TSTP Solution File: SEU121+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 05:55:24 EDT 2022
% Result : Theorem 1.22s 0.78s
% Output : Proof 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Sep 3 09:53:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 10
% 0.12/0.34 Launch Gotab with destructive = true
% 1.22/0.78 % SZS output start Proof for theBenchmark.p
% 1.22/0.78 [0] ALPHA_AND : (! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3))) & $true & empty(empty_set) & ? [A8_8] : (empty(A8_8)) & ? [A9_9] : (~empty(A9_9)) & ! [A10_10, B11_11] : (subset(A10_10, A10_10)) & ! [A15_15] : ((empty(A15_15) => =(A15_15, empty_set))) & ! [A16_16, B17_17] : (~(in(A16_16, B17_17) & empty(B17_17))) & ! [A18_18, B19_19] : (~((empty(A18_18) & ~=(A18_18, B19_19)) & empty(B19_19))) & ~! [A12_12, B13_13, C14_14] : (((subset(A12_12, B13_13) & subset(B13_13, C14_14)) => subset(A12_12, C14_14))))
% 1.22/0.78 -> [1] ! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3))), $true, empty(empty_set), ? [A8_8] : (empty(A8_8)), ? [A9_9] : (~empty(A9_9)), ! [A10_10, B11_11] : (subset(A10_10, A10_10)), ! [A15_15] : ((empty(A15_15) => =(A15_15, empty_set))), ! [A16_16, B17_17] : (~(in(A16_16, B17_17) & empty(B17_17))), ! [A18_18, B19_19] : (~((empty(A18_18) & ~=(A18_18, B19_19)) & empty(B19_19))), ~! [A12_12, B13_13, C14_14] : (((subset(A12_12, B13_13) & subset(B13_13, C14_14)) => subset(A12_12, C14_14)))
% 1.22/0.78
% 1.22/0.78 [1] DELTA_EXISTS : ? [A8_8] : (empty(A8_8))
% 1.22/0.78 -> [2] empty(skolem_A88)
% 1.22/0.78
% 1.22/0.78 [2] DELTA_EXISTS : ? [A9_9] : (~empty(A9_9))
% 1.22/0.78 -> [3] ~empty(skolem_A99)
% 1.22/0.78
% 1.22/0.78 [3] DELTA_NOT_FORALL : ~! [A12_12, B13_13, C14_14] : (((subset(A12_12, B13_13) & subset(B13_13, C14_14)) => subset(A12_12, C14_14)))
% 1.22/0.78 -> [4] ~((subset(skolem_A1212, skolem_B1313) & subset(skolem_B1313, skolem_C1414)) => subset(skolem_A1212, skolem_C1414))
% 1.22/0.78
% 1.22/0.78 [4] ALPHA_NOT_IMPLY : ~((subset(skolem_A1212, skolem_B1313) & subset(skolem_B1313, skolem_C1414)) => subset(skolem_A1212, skolem_C1414))
% 1.22/0.78 -> [5] (subset(skolem_A1212, skolem_B1313) & subset(skolem_B1313, skolem_C1414)), ~subset(skolem_A1212, skolem_C1414)
% 1.22/0.78
% 1.22/0.78 [5] Rewrite : ~subset(skolem_A1212, skolem_C1414)
% 1.22/0.78 -> [6] ~(in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) => in(skolem_C77(skolem_A1212, skolem_C1414), skolem_C1414))
% 1.22/0.78
% 1.22/0.78 [6] ALPHA_AND : (subset(skolem_A1212, skolem_B1313) & subset(skolem_B1313, skolem_C1414))
% 1.22/0.78 -> [7] subset(skolem_A1212, skolem_B1313), subset(skolem_B1313, skolem_C1414)
% 1.22/0.78
% 1.22/0.78 [7] Rewrite : subset(skolem_A1212, skolem_B1313)
% 1.22/0.78 -> [8] ! [C7_7] : ((in(C7_7, skolem_A1212) => in(C7_7, skolem_B1313)))
% 1.22/0.78
% 1.22/0.78 [8] Rewrite : subset(skolem_B1313, skolem_C1414)
% 1.22/0.78 -> [9] ! [C7_7] : ((in(C7_7, skolem_B1313) => in(C7_7, skolem_C1414)))
% 1.22/0.78
% 1.22/0.78 [9] ALPHA_NOT_IMPLY : ~(in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) => in(skolem_C77(skolem_A1212, skolem_C1414), skolem_C1414))
% 1.22/0.78 -> [10] in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212), ~in(skolem_C77(skolem_A1212, skolem_C1414), skolem_C1414)
% 1.22/0.78
% 1.22/0.78 [10] GAMMA_FORALL : ! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 1.22/0.78 -> [11] (in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) => ~in(skolem_A1212, skolem_C77(skolem_A1212, skolem_C1414)))
% 1.22/0.78
% 1.22/0.78 [11] BETA_IMPLY : (in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) => ~in(skolem_A1212, skolem_C77(skolem_A1212, skolem_C1414)))
% 1.22/0.78 -> [12] ~in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212)
% 1.22/0.78 -> [13] ~in(skolem_A1212, skolem_C77(skolem_A1212, skolem_C1414))
% 1.22/0.78
% 1.22/0.78 [12] CLOSURE : ~in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212)
% 1.22/0.78
% 1.22/0.78 [13] GAMMA_FORALL : ! [A10_10, B11_11] : (subset(A10_10, A10_10))
% 1.22/0.78 -> [14] subset(A10_0_1, A10_0_1)
% 1.22/0.78
% 1.22/0.78 [14] Rewrite : subset(A10_0_1, A10_0_1)
% 1.22/0.78 -> [15] ! [C7_7] : ((in(C7_7, A10_0_1) => in(C7_7, A10_0_1)))
% 1.22/0.78
% 1.22/0.78 [15] GAMMA_FORALL : ! [A15_15] : ((empty(A15_15) => =(A15_15, empty_set)))
% 1.22/0.78 -> [16] (empty(skolem_A88) => =(skolem_A88, empty_set))
% 1.22/0.78
% 1.22/0.78 [16] BETA_IMPLY : (empty(skolem_A88) => =(skolem_A88, empty_set))
% 1.22/0.78 -> [17] ~empty(skolem_A88)
% 1.22/0.78 -> [18] =(skolem_A88, empty_set)
% 1.22/0.78
% 1.22/0.78 [17] CLOSURE : ~empty(skolem_A88)
% 1.22/0.78
% 1.22/0.78 [18] GAMMA_FORALL : ! [A16_16, B17_17] : (~(in(A16_16, B17_17) & empty(B17_17)))
% 1.22/0.78 -> [19] ~(in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) & empty(skolem_A1212))
% 1.22/0.78
% 1.22/0.78 [19] BETA_NOT_AND : ~(in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) & empty(skolem_A1212))
% 1.22/0.78 -> [20] ~in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212)
% 1.22/0.78 -> [21] ~empty(skolem_A1212)
% 1.22/0.78
% 1.22/0.78 [20] CLOSURE : =
% 1.22/0.78
% 1.22/0.78 [21] GAMMA_FORALL : ! [A18_18, B19_19] : (~((empty(A18_18) & ~=(A18_18, B19_19)) & empty(B19_19)))
% 1.22/0.78 -> [22] ~((empty(skolem_A99) & ~=(skolem_A99, empty_set)) & empty(empty_set))
% 1.22/0.78
% 1.22/0.78 [22] BETA_NOT_AND : ~((empty(skolem_A99) & ~=(skolem_A99, empty_set)) & empty(empty_set))
% 1.22/0.78 -> [23] ~(empty(skolem_A99) & ~=(skolem_A99, empty_set))
% 1.22/0.78 -> [24] ~empty(empty_set)
% 1.22/0.78
% 1.22/0.78 [24] CLOSURE : =
% 1.22/0.78
% 1.22/0.78 [23] BETA_NOT_AND : ~(empty(skolem_A99) & ~=(skolem_A99, empty_set))
% 1.22/0.78 -> [28] ~empty(skolem_A99)
% 1.22/0.78 -> [29] ~~=(skolem_A99, empty_set)
% 1.22/0.78
% 1.22/0.78 [29] ALPHA_NOT_NOT : ~~=(skolem_A99, empty_set)
% 1.22/0.78 -> [30] =(skolem_A99, empty_set)
% 1.22/0.78
% 1.22/0.78 [30] CLOSURE : =
% 1.22/0.78
% 1.22/0.78 [28] GAMMA_FORALL : ! [C7_7] : ((in(C7_7, skolem_A1212) => in(C7_7, skolem_B1313)))
% 1.22/0.78 -> [31] (in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) => in(skolem_C77(skolem_A1212, skolem_C1414), skolem_B1313))
% 1.22/0.78
% 1.22/0.78 [31] BETA_IMPLY : (in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212) => in(skolem_C77(skolem_A1212, skolem_C1414), skolem_B1313))
% 1.22/0.78 -> [32] ~in(skolem_C77(skolem_A1212, skolem_C1414), skolem_A1212)
% 1.22/0.78 -> [33] in(skolem_C77(skolem_A1212, skolem_C1414), skolem_B1313)
% 1.22/0.78
% 1.22/0.78 [32] CLOSURE : =
% 1.22/0.78
% 1.22/0.78 [33] GAMMA_FORALL : ! [C7_7] : ((in(C7_7, skolem_B1313) => in(C7_7, skolem_C1414)))
% 1.22/0.78 -> [34] (in(skolem_C77(skolem_A1212, skolem_C1414), skolem_B1313) => in(skolem_C77(skolem_A1212, skolem_C1414), skolem_C1414))
% 1.22/0.78
% 1.22/0.78 [34] BETA_IMPLY : (in(skolem_C77(skolem_A1212, skolem_C1414), skolem_B1313) => in(skolem_C77(skolem_A1212, skolem_C1414), skolem_C1414))
% 1.22/0.78 -> [35] ~in(skolem_C77(skolem_A1212, skolem_C1414), skolem_B1313)
% 1.22/0.78 -> [36] in(skolem_C77(skolem_A1212, skolem_C1414), skolem_C1414)
% 1.22/0.78
% 1.22/0.78 [36] CLOSURE : =
% 1.22/0.78
% 1.22/0.78 [35] CLOSURE : =
% 1.22/0.78
% 1.22/0.78 % SZS output end Proof for theBenchmark.p
% 1.22/0.78 [0.441400s][1][Res] 2781 goroutines created
% 1.22/0.78 ==== Result ====
% 1.22/0.78 [0.441433s][1][Res] VALID
% 1.22/0.78 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------