TSTP Solution File: SEU163+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU163+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Sep 20 05:55:40 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU163+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n009.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 09:44:50 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 6
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.37 % SZS output start Proof for theBenchmark.p
% 0.12/0.37 [0] ALPHA_AND : (! [A2_2, B3_3] : (subset(A2_2, 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) => subset(A10_10, union(B11_11)))) & ~! [A8_8, B9_9] : ((in(A8_8, B9_9) => subset(A8_8, union(B9_9)))))
% 0.12/0.37 -> [1] ! [A2_2, B3_3] : (subset(A2_2, 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) => subset(A10_10, union(B11_11)))), ~! [A8_8, B9_9] : ((in(A8_8, B9_9) => subset(A8_8, union(B9_9))))
% 0.12/0.37
% 0.12/0.37 [1] DELTA_EXISTS : ? [A6_6] : (empty(A6_6))
% 0.12/0.37 -> [2] empty(skolem_A66)
% 0.12/0.37
% 0.12/0.37 [2] DELTA_EXISTS : ? [A7_7] : (~empty(A7_7))
% 0.12/0.37 -> [3] ~empty(skolem_A77)
% 0.12/0.37
% 0.12/0.37 [3] DELTA_NOT_FORALL : ~! [A8_8, B9_9] : ((in(A8_8, B9_9) => subset(A8_8, union(B9_9))))
% 0.12/0.37 -> [4] ~(in(skolem_A88, skolem_B99) => subset(skolem_A88, union(skolem_B99)))
% 0.12/0.37
% 0.12/0.37 [4] ALPHA_NOT_IMPLY : ~(in(skolem_A88, skolem_B99) => subset(skolem_A88, union(skolem_B99)))
% 0.12/0.37 -> [5] in(skolem_A88, skolem_B99), ~subset(skolem_A88, union(skolem_B99))
% 0.12/0.37
% 0.12/0.37 [5] GAMMA_FORALL : ! [A2_2, B3_3] : (subset(A2_2, A2_2))
% 0.12/0.37 -> [6] subset(A2_0_0, A2_0_0)
% 0.12/0.37
% 0.12/0.37 [6] GAMMA_FORALL : ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4)))
% 0.12/0.37 -> [7] (in(skolem_A88, skolem_B99) => ~in(skolem_B99, skolem_A88))
% 0.12/0.37
% 0.12/0.37 [7] BETA_IMPLY : (in(skolem_A88, skolem_B99) => ~in(skolem_B99, skolem_A88))
% 0.12/0.37 -> [8] ~in(skolem_A88, skolem_B99)
% 0.12/0.37 -> [9] ~in(skolem_B99, skolem_A88)
% 0.12/0.37
% 0.12/0.37 [8] CLOSURE : ~in(skolem_A88, skolem_B99)
% 0.12/0.37
% 0.12/0.37 [9] GAMMA_FORALL : ! [A10_10, B11_11] : ((in(A10_10, B11_11) => subset(A10_10, union(B11_11))))
% 0.12/0.37 -> [10] (in(skolem_A88, skolem_B99) => subset(skolem_A88, union(skolem_B99)))
% 0.12/0.37
% 0.12/0.37 [10] BETA_IMPLY : (in(skolem_A88, skolem_B99) => subset(skolem_A88, union(skolem_B99)))
% 0.12/0.37 -> [11] ~in(skolem_A88, skolem_B99)
% 0.12/0.37 -> [12] subset(skolem_A88, union(skolem_B99))
% 0.12/0.37
% 0.12/0.37 [11] CLOSURE : ~in(skolem_A88, skolem_B99)
% 0.12/0.37
% 0.12/0.37 [12] CLOSURE : subset(skolem_A88, union(skolem_B99))
% 0.12/0.37
% 0.12/0.37 % SZS output end Proof for theBenchmark.p
% 0.12/0.37 [0.022064s][1][Res] 67 goroutines created
% 0.12/0.37 ==== Result ====
% 0.12/0.37 [0.022097s][1][Res] VALID
% 0.12/0.37 % SZS status Theorem for theBenchmark.p
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