TSTP Solution File: SET585+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n018.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 04:16:42 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n018.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 06:52:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 13
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.36 % SZS output start Proof for theBenchmark.p
% 0.12/0.36 [0] ALPHA_AND : (! [B3_3, C4_4, D5_5] : (((subset(B3_3, C4_4) & subset(C4_4, D5_5)) => subset(B3_3, D5_5))) & ! [B6_6, C7_7] : (subset(B6_6, union(B6_6, C7_7))) & ! [B8_8, C9_9] : (subset(intersection(B8_8, C9_9), B8_8)) & ! [B19_19, C20_20] : (=(union(B19_19, C20_20), union(C20_20, B19_19))) & ! [B21_21, C22_22] : (=(intersection(B21_21, C22_22), intersection(C22_22, B21_21))) & ! [B23_23] : (subset(B23_23, B23_23)) & ! [B24_24, C25_25] : ((=(B24_24, C25_25) <=> ! [D26_26] : ((member(D26_26, B24_24) <=> member(D26_26, C25_25))))) & ~! [B27_27, C28_28, D29_29] : (subset(intersection(B27_27, C28_28), union(B27_27, D29_29))))
% 0.12/0.36 -> [1] ! [B3_3, C4_4, D5_5] : (((subset(B3_3, C4_4) & subset(C4_4, D5_5)) => subset(B3_3, D5_5))), ! [B6_6, C7_7] : (subset(B6_6, union(B6_6, C7_7))), ! [B8_8, C9_9] : (subset(intersection(B8_8, C9_9), B8_8)), ! [B19_19, C20_20] : (=(union(B19_19, C20_20), union(C20_20, B19_19))), ! [B21_21, C22_22] : (=(intersection(B21_21, C22_22), intersection(C22_22, B21_21))), ! [B23_23] : (subset(B23_23, B23_23)), ! [B24_24, C25_25] : ((=(B24_24, C25_25) <=> ! [D26_26] : ((member(D26_26, B24_24) <=> member(D26_26, C25_25))))), ~! [B27_27, C28_28, D29_29] : (subset(intersection(B27_27, C28_28), union(B27_27, D29_29)))
% 0.12/0.36
% 0.12/0.36 [1] DELTA_NOT_FORALL : ~! [B27_27, C28_28, D29_29] : (subset(intersection(B27_27, C28_28), union(B27_27, D29_29)))
% 0.12/0.36 -> [2] ~subset(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929))
% 0.12/0.36
% 0.12/0.36 [2] Rewrite : ~subset(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929))
% 0.12/0.36 -> [3] ~(member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), intersection(skolem_B2727, skolem_C2828)) => member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), union(skolem_B2727, skolem_D2929)))
% 0.12/0.36
% 0.12/0.36 [3] ALPHA_NOT_IMPLY : ~(member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), intersection(skolem_B2727, skolem_C2828)) => member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), union(skolem_B2727, skolem_D2929)))
% 0.12/0.36 -> [4] member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), intersection(skolem_B2727, skolem_C2828)), ~member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), union(skolem_B2727, skolem_D2929))
% 0.12/0.36
% 0.12/0.36 [4] Rewrite : member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), intersection(skolem_B2727, skolem_C2828))
% 0.12/0.36 -> [5] (member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_B2727) & member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_C2828))
% 0.12/0.36
% 0.12/0.36 [5] Rewrite : ~member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), union(skolem_B2727, skolem_D2929))
% 0.12/0.36 -> [6] ~(member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_B2727) | member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_D2929))
% 0.12/0.36
% 0.12/0.36 [6] ALPHA_AND : (member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_B2727) & member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_C2828))
% 0.12/0.36 -> [7] member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_B2727), member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_C2828)
% 0.12/0.36
% 0.12/0.36 [7] ALPHA_NOT_OR : ~(member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_B2727) | member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_D2929))
% 0.12/0.36 -> [8] ~member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_B2727), ~member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_D2929)
% 0.12/0.36
% 0.12/0.36 [8] CLOSURE : ~member(skolem_D1818(intersection(skolem_B2727, skolem_C2828), union(skolem_B2727, skolem_D2929)), skolem_B2727)
% 0.12/0.36
% 0.12/0.36 % SZS output end Proof for theBenchmark.p
% 0.12/0.36 [0.018552s][1][Res] 24 goroutines created
% 0.12/0.36 ==== Result ====
% 0.12/0.36 [0.018583s][1][Res] VALID
% 0.12/0.36 % SZS status Theorem for theBenchmark.p
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