TSTP Solution File: SET009+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n008.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 04:14:40 EDT 2022
% Result : Theorem 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET009+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n008.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 01:04:40 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 5
% 0.12/0.34 Launch Gotab with destructive = true
% 0.18/0.36 % SZS output start Proof for theBenchmark.p
% 0.18/0.36 [0] ALPHA_AND : (! [B9_9] : (subset(B9_9, B9_9)) & ~! [B10_10, C11_11, D12_12] : ((subset(B10_10, C11_11) => subset(difference(D12_12, C11_11), difference(D12_12, B10_10)))))
% 0.18/0.36 -> [1] ! [B9_9] : (subset(B9_9, B9_9)), ~! [B10_10, C11_11, D12_12] : ((subset(B10_10, C11_11) => subset(difference(D12_12, C11_11), difference(D12_12, B10_10))))
% 0.18/0.36
% 0.18/0.36 [1] DELTA_NOT_FORALL : ~! [B10_10, C11_11, D12_12] : ((subset(B10_10, C11_11) => subset(difference(D12_12, C11_11), difference(D12_12, B10_10))))
% 0.18/0.36 -> [2] ~(subset(skolem_B1010, skolem_C1111) => subset(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)))
% 0.18/0.36
% 0.18/0.36 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B1010, skolem_C1111) => subset(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)))
% 0.18/0.36 -> [3] subset(skolem_B1010, skolem_C1111), ~subset(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010))
% 0.18/0.36
% 0.18/0.36 [3] Rewrite : subset(skolem_B1010, skolem_C1111)
% 0.18/0.36 -> [4] ! [D8_8] : ((member(D8_8, skolem_B1010) => member(D8_8, skolem_C1111)))
% 0.18/0.36
% 0.18/0.36 [4] Rewrite : ~subset(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010))
% 0.18/0.36 -> [5] ~(member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_C1111)) => member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_B1010)))
% 0.18/0.36
% 0.18/0.36 [5] ALPHA_NOT_IMPLY : ~(member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_C1111)) => member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_B1010)))
% 0.18/0.36 -> [6] member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_C1111)), ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_B1010))
% 0.18/0.36
% 0.18/0.36 [6] Rewrite : member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_C1111))
% 0.18/0.36 -> [7] (member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_D1212) & ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_C1111))
% 0.18/0.36
% 0.18/0.36 [7] Rewrite : ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), difference(skolem_D1212, skolem_B1010))
% 0.18/0.36 -> [8] ~(member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_D1212) & ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010))
% 0.18/0.36
% 0.18/0.36 [8] ALPHA_AND : (member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_D1212) & ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_C1111))
% 0.18/0.36 -> [9] member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_D1212), ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_C1111)
% 0.18/0.37
% 0.18/0.37 [9] BETA_NOT_AND : ~(member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_D1212) & ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010))
% 0.18/0.37 -> [10] ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_D1212)
% 0.18/0.37 -> [11] ~~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010)
% 0.18/0.37
% 0.18/0.37 [10] CLOSURE : ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_D1212)
% 0.18/0.37
% 0.18/0.37 [11] ALPHA_NOT_NOT : ~~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010)
% 0.18/0.37 -> [12] member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010)
% 0.18/0.37
% 0.18/0.37 [12] GAMMA_FORALL : ! [B9_9] : (subset(B9_9, B9_9))
% 0.18/0.37 -> [13] subset(B9_0_0, B9_0_0)
% 0.18/0.37
% 0.18/0.37 [13] Rewrite : subset(B9_0_0, B9_0_0)
% 0.18/0.37 -> [14] ! [D8_8] : ((member(D8_8, B9_0_0) => member(D8_8, B9_0_0)))
% 0.18/0.37
% 0.18/0.37 [14] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, skolem_B1010) => member(D8_8, skolem_C1111)))
% 0.18/0.37 -> [15] (member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010) => member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_C1111))
% 0.18/0.37
% 0.18/0.37 [15] BETA_IMPLY : (member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010) => member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_C1111))
% 0.18/0.37 -> [16] ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010)
% 0.18/0.37 -> [17] member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_C1111)
% 0.18/0.37
% 0.18/0.37 [16] CLOSURE : ~member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_B1010)
% 0.18/0.37
% 0.18/0.37 [17] CLOSURE : member(skolem_D88(difference(skolem_D1212, skolem_C1111), difference(skolem_D1212, skolem_B1010)), skolem_C1111)
% 0.18/0.37
% 0.18/0.37 % SZS output end Proof for theBenchmark.p
% 0.18/0.37 [0.027721s][1][Res] 30 goroutines created
% 0.18/0.37 ==== Result ====
% 0.18/0.37 [0.027758s][1][Res] VALID
% 0.18/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------