TSTP Solution File: SEU280+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n006.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 05:56:17 EDT 2022
% Result : Theorem 5.60s 2.25s
% Output : Proof 5.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n006.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 11:28:23 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 [0.000073s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 12
% 0.13/0.35 Launch Gotab with destructive = true
% 5.60/2.24 % SZS output start Proof for theBenchmark.p
% 5.60/2.25 [0] ALPHA_AND : (! [A7_7] : (((epsilon_transitive(A7_7) & epsilon_connected(A7_7)) => ordinal(A7_7))) & ? [A8_8] : (((epsilon_transitive(A8_8) & epsilon_connected(A8_8)) & ordinal(A8_8))) & ! [A9_9, B10_10] : ((in(A9_9, B10_10) => ~in(B10_10, A9_9))) & ! [A11_11] : ((ordinal(A11_11) => (epsilon_transitive(A11_11) & epsilon_connected(A11_11)))) & ! [A12_12] : ((! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, A12_12) & =(D18_18, C17_17)) & ordinal(C17_17)))))))) & ~! [A4_4] : (? [B5_5] : (! [C6_6] : ((in(C6_6, B5_5) <=> (in(C6_6, A4_4) & ordinal(C6_6)))))))
% 5.60/2.25 -> [1] ! [A7_7] : (((epsilon_transitive(A7_7) & epsilon_connected(A7_7)) => ordinal(A7_7))), ? [A8_8] : (((epsilon_transitive(A8_8) & epsilon_connected(A8_8)) & ordinal(A8_8))), ! [A9_9, B10_10] : ((in(A9_9, B10_10) => ~in(B10_10, A9_9))), ! [A11_11] : ((ordinal(A11_11) => (epsilon_transitive(A11_11) & epsilon_connected(A11_11)))), ! [A12_12] : ((! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, A12_12) & =(D18_18, C17_17)) & ordinal(C17_17)))))))), ~! [A4_4] : (? [B5_5] : (! [C6_6] : ((in(C6_6, B5_5) <=> (in(C6_6, A4_4) & ordinal(C6_6))))))
% 5.60/2.25
% 5.60/2.25 [1] DELTA_EXISTS : ? [A8_8] : (((epsilon_transitive(A8_8) & epsilon_connected(A8_8)) & ordinal(A8_8)))
% 5.60/2.25 -> [2] ((epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88)) & ordinal(skolem_A88))
% 5.60/2.25
% 5.60/2.25 [2] ALPHA_AND : ((epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88)) & ordinal(skolem_A88))
% 5.60/2.25 -> [3] (epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88)), ordinal(skolem_A88)
% 5.60/2.25
% 5.60/2.25 [3] ALPHA_AND : (epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88))
% 5.60/2.25 -> [4] epsilon_transitive(skolem_A88), epsilon_connected(skolem_A88)
% 5.60/2.25
% 5.60/2.25 [4] DELTA_NOT_FORALL : ~! [A4_4] : (? [B5_5] : (! [C6_6] : ((in(C6_6, B5_5) <=> (in(C6_6, A4_4) & ordinal(C6_6))))))
% 5.60/2.25 -> [5] ~? [B5_5] : (! [C6_6] : ((in(C6_6, B5_5) <=> (in(C6_6, skolem_A44) & ordinal(C6_6)))))
% 5.60/2.25
% 5.60/2.25 [5] GAMMA_FORALL : ! [A7_7] : (((epsilon_transitive(A7_7) & epsilon_connected(A7_7)) => ordinal(A7_7)))
% 5.60/2.25 -> [6] ((epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88)) => ordinal(skolem_A88))
% 5.60/2.25
% 5.60/2.25 [6] BETA_IMPLY : ((epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88)) => ordinal(skolem_A88))
% 5.60/2.25 -> [7] ~(epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88))
% 5.60/2.25 -> [8] ordinal(skolem_A88)
% 5.60/2.25
% 5.60/2.25 [7] BETA_NOT_AND : ~(epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88))
% 5.60/2.25 -> [9] ~epsilon_transitive(skolem_A88)
% 5.60/2.25 -> [10] ~epsilon_connected(skolem_A88)
% 5.60/2.25
% 5.60/2.25 [9] CLOSURE : ~epsilon_transitive(skolem_A88)
% 5.60/2.25
% 5.60/2.25 [10] CLOSURE : ~epsilon_connected(skolem_A88)
% 5.60/2.25
% 5.60/2.25 [11] BETA_IMPLY : (in(skolem_A44, skolem_C66(skolem_A44)) => ~in(skolem_C66(skolem_A44), skolem_A44))
% 5.60/2.25 -> [114] ~in(skolem_A44, skolem_C66(skolem_A44))
% 5.60/2.25 -> [115] ~in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25
% 5.60/2.25 [115] GAMMA_FORALL : ! [A11_11] : ((ordinal(A11_11) => (epsilon_transitive(A11_11) & epsilon_connected(A11_11))))
% 5.60/2.25 -> [117] (ordinal(skolem_A88) => (epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88)))
% 5.60/2.25
% 5.60/2.25 [117] BETA_IMPLY : (ordinal(skolem_A88) => (epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88)))
% 5.60/2.25 -> [120] ~ordinal(skolem_A88)
% 5.60/2.25 -> [121] (epsilon_transitive(skolem_A88) & epsilon_connected(skolem_A88))
% 5.60/2.25
% 5.60/2.25 [120] CLOSURE : ~ordinal(skolem_A88)
% 5.60/2.25
% 5.60/2.25 [125] BETA_IMPLY : (! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, A12_4_3) & =(D18_18, C17_17)) & ordinal(C17_17)))))))
% 5.60/2.25 -> [152] ~! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15)))
% 5.60/2.25 -> [153] ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, A12_4_3) & =(D18_18, C17_17)) & ordinal(C17_17))))))
% 5.60/2.25
% 5.60/2.25 [153] DELTA_EXISTS : ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, A12_4_3) & =(D18_18, C17_17)) & ordinal(C17_17))))))
% 5.60/2.25 -> [154] ! [C17_17] : ((in(C17_17, skolem_B1616(A12_4_3)) <=> ? [D18_18] : (((in(D18_18, A12_4_3) & =(D18_18, C17_17)) & ordinal(C17_17)))))
% 5.60/2.25
% 5.60/2.25 [154] GAMMA_NOT_EXISTS : ~? [B5_5] : (! [C6_6] : ((in(C6_6, B5_5) <=> (in(C6_6, skolem_A44) & ordinal(C6_6)))))
% 5.60/2.25 -> [158] ~! [C6_6] : ((in(C6_6, skolem_A44) <=> (in(C6_6, skolem_A44) & ordinal(C6_6))))
% 5.60/2.25
% 5.60/2.25 [158] DELTA_NOT_FORALL : ~! [C6_6] : ((in(C6_6, skolem_A44) <=> (in(C6_6, skolem_A44) & ordinal(C6_6))))
% 5.60/2.25 -> [160] ~(in(skolem_C66(skolem_A44), skolem_A44) <=> (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 [160] BETA_NOT_EQUIV : ~(in(skolem_C66(skolem_A44), skolem_A44) <=> (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44))))
% 5.60/2.25 -> [161] ~in(skolem_C66(skolem_A44), skolem_A44), (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [162] in(skolem_C66(skolem_A44), skolem_A44), ~(in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [161] ALPHA_AND : (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [171] in(skolem_C66(skolem_A44), skolem_A44), ordinal(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [171] CLOSURE : in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25
% 5.60/2.25 [162] CLOSURE : in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25
% 5.60/2.25 [152] DELTA_NOT_FORALL : ~! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15)))
% 5.60/2.25 -> [155] ~((((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)) => =(skolem_C1414, skolem_D1515))
% 5.60/2.25
% 5.60/2.25 [155] ALPHA_NOT_IMPLY : ~((((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)) => =(skolem_C1414, skolem_D1515))
% 5.60/2.25 -> [159] (((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)), ~=(skolem_C1414, skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [159] ALPHA_AND : (((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515))
% 5.60/2.25 -> [168] ((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)), ordinal(skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [168] ALPHA_AND : ((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515))
% 5.60/2.25 -> [174] (=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)), =(skolem_B1313, skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [174] ALPHA_AND : (=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414))
% 5.60/2.25 -> [176] =(skolem_B1313, skolem_C1414), ordinal(skolem_C1414)
% 5.60/2.25
% 5.60/2.25 [176] CLOSURE : =
% 5.60/2.25
% 5.60/2.25 [116] BETA_IMPLY : (ordinal(skolem_C66(skolem_A44)) => (epsilon_transitive(skolem_C66(skolem_A44)) & epsilon_connected(skolem_C66(skolem_A44))))
% 5.60/2.25 -> [178] ~ordinal(skolem_C66(skolem_A44))
% 5.60/2.25 -> [179] (epsilon_transitive(skolem_C66(skolem_A44)) & epsilon_connected(skolem_C66(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [179] ALPHA_AND : (epsilon_transitive(skolem_C66(skolem_A44)) & epsilon_connected(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [180] epsilon_transitive(skolem_C66(skolem_A44)), epsilon_connected(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [180] GAMMA_FORALL : ! [A12_12] : ((! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, A12_12) & =(D18_18, C17_17)) & ordinal(C17_17))))))))
% 5.60/2.25 -> [181] (! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))))
% 5.60/2.25
% 5.60/2.25 [181] BETA_IMPLY : (! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))))
% 5.60/2.25 -> [182] ~! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15)))
% 5.60/2.25 -> [183] ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17))))))
% 5.60/2.25
% 5.60/2.25 [182] DELTA_NOT_FORALL : ~! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15)))
% 5.60/2.25 -> [184] ~((((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)) => =(skolem_C1414, skolem_D1515))
% 5.60/2.25
% 5.60/2.25 [184] ALPHA_NOT_IMPLY : ~((((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)) => =(skolem_C1414, skolem_D1515))
% 5.60/2.25 -> [186] (((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)), ~=(skolem_C1414, skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [186] ALPHA_AND : (((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515))
% 5.60/2.25 -> [191] ((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)), ordinal(skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [191] ALPHA_AND : ((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515))
% 5.60/2.25 -> [195] (=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)), =(skolem_B1313, skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [195] ALPHA_AND : (=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414))
% 5.60/2.25 -> [202] =(skolem_B1313, skolem_C1414), ordinal(skolem_C1414)
% 5.60/2.25
% 5.60/2.25 [202] CLOSURE : =
% 5.60/2.25
% 5.60/2.25 [183] DELTA_EXISTS : ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17))))))
% 5.60/2.25 -> [185] ! [C17_17] : ((in(C17_17, skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))
% 5.60/2.25
% 5.60/2.25 [185] GAMMA_NOT_EXISTS : ~? [B5_5] : (! [C6_6] : ((in(C6_6, B5_5) <=> (in(C6_6, skolem_A44) & ordinal(C6_6)))))
% 5.60/2.25 -> [187] ~! [C6_6] : ((in(C6_6, skolem_A44) <=> (in(C6_6, skolem_A44) & ordinal(C6_6))))
% 5.60/2.25
% 5.60/2.25 [187] DELTA_NOT_FORALL : ~! [C6_6] : ((in(C6_6, skolem_A44) <=> (in(C6_6, skolem_A44) & ordinal(C6_6))))
% 5.60/2.25 -> [188] ~(in(skolem_C66(skolem_A44), skolem_A44) <=> (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 [188] BETA_NOT_EQUIV : ~(in(skolem_C66(skolem_A44), skolem_A44) <=> (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44))))
% 5.60/2.25 -> [189] ~in(skolem_C66(skolem_A44), skolem_A44), (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [190] in(skolem_C66(skolem_A44), skolem_A44), ~(in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [189] ALPHA_AND : (in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [192] in(skolem_C66(skolem_A44), skolem_A44), ordinal(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [192] CLOSURE : in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25
% 5.60/2.25 [190] BETA_NOT_AND : ~(in(skolem_C66(skolem_A44), skolem_A44) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [209] ~in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25 -> [210] ~ordinal(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [209] CLOSURE : ~in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25
% 5.60/2.25 [210] GAMMA_FORALL : ! [C17_17] : ((in(C17_17, skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))
% 5.60/2.25 -> [211] (in(skolem_C66(skolem_A44), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44)))))
% 5.60/2.25
% 5.60/2.25 [211] BETA_EQUIV : (in(skolem_C66(skolem_A44), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44)))))
% 5.60/2.25 -> [212] ~in(skolem_C66(skolem_A44), skolem_B1616(skolem_A44)), ~? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44))))
% 5.60/2.25 -> [213] in(skolem_C66(skolem_A44), skolem_B1616(skolem_A44)), ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 [213] DELTA_EXISTS : ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44))))
% 5.60/2.25 -> [215] ((in(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [215] ALPHA_AND : ((in(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [218] (in(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_C66(skolem_A44))), ordinal(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [218] ALPHA_AND : (in(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_C66(skolem_A44)))
% 5.60/2.25 -> [221] in(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_A44), =(skolem_D1818(skolem_A44, skolem_C66(skolem_A44)), skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [221] CLOSURE : =
% 5.60/2.25
% 5.60/2.25 [214] BETA_NOT_AND : ~((in(skolem_C66(skolem_A44), skolem_A44) & =(skolem_C66(skolem_A44), skolem_C66(skolem_A44))) & ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [230] ~(in(skolem_C66(skolem_A44), skolem_A44) & =(skolem_C66(skolem_A44), skolem_C66(skolem_A44)))
% 5.60/2.25 -> [231] ~ordinal(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [230] BETA_NOT_AND : ~(in(skolem_C66(skolem_A44), skolem_A44) & =(skolem_C66(skolem_A44), skolem_C66(skolem_A44)))
% 5.60/2.25 -> [232] ~in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25 -> [233] ~=(skolem_C66(skolem_A44), skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [232] CLOSURE : ~in(skolem_C66(skolem_A44), skolem_A44)
% 5.60/2.25
% 5.60/2.25 [233] CLOSURE : ~=(skolem_C66(skolem_A44), skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [235] BETA_IMPLY : ((epsilon_transitive(skolem_C66(skolem_A44)) & epsilon_connected(skolem_C66(skolem_A44))) => ordinal(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [242] ~(epsilon_transitive(skolem_C66(skolem_A44)) & epsilon_connected(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [243] ordinal(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [243] CLOSURE : ordinal(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [242] BETA_NOT_AND : ~(epsilon_transitive(skolem_C66(skolem_A44)) & epsilon_connected(skolem_C66(skolem_A44)))
% 5.60/2.25 -> [246] ~epsilon_transitive(skolem_C66(skolem_A44))
% 5.60/2.25 -> [247] ~epsilon_connected(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [246] CLOSURE : ~epsilon_transitive(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [247] CLOSURE : ~epsilon_connected(skolem_C66(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [178] GAMMA_FORALL : ! [A12_12] : ((! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, A12_12) & =(D18_18, C17_17)) & ordinal(C17_17))))))))
% 5.60/2.25 -> [248] (! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))))
% 5.60/2.25
% 5.60/2.25 [248] BETA_IMPLY : (! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15))) => ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))))
% 5.60/2.25 -> [249] ~! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15)))
% 5.60/2.25 -> [250] ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17))))))
% 5.60/2.25
% 5.60/2.25 [249] DELTA_NOT_FORALL : ~! [B13_13, C14_14, D15_15] : (((((=(B13_13, C14_14) & ordinal(C14_14)) & =(B13_13, D15_15)) & ordinal(D15_15)) => =(C14_14, D15_15)))
% 5.60/2.25 -> [251] ~((((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)) => =(skolem_C1414, skolem_D1515))
% 5.60/2.25
% 5.60/2.25 [251] ALPHA_NOT_IMPLY : ~((((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)) => =(skolem_C1414, skolem_D1515))
% 5.60/2.25 -> [253] (((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515)), ~=(skolem_C1414, skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [253] ALPHA_AND : (((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)) & ordinal(skolem_D1515))
% 5.60/2.25 -> [258] ((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515)), ordinal(skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [258] ALPHA_AND : ((=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)) & =(skolem_B1313, skolem_D1515))
% 5.60/2.25 -> [262] (=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414)), =(skolem_B1313, skolem_D1515)
% 5.60/2.25
% 5.60/2.25 [262] ALPHA_AND : (=(skolem_B1313, skolem_C1414) & ordinal(skolem_C1414))
% 5.60/2.25 -> [269] =(skolem_B1313, skolem_C1414), ordinal(skolem_C1414)
% 5.60/2.25
% 5.60/2.25 [269] CLOSURE : =
% 5.60/2.25
% 5.60/2.25 [250] DELTA_EXISTS : ? [B16_16] : (! [C17_17] : ((in(C17_17, B16_16) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17))))))
% 5.60/2.25 -> [252] ! [C17_17] : ((in(C17_17, skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))
% 5.60/2.25
% 5.60/2.25 [252] GAMMA_NOT_EXISTS : ~? [B5_5] : (! [C6_6] : ((in(C6_6, B5_5) <=> (in(C6_6, skolem_A44) & ordinal(C6_6)))))
% 5.60/2.25 -> [254] ~! [C6_6] : ((in(C6_6, skolem_B1616(skolem_A44)) <=> (in(C6_6, skolem_A44) & ordinal(C6_6))))
% 5.60/2.25
% 5.60/2.25 [254] DELTA_NOT_FORALL : ~! [C6_6] : ((in(C6_6, skolem_B1616(skolem_A44)) <=> (in(C6_6, skolem_A44) & ordinal(C6_6))))
% 5.60/2.25 -> [255] ~(in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25
% 5.60/2.25 [255] BETA_NOT_EQUIV : ~(in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25 -> [256] ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [257] in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), ~(in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 [257] BETA_NOT_AND : ~(in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [259] ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44)
% 5.60/2.25 -> [260] ~ordinal(skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [260] GAMMA_FORALL : ! [C17_17] : ((in(C17_17, skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))
% 5.60/2.25 -> [263] (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))))
% 5.60/2.25
% 5.60/2.25 [263] BETA_EQUIV : (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))))
% 5.60/2.25 -> [264] ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), ~? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25 -> [265] in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25
% 5.60/2.25 [265] DELTA_EXISTS : ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25 -> [266] ((in(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 [266] ALPHA_AND : ((in(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [267] (in(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))), ordinal(skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [267] ALPHA_AND : (in(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [268] in(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_A44), =(skolem_D1818(skolem_A44, skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [268] CLOSURE : =
% 5.60/2.25
% 5.60/2.25 [264] CLOSURE : ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [259] GAMMA_FORALL : ! [C17_17] : ((in(C17_17, skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))
% 5.60/2.25 -> [270] (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))))
% 5.60/2.25
% 5.60/2.25 [270] BETA_EQUIV : (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))))
% 5.60/2.25 -> [271] ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), ~? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25 -> [272] in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25
% 5.60/2.25 [271] CLOSURE : ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44))
% 5.60/2.25
% 5.60/2.25 [275] CLOSURE : =
% 5.60/2.25
% 5.60/2.25 [261] GAMMA_FORALL : ! [C17_17] : ((in(C17_17, skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, C17_17)) & ordinal(C17_17)))))
% 5.60/2.25 -> [1220] (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))))
% 5.60/2.25
% 5.60/2.25 [1220] BETA_EQUIV : (in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)) <=> ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))))
% 5.60/2.25 -> [1221] ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), ~? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25 -> [1222] in(skolem_C66(skolem_B1616(skolem_A44)), skolem_B1616(skolem_A44)), ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25
% 5.60/2.25 [1221] GAMMA_NOT_EXISTS : ~? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25 -> [1224] ~((in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & =(skolem_C66(skolem_B1616(skolem_A44)), skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 [1224] BETA_NOT_AND : ~((in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & =(skolem_C66(skolem_B1616(skolem_A44)), skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [1226] ~(in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & =(skolem_C66(skolem_B1616(skolem_A44)), skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [1227] ~ordinal(skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [1226] BETA_NOT_AND : ~(in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44) & =(skolem_C66(skolem_B1616(skolem_A44)), skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [1228] ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44)
% 5.60/2.25 -> [1229] ~=(skolem_C66(skolem_B1616(skolem_A44)), skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [1228] CLOSURE : ~in(skolem_C66(skolem_B1616(skolem_A44)), skolem_A44)
% 5.60/2.25
% 5.60/2.25 [1229] CLOSURE : ~=(skolem_C66(skolem_B1616(skolem_A44)), skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [1227] CLOSURE : ~ordinal(skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [1222] DELTA_EXISTS : ? [D18_18] : (((in(D18_18, skolem_A44) & =(D18_18, skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44)))))
% 5.60/2.25 -> [1223] ((in(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 [1223] ALPHA_AND : ((in(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))) & ordinal(skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [1225] (in(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))), ordinal(skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [1225] ALPHA_AND : (in(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25 -> [1230] in(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_A44), =(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44)))
% 5.60/2.25
% 5.60/2.25 [1230] CLOSURE : (in(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_A44) & =(skolem_D1818(skolem_C66(skolem_B1616(skolem_A44))), skolem_C66(skolem_B1616(skolem_A44))))
% 5.60/2.25
% 5.60/2.25 % SZS output end Proof for theBenchmark.p
% 5.60/2.25 [1.905056s][1][Res] 13498 goroutines created
% 5.60/2.25 ==== Result ====
% 5.60/2.25 [1.905101s][1][Res] VALID
% 5.60/2.25 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------