TSTP Solution File: SET910+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET910+1 : 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 04:17:48 EDT 2022
% Result : Theorem 1.39s 0.66s
% Output : Proof 1.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET910+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Sep 3 08:43:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 [DMT] DMT loaded with preskolemization
% 0.14/0.36 [EQ] equality loaded.
% 0.14/0.36 [0.000058s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.36 Start search
% 0.14/0.36 nb_step : 1 - limit : 7
% 0.14/0.36 Launch Gotab with destructive = true
% 1.39/0.65 % SZS output start Proof for theBenchmark.p
% 1.39/0.66 [0] ALPHA_AND : (! [A2_2, B3_3] : (=(set_intersection2(A2_2, B3_3), set_intersection2(B3_3, A2_2))) & ! [A4_4, B5_5] : (=(set_intersection2(A4_4, A4_4), A4_4)) & ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))) & ? [A8_8] : (empty(A8_8)) & ? [A9_9] : (~empty(A9_9)) & ! [A12_12, B13_13] : ((=(set_intersection2(A12_12, singleton(B13_13)), singleton(B13_13)) => in(B13_13, A12_12))) & ~! [A10_10, B11_11] : ((=(set_intersection2(A10_10, singleton(B11_11)), singleton(B11_11)) => in(B11_11, A10_10))))
% 1.39/0.66 -> [1] ! [A2_2, B3_3] : (=(set_intersection2(A2_2, B3_3), set_intersection2(B3_3, A2_2))), ! [A4_4, B5_5] : (=(set_intersection2(A4_4, A4_4), A4_4)), ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6))), ? [A8_8] : (empty(A8_8)), ? [A9_9] : (~empty(A9_9)), ! [A12_12, B13_13] : ((=(set_intersection2(A12_12, singleton(B13_13)), singleton(B13_13)) => in(B13_13, A12_12))), ~! [A10_10, B11_11] : ((=(set_intersection2(A10_10, singleton(B11_11)), singleton(B11_11)) => in(B11_11, A10_10)))
% 1.39/0.66
% 1.39/0.66 [1] DELTA_EXISTS : ? [A8_8] : (empty(A8_8))
% 1.39/0.66 -> [2] empty(skolem_A88)
% 1.39/0.66
% 1.39/0.66 [2] DELTA_EXISTS : ? [A9_9] : (~empty(A9_9))
% 1.39/0.66 -> [3] ~empty(skolem_A99)
% 1.39/0.66
% 1.39/0.66 [3] DELTA_NOT_FORALL : ~! [A10_10, B11_11] : ((=(set_intersection2(A10_10, singleton(B11_11)), singleton(B11_11)) => in(B11_11, A10_10)))
% 1.39/0.66 -> [4] ~(=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111)) => in(skolem_B1111, skolem_A1010))
% 1.39/0.66
% 1.39/0.66 [4] ALPHA_NOT_IMPLY : ~(=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111)) => in(skolem_B1111, skolem_A1010))
% 1.39/0.66 -> [5] =(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111)), ~in(skolem_B1111, skolem_A1010)
% 1.39/0.66
% 1.39/0.66 [5] GAMMA_FORALL : ! [A2_2, B3_3] : (=(set_intersection2(A2_2, B3_3), set_intersection2(B3_3, A2_2)))
% 1.39/0.66 -> [6] =(set_intersection2(A2_0_0, B3_0_0), set_intersection2(B3_0_0, A2_0_0))
% 1.39/0.66
% 1.39/0.66 [6] GAMMA_FORALL : ! [A4_4, B5_5] : (=(set_intersection2(A4_4, A4_4), A4_4))
% 1.39/0.66 -> [7] =(set_intersection2(A4_0_1, A4_0_1), A4_0_1)
% 1.39/0.66
% 1.39/0.66 [7] GAMMA_FORALL : ! [A6_6, B7_7] : ((in(A6_6, B7_7) => ~in(B7_7, A6_6)))
% 1.39/0.66 -> [8] (in(A6_0_2, B7_0_2) => ~in(B7_0_2, A6_0_2))
% 1.39/0.66
% 1.39/0.66 [8] BETA_IMPLY : (in(A6_0_2, B7_0_2) => ~in(B7_0_2, A6_0_2))
% 1.39/0.66 -> [9] ~in(A6_0_2, B7_0_2)
% 1.39/0.66 -> [10] ~in(B7_0_2, A6_0_2)
% 1.39/0.66
% 1.39/0.66 [10] GAMMA_FORALL : ! [A12_12, B13_13] : ((=(set_intersection2(A12_12, singleton(B13_13)), singleton(B13_13)) => in(B13_13, A12_12)))
% 1.39/0.66 -> [11] (=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111)) => in(skolem_B1111, skolem_A1010))
% 1.39/0.66
% 1.39/0.66 [11] BETA_IMPLY : (=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111)) => in(skolem_B1111, skolem_A1010))
% 1.39/0.66 -> [12] ~=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111))
% 1.39/0.66 -> [13] in(skolem_B1111, skolem_A1010)
% 1.39/0.66
% 1.39/0.66 [12] CLOSURE : =
% 1.39/0.66
% 1.39/0.66 [13] CLOSURE : =
% 1.39/0.66
% 1.39/0.66 [9] GAMMA_FORALL : ! [A12_12, B13_13] : ((=(set_intersection2(A12_12, singleton(B13_13)), singleton(B13_13)) => in(B13_13, A12_12)))
% 1.39/0.66 -> [14] (=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111)) => in(skolem_B1111, skolem_A1010))
% 1.39/0.66
% 1.39/0.66 [14] BETA_IMPLY : (=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111)) => in(skolem_B1111, skolem_A1010))
% 1.39/0.66 -> [15] ~=(set_intersection2(skolem_A1010, singleton(skolem_B1111)), singleton(skolem_B1111))
% 1.39/0.66 -> [16] in(skolem_B1111, skolem_A1010)
% 1.39/0.66
% 1.39/0.66 [15] CLOSURE : =
% 1.39/0.66
% 1.39/0.66 [16] CLOSURE : =
% 1.39/0.66
% 1.39/0.66 % SZS output end Proof for theBenchmark.p
% 1.39/0.66 [0.299733s][1][Res] 1947 goroutines created
% 1.39/0.66 ==== Result ====
% 1.39/0.66 [0.299776s][1][Res] VALID
% 1.39/0.66 % SZS status Theorem for theBenchmark.p
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