TSTP Solution File: SEU275+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n013.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 05:56:15 EDT 2022
% Result : Theorem 1.41s 0.73s
% Output : Proof 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n013.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 : Sat Sep 3 11:21:17 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
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 11
% 0.13/0.35 Launch Gotab with destructive = true
% 1.41/0.73 % SZS output start Proof for theBenchmark.p
% 1.41/0.73 [0] ALPHA_AND : (! [A1_1] : ((ordinal(A1_1) => (epsilon_transitive(A1_1) & epsilon_connected(A1_1)))) & ! [A2_2] : (((epsilon_transitive(A2_2) & epsilon_connected(A2_2)) => ordinal(A2_2))) & ! [A3_3] : ((relation(A3_3) => (well_ordering(A3_3) <=> ((((reflexive(A3_3) & transitive(A3_3)) & antisymmetric(A3_3)) & connected(A3_3)) & well_founded_relation(A3_3))))) & ! [A4_4] : (relation(inclusion_relation(A4_4))) & ? [A5_5] : (((epsilon_transitive(A5_5) & epsilon_connected(A5_5)) & ordinal(A5_5))) & ! [A6_6] : (reflexive(inclusion_relation(A6_6))) & ! [A7_7] : (transitive(inclusion_relation(A7_7))) & ! [A8_8] : ((ordinal(A8_8) => connected(inclusion_relation(A8_8)))) & ! [A9_9] : (antisymmetric(inclusion_relation(A9_9))) & ! [A10_10] : ((ordinal(A10_10) => well_founded_relation(inclusion_relation(A10_10)))) & ~! [A11_11] : ((ordinal(A11_11) => well_ordering(inclusion_relation(A11_11)))))
% 1.41/0.73 -> [1] ! [A1_1] : ((ordinal(A1_1) => (epsilon_transitive(A1_1) & epsilon_connected(A1_1)))), ! [A2_2] : (((epsilon_transitive(A2_2) & epsilon_connected(A2_2)) => ordinal(A2_2))), ! [A3_3] : ((relation(A3_3) => (well_ordering(A3_3) <=> ((((reflexive(A3_3) & transitive(A3_3)) & antisymmetric(A3_3)) & connected(A3_3)) & well_founded_relation(A3_3))))), ! [A4_4] : (relation(inclusion_relation(A4_4))), ? [A5_5] : (((epsilon_transitive(A5_5) & epsilon_connected(A5_5)) & ordinal(A5_5))), ! [A6_6] : (reflexive(inclusion_relation(A6_6))), ! [A7_7] : (transitive(inclusion_relation(A7_7))), ! [A8_8] : ((ordinal(A8_8) => connected(inclusion_relation(A8_8)))), ! [A9_9] : (antisymmetric(inclusion_relation(A9_9))), ! [A10_10] : ((ordinal(A10_10) => well_founded_relation(inclusion_relation(A10_10)))), ~! [A11_11] : ((ordinal(A11_11) => well_ordering(inclusion_relation(A11_11))))
% 1.41/0.73
% 1.41/0.73 [1] DELTA_EXISTS : ? [A5_5] : (((epsilon_transitive(A5_5) & epsilon_connected(A5_5)) & ordinal(A5_5)))
% 1.41/0.73 -> [2] ((epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55)) & ordinal(skolem_A55))
% 1.41/0.73
% 1.41/0.73 [2] ALPHA_AND : ((epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55)) & ordinal(skolem_A55))
% 1.41/0.73 -> [3] (epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55)), ordinal(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [3] ALPHA_AND : (epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55))
% 1.41/0.73 -> [4] epsilon_transitive(skolem_A55), epsilon_connected(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [4] DELTA_NOT_FORALL : ~! [A11_11] : ((ordinal(A11_11) => well_ordering(inclusion_relation(A11_11))))
% 1.41/0.73 -> [5] ~(ordinal(skolem_A1111) => well_ordering(inclusion_relation(skolem_A1111)))
% 1.41/0.73
% 1.41/0.73 [5] ALPHA_NOT_IMPLY : ~(ordinal(skolem_A1111) => well_ordering(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [6] ordinal(skolem_A1111), ~well_ordering(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [6] GAMMA_FORALL : ! [A1_1] : ((ordinal(A1_1) => (epsilon_transitive(A1_1) & epsilon_connected(A1_1))))
% 1.41/0.73 -> [7] (ordinal(skolem_A55) => (epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55)))
% 1.41/0.73
% 1.41/0.73 [7] BETA_IMPLY : (ordinal(skolem_A55) => (epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55)))
% 1.41/0.73 -> [8] ~ordinal(skolem_A55)
% 1.41/0.73 -> [9] (epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55))
% 1.41/0.73
% 1.41/0.73 [8] CLOSURE : ~ordinal(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [9] ALPHA_AND : (epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55))
% 1.41/0.73 -> [10] epsilon_transitive(skolem_A55), epsilon_connected(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [10] GAMMA_FORALL : ! [A2_2] : (((epsilon_transitive(A2_2) & epsilon_connected(A2_2)) => ordinal(A2_2)))
% 1.41/0.73 -> [11] ((epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55)) => ordinal(skolem_A55))
% 1.41/0.73
% 1.41/0.73 [11] BETA_IMPLY : ((epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55)) => ordinal(skolem_A55))
% 1.41/0.73 -> [12] ~(epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55))
% 1.41/0.73 -> [13] ordinal(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [12] BETA_NOT_AND : ~(epsilon_transitive(skolem_A55) & epsilon_connected(skolem_A55))
% 1.41/0.73 -> [14] ~epsilon_transitive(skolem_A55)
% 1.41/0.73 -> [15] ~epsilon_connected(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [14] CLOSURE : ~epsilon_transitive(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [15] CLOSURE : ~epsilon_connected(skolem_A55)
% 1.41/0.73
% 1.41/0.73 [13] GAMMA_FORALL : ! [A3_3] : ((relation(A3_3) => (well_ordering(A3_3) <=> ((((reflexive(A3_3) & transitive(A3_3)) & antisymmetric(A3_3)) & connected(A3_3)) & well_founded_relation(A3_3)))))
% 1.41/0.73 -> [16] (relation(inclusion_relation(skolem_A1111)) => (well_ordering(inclusion_relation(skolem_A1111)) <=> ((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111)))))
% 1.41/0.73
% 1.41/0.73 [16] BETA_IMPLY : (relation(inclusion_relation(skolem_A1111)) => (well_ordering(inclusion_relation(skolem_A1111)) <=> ((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111)))))
% 1.41/0.73 -> [17] ~relation(inclusion_relation(skolem_A1111))
% 1.41/0.73 -> [18] (well_ordering(inclusion_relation(skolem_A1111)) <=> ((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111))))
% 1.41/0.73
% 1.41/0.73 [17] GAMMA_FORALL : ! [A4_4] : (relation(inclusion_relation(A4_4)))
% 1.41/0.73 -> [21] relation(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [21] CLOSURE : relation(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [18] BETA_EQUIV : (well_ordering(inclusion_relation(skolem_A1111)) <=> ((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111))))
% 1.41/0.73 -> [97] ~well_ordering(inclusion_relation(skolem_A1111)), ~((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [98] well_ordering(inclusion_relation(skolem_A1111)), ((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111)))
% 1.41/0.73
% 1.41/0.73 [98] ALPHA_AND : ((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [99] (((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))), well_founded_relation(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [99] ALPHA_AND : (((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [104] ((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))), connected(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [104] ALPHA_AND : ((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [110] (reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))), antisymmetric(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [110] ALPHA_AND : (reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [115] reflexive(inclusion_relation(skolem_A1111)), transitive(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [115] CLOSURE : (reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111)))
% 1.41/0.73
% 1.41/0.73 [97] BETA_NOT_AND : ~((((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111))) & well_founded_relation(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [147] ~(((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [148] ~well_founded_relation(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [147] BETA_NOT_AND : ~(((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111))) & connected(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [149] ~((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [150] ~connected(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [150] GAMMA_FORALL : ! [A4_4] : (relation(inclusion_relation(A4_4)))
% 1.41/0.73 -> [156] relation(inclusion_relation(A4_18_3))
% 1.41/0.73
% 1.41/0.73 [156] GAMMA_FORALL : ! [A6_6] : (reflexive(inclusion_relation(A6_6)))
% 1.41/0.73 -> [161] reflexive(inclusion_relation(A6_17_4))
% 1.41/0.73
% 1.41/0.73 [161] GAMMA_FORALL : ! [A7_7] : (transitive(inclusion_relation(A7_7)))
% 1.41/0.73 -> [167] transitive(inclusion_relation(A7_14_5))
% 1.41/0.73
% 1.41/0.73 [167] GAMMA_FORALL : ! [A8_8] : ((ordinal(A8_8) => connected(inclusion_relation(A8_8))))
% 1.41/0.73 -> [170] (ordinal(skolem_A1111) => connected(inclusion_relation(skolem_A1111)))
% 1.41/0.73
% 1.41/0.73 [170] BETA_IMPLY : (ordinal(skolem_A1111) => connected(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [173] ~ordinal(skolem_A1111)
% 1.41/0.73 -> [174] connected(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [173] CLOSURE : ~ordinal(skolem_A1111)
% 1.41/0.73
% 1.41/0.73 [174] CLOSURE : connected(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [149] BETA_NOT_AND : ~((reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111))) & antisymmetric(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [151] ~(reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [152] ~antisymmetric(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [151] BETA_NOT_AND : ~(reflexive(inclusion_relation(skolem_A1111)) & transitive(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [153] ~reflexive(inclusion_relation(skolem_A1111))
% 1.41/0.73 -> [154] ~transitive(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [153] GAMMA_FORALL : ! [A4_4] : (relation(inclusion_relation(A4_4)))
% 1.41/0.73 -> [159] relation(inclusion_relation(A4_21_3))
% 1.41/0.73
% 1.41/0.73 [159] GAMMA_FORALL : ! [A6_6] : (reflexive(inclusion_relation(A6_6)))
% 1.41/0.73 -> [162] reflexive(inclusion_relation(A6_18_4))
% 1.41/0.73
% 1.41/0.73 [162] CLOSURE : reflexive(inclusion_relation(A6_18_4))
% 1.41/0.73
% 1.41/0.73 [154] GAMMA_FORALL : ! [A4_4] : (relation(inclusion_relation(A4_4)))
% 1.41/0.73 -> [158] relation(inclusion_relation(A4_20_3))
% 1.41/0.73
% 1.41/0.73 [158] GAMMA_FORALL : ! [A6_6] : (reflexive(inclusion_relation(A6_6)))
% 1.41/0.73 -> [163] reflexive(inclusion_relation(A6_19_4))
% 1.41/0.73
% 1.41/0.73 [163] GAMMA_FORALL : ! [A7_7] : (transitive(inclusion_relation(A7_7)))
% 1.41/0.73 -> [165] transitive(inclusion_relation(A7_12_5))
% 1.41/0.73
% 1.41/0.73 [165] CLOSURE : transitive(inclusion_relation(A7_12_5))
% 1.41/0.73
% 1.41/0.73 [152] GAMMA_FORALL : ! [A4_4] : (relation(inclusion_relation(A4_4)))
% 1.41/0.73 -> [157] relation(inclusion_relation(A4_19_3))
% 1.41/0.73
% 1.41/0.73 [157] GAMMA_FORALL : ! [A6_6] : (reflexive(inclusion_relation(A6_6)))
% 1.41/0.73 -> [164] reflexive(inclusion_relation(A6_20_4))
% 1.41/0.73
% 1.41/0.73 [164] GAMMA_FORALL : ! [A7_7] : (transitive(inclusion_relation(A7_7)))
% 1.41/0.73 -> [168] transitive(inclusion_relation(A7_15_5))
% 1.41/0.73
% 1.41/0.73 [168] GAMMA_FORALL : ! [A8_8] : ((ordinal(A8_8) => connected(inclusion_relation(A8_8))))
% 1.41/0.73 -> [175] (ordinal(A8_10_6) => connected(inclusion_relation(A8_10_6)))
% 1.41/0.73
% 1.41/0.73 [175] BETA_IMPLY : (ordinal(A8_10_6) => connected(inclusion_relation(A8_10_6)))
% 1.41/0.73 -> [176] ~ordinal(A8_10_6)
% 1.41/0.73 -> [177] connected(inclusion_relation(A8_10_6))
% 1.41/0.73
% 1.41/0.73 [176] CLOSURE : ~ordinal(A8_10_6)
% 1.41/0.73
% 1.41/0.73 [177] GAMMA_FORALL : ! [A9_9] : (antisymmetric(inclusion_relation(A9_9)))
% 1.41/0.73 -> [179] antisymmetric(inclusion_relation(A9_7_7))
% 1.41/0.73
% 1.41/0.73 [179] CLOSURE : antisymmetric(inclusion_relation(A9_7_7))
% 1.41/0.73
% 1.41/0.73 [148] GAMMA_FORALL : ! [A4_4] : (relation(inclusion_relation(A4_4)))
% 1.41/0.73 -> [155] relation(inclusion_relation(A4_17_3))
% 1.41/0.73
% 1.41/0.73 [155] GAMMA_FORALL : ! [A6_6] : (reflexive(inclusion_relation(A6_6)))
% 1.41/0.73 -> [160] reflexive(inclusion_relation(A6_16_4))
% 1.41/0.73
% 1.41/0.73 [160] GAMMA_FORALL : ! [A7_7] : (transitive(inclusion_relation(A7_7)))
% 1.41/0.73 -> [166] transitive(inclusion_relation(A7_13_5))
% 1.41/0.73
% 1.41/0.73 [166] GAMMA_FORALL : ! [A8_8] : ((ordinal(A8_8) => connected(inclusion_relation(A8_8))))
% 1.41/0.73 -> [169] (ordinal(A8_8_6) => connected(inclusion_relation(A8_8_6)))
% 1.41/0.73
% 1.41/0.73 [169] BETA_IMPLY : (ordinal(A8_8_6) => connected(inclusion_relation(A8_8_6)))
% 1.41/0.73 -> [171] ~ordinal(A8_8_6)
% 1.41/0.73 -> [172] connected(inclusion_relation(A8_8_6))
% 1.41/0.73
% 1.41/0.73 [171] CLOSURE : ~ordinal(A8_8_6)
% 1.41/0.73
% 1.41/0.73 [172] GAMMA_FORALL : ! [A9_9] : (antisymmetric(inclusion_relation(A9_9)))
% 1.41/0.73 -> [178] antisymmetric(inclusion_relation(A9_6_7))
% 1.41/0.73
% 1.41/0.73 [178] GAMMA_FORALL : ! [A10_10] : ((ordinal(A10_10) => well_founded_relation(inclusion_relation(A10_10))))
% 1.41/0.73 -> [180] (ordinal(skolem_A1111) => well_founded_relation(inclusion_relation(skolem_A1111)))
% 1.41/0.73
% 1.41/0.73 [180] BETA_IMPLY : (ordinal(skolem_A1111) => well_founded_relation(inclusion_relation(skolem_A1111)))
% 1.41/0.73 -> [181] ~ordinal(skolem_A1111)
% 1.41/0.73 -> [182] well_founded_relation(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [182] CLOSURE : well_founded_relation(inclusion_relation(skolem_A1111))
% 1.41/0.73
% 1.41/0.73 [181] CLOSURE : ~ordinal(skolem_A1111)
% 1.41/0.73
% 1.41/0.73 % SZS output end Proof for theBenchmark.p
% 1.41/0.73 [0.388217s][1][Res] 2332 goroutines created
% 1.41/0.73 ==== Result ====
% 1.41/0.73 [0.388251s][1][Res] VALID
% 1.41/0.73 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------