TSTP Solution File: SET926+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n004.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 04:17:51 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n004.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 08:31:49 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 [0.000039s][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
% 0.19/0.47 % SZS output start Proof for theBenchmark.p
% 0.19/0.47 [0] ALPHA_AND : (! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))) & empty(empty_set) & ! [A4_4, B5_5] : ((=(set_difference(singleton(A4_4), B5_5), singleton(A4_4)) <=> ~in(A4_4, B5_5))) & ! [A6_6, B7_7] : ((=(set_difference(singleton(A6_6), B7_7), empty_set) <=> in(A6_6, B7_7))) & ? [A8_8] : (empty(A8_8)) & ? [A9_9] : (~empty(A9_9)) & ~! [A10_10, B11_11] : ((=(set_difference(singleton(A10_10), B11_11), empty_set) | =(set_difference(singleton(A10_10), B11_11), singleton(A10_10)))))
% 0.19/0.47 -> [1] ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))), empty(empty_set), ! [A4_4, B5_5] : ((=(set_difference(singleton(A4_4), B5_5), singleton(A4_4)) <=> ~in(A4_4, B5_5))), ! [A6_6, B7_7] : ((=(set_difference(singleton(A6_6), B7_7), empty_set) <=> in(A6_6, B7_7))), ? [A8_8] : (empty(A8_8)), ? [A9_9] : (~empty(A9_9)), ~! [A10_10, B11_11] : ((=(set_difference(singleton(A10_10), B11_11), empty_set) | =(set_difference(singleton(A10_10), B11_11), singleton(A10_10))))
% 0.19/0.47
% 0.19/0.47 [1] DELTA_EXISTS : ? [A8_8] : (empty(A8_8))
% 0.19/0.47 -> [2] empty(skolem_A88)
% 0.19/0.47
% 0.19/0.47 [2] DELTA_EXISTS : ? [A9_9] : (~empty(A9_9))
% 0.19/0.47 -> [3] ~empty(skolem_A99)
% 0.19/0.47
% 0.19/0.47 [3] DELTA_NOT_FORALL : ~! [A10_10, B11_11] : ((=(set_difference(singleton(A10_10), B11_11), empty_set) | =(set_difference(singleton(A10_10), B11_11), singleton(A10_10))))
% 0.19/0.47 -> [4] ~(=(set_difference(singleton(skolem_A1010), skolem_B1111), empty_set) | =(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)))
% 0.19/0.47
% 0.19/0.47 [4] ALPHA_NOT_OR : ~(=(set_difference(singleton(skolem_A1010), skolem_B1111), empty_set) | =(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)))
% 0.19/0.47 -> [5] ~=(set_difference(singleton(skolem_A1010), skolem_B1111), empty_set), ~=(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010))
% 0.19/0.47
% 0.19/0.47 [5] GAMMA_FORALL : ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2)))
% 0.19/0.47 -> [6] (in(skolem_B1111, skolem_A1010) => ~in(skolem_A1010, skolem_B1111))
% 0.19/0.47
% 0.19/0.47 [6] BETA_IMPLY : (in(skolem_B1111, skolem_A1010) => ~in(skolem_A1010, skolem_B1111))
% 0.19/0.47 -> [7] ~in(skolem_B1111, skolem_A1010)
% 0.19/0.47 -> [8] ~in(skolem_A1010, skolem_B1111)
% 0.19/0.47
% 0.19/0.47 [8] GAMMA_FORALL : ! [A4_4, B5_5] : ((=(set_difference(singleton(A4_4), B5_5), singleton(A4_4)) <=> ~in(A4_4, B5_5)))
% 0.19/0.47 -> [12] (=(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)) <=> ~in(skolem_A1010, skolem_B1111))
% 0.19/0.47
% 0.19/0.47 [12] BETA_EQUIV : (=(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)) <=> ~in(skolem_A1010, skolem_B1111))
% 0.19/0.47 -> [13] ~=(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)), ~~in(skolem_A1010, skolem_B1111)
% 0.19/0.47 -> [14] =(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)), ~in(skolem_A1010, skolem_B1111)
% 0.19/0.47
% 0.19/0.47 [14] CLOSURE : =
% 0.19/0.47
% 0.19/0.47 [16] CLOSURE : in(skolem_A1010, skolem_B1111)
% 0.19/0.47
% 0.19/0.47 [9] BETA_EQUIV : (=(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)) <=> ~in(skolem_A1010, skolem_B1111))
% 0.19/0.47 -> [17] ~=(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)), ~~in(skolem_A1010, skolem_B1111)
% 0.19/0.47 -> [18] =(set_difference(singleton(skolem_A1010), skolem_B1111), singleton(skolem_A1010)), ~in(skolem_A1010, skolem_B1111)
% 0.19/0.47
% 0.19/0.47 [18] CLOSURE : =
% 0.19/0.47
% 0.19/0.47 [19] GAMMA_FORALL : ! [A6_6, B7_7] : ((=(set_difference(singleton(A6_6), B7_7), empty_set) <=> in(A6_6, B7_7)))
% 0.19/0.47 -> [20] (=(set_difference(singleton(skolem_A1010), skolem_B1111), empty_set) <=> in(skolem_A1010, skolem_B1111))
% 0.19/0.47
% 0.19/0.47 [20] BETA_EQUIV : (=(set_difference(singleton(skolem_A1010), skolem_B1111), empty_set) <=> in(skolem_A1010, skolem_B1111))
% 0.19/0.47 -> [21] ~=(set_difference(singleton(skolem_A1010), skolem_B1111), empty_set), ~in(skolem_A1010, skolem_B1111)
% 0.19/0.47 -> [22] =(set_difference(singleton(skolem_A1010), skolem_B1111), empty_set), in(skolem_A1010, skolem_B1111)
% 0.19/0.47
% 0.19/0.47 [21] CLOSURE : ~in(skolem_A1010, skolem_B1111)
% 0.19/0.47
% 0.19/0.47 [22] CLOSURE : =
% 0.19/0.47
% 0.19/0.47 % SZS output end Proof for theBenchmark.p
% 0.19/0.47 [0.126398s][1][Res] 473 goroutines created
% 0.19/0.47 ==== Result ====
% 0.19/0.47 [0.126459s][1][Res] VALID
% 0.19/0.47 % SZS status Theorem for theBenchmark.p
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