TSTP Solution File: SEU167+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n015.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 05:55:42 EDT 2022
% Result : Theorem 1.43s 1.14s
% Output : Proof 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n015.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 10:03:55 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 [0.000032s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 6
% 0.13/0.35 Launch Gotab with destructive = true
% 1.43/1.13 % SZS output start Proof for theBenchmark.p
% 1.43/1.14 [0] ALPHA_AND : (? [A4_4] : (empty(A4_4)) & ? [A5_5] : (~empty(A5_5)) & ! [A6_6, B7_7] : (subset(A6_6, A6_6)) & ! [A8_8, B9_9, C10_10] : ((subset(A8_8, B9_9) => (subset(cartesian_product2(A8_8, C10_10), cartesian_product2(B9_9, C10_10)) & subset(cartesian_product2(C10_10, A8_8), cartesian_product2(C10_10, B9_9))))) & ! [A15_15, B16_16, C17_17] : (((subset(A15_15, B16_16) & subset(B16_16, C17_17)) => subset(A15_15, C17_17))) & ~! [A11_11, B12_12, C13_13, D14_14] : (((subset(A11_11, B12_12) & subset(C13_13, D14_14)) => subset(cartesian_product2(A11_11, C13_13), cartesian_product2(B12_12, D14_14)))))
% 1.43/1.14 -> [1] ? [A4_4] : (empty(A4_4)), ? [A5_5] : (~empty(A5_5)), ! [A6_6, B7_7] : (subset(A6_6, A6_6)), ! [A8_8, B9_9, C10_10] : ((subset(A8_8, B9_9) => (subset(cartesian_product2(A8_8, C10_10), cartesian_product2(B9_9, C10_10)) & subset(cartesian_product2(C10_10, A8_8), cartesian_product2(C10_10, B9_9))))), ! [A15_15, B16_16, C17_17] : (((subset(A15_15, B16_16) & subset(B16_16, C17_17)) => subset(A15_15, C17_17))), ~! [A11_11, B12_12, C13_13, D14_14] : (((subset(A11_11, B12_12) & subset(C13_13, D14_14)) => subset(cartesian_product2(A11_11, C13_13), cartesian_product2(B12_12, D14_14))))
% 1.43/1.14
% 1.43/1.14 [1] DELTA_EXISTS : ? [A4_4] : (empty(A4_4))
% 1.43/1.14 -> [2] empty(skolem_A44)
% 1.43/1.14
% 1.43/1.14 [2] DELTA_EXISTS : ? [A5_5] : (~empty(A5_5))
% 1.43/1.14 -> [3] ~empty(skolem_A55)
% 1.43/1.14
% 1.43/1.14 [3] DELTA_NOT_FORALL : ~! [A11_11, B12_12, C13_13, D14_14] : (((subset(A11_11, B12_12) & subset(C13_13, D14_14)) => subset(cartesian_product2(A11_11, C13_13), cartesian_product2(B12_12, D14_14))))
% 1.43/1.14 -> [4] ~((subset(skolem_A1111, skolem_B1212) & subset(skolem_C1313, skolem_D1414)) => subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_B1212, skolem_D1414)))
% 1.43/1.14
% 1.43/1.14 [4] ALPHA_NOT_IMPLY : ~((subset(skolem_A1111, skolem_B1212) & subset(skolem_C1313, skolem_D1414)) => subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_B1212, skolem_D1414)))
% 1.43/1.14 -> [5] (subset(skolem_A1111, skolem_B1212) & subset(skolem_C1313, skolem_D1414)), ~subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_B1212, skolem_D1414))
% 1.43/1.14
% 1.43/1.14 [5] ALPHA_AND : (subset(skolem_A1111, skolem_B1212) & subset(skolem_C1313, skolem_D1414))
% 1.43/1.14 -> [6] subset(skolem_A1111, skolem_B1212), subset(skolem_C1313, skolem_D1414)
% 1.43/1.14
% 1.43/1.14 [6] GAMMA_FORALL : ! [A6_6, B7_7] : (subset(A6_6, A6_6))
% 1.43/1.14 -> [7] subset(skolem_C1313, skolem_C1313)
% 1.43/1.14
% 1.43/1.14 [7] GAMMA_FORALL : ! [A8_8, B9_9, C10_10] : ((subset(A8_8, B9_9) => (subset(cartesian_product2(A8_8, C10_10), cartesian_product2(B9_9, C10_10)) & subset(cartesian_product2(C10_10, A8_8), cartesian_product2(C10_10, B9_9)))))
% 1.43/1.14 -> [8] (subset(skolem_C1313, skolem_D1414) => (subset(cartesian_product2(skolem_C1313, skolem_A1111), cartesian_product2(skolem_D1414, skolem_A1111)) & subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414))))
% 1.43/1.14
% 1.43/1.14 [8] BETA_IMPLY : (subset(skolem_C1313, skolem_D1414) => (subset(cartesian_product2(skolem_C1313, skolem_A1111), cartesian_product2(skolem_D1414, skolem_A1111)) & subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414))))
% 1.43/1.14 -> [9] ~subset(skolem_C1313, skolem_D1414)
% 1.43/1.14 -> [10] (subset(cartesian_product2(skolem_C1313, skolem_A1111), cartesian_product2(skolem_D1414, skolem_A1111)) & subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414)))
% 1.43/1.14
% 1.43/1.14 [9] CLOSURE : ~subset(skolem_C1313, skolem_D1414)
% 1.43/1.14
% 1.43/1.14 [12] BETA_IMPLY : ((subset(skolem_C1313, skolem_C1313) & subset(skolem_C1313, skolem_D1414)) => subset(skolem_C1313, skolem_D1414))
% 1.43/1.14 -> [46] ~(subset(skolem_C1313, skolem_C1313) & subset(skolem_C1313, skolem_D1414))
% 1.43/1.14 -> [47] subset(skolem_C1313, skolem_D1414)
% 1.43/1.14
% 1.43/1.14 [46] BETA_NOT_AND : ~(subset(skolem_C1313, skolem_C1313) & subset(skolem_C1313, skolem_D1414))
% 1.43/1.14 -> [48] ~subset(skolem_C1313, skolem_C1313)
% 1.43/1.14 -> [49] ~subset(skolem_C1313, skolem_D1414)
% 1.43/1.14
% 1.43/1.14 [49] CLOSURE : ~subset(skolem_C1313, skolem_D1414)
% 1.43/1.14
% 1.43/1.14 [48] CLOSURE : ~subset(skolem_C1313, skolem_C1313)
% 1.43/1.14
% 1.43/1.14 [47] : ! [A6_6, B7_7] : (subset(A6_6, A6_6))
% 1.43/1.14 -> [50] ! [A6_6, B7_7] : (subset(A6_6, A6_6))
% 1.43/1.14
% 1.43/1.14 [50] GAMMA_FORALL : ! [A6_6, B7_7] : (subset(A6_6, A6_6))
% 1.43/1.14 -> [51] subset(A6_2_0, A6_2_0)
% 1.43/1.14
% 1.43/1.14 [51] GAMMA_FORALL : ! [A8_8, B9_9, C10_10] : ((subset(A8_8, B9_9) => (subset(cartesian_product2(A8_8, C10_10), cartesian_product2(B9_9, C10_10)) & subset(cartesian_product2(C10_10, A8_8), cartesian_product2(C10_10, B9_9)))))
% 1.43/1.14 -> [52] ! [A8_8, B9_9, C10_10] : ((subset(A8_8, B9_9) => (subset(cartesian_product2(A8_8, C10_10), cartesian_product2(B9_9, C10_10)) & subset(cartesian_product2(C10_10, A8_8), cartesian_product2(C10_10, B9_9)))))
% 1.43/1.14
% 1.43/1.14 [52] GAMMA_FORALL : ! [A8_8, B9_9, C10_10] : ((subset(A8_8, B9_9) => (subset(cartesian_product2(A8_8, C10_10), cartesian_product2(B9_9, C10_10)) & subset(cartesian_product2(C10_10, A8_8), cartesian_product2(C10_10, B9_9)))))
% 1.43/1.14 -> [53] (subset(skolem_A1111, skolem_B1212) => (subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414)) & subset(cartesian_product2(skolem_D1414, skolem_A1111), cartesian_product2(skolem_D1414, skolem_B1212))))
% 1.43/1.14
% 1.43/1.14 [53] BETA_IMPLY : (subset(skolem_A1111, skolem_B1212) => (subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414)) & subset(cartesian_product2(skolem_D1414, skolem_A1111), cartesian_product2(skolem_D1414, skolem_B1212))))
% 1.43/1.14 -> [54] ~subset(skolem_A1111, skolem_B1212)
% 1.43/1.14 -> [55] (subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414)) & subset(cartesian_product2(skolem_D1414, skolem_A1111), cartesian_product2(skolem_D1414, skolem_B1212)))
% 1.43/1.14
% 1.43/1.14 [54] CLOSURE : ~subset(skolem_A1111, skolem_B1212)
% 1.43/1.14
% 1.43/1.14 [58] BETA_IMPLY : ((subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414)) & subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414))) => subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_B1212, skolem_D1414)))
% 1.43/1.14 -> [71] ~(subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414)) & subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414)))
% 1.43/1.14 -> [72] subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_B1212, skolem_D1414))
% 1.43/1.14
% 1.43/1.14 [72] CLOSURE : subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_B1212, skolem_D1414))
% 1.43/1.14
% 1.43/1.14 [71] BETA_NOT_AND : ~(subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414)) & subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414)))
% 1.43/1.14 -> [75] ~subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414))
% 1.43/1.14 -> [76] ~subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414))
% 1.43/1.14
% 1.43/1.14 [75] CLOSURE : ~subset(cartesian_product2(skolem_A1111, skolem_C1313), cartesian_product2(skolem_A1111, skolem_D1414))
% 1.43/1.14
% 1.43/1.14 [76] CLOSURE : ~subset(cartesian_product2(skolem_A1111, skolem_D1414), cartesian_product2(skolem_B1212, skolem_D1414))
% 1.43/1.14
% 1.43/1.14 % SZS output end Proof for theBenchmark.p
% 1.43/1.14 [0.784308s][1][Res] 3208 goroutines created
% 1.43/1.14 ==== Result ====
% 1.43/1.14 [0.784352s][1][Res] VALID
% 1.43/1.14 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------