TSTP Solution File: ITP178^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP178^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %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 : 600s
% DateTime : Sun Jul 17 00:29:24 EDT 2022
% Result : Theorem 5.43s 5.66s
% Output : Proof 5.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP178^1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n028.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 : 600
% 0.12/0.33 % DateTime : Fri Jun 3 22:19:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.43/5.66 % SZS status Theorem
% 5.43/5.66 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 5.43/5.66 % Inferences: 15
% 5.43/5.66 % SZS output start Proof
% 5.43/5.66 thf(ty_set_Pr9961929at_nat, type, set_Pr9961929at_nat : $tType).
% 5.43/5.66 thf(ty_produc1478835367term_b, type, produc1478835367term_b : $tType).
% 5.43/5.66 thf(ty_set_nat, type, set_nat : $tType).
% 5.43/5.66 thf(ty_set_Pr1986765409at_nat, type, set_Pr1986765409at_nat : $tType).
% 5.43/5.66 thf(ty_labeled_graph_b_nat, type, labeled_graph_b_nat : $tType).
% 5.43/5.66 thf(ty_produc1235635379_b_nat, type, produc1235635379_b_nat : $tType).
% 5.43/5.66 thf(ty_allegorical_term_b, type, allegorical_term_b : $tType).
% 5.43/5.66 thf(ty_finite_finite_nat, type, finite_finite_nat : (set_nat>$o)).
% 5.43/5.66 thf(ty_restrict_b_nat, type, restrict_b_nat : (labeled_graph_b_nat>labeled_graph_b_nat)).
% 5.43/5.66 thf(ty_v, type, v : allegorical_term_b).
% 5.43/5.66 thf(ty_produc951298923_b_nat, type, produc951298923_b_nat : (labeled_graph_b_nat>labeled_graph_b_nat>produc1235635379_b_nat)).
% 5.43/5.66 thf(ty_produc1542243159_b_nat, type, produc1542243159_b_nat : (produc1235635379_b_nat>labeled_graph_b_nat)).
% 5.43/5.66 thf(ty_finite1987068434at_nat, type, finite1987068434at_nat : (set_Pr9961929at_nat>$o)).
% 5.43/5.66 thf(ty_u, type, u : allegorical_term_b).
% 5.43/5.66 thf(ty_labeled_edges_b_nat, type, labeled_edges_b_nat : (labeled_graph_b_nat>set_Pr9961929at_nat)).
% 5.43/5.66 thf(ty_produc194497945_b_nat, type, produc194497945_b_nat : (produc1235635379_b_nat>labeled_graph_b_nat)).
% 5.43/5.66 thf(ty_produc1223098053term_b, type, produc1223098053term_b : (produc1478835367term_b>allegorical_term_b)).
% 5.43/5.66 thf(ty_allegorical_A_Int_b, type, allegorical_A_Int_b : (allegorical_term_b>allegorical_term_b>allegorical_term_b)).
% 5.43/5.66 thf(ty_standa879863266rule_b, type, standa879863266rule_b : produc1235635379_b_nat).
% 5.43/5.66 thf(ty_produc854192515term_b, type, produc854192515term_b : (produc1478835367term_b>allegorical_term_b)).
% 5.43/5.66 thf(ty_labele460410879_b_nat, type, labele460410879_b_nat : (labeled_graph_b_nat>set_nat)).
% 5.43/5.66 thf(ty_translation_b, type, translation_b : (allegorical_term_b>labeled_graph_b_nat)).
% 5.43/5.66 thf(ty_id_on_nat, type, id_on_nat : (set_nat>set_Pr1986765409at_nat)).
% 5.43/5.66 thf(ty_produc1990145943term_b, type, produc1990145943term_b : (allegorical_term_b>allegorical_term_b>produc1478835367term_b)).
% 5.43/5.66 thf(ty_graph_529870330at_nat, type, graph_529870330at_nat : (labeled_graph_b_nat>labeled_graph_b_nat>set_Pr1986765409at_nat>$o)).
% 5.43/5.66 thf(conj_0,conjecture,(~(((~(((~(((((graph_529870330at_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))) => (~(((produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))) => (~((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))) => (~((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))))))))))).
% 5.43/5.66 thf(h0,negated_conjecture,((~(((~(((((graph_529870330at_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))) => (~(((produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))) => (~((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))) => (~((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))),inference(assume_negation,[status(cth)],[conj_0])).
% 5.43/5.66 thf(h1,assumption,((~(((((graph_529870330at_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))) => (~(((produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))) => (~((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h2,assumption,(~((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h3,assumption,((((graph_529870330at_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))) => (~(((produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h4,assumption,(~((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h5,assumption,(~((((graph_529870330at_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h6,assumption,(~(((produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h7,assumption,(~(((~(((((graph_529870330at_nat @ (produc1542243159_b_nat @ standa879863266rule_b)) @ (produc194497945_b_nat @ standa879863266rule_b)) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ standa879863266rule_b)))) => (~(((produc194497945_b_nat @ standa879863266rule_b) = (restrict_b_nat @ (produc194497945_b_nat @ standa879863266rule_b)))))))) => (~((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ standa879863266rule_b)))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h8,assumption,(finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ standa879863266rule_b))),introduced(assumption,[])).
% 5.43/5.66 thf(h9,assumption,(~(((((graph_529870330at_nat @ (produc1542243159_b_nat @ standa879863266rule_b)) @ (produc194497945_b_nat @ standa879863266rule_b)) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ standa879863266rule_b)))) => (~(((produc194497945_b_nat @ standa879863266rule_b) = (restrict_b_nat @ (produc194497945_b_nat @ standa879863266rule_b)))))))),introduced(assumption,[])).
% 5.43/5.66 thf(h10,assumption,(finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ standa879863266rule_b))),introduced(assumption,[])).
% 5.43/5.66 thf(h11,assumption,(((graph_529870330at_nat @ (produc1542243159_b_nat @ standa879863266rule_b)) @ (produc194497945_b_nat @ standa879863266rule_b)) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ standa879863266rule_b)))),introduced(assumption,[])).
% 5.43/5.66 thf(h12,assumption,((produc194497945_b_nat @ standa879863266rule_b) = (restrict_b_nat @ (produc194497945_b_nat @ standa879863266rule_b))),introduced(assumption,[])).
% 5.43/5.66 thf(pax27, axiom, (p27=>![X160:labeled_graph_b_nat, X161:labeled_graph_b_nat]:(fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ X160 @ X161))=(X160)), file('<stdin>', pax27)).
% 5.43/5.66 thf(pax32, axiom, (p32=>![X151:labeled_graph_b_nat, X152:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X151 @ X152))=(X152)), file('<stdin>', pax32)).
% 5.43/5.66 thf(pax28, axiom, (p28=>![X158:allegorical_term_b, X159:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X158 @ X159))=(X158)), file('<stdin>', pax28)).
% 5.43/5.66 thf(pax31, axiom, (p31=>![X153:allegorical_term_b, X154:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X153 @ X154))=(X154)), file('<stdin>', pax31)).
% 5.43/5.66 thf(pax1, axiom, (p1=>![X185:allegorical_term_b, X186:allegorical_term_b]:~((~((~((fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X185) @ (ftranslation_b @ (fallegorical_A_Int_b @ X185 @ X186)))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X185) @ (ftranslation_b @ (fallegorical_A_Int_b @ X185 @ X186)))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X185) @ (ftranslation_b @ (fallegorical_A_Int_b @ X185 @ X186))))))=>~((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X185) @ (ftranslation_b @ (fallegorical_A_Int_b @ X185 @ X186))))=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X185) @ (ftranslation_b @ (fallegorical_A_Int_b @ X185 @ X186))))))))=>~(ffinite_finite_nat @ (flabele460410879_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X185) @ (ftranslation_b @ (fallegorical_A_Int_b @ X185 @ X186))))))))=>~(ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X185) @ (ftranslation_b @ (fallegorical_A_Int_b @ X185 @ X186))))))))), file('<stdin>', pax1)).
% 5.43/5.66 thf(ax109, axiom, p27, file('<stdin>', ax109)).
% 5.43/5.66 thf(ax104, axiom, p32, file('<stdin>', ax104)).
% 5.43/5.66 thf(nax131, axiom, (p131<=fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv))))))))), file('<stdin>', nax131)).
% 5.43/5.66 thf(ax108, axiom, p28, file('<stdin>', ax108)).
% 5.43/5.66 thf(ax105, axiom, p31, file('<stdin>', ax105)).
% 5.43/5.66 thf(ax135, axiom, p1, file('<stdin>', ax135)).
% 5.43/5.66 thf(ax5, axiom, ~(p131), file('<stdin>', ax5)).
% 5.43/5.66 thf(c_0_12, plain, ![X665:labeled_graph_b_nat, X666:labeled_graph_b_nat]:(~p27|(fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ X665 @ X666))=(X665)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax27])])])).
% 5.43/5.66 thf(c_0_13, plain, ![X641:labeled_graph_b_nat, X642:labeled_graph_b_nat]:(~p32|(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X641 @ X642))=(X642)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax32])])])).
% 5.43/5.66 thf(c_0_14, plain, ![X661:allegorical_term_b, X662:allegorical_term_b]:(~p28|(fproduc854192515term_b @ (fproduc1990145943term_b @ X661 @ X662))=(X661)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax28])])])).
% 5.43/5.66 thf(c_0_15, plain, ![X645:allegorical_term_b, X646:allegorical_term_b]:(~p31|(fproduc1223098053term_b @ (fproduc1990145943term_b @ X645 @ X646))=(X646)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax31])])])).
% 5.43/5.66 thf(c_0_16, plain, ![X717:allegorical_term_b, X718:allegorical_term_b]:((((fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X717) @ (ftranslation_b @ (fallegorical_A_Int_b @ X717 @ X718)))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X717) @ (ftranslation_b @ (fallegorical_A_Int_b @ X717 @ X718)))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X717) @ (ftranslation_b @ (fallegorical_A_Int_b @ X717 @ X718))))))|~p1)&((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X717) @ (ftranslation_b @ (fallegorical_A_Int_b @ X717 @ X718))))=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X717) @ (ftranslation_b @ (fallegorical_A_Int_b @ X717 @ X718)))))|~p1))&(ffinite_finite_nat @ (flabele460410879_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X717) @ (ftranslation_b @ (fallegorical_A_Int_b @ X717 @ X718)))))|~p1))&(ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X717) @ (ftranslation_b @ (fallegorical_A_Int_b @ X717 @ X718)))))|~p1)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1])])])])])).
% 5.43/5.66 thf(c_0_17, plain, ![X7:labeled_graph_b_nat, X1:labeled_graph_b_nat]:((fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ X1 @ X7))=(X1)|~p27), inference(split_conjunct,[status(thm)],[c_0_12])).
% 5.43/5.66 thf(c_0_18, plain, p27, inference(split_conjunct,[status(thm)],[ax109])).
% 5.43/5.66 thf(c_0_19, plain, ![X1:labeled_graph_b_nat, X7:labeled_graph_b_nat]:((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X1 @ X7))=(X7)|~p32), inference(split_conjunct,[status(thm)],[c_0_13])).
% 5.43/5.66 thf(c_0_20, plain, p32, inference(split_conjunct,[status(thm)],[ax104])).
% 5.43/5.66 thf(c_0_21, plain, (~fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv))))))))|p131), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax131])])).
% 5.43/5.66 thf(c_0_22, plain, ![X5:allegorical_term_b, X3:allegorical_term_b]:((fproduc854192515term_b @ (fproduc1990145943term_b @ X3 @ X5))=(X3)|~p28), inference(split_conjunct,[status(thm)],[c_0_14])).
% 5.43/5.66 thf(c_0_23, plain, p28, inference(split_conjunct,[status(thm)],[ax108])).
% 5.43/5.66 thf(c_0_24, plain, ![X3:allegorical_term_b, X5:allegorical_term_b]:((fproduc1223098053term_b @ (fproduc1990145943term_b @ X3 @ X5))=(X5)|~p31), inference(split_conjunct,[status(thm)],[c_0_15])).
% 5.43/5.66 thf(c_0_25, plain, p31, inference(split_conjunct,[status(thm)],[ax105])).
% 5.43/5.66 thf(c_0_26, plain, ![X3:allegorical_term_b, X5:allegorical_term_b]:(fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X3) @ (ftranslation_b @ (fallegorical_A_Int_b @ X3 @ X5)))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X3) @ (ftranslation_b @ (fallegorical_A_Int_b @ X3 @ X5)))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X3) @ (ftranslation_b @ (fallegorical_A_Int_b @ X3 @ X5))))))|~p1), inference(split_conjunct,[status(thm)],[c_0_16])).
% 5.43/5.66 thf(c_0_27, plain, ![X7:labeled_graph_b_nat, X1:labeled_graph_b_nat]:(fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ X1 @ X7))=(X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 5.43/5.66 thf(c_0_28, plain, ![X1:labeled_graph_b_nat, X7:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X1 @ X7))=(X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 5.43/5.66 thf(c_0_29, plain, p1, inference(split_conjunct,[status(thm)],[ax135])).
% 5.43/5.66 thf(c_0_30, plain, ~p131, inference(fof_simplification,[status(thm)],[ax5])).
% 5.43/5.66 thf(c_0_31, plain, (p131|~fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv))))))))), inference(split_conjunct,[status(thm)],[c_0_21])).
% 5.43/5.66 thf(c_0_32, plain, ![X5:allegorical_term_b, X3:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X3 @ X5))=(X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 5.43/5.66 thf(c_0_33, plain, ![X3:allegorical_term_b, X5:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X3 @ X5))=(X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 5.43/5.66 thf(c_0_34, plain, ![X5:allegorical_term_b, X3:allegorical_term_b]:fgraph_529870330at_nat @ (ftranslation_b @ X3) @ (ftranslation_b @ (fallegorical_A_Int_b @ X3 @ X5)) @ (fid_on_nat @ (flabele460410879_b_nat @ (ftranslation_b @ X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27]), c_0_28]), c_0_27]), c_0_29])])).
% 5.43/5.66 thf(c_0_35, plain, ~p131, inference(split_conjunct,[status(thm)],[c_0_30])).
% 5.43/5.66 thf(c_0_36, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_27]), c_0_32]), c_0_33]), c_0_28]), c_0_32]), c_0_33]), c_0_27]), c_0_34])]), c_0_35]), ['proof']).
% 5.43/5.66 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h3,h1,h0])],[])).
% 5.43/5.66 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h3,h1,h0]),tab_negimp(discharge,[h11,h12])],[h9,1,h11,h12])).
% 5.43/5.66 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h3,h1,h0]),tab_negimp(discharge,[h9,h10])],[h7,2,h9,h10])).
% 5.43/5.66 thf(fact_15_are__rules_I1_J,axiom,(~(((~(((~(((((graph_529870330at_nat @ (produc1542243159_b_nat @ standa879863266rule_b)) @ (produc194497945_b_nat @ standa879863266rule_b)) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ standa879863266rule_b)))) => (~(((produc194497945_b_nat @ standa879863266rule_b) = (restrict_b_nat @ (produc194497945_b_nat @ standa879863266rule_b)))))))) => (~((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ standa879863266rule_b)))))))) => (~((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ standa879863266rule_b))))))))).
% 5.43/5.66 thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h5,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[fact_15_are__rules_I1_J,3,h7,h8])).
% 5.43/5.66 thf(pax32, axiom, (p32=>![X153:labeled_graph_b_nat, X154:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X153 @ X154))=(X154)), file('<stdin>', pax32)).
% 5.43/5.66 thf(pax28, axiom, (p28=>![X160:allegorical_term_b, X161:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X160 @ X161))=(X160)), file('<stdin>', pax28)).
% 5.43/5.66 thf(pax31, axiom, (p31=>![X155:allegorical_term_b, X156:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X155 @ X156))=(X156)), file('<stdin>', pax31)).
% 5.43/5.66 thf(pax1, axiom, (p1=>![X187:allegorical_term_b, X188:allegorical_term_b]:~((~((~((fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X187) @ (ftranslation_b @ (fallegorical_A_Int_b @ X187 @ X188)))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X187) @ (ftranslation_b @ (fallegorical_A_Int_b @ X187 @ X188)))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X187) @ (ftranslation_b @ (fallegorical_A_Int_b @ X187 @ X188))))))=>~((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X187) @ (ftranslation_b @ (fallegorical_A_Int_b @ X187 @ X188))))=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X187) @ (ftranslation_b @ (fallegorical_A_Int_b @ X187 @ X188))))))))=>~(ffinite_finite_nat @ (flabele460410879_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X187) @ (ftranslation_b @ (fallegorical_A_Int_b @ X187 @ X188))))))))=>~(ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X187) @ (ftranslation_b @ (fallegorical_A_Int_b @ X187 @ X188))))))))), file('<stdin>', pax1)).
% 5.43/5.66 thf(ax114, axiom, p32, file('<stdin>', ax114)).
% 5.43/5.66 thf(nax138, axiom, (p138<=(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv))))))=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))), file('<stdin>', nax138)).
% 5.43/5.66 thf(ax118, axiom, p28, file('<stdin>', ax118)).
% 5.43/5.66 thf(ax115, axiom, p31, file('<stdin>', ax115)).
% 5.43/5.66 thf(ax145, axiom, p1, file('<stdin>', ax145)).
% 5.43/5.66 thf(ax15, axiom, ~(p138), file('<stdin>', ax15)).
% 5.43/5.66 thf(c_0_10, plain, ![X663:labeled_graph_b_nat, X664:labeled_graph_b_nat]:(~p32|(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X663 @ X664))=(X664)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax32])])])).
% 5.43/5.66 thf(c_0_11, plain, ![X683:allegorical_term_b, X684:allegorical_term_b]:(~p28|(fproduc854192515term_b @ (fproduc1990145943term_b @ X683 @ X684))=(X683)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax28])])])).
% 5.43/5.66 thf(c_0_12, plain, ![X667:allegorical_term_b, X668:allegorical_term_b]:(~p31|(fproduc1223098053term_b @ (fproduc1990145943term_b @ X667 @ X668))=(X668)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax31])])])).
% 5.43/5.66 thf(c_0_13, plain, ![X739:allegorical_term_b, X740:allegorical_term_b]:((((fgraph_529870330at_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X739) @ (ftranslation_b @ (fallegorical_A_Int_b @ X739 @ X740)))) @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X739) @ (ftranslation_b @ (fallegorical_A_Int_b @ X739 @ X740)))) @ (fid_on_nat @ (flabele460410879_b_nat @ (fproduc1542243159_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X739) @ (ftranslation_b @ (fallegorical_A_Int_b @ X739 @ X740))))))|~p1)&((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X739) @ (ftranslation_b @ (fallegorical_A_Int_b @ X739 @ X740))))=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X739) @ (ftranslation_b @ (fallegorical_A_Int_b @ X739 @ X740)))))|~p1))&(ffinite_finite_nat @ (flabele460410879_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X739) @ (ftranslation_b @ (fallegorical_A_Int_b @ X739 @ X740)))))|~p1))&(ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X739) @ (ftranslation_b @ (fallegorical_A_Int_b @ X739 @ X740)))))|~p1)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1])])])])])).
% 5.43/5.66 thf(c_0_14, plain, ![X1:labeled_graph_b_nat, X3:labeled_graph_b_nat]:((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X1 @ X3))=(X3)|~p32), inference(split_conjunct,[status(thm)],[c_0_10])).
% 5.43/5.66 thf(c_0_15, plain, p32, inference(split_conjunct,[status(thm)],[ax114])).
% 5.43/5.66 thf(c_0_16, plain, ((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv))))))!=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))|p138), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax138])])).
% 5.43/5.66 thf(c_0_17, plain, ![X7:allegorical_term_b, X5:allegorical_term_b]:((fproduc854192515term_b @ (fproduc1990145943term_b @ X5 @ X7))=(X5)|~p28), inference(split_conjunct,[status(thm)],[c_0_11])).
% 5.43/5.66 thf(c_0_18, plain, p28, inference(split_conjunct,[status(thm)],[ax118])).
% 5.43/5.66 thf(c_0_19, plain, ![X5:allegorical_term_b, X7:allegorical_term_b]:((fproduc1223098053term_b @ (fproduc1990145943term_b @ X5 @ X7))=(X7)|~p31), inference(split_conjunct,[status(thm)],[c_0_12])).
% 5.43/5.66 thf(c_0_20, plain, p31, inference(split_conjunct,[status(thm)],[ax115])).
% 5.43/5.66 thf(c_0_21, plain, ![X5:allegorical_term_b, X7:allegorical_term_b]:((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X5) @ (ftranslation_b @ (fallegorical_A_Int_b @ X5 @ X7))))=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ X5) @ (ftranslation_b @ (fallegorical_A_Int_b @ X5 @ X7)))))|~p1), inference(split_conjunct,[status(thm)],[c_0_13])).
% 5.43/5.66 thf(c_0_22, plain, ![X1:labeled_graph_b_nat, X3:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X1 @ X3))=(X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 5.43/5.66 thf(c_0_23, plain, p1, inference(split_conjunct,[status(thm)],[ax145])).
% 5.43/5.66 thf(c_0_24, plain, ~p138, inference(fof_simplification,[status(thm)],[ax15])).
% 5.43/5.66 thf(c_0_25, plain, (p138|(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv))))))!=(frestrict_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))), inference(split_conjunct,[status(thm)],[c_0_16])).
% 5.43/5.66 thf(c_0_26, plain, ![X7:allegorical_term_b, X5:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X5 @ X7))=(X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 5.43/5.66 thf(c_0_27, plain, ![X5:allegorical_term_b, X7:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X5 @ X7))=(X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 5.43/5.66 thf(c_0_28, plain, ![X5:allegorical_term_b, X7:allegorical_term_b]:(frestrict_b_nat @ (ftranslation_b @ (fallegorical_A_Int_b @ X5 @ X7)))=(ftranslation_b @ (fallegorical_A_Int_b @ X5 @ X7)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_22]), c_0_23])])).
% 5.43/5.66 thf(c_0_29, plain, ~p138, inference(split_conjunct,[status(thm)],[c_0_24])).
% 5.43/5.66 thf(c_0_30, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_22]), c_0_28]), c_0_26]), c_0_27]), c_0_22])]), c_0_29]), ['proof']).
% 5.43/5.66 thf(5,plain,$false,inference(eprover,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h6,h3,h1,h0])],[])).
% 5.43/5.66 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h6,h3,h1,h0]),tab_negimp(discharge,[h11,h12])],[h9,5,h11,h12])).
% 5.43/5.66 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h8,h6,h3,h1,h0]),tab_negimp(discharge,[h9,h10])],[h7,6,h9,h10])).
% 5.43/5.66 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h6,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[fact_15_are__rules_I1_J,7,h7,h8])).
% 5.43/5.66 thf(9,plain,$false,inference(tab_imp,[status(thm),assumptions([h3,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,4,8,h5,h6])).
% 5.43/5.66 thf(pax28, axiom, (p28=>![X163:allegorical_term_b, X164:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X163 @ X164))=(X163)), file('<stdin>', pax28)).
% 5.43/5.66 thf(pax31, axiom, (p31=>![X158:allegorical_term_b, X159:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X158 @ X159))=(X159)), file('<stdin>', pax31)).
% 5.43/5.66 thf(pax32, axiom, (p32=>![X156:labeled_graph_b_nat, X157:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X156 @ X157))=(X157)), file('<stdin>', pax32)).
% 5.43/5.66 thf(pax12, axiom, (p12=>![X185:allegorical_term_b]:ffinite_finite_nat @ (flabele460410879_b_nat @ (ftranslation_b @ X185))), file('<stdin>', pax12)).
% 5.43/5.66 thf(nax148, axiom, (p148<=ffinite_finite_nat @ (flabele460410879_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))), file('<stdin>', nax148)).
% 5.43/5.66 thf(ax120, axiom, p28, file('<stdin>', ax120)).
% 5.43/5.66 thf(ax117, axiom, p31, file('<stdin>', ax117)).
% 5.43/5.66 thf(ax116, axiom, p32, file('<stdin>', ax116)).
% 5.43/5.66 thf(ax136, axiom, p12, file('<stdin>', ax136)).
% 5.43/5.66 thf(ax17, axiom, ~(p148), file('<stdin>', ax17)).
% 5.43/5.66 thf(c_0_10, plain, ![X730:allegorical_term_b, X731:allegorical_term_b]:(~p28|(fproduc854192515term_b @ (fproduc1990145943term_b @ X730 @ X731))=(X730)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax28])])])).
% 5.43/5.66 thf(c_0_11, plain, ![X714:allegorical_term_b, X715:allegorical_term_b]:(~p31|(fproduc1223098053term_b @ (fproduc1990145943term_b @ X714 @ X715))=(X715)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax31])])])).
% 5.43/5.66 thf(c_0_12, plain, ![X710:labeled_graph_b_nat, X711:labeled_graph_b_nat]:(~p32|(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X710 @ X711))=(X711)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax32])])])).
% 5.43/5.66 thf(c_0_13, plain, ![X776:allegorical_term_b]:(~p12|ffinite_finite_nat @ (flabele460410879_b_nat @ (ftranslation_b @ X776))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax12])])])).
% 5.43/5.66 thf(c_0_14, plain, (~ffinite_finite_nat @ (flabele460410879_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))|p148), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax148])])).
% 5.43/5.66 thf(c_0_15, plain, ![X8:allegorical_term_b, X1:allegorical_term_b]:((fproduc854192515term_b @ (fproduc1990145943term_b @ X1 @ X8))=(X1)|~p28), inference(split_conjunct,[status(thm)],[c_0_10])).
% 5.43/5.66 thf(c_0_16, plain, p28, inference(split_conjunct,[status(thm)],[ax120])).
% 5.43/5.66 thf(c_0_17, plain, ![X1:allegorical_term_b, X8:allegorical_term_b]:((fproduc1223098053term_b @ (fproduc1990145943term_b @ X1 @ X8))=(X8)|~p31), inference(split_conjunct,[status(thm)],[c_0_11])).
% 5.43/5.66 thf(c_0_18, plain, p31, inference(split_conjunct,[status(thm)],[ax117])).
% 5.43/5.66 thf(c_0_19, plain, ![X4:labeled_graph_b_nat, X6:labeled_graph_b_nat]:((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X4 @ X6))=(X6)|~p32), inference(split_conjunct,[status(thm)],[c_0_12])).
% 5.43/5.66 thf(c_0_20, plain, p32, inference(split_conjunct,[status(thm)],[ax116])).
% 5.43/5.66 thf(c_0_21, plain, ![X1:allegorical_term_b]:(ffinite_finite_nat @ (flabele460410879_b_nat @ (ftranslation_b @ X1))|~p12), inference(split_conjunct,[status(thm)],[c_0_13])).
% 5.43/5.66 thf(c_0_22, plain, p12, inference(split_conjunct,[status(thm)],[ax136])).
% 5.43/5.66 thf(c_0_23, plain, ~p148, inference(fof_simplification,[status(thm)],[ax17])).
% 5.43/5.66 thf(c_0_24, plain, (p148|~ffinite_finite_nat @ (flabele460410879_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 5.43/5.66 thf(c_0_25, plain, ![X8:allegorical_term_b, X1:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X1 @ X8))=(X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 5.43/5.66 thf(c_0_26, plain, ![X1:allegorical_term_b, X8:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X1 @ X8))=(X8), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 5.43/5.66 thf(c_0_27, plain, ![X4:labeled_graph_b_nat, X6:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X4 @ X6))=(X6), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 5.43/5.66 thf(c_0_28, plain, ![X1:allegorical_term_b]:ffinite_finite_nat @ (flabele460410879_b_nat @ (ftranslation_b @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 5.43/5.66 thf(c_0_29, plain, ~p148, inference(split_conjunct,[status(thm)],[c_0_23])).
% 5.43/5.66 thf(c_0_30, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_27]), c_0_28])]), c_0_29]), ['proof']).
% 5.43/5.66 thf(10,plain,$false,inference(eprover,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h4,h1,h0])],[])).
% 5.43/5.66 thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h4,h1,h0]),tab_negimp(discharge,[h11,h12])],[h9,10,h11,h12])).
% 5.43/5.66 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h8,h4,h1,h0]),tab_negimp(discharge,[h9,h10])],[h7,11,h9,h10])).
% 5.43/5.66 thf(13,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h1,h0]),tab_negimp(discharge,[h7,h8])],[fact_15_are__rules_I1_J,12,h7,h8])).
% 5.43/5.66 thf(14,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,9,13,h3,h4])).
% 5.43/5.66 thf(pax28, axiom, (p28=>![X166:allegorical_term_b, X167:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X166 @ X167))=(X166)), file('<stdin>', pax28)).
% 5.43/5.66 thf(pax31, axiom, (p31=>![X161:allegorical_term_b, X162:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X161 @ X162))=(X162)), file('<stdin>', pax31)).
% 5.43/5.66 thf(pax32, axiom, (p32=>![X159:labeled_graph_b_nat, X160:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X159 @ X160))=(X160)), file('<stdin>', pax32)).
% 5.43/5.66 thf(pax5, axiom, (p5=>![X191:allegorical_term_b]:ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (ftranslation_b @ X191))), file('<stdin>', pax5)).
% 5.43/5.66 thf(nax158, axiom, (p158<=ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))), file('<stdin>', nax158)).
% 5.43/5.66 thf(ax129, axiom, p28, file('<stdin>', ax129)).
% 5.43/5.66 thf(ax126, axiom, p31, file('<stdin>', ax126)).
% 5.43/5.66 thf(ax125, axiom, p32, file('<stdin>', ax125)).
% 5.43/5.66 thf(ax152, axiom, p5, file('<stdin>', ax152)).
% 5.43/5.66 thf(ax26, axiom, ~(p158), file('<stdin>', ax26)).
% 5.43/5.66 thf(c_0_10, plain, ![X787:allegorical_term_b, X788:allegorical_term_b]:(~p28|(fproduc854192515term_b @ (fproduc1990145943term_b @ X787 @ X788))=(X787)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax28])])])).
% 5.43/5.66 thf(c_0_11, plain, ![X771:allegorical_term_b, X772:allegorical_term_b]:(~p31|(fproduc1223098053term_b @ (fproduc1990145943term_b @ X771 @ X772))=(X772)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax31])])])).
% 5.43/5.66 thf(c_0_12, plain, ![X767:labeled_graph_b_nat, X768:labeled_graph_b_nat]:(~p32|(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X767 @ X768))=(X768)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax32])])])).
% 5.43/5.66 thf(c_0_13, plain, ![X839:allegorical_term_b]:(~p5|ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (ftranslation_b @ X839))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])])).
% 5.43/5.66 thf(c_0_14, plain, (~ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))|p158), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax158])])).
% 5.43/5.66 thf(c_0_15, plain, ![X11:allegorical_term_b, X4:allegorical_term_b]:((fproduc854192515term_b @ (fproduc1990145943term_b @ X4 @ X11))=(X4)|~p28), inference(split_conjunct,[status(thm)],[c_0_10])).
% 5.43/5.66 thf(c_0_16, plain, p28, inference(split_conjunct,[status(thm)],[ax129])).
% 5.43/5.66 thf(c_0_17, plain, ![X4:allegorical_term_b, X11:allegorical_term_b]:((fproduc1223098053term_b @ (fproduc1990145943term_b @ X4 @ X11))=(X11)|~p31), inference(split_conjunct,[status(thm)],[c_0_11])).
% 5.43/5.66 thf(c_0_18, plain, p31, inference(split_conjunct,[status(thm)],[ax126])).
% 5.43/5.66 thf(c_0_19, plain, ![X1:labeled_graph_b_nat, X7:labeled_graph_b_nat]:((fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X1 @ X7))=(X7)|~p32), inference(split_conjunct,[status(thm)],[c_0_12])).
% 5.43/5.66 thf(c_0_20, plain, p32, inference(split_conjunct,[status(thm)],[ax125])).
% 5.43/5.66 thf(c_0_21, plain, ![X4:allegorical_term_b]:(ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (ftranslation_b @ X4))|~p5), inference(split_conjunct,[status(thm)],[c_0_13])).
% 5.43/5.66 thf(c_0_22, plain, p5, inference(split_conjunct,[status(thm)],[ax152])).
% 5.43/5.66 thf(c_0_23, plain, ~p158, inference(fof_simplification,[status(thm)],[ax26])).
% 5.43/5.66 thf(c_0_24, plain, (p158|~ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (fproduc194497945_b_nat @ (fproduc951298923_b_nat @ (ftranslation_b @ (fproduc854192515term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))) @ (ftranslation_b @ (fproduc1223098053term_b @ (fproduc1990145943term_b @ fu @ (fallegorical_A_Int_b @ fu @ fv)))))))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 5.43/5.66 thf(c_0_25, plain, ![X11:allegorical_term_b, X4:allegorical_term_b]:(fproduc854192515term_b @ (fproduc1990145943term_b @ X4 @ X11))=(X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 5.43/5.66 thf(c_0_26, plain, ![X4:allegorical_term_b, X11:allegorical_term_b]:(fproduc1223098053term_b @ (fproduc1990145943term_b @ X4 @ X11))=(X11), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 5.43/5.66 thf(c_0_27, plain, ![X1:labeled_graph_b_nat, X7:labeled_graph_b_nat]:(fproduc194497945_b_nat @ (fproduc951298923_b_nat @ X1 @ X7))=(X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 5.43/5.66 thf(c_0_28, plain, ![X4:allegorical_term_b]:ffinite1987068434at_nat @ (flabeled_edges_b_nat @ (ftranslation_b @ X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 5.43/5.66 thf(c_0_29, plain, ~p158, inference(split_conjunct,[status(thm)],[c_0_23])).
% 5.43/5.66 thf(c_0_30, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_27]), c_0_28])]), c_0_29]), ['proof']).
% 5.43/5.66 thf(15,plain,$false,inference(eprover,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h2,h0])],[])).
% 5.43/5.66 thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,15,h11,h12])).
% 5.43/5.66 thf(17,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h8,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,16,h9,h10])).
% 5.43/5.66 thf(18,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h0]),tab_negimp(discharge,[h7,h8])],[fact_15_are__rules_I1_J,17,h7,h8])).
% 5.43/5.66 thf(19,plain,$false,inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[h0,14,18,h1,h2])).
% 5.43/5.66 thf(0,theorem,(~(((~(((~(((((graph_529870330at_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))) => (~(((produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))) => (~((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))) => (~((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ ((produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))) @ (translation_b @ (produc1223098053term_b @ ((produc1990145943term_b @ u) @ ((allegorical_A_Int_b @ u) @ v))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[19,h0])).
% 5.43/5.66 % SZS output end Proof
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