TSTP Solution File: SEU160+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n022.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 05:55:38 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
% 0.07/0.12 % Problem : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n022.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 09:47:39 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 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 5
% 0.12/0.34 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)) & empty(empty_set) & ? [A4_4] : (empty(A4_4)) & ? [A5_5] : (~empty(A5_5)) & ~! [A6_6, B7_7] : ((subset(A6_6, singleton(B7_7)) <=> (=(A6_6, empty_set) | =(A6_6, singleton(B7_7))))))
% 0.12/0.35 -> [1] ! [A2_2, B3_3] : (subset(A2_2, A2_2)), empty(empty_set), ? [A4_4] : (empty(A4_4)), ? [A5_5] : (~empty(A5_5)), ~! [A6_6, B7_7] : ((subset(A6_6, singleton(B7_7)) <=> (=(A6_6, empty_set) | =(A6_6, singleton(B7_7)))))
% 0.12/0.35
% 0.12/0.35 [1] DELTA_EXISTS : ? [A4_4] : (empty(A4_4))
% 0.12/0.35 -> [2] empty(skolem_A44)
% 0.12/0.35
% 0.12/0.35 [2] DELTA_EXISTS : ? [A5_5] : (~empty(A5_5))
% 0.12/0.35 -> [3] ~empty(skolem_A55)
% 0.12/0.35
% 0.12/0.35 [3] DELTA_NOT_FORALL : ~! [A6_6, B7_7] : ((subset(A6_6, singleton(B7_7)) <=> (=(A6_6, empty_set) | =(A6_6, singleton(B7_7)))))
% 0.12/0.35 -> [4] ~(subset(skolem_A66, singleton(skolem_B77)) <=> (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77))))
% 0.12/0.35
% 0.12/0.35 [4] BETA_NOT_EQUIV : ~(subset(skolem_A66, singleton(skolem_B77)) <=> (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77))))
% 0.12/0.35 -> [5] ~subset(skolem_A66, singleton(skolem_B77)), (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35 -> [6] subset(skolem_A66, singleton(skolem_B77)), ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35
% 0.12/0.35 [5] Rewrite : ~subset(skolem_A66, singleton(skolem_B77))
% 0.12/0.35 -> [7] ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35
% 0.12/0.35 [7] ALPHA_NOT_OR : ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35 -> [9] ~=(skolem_A66, empty_set), ~=(skolem_A66, singleton(skolem_B77))
% 0.12/0.35
% 0.12/0.35 [9] BETA_OR : (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35 -> [13] =(skolem_A66, empty_set)
% 0.12/0.35 -> [14] =(skolem_A66, singleton(skolem_B77))
% 0.12/0.35
% 0.12/0.35 [13] CLOSURE : =(skolem_A66, empty_set)
% 0.12/0.35
% 0.12/0.35 [14] CLOSURE : =(skolem_A66, singleton(skolem_B77))
% 0.12/0.35
% 0.12/0.35 [6] Rewrite : subset(skolem_A66, singleton(skolem_B77))
% 0.12/0.35 -> [8] (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35
% 0.12/0.35 [8] ALPHA_NOT_OR : ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35 -> [10] ~=(skolem_A66, empty_set), ~=(skolem_A66, singleton(skolem_B77))
% 0.12/0.35
% 0.12/0.35 [10] BETA_OR : (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.12/0.35 -> [11] =(skolem_A66, empty_set)
% 0.12/0.35 -> [12] =(skolem_A66, singleton(skolem_B77))
% 0.12/0.35
% 0.12/0.35 [12] CLOSURE : =(skolem_A66, singleton(skolem_B77))
% 0.12/0.35
% 0.12/0.35 [11] CLOSURE : =(skolem_A66, empty_set)
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.010901s][1][Res] 29 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.010934s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
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