TSTP Solution File: SET117+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n021.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 04:15:29 EDT 2022
% Result : Theorem 0.81s 0.72s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.00/0.10 % Command : goeland -dmt -presko -proof %s
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Sep 3 02:33:29 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.31 [DMT] DMT loaded with preskolemization
% 0.15/0.31 [EQ] equality loaded.
% 0.15/0.31 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.15/0.32 Conjecture not found
% 0.15/0.32 Start search
% 0.15/0.32 nb_step : 1 - limit : 49
% 0.15/0.32 Launch Gotab with destructive = true
% 0.81/0.71 % SZS output start Proof for theBenchmark.p
% 0.81/0.72 [0] ALPHA_AND : ((! [X12_12] : (subclass(X12_12, universal_class)) & ! [X13_13, Y14_14] : ((=(X13_13, Y14_14) <=> (subclass(X13_13, Y14_14) & subclass(Y14_14, X13_13)))) & ! [X18_18, Y19_19] : (member(unordered_pair(X18_18, Y19_19), universal_class)) & ! [X20_20] : (=(singleton(X20_20), unordered_pair(X20_20, X20_20))) & ! [X21_21, Y22_22] : (=(ordered_pair(X21_21, Y22_22), unordered_pair(singleton(X21_21), unordered_pair(X21_21, singleton(Y22_22))))) & ! [X27_27, Y28_28] : (((member(X27_27, universal_class) & member(Y28_28, universal_class)) => (=(first(ordered_pair(X27_27, Y28_28)), X27_27) & =(second(ordered_pair(X27_27, Y28_28)), Y28_28)))) & ! [X29_29, Y30_30, Z31_31] : ((member(Z31_31, cross_product(X29_29, Y30_30)) => =(Z31_31, ordered_pair(first(Z31_31), second(Z31_31))))) & subclass(element_relation, cross_product(universal_class, universal_class)) & ! [X39_39, XR40_40, Y41_41] : (=(restrict(XR40_40, X39_39, Y41_41), intersection(XR40_40, cross_product(X39_39, Y41_41)))) & ! [X42_42] : (~member(X42_42, null_class)) & ! [X49_49] : (subclass(rotate(X49_49), cross_product(cross_product(universal_class, universal_class), universal_class))) & ! [X54_54] : (subclass(flip(X54_54), cross_product(cross_product(universal_class, universal_class), universal_class))) & ! [X58_58] : (=(successor(X58_58), union(X58_58, singleton(X58_58)))) & subclass(successor_relation, cross_product(universal_class, universal_class)) & ! [Y61_61] : (=(inverse(Y61_61), domain_of(flip(cross_product(Y61_61, universal_class))))) & ! [Z62_62] : (=(range_of(Z62_62), domain_of(inverse(Z62_62)))) & ! [X63_63, XR64_64] : (=(image(XR64_64, X63_63), range_of(restrict(XR64_64, X63_63, universal_class)))) & ? [X66_66] : (((member(X66_66, universal_class) & inductive(X66_66)) & ! [Y67_67] : ((inductive(Y67_67) => subclass(X66_66, Y67_67))))) & ! [X71_71] : ((member(X71_71, universal_class) => member(sum_class(X71_71), universal_class))) & ! [U74_74] : ((member(U74_74, universal_class) => member(power_class(U74_74), universal_class))) & ! [XR75_75, YR76_76] : (subclass(compose(YR76_76, XR75_75), cross_product(universal_class, universal_class))) & ! [X84_84, XF85_85] : (((member(X84_84, universal_class) & function(XF85_85)) => member(image(XF85_85, X84_84), universal_class))) & ! [X89_89] : ((~=(X89_89, null_class) => ? [U90_90] : (((member(U90_90, universal_class) & member(U90_90, X89_89)) & disjoint(U90_90, X89_89))))) & ! [XF91_91, Y92_92] : (=(apply(XF91_91, Y92_92), sum_class(image(XF91_91, singleton(Y92_92))))) & ? [XF93_93] : ((function(XF93_93) & ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(XF93_93, Y94_94), Y94_94))))))) & ~! [X95_95] : ((=(ordered_pair(first(X95_95), second(X95_95)), X95_95) => member(X95_95, universal_class))))
% 0.81/0.72 -> [1] (! [X12_12] : (subclass(X12_12, universal_class)) & ! [X13_13, Y14_14] : ((=(X13_13, Y14_14) <=> (subclass(X13_13, Y14_14) & subclass(Y14_14, X13_13)))) & ! [X18_18, Y19_19] : (member(unordered_pair(X18_18, Y19_19), universal_class)) & ! [X20_20] : (=(singleton(X20_20), unordered_pair(X20_20, X20_20))) & ! [X21_21, Y22_22] : (=(ordered_pair(X21_21, Y22_22), unordered_pair(singleton(X21_21), unordered_pair(X21_21, singleton(Y22_22))))) & ! [X27_27, Y28_28] : (((member(X27_27, universal_class) & member(Y28_28, universal_class)) => (=(first(ordered_pair(X27_27, Y28_28)), X27_27) & =(second(ordered_pair(X27_27, Y28_28)), Y28_28)))) & ! [X29_29, Y30_30, Z31_31] : ((member(Z31_31, cross_product(X29_29, Y30_30)) => =(Z31_31, ordered_pair(first(Z31_31), second(Z31_31))))) & subclass(element_relation, cross_product(universal_class, universal_class)) & ! [X39_39, XR40_40, Y41_41] : (=(restrict(XR40_40, X39_39, Y41_41), intersection(XR40_40, cross_product(X39_39, Y41_41)))) & ! [X42_42] : (~member(X42_42, null_class)) & ! [X49_49] : (subclass(rotate(X49_49), cross_product(cross_product(universal_class, universal_class), universal_class))) & ! [X54_54] : (subclass(flip(X54_54), cross_product(cross_product(universal_class, universal_class), universal_class))) & ! [X58_58] : (=(successor(X58_58), union(X58_58, singleton(X58_58)))) & subclass(successor_relation, cross_product(universal_class, universal_class)) & ! [Y61_61] : (=(inverse(Y61_61), domain_of(flip(cross_product(Y61_61, universal_class))))) & ! [Z62_62] : (=(range_of(Z62_62), domain_of(inverse(Z62_62)))) & ! [X63_63, XR64_64] : (=(image(XR64_64, X63_63), range_of(restrict(XR64_64, X63_63, universal_class)))) & ? [X66_66] : (((member(X66_66, universal_class) & inductive(X66_66)) & ! [Y67_67] : ((inductive(Y67_67) => subclass(X66_66, Y67_67))))) & ! [X71_71] : ((member(X71_71, universal_class) => member(sum_class(X71_71), universal_class))) & ! [U74_74] : ((member(U74_74, universal_class) => member(power_class(U74_74), universal_class))) & ! [XR75_75, YR76_76] : (subclass(compose(YR76_76, XR75_75), cross_product(universal_class, universal_class))) & ! [X84_84, XF85_85] : (((member(X84_84, universal_class) & function(XF85_85)) => member(image(XF85_85, X84_84), universal_class))) & ! [X89_89] : ((~=(X89_89, null_class) => ? [U90_90] : (((member(U90_90, universal_class) & member(U90_90, X89_89)) & disjoint(U90_90, X89_89))))) & ! [XF91_91, Y92_92] : (=(apply(XF91_91, Y92_92), sum_class(image(XF91_91, singleton(Y92_92))))) & ? [XF93_93] : ((function(XF93_93) & ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(XF93_93, Y94_94), Y94_94))))))), ~! [X95_95] : ((=(ordered_pair(first(X95_95), second(X95_95)), X95_95) => member(X95_95, universal_class)))
% 0.81/0.72
% 0.81/0.72 [1] ALPHA_AND : (! [X12_12] : (subclass(X12_12, universal_class)) & ! [X13_13, Y14_14] : ((=(X13_13, Y14_14) <=> (subclass(X13_13, Y14_14) & subclass(Y14_14, X13_13)))) & ! [X18_18, Y19_19] : (member(unordered_pair(X18_18, Y19_19), universal_class)) & ! [X20_20] : (=(singleton(X20_20), unordered_pair(X20_20, X20_20))) & ! [X21_21, Y22_22] : (=(ordered_pair(X21_21, Y22_22), unordered_pair(singleton(X21_21), unordered_pair(X21_21, singleton(Y22_22))))) & ! [X27_27, Y28_28] : (((member(X27_27, universal_class) & member(Y28_28, universal_class)) => (=(first(ordered_pair(X27_27, Y28_28)), X27_27) & =(second(ordered_pair(X27_27, Y28_28)), Y28_28)))) & ! [X29_29, Y30_30, Z31_31] : ((member(Z31_31, cross_product(X29_29, Y30_30)) => =(Z31_31, ordered_pair(first(Z31_31), second(Z31_31))))) & subclass(element_relation, cross_product(universal_class, universal_class)) & ! [X39_39, XR40_40, Y41_41] : (=(restrict(XR40_40, X39_39, Y41_41), intersection(XR40_40, cross_product(X39_39, Y41_41)))) & ! [X42_42] : (~member(X42_42, null_class)) & ! [X49_49] : (subclass(rotate(X49_49), cross_product(cross_product(universal_class, universal_class), universal_class))) & ! [X54_54] : (subclass(flip(X54_54), cross_product(cross_product(universal_class, universal_class), universal_class))) & ! [X58_58] : (=(successor(X58_58), union(X58_58, singleton(X58_58)))) & subclass(successor_relation, cross_product(universal_class, universal_class)) & ! [Y61_61] : (=(inverse(Y61_61), domain_of(flip(cross_product(Y61_61, universal_class))))) & ! [Z62_62] : (=(range_of(Z62_62), domain_of(inverse(Z62_62)))) & ! [X63_63, XR64_64] : (=(image(XR64_64, X63_63), range_of(restrict(XR64_64, X63_63, universal_class)))) & ? [X66_66] : (((member(X66_66, universal_class) & inductive(X66_66)) & ! [Y67_67] : ((inductive(Y67_67) => subclass(X66_66, Y67_67))))) & ! [X71_71] : ((member(X71_71, universal_class) => member(sum_class(X71_71), universal_class))) & ! [U74_74] : ((member(U74_74, universal_class) => member(power_class(U74_74), universal_class))) & ! [XR75_75, YR76_76] : (subclass(compose(YR76_76, XR75_75), cross_product(universal_class, universal_class))) & ! [X84_84, XF85_85] : (((member(X84_84, universal_class) & function(XF85_85)) => member(image(XF85_85, X84_84), universal_class))) & ! [X89_89] : ((~=(X89_89, null_class) => ? [U90_90] : (((member(U90_90, universal_class) & member(U90_90, X89_89)) & disjoint(U90_90, X89_89))))) & ! [XF91_91, Y92_92] : (=(apply(XF91_91, Y92_92), sum_class(image(XF91_91, singleton(Y92_92))))) & ? [XF93_93] : ((function(XF93_93) & ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(XF93_93, Y94_94), Y94_94)))))))
% 0.81/0.72 -> [2] ! [X12_12] : (subclass(X12_12, universal_class)), ! [X13_13, Y14_14] : ((=(X13_13, Y14_14) <=> (subclass(X13_13, Y14_14) & subclass(Y14_14, X13_13)))), ! [X18_18, Y19_19] : (member(unordered_pair(X18_18, Y19_19), universal_class)), ! [X20_20] : (=(singleton(X20_20), unordered_pair(X20_20, X20_20))), ! [X21_21, Y22_22] : (=(ordered_pair(X21_21, Y22_22), unordered_pair(singleton(X21_21), unordered_pair(X21_21, singleton(Y22_22))))), ! [X27_27, Y28_28] : (((member(X27_27, universal_class) & member(Y28_28, universal_class)) => (=(first(ordered_pair(X27_27, Y28_28)), X27_27) & =(second(ordered_pair(X27_27, Y28_28)), Y28_28)))), ! [X29_29, Y30_30, Z31_31] : ((member(Z31_31, cross_product(X29_29, Y30_30)) => =(Z31_31, ordered_pair(first(Z31_31), second(Z31_31))))), subclass(element_relation, cross_product(universal_class, universal_class)), ! [X39_39, XR40_40, Y41_41] : (=(restrict(XR40_40, X39_39, Y41_41), intersection(XR40_40, cross_product(X39_39, Y41_41)))), ! [X42_42] : (~member(X42_42, null_class)), ! [X49_49] : (subclass(rotate(X49_49), cross_product(cross_product(universal_class, universal_class), universal_class))), ! [X54_54] : (subclass(flip(X54_54), cross_product(cross_product(universal_class, universal_class), universal_class))), ! [X58_58] : (=(successor(X58_58), union(X58_58, singleton(X58_58)))), subclass(successor_relation, cross_product(universal_class, universal_class)), ! [Y61_61] : (=(inverse(Y61_61), domain_of(flip(cross_product(Y61_61, universal_class))))), ! [Z62_62] : (=(range_of(Z62_62), domain_of(inverse(Z62_62)))), ! [X63_63, XR64_64] : (=(image(XR64_64, X63_63), range_of(restrict(XR64_64, X63_63, universal_class)))), ? [X66_66] : (((member(X66_66, universal_class) & inductive(X66_66)) & ! [Y67_67] : ((inductive(Y67_67) => subclass(X66_66, Y67_67))))), ! [X71_71] : ((member(X71_71, universal_class) => member(sum_class(X71_71), universal_class))), ! [U74_74] : ((member(U74_74, universal_class) => member(power_class(U74_74), universal_class))), ! [XR75_75, YR76_76] : (subclass(compose(YR76_76, XR75_75), cross_product(universal_class, universal_class))), ! [X84_84, XF85_85] : (((member(X84_84, universal_class) & function(XF85_85)) => member(image(XF85_85, X84_84), universal_class))), ! [X89_89] : ((~=(X89_89, null_class) => ? [U90_90] : (((member(U90_90, universal_class) & member(U90_90, X89_89)) & disjoint(U90_90, X89_89))))), ! [XF91_91, Y92_92] : (=(apply(XF91_91, Y92_92), sum_class(image(XF91_91, singleton(Y92_92))))), ? [XF93_93] : ((function(XF93_93) & ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(XF93_93, Y94_94), Y94_94))))))
% 0.81/0.72
% 0.81/0.72 [2] Rewrite : subclass(element_relation, cross_product(universal_class, universal_class))
% 0.81/0.72 -> [3] ! [U11_11] : ((member(U11_11, element_relation) => member(U11_11, cross_product(universal_class, universal_class))))
% 0.81/0.72
% 0.81/0.72 [3] Rewrite : subclass(successor_relation, cross_product(universal_class, universal_class))
% 0.81/0.72 -> [4] ! [U11_11] : ((member(U11_11, successor_relation) => member(U11_11, cross_product(universal_class, universal_class))))
% 0.81/0.72
% 0.81/0.72 [4] DELTA_NOT_FORALL : ~! [X95_95] : ((=(ordered_pair(first(X95_95), second(X95_95)), X95_95) => member(X95_95, universal_class)))
% 0.81/0.72 -> [5] ~(=(ordered_pair(first(skolem_X9595), second(skolem_X9595)), skolem_X9595) => member(skolem_X9595, universal_class))
% 0.81/0.72
% 0.81/0.72 [5] ALPHA_NOT_IMPLY : ~(=(ordered_pair(first(skolem_X9595), second(skolem_X9595)), skolem_X9595) => member(skolem_X9595, universal_class))
% 0.81/0.72 -> [6] =(ordered_pair(first(skolem_X9595), second(skolem_X9595)), skolem_X9595), ~member(skolem_X9595, universal_class)
% 0.81/0.72
% 0.81/0.72 [6] DELTA_EXISTS : ? [X66_66] : (((member(X66_66, universal_class) & inductive(X66_66)) & ! [Y67_67] : ((inductive(Y67_67) => subclass(X66_66, Y67_67)))))
% 0.81/0.72 -> [7] ((member(skolem_X6666, universal_class) & inductive(skolem_X6666)) & ! [Y67_67] : ((inductive(Y67_67) => subclass(skolem_X6666, Y67_67))))
% 0.81/0.72
% 0.81/0.72 [7] ALPHA_AND : ((member(skolem_X6666, universal_class) & inductive(skolem_X6666)) & ! [Y67_67] : ((inductive(Y67_67) => subclass(skolem_X6666, Y67_67))))
% 0.81/0.72 -> [8] (member(skolem_X6666, universal_class) & inductive(skolem_X6666)), ! [Y67_67] : ((inductive(Y67_67) => subclass(skolem_X6666, Y67_67)))
% 0.81/0.72
% 0.81/0.72 [8] ALPHA_AND : (member(skolem_X6666, universal_class) & inductive(skolem_X6666))
% 0.81/0.72 -> [9] member(skolem_X6666, universal_class), inductive(skolem_X6666)
% 0.81/0.72
% 0.81/0.72 [9] Rewrite : inductive(skolem_X6666)
% 0.81/0.72 -> [10] (member(null_class, skolem_X6666) & subclass(image(successor_relation, skolem_X6666), skolem_X6666))
% 0.81/0.72
% 0.81/0.72 [10] ALPHA_AND : (member(null_class, skolem_X6666) & subclass(image(successor_relation, skolem_X6666), skolem_X6666))
% 0.81/0.72 -> [11] member(null_class, skolem_X6666), subclass(image(successor_relation, skolem_X6666), skolem_X6666)
% 0.81/0.72
% 0.81/0.72 [11] Rewrite : subclass(image(successor_relation, skolem_X6666), skolem_X6666)
% 0.81/0.72 -> [12] ! [U11_11] : ((member(U11_11, image(successor_relation, skolem_X6666)) => member(U11_11, skolem_X6666)))
% 0.81/0.72
% 0.81/0.72 [12] DELTA_EXISTS : ? [XF93_93] : ((function(XF93_93) & ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(XF93_93, Y94_94), Y94_94))))))
% 0.81/0.72 -> [13] (function(skolem_XF9393) & ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(skolem_XF9393, Y94_94), Y94_94)))))
% 0.81/0.72
% 0.81/0.72 [13] ALPHA_AND : (function(skolem_XF9393) & ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(skolem_XF9393, Y94_94), Y94_94)))))
% 0.81/0.72 -> [14] function(skolem_XF9393), ! [Y94_94] : ((member(Y94_94, universal_class) => (=(Y94_94, null_class) | member(apply(skolem_XF9393, Y94_94), Y94_94))))
% 0.81/0.72
% 0.81/0.72 [14] Rewrite : function(skolem_XF9393)
% 0.81/0.72 -> [15] (subclass(skolem_XF9393, cross_product(universal_class, universal_class)) & subclass(compose(skolem_XF9393, inverse(skolem_XF9393)), identity_relation))
% 0.81/0.72
% 0.81/0.72 [15] ALPHA_AND : (subclass(skolem_XF9393, cross_product(universal_class, universal_class)) & subclass(compose(skolem_XF9393, inverse(skolem_XF9393)), identity_relation))
% 0.81/0.72 -> [16] subclass(skolem_XF9393, cross_product(universal_class, universal_class)), subclass(compose(skolem_XF9393, inverse(skolem_XF9393)), identity_relation)
% 0.81/0.72
% 0.81/0.72 [16] Rewrite : subclass(skolem_XF9393, cross_product(universal_class, universal_class))
% 0.81/0.72 -> [17] ! [U11_11] : ((member(U11_11, skolem_XF9393) => member(U11_11, cross_product(universal_class, universal_class))))
% 0.81/0.72
% 0.81/0.72 [17] Rewrite : subclass(compose(skolem_XF9393, inverse(skolem_XF9393)), identity_relation)
% 0.81/0.72 -> [18] ! [U11_11] : ((member(U11_11, compose(skolem_XF9393, inverse(skolem_XF9393))) => member(U11_11, identity_relation)))
% 0.81/0.72
% 0.81/0.72 [18] GAMMA_FORALL : ! [X12_12] : (subclass(X12_12, universal_class))
% 0.81/0.72 -> [19] subclass(X12_0_0, universal_class)
% 0.81/0.72
% 0.81/0.72 [19] Rewrite : subclass(X12_0_0, universal_class)
% 0.81/0.72 -> [20] ! [U11_11] : ((member(U11_11, X12_0_0) => member(U11_11, universal_class)))
% 0.81/0.72
% 0.81/0.72 [20] GAMMA_FORALL : ! [X13_13, Y14_14] : ((=(X13_13, Y14_14) <=> (subclass(X13_13, Y14_14) & subclass(Y14_14, X13_13))))
% 0.81/0.72 -> [21] (=(Y14_0_1, Y14_0_1) <=> (subclass(Y14_0_1, Y14_0_1) & subclass(Y14_0_1, Y14_0_1)))
% 0.81/0.72
% 0.81/0.72 [21] BETA_EQUIV : (=(Y14_0_1, Y14_0_1) <=> (subclass(Y14_0_1, Y14_0_1) & subclass(Y14_0_1, Y14_0_1)))
% 0.81/0.72 -> [22] ~=(Y14_0_1, Y14_0_1), ~(subclass(Y14_0_1, Y14_0_1) & subclass(Y14_0_1, Y14_0_1))
% 0.81/0.72 -> [23] =(Y14_0_1, Y14_0_1), (subclass(Y14_0_1, Y14_0_1) & subclass(Y14_0_1, Y14_0_1))
% 0.81/0.72
% 0.81/0.72 [22] CLOSURE : =
% 0.81/0.72
% 0.81/0.72 [24] Rewrite : subclass(Y14_0_1, Y14_0_1)
% 0.81/0.72 -> [25] ! [U11_11] : ((member(U11_11, Y14_0_1) => member(U11_11, Y14_0_1)))
% 0.81/0.72
% 0.81/0.72 [25] GAMMA_FORALL : ! [X18_18, Y19_19] : (member(unordered_pair(X18_18, Y19_19), universal_class))
% 0.81/0.72 -> [26] member(unordered_pair(X18_0_2, Y19_0_2), universal_class)
% 0.81/0.72
% 0.81/0.72 [26] GAMMA_FORALL : ! [X20_20] : (=(singleton(X20_20), unordered_pair(X20_20, X20_20)))
% 0.81/0.72 -> [27] =(singleton(X20_0_3), unordered_pair(X20_0_3, X20_0_3))
% 0.81/0.72
% 0.81/0.72 [27] GAMMA_FORALL : ! [X21_21, Y22_22] : (=(ordered_pair(X21_21, Y22_22), unordered_pair(singleton(X21_21), unordered_pair(X21_21, singleton(Y22_22)))))
% 0.81/0.72 -> [28] =(ordered_pair(X21_0_4, Y22_0_4), unordered_pair(singleton(X21_0_4), unordered_pair(X21_0_4, singleton(Y22_0_4))))
% 0.81/0.72
% 0.81/0.72 [28] CLOSURE : =
% 0.81/0.72
% 0.81/0.72 % SZS output end Proof for theBenchmark.p
% 0.81/0.72 [0.403192s][1][Res] 1550 goroutines created
% 0.81/0.72 ==== Result ====
% 0.81/0.72 [0.403242s][1][Res] VALID
% 0.81/0.72 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------