TSTP Solution File: SET200+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n012.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 04:15:48 EDT 2022
% Result : Theorem 0.71s 0.79s
% Output : Proof 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.16 % Command : goeland -dmt -presko -proof %s
% 0.13/0.37 % Computer : n012.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat Sep 3 03:20:49 EDT 2022
% 0.13/0.38 % CPUTime :
% 0.13/0.38 [DMT] DMT loaded with preskolemization
% 0.13/0.38 [EQ] equality loaded.
% 0.13/0.38 [0.000042s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.38 Start search
% 0.13/0.38 nb_step : 1 - limit : 8
% 0.13/0.38 Launch Gotab with destructive = true
% 0.71/0.78 % SZS output start Proof for theBenchmark.p
% 0.71/0.79 [0] ALPHA_AND : (! [B10_10, C11_11] : (=(union(B10_10, C11_11), union(C11_11, B10_10))) & ! [B12_12] : (subset(B12_12, B12_12)) & ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14))))) & ~! [B16_16, C17_17, D18_18, E19_19] : (((subset(B16_16, C17_17) & subset(D18_18, E19_19)) => subset(union(B16_16, D18_18), union(C17_17, E19_19)))))
% 0.71/0.79 -> [1] ! [B10_10, C11_11] : (=(union(B10_10, C11_11), union(C11_11, B10_10))), ! [B12_12] : (subset(B12_12, B12_12)), ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14))))), ~! [B16_16, C17_17, D18_18, E19_19] : (((subset(B16_16, C17_17) & subset(D18_18, E19_19)) => subset(union(B16_16, D18_18), union(C17_17, E19_19))))
% 0.71/0.79
% 0.71/0.79 [1] DELTA_NOT_FORALL : ~! [B16_16, C17_17, D18_18, E19_19] : (((subset(B16_16, C17_17) & subset(D18_18, E19_19)) => subset(union(B16_16, D18_18), union(C17_17, E19_19))))
% 0.71/0.79 -> [2] ~((subset(skolem_B1616, skolem_C1717) & subset(skolem_D1818, skolem_E1919)) => subset(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)))
% 0.71/0.79
% 0.71/0.79 [2] ALPHA_NOT_IMPLY : ~((subset(skolem_B1616, skolem_C1717) & subset(skolem_D1818, skolem_E1919)) => subset(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)))
% 0.71/0.79 -> [3] (subset(skolem_B1616, skolem_C1717) & subset(skolem_D1818, skolem_E1919)), ~subset(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919))
% 0.71/0.79
% 0.71/0.79 [3] Rewrite : ~subset(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919))
% 0.71/0.79 -> [4] ~(member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_B1616, skolem_D1818)) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_C1717, skolem_E1919)))
% 0.71/0.79
% 0.71/0.79 [4] ALPHA_AND : (subset(skolem_B1616, skolem_C1717) & subset(skolem_D1818, skolem_E1919))
% 0.71/0.79 -> [5] subset(skolem_B1616, skolem_C1717), subset(skolem_D1818, skolem_E1919)
% 0.71/0.79
% 0.71/0.79 [5] Rewrite : subset(skolem_B1616, skolem_C1717)
% 0.71/0.79 -> [6] ! [D9_9] : ((member(D9_9, skolem_B1616) => member(D9_9, skolem_C1717)))
% 0.71/0.79
% 0.71/0.79 [6] Rewrite : subset(skolem_D1818, skolem_E1919)
% 0.71/0.79 -> [7] ! [D9_9] : ((member(D9_9, skolem_D1818) => member(D9_9, skolem_E1919)))
% 0.71/0.79
% 0.71/0.79 [7] ALPHA_NOT_IMPLY : ~(member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_B1616, skolem_D1818)) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_C1717, skolem_E1919)))
% 0.71/0.79 -> [8] member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_B1616, skolem_D1818)), ~member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_C1717, skolem_E1919))
% 0.71/0.79
% 0.71/0.79 [8] Rewrite : member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_B1616, skolem_D1818))
% 0.71/0.79 -> [9] (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616) | member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_D1818))
% 0.71/0.79
% 0.71/0.79 [9] Rewrite : ~member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), union(skolem_C1717, skolem_E1919))
% 0.71/0.79 -> [10] ~(member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717) | member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_E1919))
% 0.71/0.79
% 0.71/0.79 [10] ALPHA_NOT_OR : ~(member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717) | member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_E1919))
% 0.71/0.79 -> [11] ~member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717), ~member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_E1919)
% 0.71/0.79
% 0.71/0.79 [11] BETA_OR : (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616) | member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_D1818))
% 0.71/0.79 -> [12] member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616)
% 0.71/0.79 -> [13] member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_D1818)
% 0.71/0.79
% 0.71/0.79 [12] GAMMA_FORALL : ! [B10_10, C11_11] : (=(union(B10_10, C11_11), union(C11_11, B10_10)))
% 0.71/0.79 -> [15] =(union(B10_1_0, C11_1_0), union(C11_1_0, B10_1_0))
% 0.71/0.79
% 0.71/0.79 [15] GAMMA_FORALL : ! [B12_12] : (subset(B12_12, B12_12))
% 0.71/0.79 -> [21] subset(B12_1_1, B12_1_1)
% 0.71/0.79
% 0.71/0.79 [21] Rewrite : subset(B12_1_1, B12_1_1)
% 0.71/0.79 -> [22] ! [D9_9] : ((member(D9_9, B12_1_1) => member(D9_9, B12_1_1)))
% 0.71/0.79
% 0.71/0.79 [22] GAMMA_FORALL : ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14)))))
% 0.71/0.79 -> [23] (=(C14_1_2, C14_1_2) <=> ! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2))))
% 0.71/0.79
% 0.71/0.79 [23] BETA_EQUIV : (=(C14_1_2, C14_1_2) <=> ! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2))))
% 0.71/0.79 -> [24] ~=(C14_1_2, C14_1_2), ~! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 0.71/0.79 -> [25] =(C14_1_2, C14_1_2), ! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 0.71/0.79
% 0.71/0.79 [24] DELTA_NOT_FORALL : ~! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 0.71/0.79 -> [26] ~(member(skolem_D1515(C14_1_2, C14_1_2), C14_1_2) <=> member(skolem_D1515(C14_1_2, C14_1_2), C14_1_2))
% 0.71/0.79
% 0.71/0.79 [26] CLOSURE : ~! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 0.71/0.79
% 0.71/0.79 [25] GAMMA_FORALL : ! [D9_9] : ((member(D9_9, skolem_B1616) => member(D9_9, skolem_C1717)))
% 0.71/0.79 -> [31] (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717))
% 0.71/0.79
% 0.71/0.79 [31] BETA_IMPLY : (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717))
% 0.71/0.79 -> [32] ~member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616)
% 0.71/0.79 -> [33] member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717)
% 0.71/0.79
% 0.71/0.79 [32] CLOSURE : =
% 0.71/0.79
% 0.71/0.79 [33] CLOSURE : =
% 0.71/0.79
% 0.71/0.79 [13] GAMMA_FORALL : ! [B10_10, C11_11] : (=(union(B10_10, C11_11), union(C11_11, B10_10)))
% 0.71/0.79 -> [14] =(union(B10_0_0, C11_0_0), union(C11_0_0, B10_0_0))
% 0.71/0.79
% 0.71/0.79 [14] GAMMA_FORALL : ! [B12_12] : (subset(B12_12, B12_12))
% 0.71/0.79 -> [16] subset(B12_0_1, B12_0_1)
% 0.71/0.79
% 0.71/0.79 [16] Rewrite : subset(B12_0_1, B12_0_1)
% 0.71/0.79 -> [17] ! [D9_9] : ((member(D9_9, B12_0_1) => member(D9_9, B12_0_1)))
% 0.71/0.79
% 0.71/0.79 [17] GAMMA_FORALL : ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14)))))
% 0.71/0.79 -> [18] (=(C14_0_2, C14_0_2) <=> ! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2))))
% 0.71/0.79
% 0.71/0.79 [18] BETA_EQUIV : (=(C14_0_2, C14_0_2) <=> ! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2))))
% 0.71/0.79 -> [19] ~=(C14_0_2, C14_0_2), ~! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 0.71/0.79 -> [20] =(C14_0_2, C14_0_2), ! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 0.71/0.79
% 0.71/0.79 [19] DELTA_NOT_FORALL : ~! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 0.71/0.79 -> [27] ~(member(skolem_D1515(C14_0_2, C14_0_2), C14_0_2) <=> member(skolem_D1515(C14_0_2, C14_0_2), C14_0_2))
% 0.71/0.79
% 0.71/0.79 [27] CLOSURE : ~! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 0.71/0.79
% 0.71/0.79 [20] GAMMA_FORALL : ! [D9_9] : ((member(D9_9, skolem_B1616) => member(D9_9, skolem_C1717)))
% 0.71/0.79 -> [28] (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717))
% 0.71/0.79
% 0.71/0.79 [28] BETA_IMPLY : (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717))
% 0.71/0.79 -> [29] ~member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_B1616)
% 0.71/0.79 -> [30] member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_C1717)
% 0.71/0.79
% 0.71/0.79 [30] CLOSURE : =
% 0.71/0.79
% 0.71/0.79 [29] GAMMA_FORALL : ! [D9_9] : ((member(D9_9, skolem_D1818) => member(D9_9, skolem_E1919)))
% 0.71/0.79 -> [34] (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_D1818) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_E1919))
% 0.71/0.79
% 0.71/0.79 [34] BETA_IMPLY : (member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_D1818) => member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_E1919))
% 0.71/0.79 -> [35] ~member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_D1818)
% 0.71/0.79 -> [36] member(skolem_D99(union(skolem_B1616, skolem_D1818), union(skolem_C1717, skolem_E1919)), skolem_E1919)
% 0.71/0.79
% 0.71/0.79 [35] CLOSURE : =
% 0.71/0.79
% 0.71/0.79 [36] CLOSURE : =
% 0.71/0.79
% 0.71/0.79 % SZS output end Proof for theBenchmark.p
% 0.71/0.79 [0.404481s][1][Res] 1076 goroutines created
% 0.71/0.79 ==== Result ====
% 0.71/0.79 [0.404528s][1][Res] VALID
% 0.71/0.79 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------