TSTP Solution File: SEU158+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n011.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 05:55:37 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sat Sep 3 09:43:58 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.32 [DMT] DMT loaded with preskolemization
% 0.12/0.32 [EQ] equality loaded.
% 0.12/0.32 [0.000035s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.32 Start search
% 0.12/0.32 nb_step : 1 - limit : 6
% 0.12/0.32 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.35 [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] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11))) & ~! [A8_8, B9_9] : ((subset(singleton(A8_8), B9_9) <=> in(A8_8, B9_9))))
% 0.12/0.35 -> [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] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11))), ~! [A8_8, B9_9] : ((subset(singleton(A8_8), B9_9) <=> in(A8_8, B9_9)))
% 0.12/0.35
% 0.12/0.35 [1] DELTA_EXISTS : ? [A6_6] : (empty(A6_6))
% 0.12/0.35 -> [2] empty(skolem_A66)
% 0.12/0.35
% 0.12/0.35 [2] DELTA_EXISTS : ? [A7_7] : (~empty(A7_7))
% 0.12/0.35 -> [3] ~empty(skolem_A77)
% 0.12/0.35
% 0.12/0.35 [3] DELTA_NOT_FORALL : ~! [A8_8, B9_9] : ((subset(singleton(A8_8), B9_9) <=> in(A8_8, B9_9)))
% 0.12/0.35 -> [4] ~(subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35
% 0.12/0.35 [4] BETA_NOT_EQUIV : ~(subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35 -> [5] ~subset(singleton(skolem_A88), skolem_B99), in(skolem_A88, skolem_B99)
% 0.12/0.35 -> [6] subset(singleton(skolem_A88), skolem_B99), ~in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [6] GAMMA_FORALL : ! [A2_2, B3_3] : (subset(A2_2, A2_2))
% 0.12/0.35 -> [7] subset(A2_0_0, A2_0_0)
% 0.12/0.35
% 0.12/0.35 [7] GAMMA_FORALL : ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4)))
% 0.12/0.35 -> [9] (in(A4_0_1, B5_0_1) => ~in(B5_0_1, A4_0_1))
% 0.12/0.35
% 0.12/0.35 [9] BETA_IMPLY : (in(A4_0_1, B5_0_1) => ~in(B5_0_1, A4_0_1))
% 0.12/0.35 -> [10] ~in(A4_0_1, B5_0_1)
% 0.12/0.35 -> [11] ~in(B5_0_1, A4_0_1)
% 0.12/0.35
% 0.12/0.35 [11] GAMMA_FORALL : ! [A10_10, B11_11] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11)))
% 0.12/0.35 -> [18] (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35
% 0.12/0.35 [18] BETA_EQUIV : (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35 -> [19] ~subset(singleton(skolem_A88), skolem_B99), ~in(skolem_A88, skolem_B99)
% 0.12/0.35 -> [20] subset(singleton(skolem_A88), skolem_B99), in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [19] CLOSURE : ~subset(singleton(skolem_A88), skolem_B99)
% 0.12/0.35
% 0.12/0.35 [20] CLOSURE : in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [10] GAMMA_FORALL : ! [A10_10, B11_11] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11)))
% 0.12/0.35 -> [15] (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35
% 0.12/0.35 [15] BETA_EQUIV : (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35 -> [16] ~subset(singleton(skolem_A88), skolem_B99), ~in(skolem_A88, skolem_B99)
% 0.12/0.35 -> [17] subset(singleton(skolem_A88), skolem_B99), in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [16] CLOSURE : ~subset(singleton(skolem_A88), skolem_B99)
% 0.12/0.35
% 0.12/0.35 [17] CLOSURE : in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [5] GAMMA_FORALL : ! [A2_2, B3_3] : (subset(A2_2, A2_2))
% 0.12/0.35 -> [8] subset(A2_1_0, A2_1_0)
% 0.12/0.35
% 0.12/0.35 [8] GAMMA_FORALL : ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4)))
% 0.12/0.35 -> [12] (in(skolem_A88, skolem_B99) => ~in(skolem_B99, skolem_A88))
% 0.12/0.35
% 0.12/0.35 [12] BETA_IMPLY : (in(skolem_A88, skolem_B99) => ~in(skolem_B99, skolem_A88))
% 0.12/0.35 -> [13] ~in(skolem_A88, skolem_B99)
% 0.12/0.35 -> [14] ~in(skolem_B99, skolem_A88)
% 0.12/0.35
% 0.12/0.35 [13] CLOSURE : ~in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [14] GAMMA_FORALL : ! [A10_10, B11_11] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11)))
% 0.12/0.35 -> [21] (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35
% 0.12/0.35 [21] BETA_EQUIV : (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 0.12/0.35 -> [22] ~subset(singleton(skolem_A88), skolem_B99), ~in(skolem_A88, skolem_B99)
% 0.12/0.35 -> [23] subset(singleton(skolem_A88), skolem_B99), in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [22] CLOSURE : ~in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 [23] CLOSURE : in(skolem_A88, skolem_B99)
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.025012s][1][Res] 141 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.025043s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------