TSTP Solution File: SET915+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET915+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n016.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 04:17:49 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET915+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 08:55:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.35 nb_step : 1 - limit : 6
% 0.12/0.35 Launch Gotab with destructive = true
% 0.12/0.36 % SZS output start Proof for theBenchmark.p
% 0.12/0.36 [0] ALPHA_AND : (! [A2_2, B3_3] : ((disjoint(A2_2, B3_3) => disjoint(B3_3, A2_2))) & ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4))) & ? [A6_6] : (empty(A6_6)) & ? [A7_7] : (~empty(A7_7)) & ! [A10_10, B11_11] : ((~in(A10_10, B11_11) => disjoint(singleton(A10_10), B11_11))) & ~! [A8_8, B9_9] : ((~in(A8_8, B9_9) => disjoint(singleton(A8_8), B9_9))))
% 0.12/0.36 -> [1] ! [A2_2, B3_3] : ((disjoint(A2_2, B3_3) => disjoint(B3_3, A2_2))), ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4))), ? [A6_6] : (empty(A6_6)), ? [A7_7] : (~empty(A7_7)), ! [A10_10, B11_11] : ((~in(A10_10, B11_11) => disjoint(singleton(A10_10), B11_11))), ~! [A8_8, B9_9] : ((~in(A8_8, B9_9) => disjoint(singleton(A8_8), B9_9)))
% 0.12/0.36
% 0.12/0.36 [1] DELTA_EXISTS : ? [A6_6] : (empty(A6_6))
% 0.12/0.36 -> [2] empty(skolem_A66)
% 0.12/0.36
% 0.12/0.36 [2] DELTA_EXISTS : ? [A7_7] : (~empty(A7_7))
% 0.12/0.36 -> [3] ~empty(skolem_A77)
% 0.12/0.36
% 0.12/0.36 [3] DELTA_NOT_FORALL : ~! [A8_8, B9_9] : ((~in(A8_8, B9_9) => disjoint(singleton(A8_8), B9_9)))
% 0.12/0.36 -> [4] ~(~in(skolem_A88, skolem_B99) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36
% 0.12/0.36 [4] ALPHA_NOT_IMPLY : ~(~in(skolem_A88, skolem_B99) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36 -> [5] ~in(skolem_A88, skolem_B99), ~disjoint(singleton(skolem_A88), skolem_B99)
% 0.12/0.36
% 0.12/0.36 [5] GAMMA_FORALL : ! [A2_2, B3_3] : ((disjoint(A2_2, B3_3) => disjoint(B3_3, A2_2)))
% 0.12/0.36 -> [6] (disjoint(skolem_B99, singleton(skolem_A88)) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36
% 0.12/0.36 [6] BETA_IMPLY : (disjoint(skolem_B99, singleton(skolem_A88)) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36 -> [7] ~disjoint(skolem_B99, singleton(skolem_A88))
% 0.12/0.36 -> [8] disjoint(singleton(skolem_A88), skolem_B99)
% 0.12/0.36
% 0.12/0.36 [8] CLOSURE : disjoint(singleton(skolem_A88), skolem_B99)
% 0.12/0.36
% 0.12/0.36 [7] GAMMA_FORALL : ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4)))
% 0.12/0.36 -> [9] (in(A4_0_1, B5_0_1) => ~in(B5_0_1, A4_0_1))
% 0.12/0.36
% 0.12/0.36 [9] BETA_IMPLY : (in(A4_0_1, B5_0_1) => ~in(B5_0_1, A4_0_1))
% 0.12/0.36 -> [10] ~in(A4_0_1, B5_0_1)
% 0.12/0.36 -> [11] ~in(B5_0_1, A4_0_1)
% 0.12/0.36
% 0.12/0.36 [10] GAMMA_FORALL : ! [A10_10, B11_11] : ((~in(A10_10, B11_11) => disjoint(singleton(A10_10), B11_11)))
% 0.12/0.36 -> [12] (~in(skolem_A88, skolem_B99) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36
% 0.12/0.36 [12] BETA_IMPLY : (~in(skolem_A88, skolem_B99) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36 -> [13] ~~in(skolem_A88, skolem_B99)
% 0.12/0.36 -> [14] disjoint(singleton(skolem_A88), skolem_B99)
% 0.12/0.36
% 0.12/0.36 [13] ALPHA_NOT_NOT : ~~in(skolem_A88, skolem_B99)
% 0.12/0.36 -> [18] in(skolem_A88, skolem_B99)
% 0.12/0.36
% 0.12/0.36 [18] CLOSURE : in(skolem_A88, skolem_B99)
% 0.12/0.36
% 0.12/0.36 [14] CLOSURE : disjoint(singleton(skolem_A88), skolem_B99)
% 0.12/0.36
% 0.12/0.36 [11] GAMMA_FORALL : ! [A10_10, B11_11] : ((~in(A10_10, B11_11) => disjoint(singleton(A10_10), B11_11)))
% 0.12/0.36 -> [15] (~in(skolem_A88, skolem_B99) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36
% 0.12/0.36 [15] BETA_IMPLY : (~in(skolem_A88, skolem_B99) => disjoint(singleton(skolem_A88), skolem_B99))
% 0.12/0.36 -> [16] ~~in(skolem_A88, skolem_B99)
% 0.12/0.36 -> [17] disjoint(singleton(skolem_A88), skolem_B99)
% 0.12/0.36
% 0.12/0.36 [17] CLOSURE : disjoint(singleton(skolem_A88), skolem_B99)
% 0.12/0.36
% 0.12/0.36 [16] ALPHA_NOT_NOT : ~~in(skolem_A88, skolem_B99)
% 0.12/0.36 -> [19] in(skolem_A88, skolem_B99)
% 0.12/0.36
% 0.12/0.36 [19] CLOSURE : in(skolem_A88, skolem_B99)
% 0.12/0.36
% 0.12/0.36 % SZS output end Proof for theBenchmark.p
% 0.12/0.36 [0.016231s][1][Res] 42 goroutines created
% 0.12/0.36 ==== Result ====
% 0.12/0.36 [0.016268s][1][Res] VALID
% 0.12/0.36 % SZS status Theorem for theBenchmark.p
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