TSTP Solution File: SET063+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n028.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 04:15:08 EDT 2022
% Result : Theorem 0.11s 0.40s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Sep 3 02:03:38 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 [DMT] DMT loaded with preskolemization
% 0.11/0.34 [EQ] equality loaded.
% 0.11/0.34 [0.000052s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.34 Start search
% 0.11/0.34 nb_step : 1 - limit : 9
% 0.11/0.34 Launch Gotab with destructive = true
% 0.11/0.39 % SZS output start Proof for theBenchmark.p
% 0.11/0.40 [0] ALPHA_AND : (! [B3_3] : (subset(empty_set, B3_3)) & ! [B4_4] : (~member(B4_4, empty_set)) & ! [B8_8, C9_9] : ((=(B8_8, C9_9) <=> (subset(B8_8, C9_9) & subset(C9_9, B8_8)))) & ! [B10_10] : (subset(B10_10, B10_10)) & ~! [B13_13] : ((subset(B13_13, empty_set) => =(B13_13, empty_set))))
% 0.11/0.40 -> [1] ! [B3_3] : (subset(empty_set, B3_3)), ! [B4_4] : (~member(B4_4, empty_set)), ! [B8_8, C9_9] : ((=(B8_8, C9_9) <=> (subset(B8_8, C9_9) & subset(C9_9, B8_8)))), ! [B10_10] : (subset(B10_10, B10_10)), ~! [B13_13] : ((subset(B13_13, empty_set) => =(B13_13, empty_set)))
% 0.11/0.40
% 0.11/0.40 [1] DELTA_NOT_FORALL : ~! [B13_13] : ((subset(B13_13, empty_set) => =(B13_13, empty_set)))
% 0.11/0.40 -> [2] ~(subset(skolem_B1313, empty_set) => =(skolem_B1313, empty_set))
% 0.11/0.40
% 0.11/0.40 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B1313, empty_set) => =(skolem_B1313, empty_set))
% 0.11/0.40 -> [3] subset(skolem_B1313, empty_set), ~=(skolem_B1313, empty_set)
% 0.11/0.40
% 0.11/0.40 [3] Rewrite : subset(skolem_B1313, empty_set)
% 0.11/0.40 -> [4] ! [D7_7] : ((member(D7_7, skolem_B1313) => member(D7_7, empty_set)))
% 0.11/0.40
% 0.11/0.40 [4] GAMMA_FORALL : ! [B3_3] : (subset(empty_set, B3_3))
% 0.11/0.40 -> [5] subset(empty_set, B3_0_0)
% 0.11/0.40
% 0.11/0.40 [5] Rewrite : subset(empty_set, B3_0_0)
% 0.11/0.40 -> [6] ! [D7_7] : ((member(D7_7, empty_set) => member(D7_7, B3_0_0)))
% 0.11/0.40
% 0.11/0.40 [6] GAMMA_FORALL : ! [B4_4] : (~member(B4_4, empty_set))
% 0.11/0.40 -> [7] ~member(skolem_D77(empty_set, skolem_B1313), empty_set)
% 0.11/0.40
% 0.11/0.40 [7] GAMMA_FORALL : ! [B8_8, C9_9] : ((=(B8_8, C9_9) <=> (subset(B8_8, C9_9) & subset(C9_9, B8_8))))
% 0.11/0.40 -> [8] (=(empty_set, skolem_B1313) <=> (subset(empty_set, skolem_B1313) & subset(skolem_B1313, empty_set)))
% 0.11/0.40
% 0.11/0.40 [8] BETA_EQUIV : (=(empty_set, skolem_B1313) <=> (subset(empty_set, skolem_B1313) & subset(skolem_B1313, empty_set)))
% 0.11/0.40 -> [9] ~=(empty_set, skolem_B1313), ~(subset(empty_set, skolem_B1313) & subset(skolem_B1313, empty_set))
% 0.11/0.40 -> [10] =(empty_set, skolem_B1313), (subset(empty_set, skolem_B1313) & subset(skolem_B1313, empty_set))
% 0.11/0.40
% 0.11/0.40 [10] ALPHA_AND : (subset(empty_set, skolem_B1313) & subset(skolem_B1313, empty_set))
% 0.11/0.40 -> [11] subset(empty_set, skolem_B1313), subset(skolem_B1313, empty_set)
% 0.11/0.40
% 0.11/0.40 [11] CLOSURE : =
% 0.11/0.40
% 0.11/0.40 [9] BETA_NOT_AND : ~(subset(empty_set, skolem_B1313) & subset(skolem_B1313, empty_set))
% 0.11/0.40 -> [30] ~subset(empty_set, skolem_B1313)
% 0.11/0.40 -> [31] ~subset(skolem_B1313, empty_set)
% 0.11/0.40
% 0.11/0.40 [30] Rewrite : ~subset(empty_set, skolem_B1313)
% 0.11/0.40 -> [33] ~(member(skolem_D77(empty_set, skolem_B1313), empty_set) => member(skolem_D77(empty_set, skolem_B1313), skolem_B1313))
% 0.11/0.40
% 0.11/0.40 [33] ALPHA_NOT_IMPLY : ~(member(skolem_D77(empty_set, skolem_B1313), empty_set) => member(skolem_D77(empty_set, skolem_B1313), skolem_B1313))
% 0.11/0.40 -> [35] member(skolem_D77(empty_set, skolem_B1313), empty_set), ~member(skolem_D77(empty_set, skolem_B1313), skolem_B1313)
% 0.11/0.40
% 0.11/0.40 [35] CLOSURE : member(skolem_D77(empty_set, skolem_B1313), empty_set)
% 0.11/0.40
% 0.11/0.40 [31] Rewrite : ~subset(skolem_B1313, empty_set)
% 0.11/0.40 -> [32] ~(member(skolem_D77(skolem_B1313, empty_set), skolem_B1313) => member(skolem_D77(skolem_B1313, empty_set), empty_set))
% 0.11/0.40
% 0.11/0.40 [32] ALPHA_NOT_IMPLY : ~(member(skolem_D77(skolem_B1313, empty_set), skolem_B1313) => member(skolem_D77(skolem_B1313, empty_set), empty_set))
% 0.11/0.40 -> [34] member(skolem_D77(skolem_B1313, empty_set), skolem_B1313), ~member(skolem_D77(skolem_B1313, empty_set), empty_set)
% 0.11/0.40
% 0.11/0.40 [34] GAMMA_FORALL : ! [B10_10] : (subset(B10_10, B10_10))
% 0.11/0.40 -> [36] subset(B10_1_3, B10_1_3)
% 0.11/0.40
% 0.11/0.40 [36] Rewrite : subset(B10_1_3, B10_1_3)
% 0.11/0.40 -> [37] ! [D7_7] : ((member(D7_7, B10_1_3) => member(D7_7, B10_1_3)))
% 0.11/0.40
% 0.11/0.40 [37] GAMMA_FORALL : ! [D7_7] : ((member(D7_7, skolem_B1313) => member(D7_7, empty_set)))
% 0.11/0.40 -> [38] (member(skolem_D77(skolem_B1313, empty_set), skolem_B1313) => member(skolem_D77(skolem_B1313, empty_set), empty_set))
% 0.11/0.40
% 0.11/0.40 [38] BETA_IMPLY : (member(skolem_D77(skolem_B1313, empty_set), skolem_B1313) => member(skolem_D77(skolem_B1313, empty_set), empty_set))
% 0.11/0.40 -> [39] ~member(skolem_D77(skolem_B1313, empty_set), skolem_B1313)
% 0.11/0.40 -> [40] member(skolem_D77(skolem_B1313, empty_set), empty_set)
% 0.11/0.40
% 0.11/0.40 [39] CLOSURE : ~member(skolem_D77(skolem_B1313, empty_set), skolem_B1313)
% 0.11/0.40
% 0.11/0.40 [40] CLOSURE : member(skolem_D77(skolem_B1313, empty_set), empty_set)
% 0.11/0.40
% 0.11/0.40 % SZS output end Proof for theBenchmark.p
% 0.11/0.40 [0.059008s][1][Res] 113 goroutines created
% 0.11/0.40 ==== Result ====
% 0.11/0.40 [0.059043s][1][Res] VALID
% 0.11/0.40 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------