TSTP Solution File: SET602+3 by Goeland---1.0.0
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% File : Goeland---1.0.0
% Problem : SET602+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n007.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 04:16:48 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET602+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Sep 3 06:38:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000042s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.36 Start search
% 0.13/0.36 nb_step : 1 - limit : 10
% 0.13/0.36 Launch Gotab with destructive = true
% 0.20/0.38 % SZS output start Proof for theBenchmark.p
% 0.20/0.38 [0] ALPHA_AND : (! [B3_3, C4_4] : ((=(difference(B3_3, C4_4), empty_set) <=> subset(B3_3, C4_4))) & ! [B5_5] : (~member(B5_5, empty_set)) & ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9)))) & ! [B14_14] : (subset(B14_14, B14_14)) & ~! [B17_17] : (=(difference(B17_17, B17_17), empty_set)))
% 0.20/0.38 -> [1] ! [B3_3, C4_4] : ((=(difference(B3_3, C4_4), empty_set) <=> subset(B3_3, C4_4))), ! [B5_5] : (~member(B5_5, empty_set)), ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9)))), ! [B14_14] : (subset(B14_14, B14_14)), ~! [B17_17] : (=(difference(B17_17, B17_17), empty_set))
% 0.20/0.38
% 0.20/0.38 [1] DELTA_NOT_FORALL : ~! [B17_17] : (=(difference(B17_17, B17_17), empty_set))
% 0.20/0.38 -> [2] ~=(difference(skolem_B1717, skolem_B1717), empty_set)
% 0.20/0.38
% 0.20/0.38 [2] GAMMA_FORALL : ! [B3_3, C4_4] : ((=(difference(B3_3, C4_4), empty_set) <=> subset(B3_3, C4_4)))
% 0.20/0.38 -> [3] (=(difference(skolem_B1717, skolem_B1717), empty_set) <=> subset(skolem_B1717, skolem_B1717))
% 0.20/0.38
% 0.20/0.38 [3] BETA_EQUIV : (=(difference(skolem_B1717, skolem_B1717), empty_set) <=> subset(skolem_B1717, skolem_B1717))
% 0.20/0.38 -> [4] ~=(difference(skolem_B1717, skolem_B1717), empty_set), ~subset(skolem_B1717, skolem_B1717)
% 0.20/0.38 -> [5] =(difference(skolem_B1717, skolem_B1717), empty_set), subset(skolem_B1717, skolem_B1717)
% 0.20/0.38
% 0.20/0.38 [4] Rewrite : ~subset(skolem_B1717, skolem_B1717)
% 0.20/0.38 -> [6] ~(member(skolem_D1313(skolem_B1717, skolem_B1717), skolem_B1717) => member(skolem_D1313(skolem_B1717, skolem_B1717), skolem_B1717))
% 0.20/0.38
% 0.20/0.38 [6] ALPHA_NOT_IMPLY : ~(member(skolem_D1313(skolem_B1717, skolem_B1717), skolem_B1717) => member(skolem_D1313(skolem_B1717, skolem_B1717), skolem_B1717))
% 0.20/0.38 -> [7] member(skolem_D1313(skolem_B1717, skolem_B1717), skolem_B1717), ~member(skolem_D1313(skolem_B1717, skolem_B1717), skolem_B1717)
% 0.20/0.38
% 0.20/0.38 [7] CLOSURE : ~member(skolem_D1313(skolem_B1717, skolem_B1717), skolem_B1717)
% 0.20/0.38
% 0.20/0.38 [5] CLOSURE : =
% 0.20/0.38
% 0.20/0.38 % SZS output end Proof for theBenchmark.p
% 0.20/0.38 [0.024702s][1][Res] 60 goroutines created
% 0.20/0.38 ==== Result ====
% 0.20/0.38 [0.024738s][1][Res] VALID
% 0.20/0.38 % SZS status Theorem for theBenchmark.p
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