TSTP Solution File: SEU160+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU160+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n026.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 0.13s 0.35s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU160+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Sep 3 10:00:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000049s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 5
% 0.13/0.34 Launch Gotab with destructive = true
% 0.13/0.35 % SZS output start Proof for theBenchmark.p
% 0.13/0.35 [0] ALPHA_AND : (? [A2_2] : (empty(A2_2)) & ? [A3_3] : (~empty(A3_3)) & ! [A4_4, B5_5] : (subset(A4_4, A4_4)) & $true & $true & empty(empty_set) & ~! [A6_6, B7_7] : ((subset(A6_6, singleton(B7_7)) <=> (=(A6_6, empty_set) | =(A6_6, singleton(B7_7))))))
% 0.13/0.35 -> [1] ? [A2_2] : (empty(A2_2)), ? [A3_3] : (~empty(A3_3)), ! [A4_4, B5_5] : (subset(A4_4, A4_4)), $true, empty(empty_set), ~! [A6_6, B7_7] : ((subset(A6_6, singleton(B7_7)) <=> (=(A6_6, empty_set) | =(A6_6, singleton(B7_7)))))
% 0.13/0.35
% 0.13/0.35 [1] DELTA_EXISTS : ? [A2_2] : (empty(A2_2))
% 0.13/0.35 -> [2] empty(skolem_A22)
% 0.13/0.35
% 0.13/0.35 [2] DELTA_EXISTS : ? [A3_3] : (~empty(A3_3))
% 0.13/0.35 -> [3] ~empty(skolem_A33)
% 0.13/0.35
% 0.13/0.35 [3] DELTA_NOT_FORALL : ~! [A6_6, B7_7] : ((subset(A6_6, singleton(B7_7)) <=> (=(A6_6, empty_set) | =(A6_6, singleton(B7_7)))))
% 0.13/0.35 -> [4] ~(subset(skolem_A66, singleton(skolem_B77)) <=> (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77))))
% 0.13/0.35
% 0.13/0.35 [4] BETA_NOT_EQUIV : ~(subset(skolem_A66, singleton(skolem_B77)) <=> (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77))))
% 0.13/0.35 -> [5] ~subset(skolem_A66, singleton(skolem_B77)), (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35 -> [6] subset(skolem_A66, singleton(skolem_B77)), ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35
% 0.13/0.35 [6] Rewrite : subset(skolem_A66, singleton(skolem_B77))
% 0.13/0.35 -> [8] (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35
% 0.13/0.35 [8] ALPHA_NOT_OR : ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35 -> [9] ~=(skolem_A66, empty_set), ~=(skolem_A66, singleton(skolem_B77))
% 0.13/0.35
% 0.13/0.35 [9] BETA_OR : (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35 -> [11] =(skolem_A66, empty_set)
% 0.13/0.35 -> [12] =(skolem_A66, singleton(skolem_B77))
% 0.13/0.35
% 0.13/0.35 [12] CLOSURE : =(skolem_A66, singleton(skolem_B77))
% 0.13/0.35
% 0.13/0.35 [11] CLOSURE : =(skolem_A66, empty_set)
% 0.13/0.35
% 0.13/0.35 [5] Rewrite : ~subset(skolem_A66, singleton(skolem_B77))
% 0.13/0.35 -> [7] ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35
% 0.13/0.35 [7] ALPHA_NOT_OR : ~(=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35 -> [10] ~=(skolem_A66, empty_set), ~=(skolem_A66, singleton(skolem_B77))
% 0.13/0.35
% 0.13/0.35 [10] BETA_OR : (=(skolem_A66, empty_set) | =(skolem_A66, singleton(skolem_B77)))
% 0.13/0.35 -> [13] =(skolem_A66, empty_set)
% 0.13/0.35 -> [14] =(skolem_A66, singleton(skolem_B77))
% 0.13/0.35
% 0.13/0.35 [13] CLOSURE : =(skolem_A66, empty_set)
% 0.13/0.35
% 0.13/0.35 [14] CLOSURE : =(skolem_A66, singleton(skolem_B77))
% 0.13/0.35
% 0.13/0.35 % SZS output end Proof for theBenchmark.p
% 0.13/0.35 [0.010517s][1][Res] 29 goroutines created
% 0.13/0.35 ==== Result ====
% 0.13/0.35 [0.010557s][1][Res] VALID
% 0.13/0.35 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------