TSTP Solution File: SET901+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n002.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 04:17:46 EDT 2022
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Sep 3 08:42:17 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 [DMT] DMT loaded with preskolemization
% 0.14/0.35 [EQ] equality loaded.
% 0.14/0.35 [0.000050s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.36 Start search
% 0.14/0.36 nb_step : 1 - limit : 6
% 0.14/0.36 Launch Gotab with destructive = true
% 0.20/0.39 % SZS output start Proof for theBenchmark.p
% 0.20/0.39 [0] ALPHA_AND : (! [A3_3, B4_4] : (=(unordered_pair(A3_3, B4_4), unordered_pair(B4_4, A3_3))) & ! [A5_5, B6_6] : (subset(A5_5, A5_5)) & empty(empty_set) & ? [A7_7] : (empty(A7_7)) & ? [A8_8] : (~empty(A8_8)) & ~! [A9_9, B10_10, C11_11] : ((subset(A9_9, unordered_pair(B10_10, C11_11)) <=> ~(((~=(A9_9, empty_set) & ~=(A9_9, singleton(B10_10))) & ~=(A9_9, singleton(C11_11))) & ~=(A9_9, unordered_pair(B10_10, C11_11))))))
% 0.20/0.39 -> [1] ! [A3_3, B4_4] : (=(unordered_pair(A3_3, B4_4), unordered_pair(B4_4, A3_3))), ! [A5_5, B6_6] : (subset(A5_5, A5_5)), empty(empty_set), ? [A7_7] : (empty(A7_7)), ? [A8_8] : (~empty(A8_8)), ~! [A9_9, B10_10, C11_11] : ((subset(A9_9, unordered_pair(B10_10, C11_11)) <=> ~(((~=(A9_9, empty_set) & ~=(A9_9, singleton(B10_10))) & ~=(A9_9, singleton(C11_11))) & ~=(A9_9, unordered_pair(B10_10, C11_11)))))
% 0.20/0.39
% 0.20/0.39 [1] DELTA_EXISTS : ? [A7_7] : (empty(A7_7))
% 0.20/0.39 -> [2] empty(skolem_A77)
% 0.20/0.39
% 0.20/0.39 [2] DELTA_EXISTS : ? [A8_8] : (~empty(A8_8))
% 0.20/0.39 -> [3] ~empty(skolem_A88)
% 0.20/0.39
% 0.20/0.39 [3] DELTA_NOT_FORALL : ~! [A9_9, B10_10, C11_11] : ((subset(A9_9, unordered_pair(B10_10, C11_11)) <=> ~(((~=(A9_9, empty_set) & ~=(A9_9, singleton(B10_10))) & ~=(A9_9, singleton(C11_11))) & ~=(A9_9, unordered_pair(B10_10, C11_11)))))
% 0.20/0.39 -> [4] ~(subset(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)) <=> ~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))))
% 0.20/0.39
% 0.20/0.39 [4] BETA_NOT_EQUIV : ~(subset(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)) <=> ~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))))
% 0.20/0.39 -> [5] ~subset(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)), ~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39 -> [6] subset(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)), ~~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39
% 0.20/0.39 [6] Rewrite : subset(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39 -> [8] ~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39
% 0.20/0.39 [8] ALPHA_NOT_NOT : ~~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39 -> [10] (((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39
% 0.20/0.39 [10] ALPHA_AND : (((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39 -> [12] ((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))), ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [12] ALPHA_AND : ((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111)))
% 0.20/0.39 -> [14] (~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))), ~=(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [14] ALPHA_AND : (~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010)))
% 0.20/0.39 -> [15] ~=(skolem_A99, empty_set), ~=(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 [15] BETA_NOT_AND : ~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39 -> [18] ~((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111)))
% 0.20/0.39 -> [19] ~~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [19] ALPHA_NOT_NOT : ~~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39 -> [25] =(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [25] CLOSURE : =(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [18] BETA_NOT_AND : ~((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111)))
% 0.20/0.39 -> [23] ~(~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010)))
% 0.20/0.39 -> [24] ~~=(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [24] ALPHA_NOT_NOT : ~~=(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39 -> [29] =(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [29] CLOSURE : =(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [23] BETA_NOT_AND : ~(~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010)))
% 0.20/0.39 -> [26] ~~=(skolem_A99, empty_set)
% 0.20/0.39 -> [27] ~~=(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 [26] ALPHA_NOT_NOT : ~~=(skolem_A99, empty_set)
% 0.20/0.39 -> [32] =(skolem_A99, empty_set)
% 0.20/0.39
% 0.20/0.39 [32] CLOSURE : =(skolem_A99, empty_set)
% 0.20/0.39
% 0.20/0.39 [27] ALPHA_NOT_NOT : ~~=(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39 -> [34] =(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 [34] CLOSURE : =(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 [5] Rewrite : ~subset(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39 -> [7] (((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39
% 0.20/0.39 [7] ALPHA_AND : (((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39 -> [9] ((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))), ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [9] ALPHA_AND : ((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111)))
% 0.20/0.39 -> [11] (~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))), ~=(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [11] ALPHA_AND : (~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010)))
% 0.20/0.39 -> [13] ~=(skolem_A99, empty_set), ~=(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 [13] BETA_NOT_AND : ~(((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111))) & ~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111)))
% 0.20/0.39 -> [16] ~((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111)))
% 0.20/0.39 -> [17] ~~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [17] ALPHA_NOT_NOT : ~~=(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39 -> [20] =(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [20] CLOSURE : =(skolem_A99, unordered_pair(skolem_B1010, skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [16] BETA_NOT_AND : ~((~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010))) & ~=(skolem_A99, singleton(skolem_C1111)))
% 0.20/0.39 -> [21] ~(~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010)))
% 0.20/0.39 -> [22] ~~=(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [22] ALPHA_NOT_NOT : ~~=(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39 -> [28] =(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [28] CLOSURE : =(skolem_A99, singleton(skolem_C1111))
% 0.20/0.39
% 0.20/0.39 [21] BETA_NOT_AND : ~(~=(skolem_A99, empty_set) & ~=(skolem_A99, singleton(skolem_B1010)))
% 0.20/0.39 -> [30] ~~=(skolem_A99, empty_set)
% 0.20/0.39 -> [31] ~~=(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 [30] ALPHA_NOT_NOT : ~~=(skolem_A99, empty_set)
% 0.20/0.39 -> [33] =(skolem_A99, empty_set)
% 0.20/0.39
% 0.20/0.39 [33] CLOSURE : =(skolem_A99, empty_set)
% 0.20/0.39
% 0.20/0.39 [31] ALPHA_NOT_NOT : ~~=(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39 -> [35] =(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 [35] CLOSURE : =(skolem_A99, singleton(skolem_B1010))
% 0.20/0.39
% 0.20/0.39 % SZS output end Proof for theBenchmark.p
% 0.20/0.39 [0.038435s][1][Res] 69 goroutines created
% 0.20/0.39 ==== Result ====
% 0.20/0.39 [0.038472s][1][Res] VALID
% 0.20/0.39 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------