3333), skolem_A3030))
% 0.62/0.60
% 0.62/0.60 [25] CLOSURE : ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60
% 0.62/0.60 [28] BETA_IMPLY : (relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030) => (subset(relation_rng(skolem_D3333), skolem_B3131) => relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131)))
% 0.62/0.60 -> [35] ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60 -> [36] (subset(relation_rng(skolem_D3333), skolem_B3131) => relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131))
% 0.62/0.60
% 0.62/0.60 [36] BETA_IMPLY : (subset(relation_rng(skolem_D3333), skolem_B3131) => relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131))
% 0.62/0.60 -> [37] ~subset(relation_rng(skolem_D3333), skolem_B3131)
% 0.62/0.60 -> [38] relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [38] CLOSURE : relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [37] GAMMA_FORALL : ! [A34_34, B35_35, C36_36] : (((subset(A34_34, B35_35) & subset(B35_35, C36_36)) => subset(A34_34, C36_36)))
% 0.62/0.60 -> [39] ((subset(relation_rng(skolem_D3333), skolem_A3030) & subset(skolem_A3030, skolem_B3131)) => subset(relation_rng(skolem_D3333), skolem_B3131))
% 0.62/0.60
% 0.62/0.60 [39] BETA_IMPLY : ((subset(relation_rng(skolem_D3333), skolem_A3030) & subset(skolem_A3030, skolem_B3131)) => subset(relation_rng(skolem_D3333), skolem_B3131))
% 0.62/0.60 -> [40] ~(subset(relation_rng(skolem_D3333), skolem_A3030) & subset(skolem_A3030, skolem_B3131))
% 0.62/0.60 -> [41] subset(relation_rng(skolem_D3333), skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [41] CLOSURE : subset(relation_rng(skolem_D3333), skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [40] BETA_NOT_AND : ~(subset(relation_rng(skolem_D3333), skolem_A3030) & subset(skolem_A3030, skolem_B3131))
% 0.62/0.60 -> [44] ~subset(relation_rng(skolem_D3333), skolem_A3030)
% 0.62/0.60 -> [45] ~subset(skolem_A3030, skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [44] CLOSURE : ~subset(relation_rng(skolem_D3333), skolem_A3030)
% 0.62/0.60
% 0.62/0.60 [45] CLOSURE : ~subset(skolem_A3030, skolem_B3131)
% 0.62/0.60
% 0.62/0.60 [35] CLOSURE : ~relation_of2_as_subset(skolem_D3333, skolem_C3232, skolem_A3030)
% 0.62/0.60
% 0.62/0.60 % SZS output end Proof for theBenchmark.p
% 0.62/0.60 [0.253295s][1][Res] 1019 goroutines created
% 0.62/0.60 ==== Result ====
% 0.62/0.60 [0.253334s][1][Res] VALID
% 0.62/0.60 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------