TSTP Solution File: SET175+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n007.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 04:15:42 EDT 2022
% Result : Theorem 7.14s 1.38s
% Output : Proof 7.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n007.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 02:54:48 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 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 11
% 0.12/0.34 Launch Gotab with destructive = true
% 7.14/1.38 % SZS output start Proof for theBenchmark.p
% 7.14/1.38 [0] ALPHA_AND : (! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9)))) & ! [B11_11, C12_12] : (=(union(B11_11, C12_12), union(C12_12, B11_11))) & ! [B13_13, C14_14] : (=(intersection(B13_13, C14_14), intersection(C14_14, B13_13))) & ! [B18_18] : (subset(B18_18, B18_18)) & ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20))))) & ~! [B22_22, C23_23] : (=(union(B22_22, intersection(B22_22, C23_23)), B22_22)))
% 7.14/1.38 -> [1] ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9)))), ! [B11_11, C12_12] : (=(union(B11_11, C12_12), union(C12_12, B11_11))), ! [B13_13, C14_14] : (=(intersection(B13_13, C14_14), intersection(C14_14, B13_13))), ! [B18_18] : (subset(B18_18, B18_18)), ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20))))), ~! [B22_22, C23_23] : (=(union(B22_22, intersection(B22_22, C23_23)), B22_22))
% 7.14/1.38
% 7.14/1.38 [1] DELTA_NOT_FORALL : ~! [B22_22, C23_23] : (=(union(B22_22, intersection(B22_22, C23_23)), B22_22))
% 7.14/1.38 -> [2] ~=(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222)
% 7.14/1.38
% 7.14/1.38 [2] GAMMA_FORALL : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 7.14/1.38 -> [3] (=(C10_0_0, C10_0_0) <=> (subset(C10_0_0, C10_0_0) & subset(C10_0_0, C10_0_0)))
% 7.14/1.38
% 7.14/1.38 [3] BETA_EQUIV : (=(C10_0_0, C10_0_0) <=> (subset(C10_0_0, C10_0_0) & subset(C10_0_0, C10_0_0)))
% 7.14/1.38 -> [4] ~=(C10_0_0, C10_0_0), ~(subset(C10_0_0, C10_0_0) & subset(C10_0_0, C10_0_0))
% 7.14/1.38 -> [5] =(C10_0_0, C10_0_0), (subset(C10_0_0, C10_0_0) & subset(C10_0_0, C10_0_0))
% 7.14/1.38
% 7.14/1.38 [4] CLOSURE : ~=(C10_0_0, C10_0_0)
% 7.14/1.38
% 7.14/1.38 [6] Rewrite : subset(C10_0_0, C10_0_0)
% 7.14/1.38 -> [7] ! [D17_17] : ((member(D17_17, C10_0_0) => member(D17_17, C10_0_0)))
% 7.14/1.38
% 7.14/1.38 [7] GAMMA_FORALL : ! [B11_11, C12_12] : (=(union(B11_11, C12_12), union(C12_12, B11_11)))
% 7.14/1.38 -> [8] =(union(B11_0_1, C12_0_1), union(C12_0_1, B11_0_1))
% 7.14/1.38
% 7.14/1.38 [8] GAMMA_FORALL : ! [B13_13, C14_14] : (=(intersection(B13_13, C14_14), intersection(C14_14, B13_13)))
% 7.14/1.38 -> [9] =(intersection(B13_0_2, C14_0_2), intersection(C14_0_2, B13_0_2))
% 7.14/1.38
% 7.14/1.38 [9] GAMMA_FORALL : ! [B18_18] : (subset(B18_18, B18_18))
% 7.14/1.38 -> [10] subset(B18_0_3, B18_0_3)
% 7.14/1.38
% 7.14/1.38 [10] Rewrite : subset(B18_0_3, B18_0_3)
% 7.14/1.38 -> [11] ! [D17_17] : ((member(D17_17, B18_0_3) => member(D17_17, B18_0_3)))
% 7.14/1.38
% 7.14/1.38 [11] GAMMA_FORALL : ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20)))))
% 7.14/1.38 -> [12] (=(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222) <=> ! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_B2222, skolem_C2323))) <=> member(D21_21, skolem_B2222))))
% 7.14/1.38
% 7.14/1.38 [12] BETA_EQUIV : (=(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222) <=> ! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_B2222, skolem_C2323))) <=> member(D21_21, skolem_B2222))))
% 7.14/1.38 -> [13] ~=(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), ~! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_B2222, skolem_C2323))) <=> member(D21_21, skolem_B2222)))
% 7.14/1.38 -> [14] =(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), ! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_B2222, skolem_C2323))) <=> member(D21_21, skolem_B2222)))
% 7.14/1.38
% 7.14/1.38 [14] CLOSURE : =
% 7.14/1.38
% 7.14/1.38 [15] BETA_NOT_EQUIV : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), union(skolem_B2222, intersection(skolem_B2222, skolem_C2323))) <=> member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222))
% 7.14/1.38 -> [16] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), union(skolem_B2222, intersection(skolem_B2222, skolem_C2323))), member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222)
% 7.14/1.38 -> [17] member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), union(skolem_B2222, intersection(skolem_B2222, skolem_C2323))), ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222)
% 7.14/1.38
% 7.14/1.38 [16] Rewrite : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)))
% 7.14/1.38 -> [18] ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), intersection(skolem_B2222, skolem_C2323)))
% 7.14/1.38
% 7.14/1.38 [18] ALPHA_NOT_OR : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), intersection(skolem_B2222, skolem_C2323)))
% 7.14/1.38 -> [19] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222), ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), intersection(skolem_B2222, skolem_C2323))
% 7.14/1.38
% 7.14/1.38 [19] CLOSURE : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222)
% 7.14/1.38
% 7.14/1.38 [17] Rewrite : member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)))
% 7.14/1.38 -> [20] (member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), intersection(skolem_B2222, skolem_C2323)))
% 7.14/1.38
% 7.14/1.38 [20] BETA_OR : (member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), intersection(skolem_B2222, skolem_C2323)))
% 7.14/1.38 -> [21] member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222)
% 7.14/1.38 -> [22] member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), intersection(skolem_B2222, skolem_C2323))
% 7.14/1.38
% 7.14/1.38 [21] CLOSURE : member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222)
% 7.14/1.38
% 7.14/1.38 [22] Rewrite : member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), intersection(skolem_B2222, skolem_C2323))
% 7.14/1.38 -> [23] (member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_C2323))
% 7.14/1.38
% 7.14/1.38 [23] ALPHA_AND : (member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_C2323))
% 7.14/1.38 -> [24] member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222), member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_C2323)
% 7.14/1.38
% 7.14/1.38 [24] CLOSURE : member(skolem_D2121(union(skolem_B2222, intersection(skolem_B2222, skolem_C2323)), skolem_B2222), skolem_B2222)
% 7.14/1.38
% 7.14/1.38 % SZS output end Proof for theBenchmark.p
% 7.14/1.38 [1.038460s][1][Res] 7514 goroutines created
% 7.14/1.38 ==== Result ====
% 7.14/1.38 [1.038478s][1][Res] VALID
% 7.14/1.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------