TSTP Solution File: SET622+3 by Goeland---1.0.0
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% File : Goeland---1.0.0
% Problem : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n003.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 04:16:54 EDT 2022
% Result : Theorem 0.61s 0.67s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n003.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 07:00:10 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 17
% 0.12/0.34 Launch Gotab with destructive = true
% 0.61/0.67 % SZS output start Proof for theBenchmark.p
% 0.61/0.67 [0] ALPHA_AND : (! [B3_3, C4_4, D5_5] : (=(intersection(intersection(B3_3, C4_4), D5_5), intersection(B3_3, intersection(C4_4, D5_5)))) & ! [B6_6, C7_7, D8_8] : (=(difference(B6_6, difference(C7_7, D8_8)), union(difference(B6_6, C7_7), intersection(B6_6, D8_8)))) & ! [B9_9, C10_10] : (=(symmetric_difference(B9_9, C10_10), difference(union(B9_9, C10_10), intersection(B9_9, C10_10)))) & ! [B20_20, C21_21] : (=(symmetric_difference(B20_20, C21_21), union(difference(B20_20, C21_21), difference(C21_21, B20_20)))) & ! [B22_22, C23_23] : ((=(B22_22, C23_23) <=> (subset(B22_22, C23_23) & subset(C23_23, B22_22)))) & ! [B24_24, C25_25] : (=(union(B24_24, C25_25), union(C25_25, B24_24))) & ! [B26_26, C27_27] : (=(intersection(B26_26, C27_27), intersection(C27_27, B26_26))) & ! [B28_28, C29_29] : (=(symmetric_difference(B28_28, C29_29), symmetric_difference(C29_29, B28_28))) & ! [B30_30, C31_31] : ((=(B30_30, C31_31) <=> ! [D32_32] : ((member(D32_32, B30_30) <=> member(D32_32, C31_31))))) & ! [B36_36] : (subset(B36_36, B36_36)) & ~! [B37_37, C38_38, D39_39] : (=(difference(B37_37, symmetric_difference(C38_38, D39_39)), union(difference(B37_37, union(C38_38, D39_39)), intersection(intersection(B37_37, C38_38), D39_39)))))
% 0.61/0.67 -> [1] ! [B3_3, C4_4, D5_5] : (=(intersection(intersection(B3_3, C4_4), D5_5), intersection(B3_3, intersection(C4_4, D5_5)))), ! [B6_6, C7_7, D8_8] : (=(difference(B6_6, difference(C7_7, D8_8)), union(difference(B6_6, C7_7), intersection(B6_6, D8_8)))), ! [B9_9, C10_10] : (=(symmetric_difference(B9_9, C10_10), difference(union(B9_9, C10_10), intersection(B9_9, C10_10)))), ! [B20_20, C21_21] : (=(symmetric_difference(B20_20, C21_21), union(difference(B20_20, C21_21), difference(C21_21, B20_20)))), ! [B22_22, C23_23] : ((=(B22_22, C23_23) <=> (subset(B22_22, C23_23) & subset(C23_23, B22_22)))), ! [B24_24, C25_25] : (=(union(B24_24, C25_25), union(C25_25, B24_24))), ! [B26_26, C27_27] : (=(intersection(B26_26, C27_27), intersection(C27_27, B26_26))), ! [B28_28, C29_29] : (=(symmetric_difference(B28_28, C29_29), symmetric_difference(C29_29, B28_28))), ! [B30_30, C31_31] : ((=(B30_30, C31_31) <=> ! [D32_32] : ((member(D32_32, B30_30) <=> member(D32_32, C31_31))))), ! [B36_36] : (subset(B36_36, B36_36)), ~! [B37_37, C38_38, D39_39] : (=(difference(B37_37, symmetric_difference(C38_38, D39_39)), union(difference(B37_37, union(C38_38, D39_39)), intersection(intersection(B37_37, C38_38), D39_39))))
% 0.61/0.67
% 0.61/0.67 [1] DELTA_NOT_FORALL : ~! [B37_37, C38_38, D39_39] : (=(difference(B37_37, symmetric_difference(C38_38, D39_39)), union(difference(B37_37, union(C38_38, D39_39)), intersection(intersection(B37_37, C38_38), D39_39))))
% 0.61/0.67 -> [2] ~=(difference(skolem_B3737, symmetric_difference(skolem_C3838, skolem_D3939)), union(difference(skolem_B3737, union(skolem_C3838, skolem_D3939)), intersection(intersection(skolem_B3737, skolem_C3838), skolem_D3939)))
% 0.61/0.67
% 0.61/0.67 [2] GAMMA_FORALL : ! [B3_3, C4_4, D5_5] : (=(intersection(intersection(B3_3, C4_4), D5_5), intersection(B3_3, intersection(C4_4, D5_5))))
% 0.61/0.67 -> [3] =(intersection(intersection(B3_0_0, C4_0_0), D5_0_0), intersection(B3_0_0, intersection(C4_0_0, D5_0_0)))
% 0.61/0.67
% 0.61/0.67 [3] GAMMA_FORALL : ! [B6_6, C7_7, D8_8] : (=(difference(B6_6, difference(C7_7, D8_8)), union(difference(B6_6, C7_7), intersection(B6_6, D8_8))))
% 0.61/0.67 -> [4] =(difference(B6_0_1, difference(C7_0_1, D8_0_1)), union(difference(B6_0_1, C7_0_1), intersection(B6_0_1, D8_0_1)))
% 0.61/0.67
% 0.61/0.67 [4] GAMMA_FORALL : ! [B9_9, C10_10] : (=(symmetric_difference(B9_9, C10_10), difference(union(B9_9, C10_10), intersection(B9_9, C10_10))))
% 0.61/0.67 -> [5] =(symmetric_difference(B9_0_2, C10_0_2), difference(union(B9_0_2, C10_0_2), intersection(B9_0_2, C10_0_2)))
% 0.61/0.67
% 0.61/0.67 [5] CLOSURE : =
% 0.61/0.67
% 0.61/0.67 % SZS output end Proof for theBenchmark.p
% 0.61/0.67 [0.331012s][1][Res] 1234 goroutines created
% 0.61/0.67 ==== Result ====
% 0.61/0.67 [0.331052s][1][Res] VALID
% 0.61/0.67 % SZS status Theorem for theBenchmark.p
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