TSTP Solution File: PUZ132+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : PUZ132+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n009.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 14:01:10 EDT 2022
% Result : Theorem 0.82s 0.58s
% Output : Proof 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : PUZ132+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n009.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 19:02:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000041s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 7
% 0.13/0.35 Launch Gotab with destructive = true
% 0.82/0.58 % SZS output start Proof for theBenchmark.p
% 0.82/0.58 [0] ALPHA_AND : (? [A2_2] : (capital(A2_2)) & ? [A3_3] : (city(A3_3)) & ! [A4_4] : ((capital(A4_4) => city(A4_4))) & ? [A5_5] : (country(A5_5)) & capital(washington) & country(usa) & ! [A6_6] : ((country(A6_6) => capital(capital_city(A6_6)))) & ! [X7_7] : ((city(X7_7) => has_crime(X7_7))) & =(capital_city(usa), washington) & ! [X8_8] : ((country(X8_8) => beautiful(capital_city(X8_8)))) & ~(beautiful(washington) & has_crime(washington)))
% 0.82/0.58 -> [1] ? [A2_2] : (capital(A2_2)), ? [A3_3] : (city(A3_3)), ! [A4_4] : ((capital(A4_4) => city(A4_4))), ? [A5_5] : (country(A5_5)), capital(washington), country(usa), ! [A6_6] : ((country(A6_6) => capital(capital_city(A6_6)))), ! [X7_7] : ((city(X7_7) => has_crime(X7_7))), =(capital_city(usa), washington), ! [X8_8] : ((country(X8_8) => beautiful(capital_city(X8_8)))), ~(beautiful(washington) & has_crime(washington))
% 0.82/0.58
% 0.82/0.58 [1] DELTA_EXISTS : ? [A2_2] : (capital(A2_2))
% 0.82/0.58 -> [2] capital(skolem_A22)
% 0.82/0.58
% 0.82/0.58 [2] DELTA_EXISTS : ? [A3_3] : (city(A3_3))
% 0.82/0.58 -> [3] city(skolem_A33)
% 0.82/0.58
% 0.82/0.58 [3] DELTA_EXISTS : ? [A5_5] : (country(A5_5))
% 0.82/0.58 -> [4] country(skolem_A55)
% 0.82/0.58
% 0.82/0.58 [4] BETA_NOT_AND : ~(beautiful(washington) & has_crime(washington))
% 0.82/0.58 -> [5] ~beautiful(washington)
% 0.82/0.58 -> [6] ~has_crime(washington)
% 0.82/0.58
% 0.82/0.58 [5] GAMMA_FORALL : ! [A4_4] : ((capital(A4_4) => city(A4_4)))
% 0.82/0.58 -> [10] (capital(washington) => city(washington))
% 0.82/0.58
% 0.82/0.58 [10] BETA_IMPLY : (capital(washington) => city(washington))
% 0.82/0.58 -> [11] ~capital(washington)
% 0.82/0.58 -> [12] city(washington)
% 0.82/0.58
% 0.82/0.58 [11] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [12] GAMMA_FORALL : ! [A6_6] : ((country(A6_6) => capital(capital_city(A6_6))))
% 0.82/0.58 -> [16] (country(skolem_A55) => capital(capital_city(skolem_A55)))
% 0.82/0.58
% 0.82/0.58 [16] BETA_IMPLY : (country(skolem_A55) => capital(capital_city(skolem_A55)))
% 0.82/0.58 -> [17] ~country(skolem_A55)
% 0.82/0.58 -> [18] capital(capital_city(skolem_A55))
% 0.82/0.58
% 0.82/0.58 [17] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [18] GAMMA_FORALL : ! [X7_7] : ((city(X7_7) => has_crime(X7_7)))
% 0.82/0.58 -> [22] (city(X7_1_2) => has_crime(X7_1_2))
% 0.82/0.58
% 0.82/0.58 [22] BETA_IMPLY : (city(X7_1_2) => has_crime(X7_1_2))
% 0.82/0.58 -> [23] ~city(X7_1_2)
% 0.82/0.58 -> [24] has_crime(X7_1_2)
% 0.82/0.58
% 0.82/0.58 [23] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [24] GAMMA_FORALL : ! [X8_8] : ((country(X8_8) => beautiful(capital_city(X8_8))))
% 0.82/0.58 -> [25] (country(usa) => beautiful(capital_city(usa)))
% 0.82/0.58
% 0.82/0.58 [25] BETA_IMPLY : (country(usa) => beautiful(capital_city(usa)))
% 0.82/0.58 -> [26] ~country(usa)
% 0.82/0.58 -> [27] beautiful(capital_city(usa))
% 0.82/0.58
% 0.82/0.58 [27] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [26] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [6] GAMMA_FORALL : ! [A4_4] : ((capital(A4_4) => city(A4_4)))
% 0.82/0.58 -> [7] (capital(washington) => city(washington))
% 0.82/0.58
% 0.82/0.58 [7] BETA_IMPLY : (capital(washington) => city(washington))
% 0.82/0.58 -> [8] ~capital(washington)
% 0.82/0.58 -> [9] city(washington)
% 0.82/0.58
% 0.82/0.58 [8] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [9] GAMMA_FORALL : ! [A6_6] : ((country(A6_6) => capital(capital_city(A6_6))))
% 0.82/0.58 -> [13] (country(usa) => capital(capital_city(usa)))
% 0.82/0.58
% 0.82/0.58 [13] BETA_IMPLY : (country(usa) => capital(capital_city(usa)))
% 0.82/0.58 -> [14] ~country(usa)
% 0.82/0.58 -> [15] capital(capital_city(usa))
% 0.82/0.58
% 0.82/0.58 [14] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [19] BETA_IMPLY : (city(skolem_A33) => has_crime(skolem_A33))
% 0.82/0.58 -> [28] ~city(skolem_A33)
% 0.82/0.58 -> [29] has_crime(skolem_A33)
% 0.82/0.58
% 0.82/0.58 [28] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [29] GAMMA_FORALL : ! [X8_8] : ((country(X8_8) => beautiful(capital_city(X8_8))))
% 0.82/0.58 -> [30] (country(usa) => beautiful(capital_city(usa)))
% 0.82/0.58
% 0.82/0.58 [30] BETA_IMPLY : (country(usa) => beautiful(capital_city(usa)))
% 0.82/0.58 -> [31] ~country(usa)
% 0.82/0.58 -> [32] beautiful(capital_city(usa))
% 0.82/0.58
% 0.82/0.58 [31] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [32] : ! [A4_4] : ((capital(A4_4) => city(A4_4)))
% 0.82/0.58 -> [33] ! [A4_4] : ((capital(A4_4) => city(A4_4)))
% 0.82/0.58
% 0.82/0.58 [33] GAMMA_FORALL : ! [A4_4] : ((capital(A4_4) => city(A4_4)))
% 0.82/0.58 -> [34] (capital(washington) => city(washington))
% 0.82/0.58
% 0.82/0.58 [34] BETA_IMPLY : (capital(washington) => city(washington))
% 0.82/0.58 -> [35] ~capital(washington)
% 0.82/0.58 -> [36] city(washington)
% 0.82/0.58
% 0.82/0.58 [35] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [36] : ! [A6_6] : ((country(A6_6) => capital(capital_city(A6_6))))
% 0.82/0.58 -> [37] ! [A6_6] : ((country(A6_6) => capital(capital_city(A6_6))))
% 0.82/0.58
% 0.82/0.58 [37] GAMMA_FORALL : ! [A6_6] : ((country(A6_6) => capital(capital_city(A6_6))))
% 0.82/0.58 -> [38] (country(skolem_A55) => capital(capital_city(skolem_A55)))
% 0.82/0.58
% 0.82/0.58 [38] BETA_IMPLY : (country(skolem_A55) => capital(capital_city(skolem_A55)))
% 0.82/0.58 -> [39] ~country(skolem_A55)
% 0.82/0.58 -> [40] capital(capital_city(skolem_A55))
% 0.82/0.58
% 0.82/0.58 [39] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [42] BETA_IMPLY : (city(washington) => has_crime(washington))
% 0.82/0.58 -> [45] ~city(washington)
% 0.82/0.58 -> [46] has_crime(washington)
% 0.82/0.58
% 0.82/0.58 [45] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 [46] CLOSURE : =
% 0.82/0.58
% 0.82/0.58 % SZS output end Proof for theBenchmark.p
% 0.82/0.58 [0.229429s][1][Res] 1209 goroutines created
% 0.82/0.58 ==== Result ====
% 0.82/0.58 [0.229465s][1][Res] VALID
% 0.82/0.58 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------