TSTP Solution File: SET583+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n001.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 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 07:09:25 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
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 5
% 0.12/0.35 Launch Gotab with destructive = true
% 0.20/0.39 % SZS output start Proof for theBenchmark.p
% 0.20/0.39 [0] ALPHA_AND : (! [B3_3, C4_4] : ((=(B3_3, C4_4) <=> (subset(B3_3, C4_4) & subset(C4_4, B3_3)))) & ! [B8_8] : (subset(B8_8, B8_8)) & ~! [B9_9, C10_10] : (((subset(B9_9, C10_10) & subset(C10_10, B9_9)) => =(B9_9, C10_10))))
% 0.20/0.39 -> [1] ! [B3_3, C4_4] : ((=(B3_3, C4_4) <=> (subset(B3_3, C4_4) & subset(C4_4, B3_3)))), ! [B8_8] : (subset(B8_8, B8_8)), ~! [B9_9, C10_10] : (((subset(B9_9, C10_10) & subset(C10_10, B9_9)) => =(B9_9, C10_10)))
% 0.20/0.39
% 0.20/0.39 [1] DELTA_NOT_FORALL : ~! [B9_9, C10_10] : (((subset(B9_9, C10_10) & subset(C10_10, B9_9)) => =(B9_9, C10_10)))
% 0.20/0.39 -> [2] ~((subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99)) => =(skolem_B99, skolem_C1010))
% 0.20/0.39
% 0.20/0.39 [2] ALPHA_NOT_IMPLY : ~((subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99)) => =(skolem_B99, skolem_C1010))
% 0.20/0.39 -> [3] (subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99)), ~=(skolem_B99, skolem_C1010)
% 0.20/0.39
% 0.20/0.39 [3] ALPHA_AND : (subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99))
% 0.20/0.39 -> [4] subset(skolem_B99, skolem_C1010), subset(skolem_C1010, skolem_B99)
% 0.20/0.39
% 0.20/0.39 [4] Rewrite : subset(skolem_B99, skolem_C1010)
% 0.20/0.39 -> [5] ! [D7_7] : ((member(D7_7, skolem_B99) => member(D7_7, skolem_C1010)))
% 0.20/0.39
% 0.20/0.39 [5] Rewrite : subset(skolem_C1010, skolem_B99)
% 0.20/0.39 -> [6] ! [D7_7] : ((member(D7_7, skolem_C1010) => member(D7_7, skolem_B99)))
% 0.20/0.39
% 0.20/0.39 [6] GAMMA_FORALL : ! [B3_3, C4_4] : ((=(B3_3, C4_4) <=> (subset(B3_3, C4_4) & subset(C4_4, B3_3))))
% 0.20/0.39 -> [7] (=(skolem_B99, skolem_C1010) <=> (subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99)))
% 0.20/0.39
% 0.20/0.39 [7] BETA_EQUIV : (=(skolem_B99, skolem_C1010) <=> (subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99)))
% 0.20/0.39 -> [8] ~=(skolem_B99, skolem_C1010), ~(subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99))
% 0.20/0.39 -> [9] =(skolem_B99, skolem_C1010), (subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99))
% 0.20/0.39
% 0.20/0.39 [9] ALPHA_AND : (subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99))
% 0.20/0.39 -> [10] subset(skolem_B99, skolem_C1010), subset(skolem_C1010, skolem_B99)
% 0.20/0.39
% 0.20/0.39 [10] CLOSURE : =
% 0.20/0.39
% 0.20/0.39 [8] BETA_NOT_AND : ~(subset(skolem_B99, skolem_C1010) & subset(skolem_C1010, skolem_B99))
% 0.20/0.39 -> [29] ~subset(skolem_B99, skolem_C1010)
% 0.20/0.39 -> [30] ~subset(skolem_C1010, skolem_B99)
% 0.20/0.39
% 0.20/0.39 [29] Rewrite : ~subset(skolem_B99, skolem_C1010)
% 0.20/0.39 -> [31] ~(member(skolem_D77(skolem_B99, skolem_C1010), skolem_B99) => member(skolem_D77(skolem_B99, skolem_C1010), skolem_C1010))
% 0.20/0.39
% 0.20/0.39 [31] ALPHA_NOT_IMPLY : ~(member(skolem_D77(skolem_B99, skolem_C1010), skolem_B99) => member(skolem_D77(skolem_B99, skolem_C1010), skolem_C1010))
% 0.20/0.39 -> [33] member(skolem_D77(skolem_B99, skolem_C1010), skolem_B99), ~member(skolem_D77(skolem_B99, skolem_C1010), skolem_C1010)
% 0.20/0.39
% 0.20/0.39 [33] GAMMA_FORALL : ! [B8_8] : (subset(B8_8, B8_8))
% 0.20/0.39 -> [35] subset(B8_1_1, B8_1_1)
% 0.20/0.39
% 0.20/0.39 [35] Rewrite : subset(B8_1_1, B8_1_1)
% 0.20/0.39 -> [37] ! [D7_7] : ((member(D7_7, B8_1_1) => member(D7_7, B8_1_1)))
% 0.20/0.39
% 0.20/0.39 [37] GAMMA_FORALL : ! [D7_7] : ((member(D7_7, skolem_B99) => member(D7_7, skolem_C1010)))
% 0.20/0.39 -> [39] (member(skolem_D77(skolem_B99, skolem_C1010), skolem_B99) => member(skolem_D77(skolem_B99, skolem_C1010), skolem_C1010))
% 0.20/0.39
% 0.20/0.39 [39] BETA_IMPLY : (member(skolem_D77(skolem_B99, skolem_C1010), skolem_B99) => member(skolem_D77(skolem_B99, skolem_C1010), skolem_C1010))
% 0.20/0.39 -> [40] ~member(skolem_D77(skolem_B99, skolem_C1010), skolem_B99)
% 0.20/0.39 -> [41] member(skolem_D77(skolem_B99, skolem_C1010), skolem_C1010)
% 0.20/0.39
% 0.20/0.39 [40] CLOSURE : ~member(skolem_D77(skolem_B99, skolem_C1010), skolem_B99)
% 0.20/0.39
% 0.20/0.39 [41] CLOSURE : member(skolem_D77(skolem_B99, skolem_C1010), skolem_C1010)
% 0.20/0.39
% 0.20/0.39 [30] Rewrite : ~subset(skolem_C1010, skolem_B99)
% 0.20/0.39 -> [32] ~(member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010) => member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99))
% 0.20/0.39
% 0.20/0.39 [32] ALPHA_NOT_IMPLY : ~(member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010) => member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99))
% 0.20/0.39 -> [34] member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010), ~member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99)
% 0.20/0.39
% 0.20/0.39 [34] GAMMA_FORALL : ! [B8_8] : (subset(B8_8, B8_8))
% 0.20/0.39 -> [36] subset(B8_2_1, B8_2_1)
% 0.20/0.39
% 0.20/0.39 [36] Rewrite : subset(B8_2_1, B8_2_1)
% 0.20/0.39 -> [38] ! [D7_7] : ((member(D7_7, B8_2_1) => member(D7_7, B8_2_1)))
% 0.20/0.39
% 0.20/0.39 [38] GAMMA_FORALL : ! [D7_7] : ((member(D7_7, skolem_B99) => member(D7_7, skolem_C1010)))
% 0.20/0.39 -> [42] (member(D7_6_2, skolem_B99) => member(D7_6_2, skolem_C1010))
% 0.20/0.39
% 0.20/0.39 [42] BETA_IMPLY : (member(D7_6_2, skolem_B99) => member(D7_6_2, skolem_C1010))
% 0.20/0.39 -> [43] ~member(D7_6_2, skolem_B99)
% 0.20/0.39 -> [44] member(D7_6_2, skolem_C1010)
% 0.20/0.39
% 0.20/0.39 [43] GAMMA_FORALL : ! [D7_7] : ((member(D7_7, skolem_C1010) => member(D7_7, skolem_B99)))
% 0.20/0.39 -> [45] (member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010) => member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99))
% 0.20/0.39
% 0.20/0.39 [45] BETA_IMPLY : (member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010) => member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99))
% 0.20/0.39 -> [46] ~member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010)
% 0.20/0.39 -> [47] member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99)
% 0.20/0.39
% 0.20/0.39 [46] CLOSURE : ~member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010)
% 0.20/0.39
% 0.20/0.39 [47] CLOSURE : member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99)
% 0.20/0.39
% 0.20/0.39 [44] GAMMA_FORALL : ! [D7_7] : ((member(D7_7, skolem_C1010) => member(D7_7, skolem_B99)))
% 0.20/0.39 -> [48] (member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010) => member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99))
% 0.20/0.39
% 0.20/0.39 [48] BETA_IMPLY : (member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010) => member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99))
% 0.20/0.39 -> [49] ~member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010)
% 0.20/0.39 -> [50] member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99)
% 0.20/0.39
% 0.20/0.39 [50] CLOSURE : member(skolem_D77(skolem_C1010, skolem_B99), skolem_B99)
% 0.20/0.39
% 0.20/0.39 [49] CLOSURE : ~member(skolem_D77(skolem_C1010, skolem_B99), skolem_C1010)
% 0.20/0.39
% 0.20/0.39 % SZS output end Proof for theBenchmark.p
% 0.20/0.39 [0.042909s][1][Res] 67 goroutines created
% 0.20/0.39 ==== Result ====
% 0.20/0.39 [0.042947s][1][Res] VALID
% 0.20/0.39 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------