0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n020.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 : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 04:47:04 EDT 2025 0.12/0.34 % CPUTime : 0.19/0.48 Running higher-order theorem proving 0.36/0.56 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p 0.36/0.61 # Version: 3.0.0-ho 0.36/0.61 # Preprocessing class: HSLMSMSMSSMNHFA. 0.36/0.61 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.36/0.61 # Starting full_lambda_6 with 960s (4) cores 0.36/0.61 # Starting additional_ho_6 with 240s (1) cores 0.36/0.61 # Starting new_ho_9 with 240s (1) cores 0.36/0.61 # Starting full_lambda_3 with 240s (1) cores 0.36/0.61 # Starting post_as_ho6 with 240s (1) cores 0.36/0.61 # full_lambda_3 with pid 18972 completed with status 0 0.36/0.61 # Result found by full_lambda_3 0.36/0.61 # Preprocessing class: HSLMSMSMSSMNHFA. 0.36/0.61 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.36/0.61 # Starting full_lambda_6 with 960s (4) cores 0.36/0.61 # Starting additional_ho_6 with 240s (1) cores 0.36/0.61 # Starting new_ho_9 with 240s (1) cores 0.36/0.61 # Starting full_lambda_3 with 240s (1) cores 0.36/0.61 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.36/0.61 # Search class: HHHSM-FFMS21-DHFFFSBN 0.36/0.61 # partial match(5): HGHSM-FFMS31-SHFSMSBN 0.36/0.61 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.36/0.61 # Starting new_ho_10 with 130s (1) cores 0.36/0.61 # new_ho_10 with pid 18974 completed with status 0 0.36/0.61 # Result found by new_ho_10 0.36/0.61 # Preprocessing class: HSLMSMSMSSMNHFA. 0.36/0.61 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 0.36/0.61 # Starting full_lambda_6 with 960s (4) cores 0.36/0.61 # Starting additional_ho_6 with 240s (1) cores 0.36/0.61 # Starting new_ho_9 with 240s (1) cores 0.36/0.61 # Starting full_lambda_3 with 240s (1) cores 0.36/0.61 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0) 0.36/0.61 # Search class: HHHSM-FFMS21-DHFFFSBN 0.36/0.61 # partial match(5): HGHSM-FFMS31-SHFSMSBN 0.36/0.61 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.36/0.61 # Starting new_ho_10 with 130s (1) cores 0.36/0.61 # Preprocessing time : 0.005 s 0.36/0.61 # Presaturation interreduction done 0.36/0.61 0.36/0.61 # Proof found! 0.36/0.61 # SZS status Theorem 0.36/0.61 # SZS output start CNFRefutation 0.36/0.61 thf(decl_sort1, type, set_nat: $tType). 0.36/0.61 thf(decl_sort2, type, set_Pr1986765409at_nat: $tType). 0.36/0.61 thf(decl_sort3, type, set_Pr9961929at_nat: $tType). 0.36/0.61 thf(decl_sort4, type, allegorical_term_b: $tType). 0.36/0.61 thf(decl_sort5, type, labeled_graph_b_nat: $tType). 0.36/0.61 thf(decl_sort6, type, produc1478835367term_b: $tType). 0.36/0.61 thf(decl_sort7, type, produc1235635379_b_nat: $tType). 0.36/0.61 thf(decl_23, type, finite_finite_nat: set_nat > $o). 0.36/0.61 thf(decl_27, type, finite1987068434at_nat: set_Pr9961929at_nat > $o). 0.36/0.61 thf(decl_32, type, allegorical_A_Int_b: allegorical_term_b > allegorical_term_b > allegorical_term_b). 0.36/0.61 thf(decl_36, type, graph_529870330at_nat: labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o). 0.36/0.61 thf(decl_41, type, labeled_edges_b_nat: labeled_graph_b_nat > set_Pr9961929at_nat). 0.36/0.61 thf(decl_44, type, labele460410879_b_nat: labeled_graph_b_nat > set_nat). 0.36/0.61 thf(decl_47, type, restrict_b_nat: labeled_graph_b_nat > labeled_graph_b_nat). 0.36/0.61 thf(decl_67, type, produc1990145943term_b: allegorical_term_b > allegorical_term_b > produc1478835367term_b). 0.36/0.61 thf(decl_70, type, produc951298923_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat). 0.36/0.61 thf(decl_77, type, produc854192515term_b: produc1478835367term_b > allegorical_term_b). 0.36/0.61 thf(decl_80, type, produc1542243159_b_nat: produc1235635379_b_nat > labeled_graph_b_nat). 0.36/0.61 thf(decl_83, type, produc1223098053term_b: produc1478835367term_b > allegorical_term_b). 0.36/0.61 thf(decl_86, type, produc194497945_b_nat: produc1235635379_b_nat > labeled_graph_b_nat). 0.36/0.61 thf(decl_97, type, id_on_nat: set_nat > set_Pr1986765409at_nat). 0.36/0.61 thf(decl_119, type, translation_b: allegorical_term_b > labeled_graph_b_nat). 0.36/0.61 thf(decl_164, type, u: allegorical_term_b). 0.36/0.61 thf(decl_165, type, v: allegorical_term_b). 0.36/0.61 thf(conj_0, conjecture, (((((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)))))))))&(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)))))))))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', conj_0)). 0.36/0.61 thf(fact_76_fst__conv, axiom, ![X251:allegorical_term_b, X252:allegorical_term_b]:(((produc854192515term_b @ (produc1990145943term_b @ X251 @ X252))=(X251))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', fact_76_fst__conv)). 0.36/0.61 thf(fact_86_snd__conv, axiom, ![X24:labeled_graph_b_nat, X25:labeled_graph_b_nat]:(((produc194497945_b_nat @ (produc951298923_b_nat @ X24 @ X25))=(X25))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', fact_86_snd__conv)). 0.36/0.61 thf(fact_20_verts__in__translation__finite_I1_J, axiom, ![X710:allegorical_term_b]:((finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ X710)))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', fact_20_verts__in__translation__finite_I1_J)). 0.36/0.61 thf(fact_12_verts__in__translation__finite_I2_J, axiom, ![X507:allegorical_term_b]:((finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ X507)))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', fact_12_verts__in__translation__finite_I2_J)). 0.36/0.61 thf(fact_75_fst__conv, axiom, ![X24:labeled_graph_b_nat, X25:labeled_graph_b_nat]:(((produc1542243159_b_nat @ (produc951298923_b_nat @ X24 @ X25))=(X24))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', fact_75_fst__conv)). 0.36/0.61 thf(fact_85_snd__conv, axiom, ![X93:allegorical_term_b, X94:allegorical_term_b]:(((produc1223098053term_b @ (produc1990145943term_b @ X93 @ X94))=(X94))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', fact_85_snd__conv)). 0.36/0.61 thf(fact_3_graph__rule__translation, axiom, ![X125:allegorical_term_b, X126:allegorical_term_b]:(((((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X125) @ (translation_b @ (allegorical_A_Int_b @ X125 @ X126))))))&(finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X125) @ (translation_b @ (allegorical_A_Int_b @ X125 @ X126)))))))&((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X125) @ (translation_b @ (allegorical_A_Int_b @ X125 @ X126))))=(restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X125) @ (translation_b @ (allegorical_A_Int_b @ X125 @ X126)))))))&(graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X125) @ (translation_b @ (allegorical_A_Int_b @ X125 @ X126)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X125) @ (translation_b @ (allegorical_A_Int_b @ X125 @ X126)))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X125) @ (translation_b @ (allegorical_A_Int_b @ X125 @ X126))))))))), file('/export/starexec/sandbox2/tmp/tmp.HEzoeZ2FK9/E---3.1_18891.p', fact_3_graph__rule__translation)). 0.36/0.61 thf(c_0_8, negated_conjecture, ~((((((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)))))))))&(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))))))))))), inference(assume_negation,[status(cth)],[conj_0])). 0.36/0.61 thf(c_0_9, negated_conjecture, (((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))))))))|~(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)))))))))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])). 0.36/0.61 thf(c_0_10, plain, ![X1132:allegorical_term_b, X1133:allegorical_term_b]:(((produc854192515term_b @ (produc1990145943term_b @ X1132 @ X1133))=(X1132))), inference(variable_rename,[status(thm)],[fact_76_fst__conv])). 0.36/0.61 thf(c_0_11, plain, ![X1140:labeled_graph_b_nat, X1141:labeled_graph_b_nat]:(((produc194497945_b_nat @ (produc951298923_b_nat @ X1140 @ X1141))=(X1141))), inference(variable_rename,[status(thm)],[fact_86_snd__conv])). 0.36/0.61 thf(c_0_12, plain, ![X1059:allegorical_term_b]:((finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ X1059)))), inference(variable_rename,[status(thm)],[fact_20_verts__in__translation__finite_I1_J])). 0.36/0.61 thf(c_0_13, plain, ![X1058:allegorical_term_b]:((finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ X1058)))), inference(variable_rename,[status(thm)],[fact_12_verts__in__translation__finite_I2_J])). 0.36/0.61 thf(c_0_14, plain, ![X994:labeled_graph_b_nat, X995:labeled_graph_b_nat]:(((produc1542243159_b_nat @ (produc951298923_b_nat @ X994 @ X995))=(X994))), inference(variable_rename,[status(thm)],[fact_75_fst__conv])). 0.36/0.61 thf(c_0_15, negated_conjecture, (((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)))))))))|~((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))))))))))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.36/0.61 thf(c_0_16, plain, ![X7:allegorical_term_b, X6:allegorical_term_b]:(((produc854192515term_b @ (produc1990145943term_b @ X6 @ X7))=(X6))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.36/0.61 thf(c_0_17, plain, ![X5:labeled_graph_b_nat, X24:labeled_graph_b_nat]:(((produc194497945_b_nat @ (produc951298923_b_nat @ X5 @ X24))=(X24))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.36/0.61 thf(c_0_18, plain, ![X6:allegorical_term_b]:((finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ X6)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.36/0.61 thf(c_0_19, plain, ![X6:allegorical_term_b]:((finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ X6)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.36/0.61 thf(c_0_20, plain, ![X24:labeled_graph_b_nat, X5:labeled_graph_b_nat]:(((produc1542243159_b_nat @ (produc951298923_b_nat @ X5 @ X24))=(X5))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.36/0.61 thf(c_0_21, plain, ![X1072:allegorical_term_b, X1073:allegorical_term_b]:(((produc1223098053term_b @ (produc1990145943term_b @ X1072 @ X1073))=(X1073))), inference(variable_rename,[status(thm)],[fact_85_snd__conv])). 0.36/0.61 thf(c_0_22, plain, ![X1056:allegorical_term_b, X1057:allegorical_term_b]:(((((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1056) @ (translation_b @ (allegorical_A_Int_b @ X1056 @ X1057))))))&(finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1056) @ (translation_b @ (allegorical_A_Int_b @ X1056 @ X1057)))))))&((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1056) @ (translation_b @ (allegorical_A_Int_b @ X1056 @ X1057))))=(restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1056) @ (translation_b @ (allegorical_A_Int_b @ X1056 @ X1057)))))))&(graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1056) @ (translation_b @ (allegorical_A_Int_b @ X1056 @ X1057)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1056) @ (translation_b @ (allegorical_A_Int_b @ X1056 @ X1057)))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1056) @ (translation_b @ (allegorical_A_Int_b @ X1056 @ X1057))))))))), inference(variable_rename,[status(thm)],[fact_3_graph__rule__translation])). 0.36/0.61 thf(c_0_23, negated_conjecture, (((restrict_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))!=(translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))|~((graph_529870330at_nat @ (translation_b @ u) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ u)))))), 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)],[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_15, c_0_16]), c_0_17]), c_0_16]), c_0_17]), c_0_16]), c_0_17]), c_0_18]), c_0_16]), c_0_17]), c_0_19]), c_0_16]), c_0_20]), c_0_16]), c_0_17]), c_0_16]), c_0_20])])). 0.36/0.61 thf(c_0_24, plain, ![X6:allegorical_term_b, X7:allegorical_term_b]:(((produc1223098053term_b @ (produc1990145943term_b @ X6 @ X7))=(X7))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.36/0.61 thf(c_0_25, plain, ![X6:allegorical_term_b, X7:allegorical_term_b]:(((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X6) @ (translation_b @ (allegorical_A_Int_b @ X6 @ X7))))=(restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X6) @ (translation_b @ (allegorical_A_Int_b @ X6 @ X7))))))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.36/0.61 thf(c_0_26, negated_conjecture, (((restrict_b_nat @ (translation_b @ (allegorical_A_Int_b @ u @ v)))!=(translation_b @ (allegorical_A_Int_b @ u @ v)))|~((graph_529870330at_nat @ (translation_b @ u) @ (translation_b @ (allegorical_A_Int_b @ u @ v)) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ u)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24]), c_0_24]), c_0_24])). 0.36/0.61 thf(c_0_27, plain, ![X6:allegorical_term_b, X7:allegorical_term_b]:(((restrict_b_nat @ (translation_b @ (allegorical_A_Int_b @ X6 @ X7)))=(translation_b @ (allegorical_A_Int_b @ X6 @ X7)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_17]), c_0_17])). 0.36/0.61 thf(c_0_28, plain, ![X6:allegorical_term_b, X7:allegorical_term_b]:((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X6) @ (translation_b @ (allegorical_A_Int_b @ X6 @ X7)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X6) @ (translation_b @ (allegorical_A_Int_b @ X6 @ X7)))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X6) @ (translation_b @ (allegorical_A_Int_b @ X6 @ X7)))))))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.36/0.61 thf(c_0_29, negated_conjecture, ~((graph_529870330at_nat @ (translation_b @ u) @ (translation_b @ (allegorical_A_Int_b @ u @ v)) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ u))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])). 0.36/0.61 thf(c_0_30, plain, ![X7:allegorical_term_b, X6:allegorical_term_b]:((graph_529870330at_nat @ (translation_b @ X6) @ (translation_b @ (allegorical_A_Int_b @ X6 @ X7)) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ X6))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_20]), c_0_17]), c_0_20])). 0.36/0.61 thf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])]), ['proof']). 0.36/0.61 # SZS output end CNFRefutation 0.36/0.61 # Parsed axioms : 541 0.36/0.61 # Removed by relevancy pruning/SinE : 477 0.36/0.61 # Initial clauses : 87 0.36/0.61 # Removed in clause preprocessing : 5 0.36/0.61 # Initial clauses in saturation : 82 0.36/0.61 # Processed clauses : 88 0.36/0.61 # ...of these trivial : 16 0.36/0.61 # ...subsumed : 11 0.36/0.61 # ...remaining for further processing : 61 0.36/0.61 # Other redundant clauses eliminated : 14 0.36/0.61 # Clauses deleted for lack of memory : 0 0.36/0.61 # Backward-subsumed : 0 0.36/0.61 # Backward-rewritten : 3 0.36/0.61 # Generated clauses : 14 0.36/0.61 # ...of the previous two non-redundant : 6 0.36/0.61 # ...aggressively subsumed : 0 0.36/0.61 # Contextual simplify-reflections : 0 0.36/0.61 # Paramodulations : 0 0.36/0.61 # Factorizations : 0 0.36/0.61 # NegExts : 0 0.36/0.61 # Equation resolutions : 14 0.36/0.61 # Disequality decompositions : 0 0.36/0.61 # Total rewrite steps : 58 0.36/0.61 # ...of those cached : 36 0.36/0.61 # Propositional unsat checks : 0 0.36/0.61 # Propositional check models : 0 0.36/0.61 # Propositional check unsatisfiable : 0 0.36/0.61 # Propositional clauses : 0 0.36/0.61 # Propositional clauses after purity: 0 0.36/0.61 # Propositional unsat core size : 0 0.36/0.61 # Propositional preprocessing time : 0.000 0.36/0.61 # Propositional encoding time : 0.000 0.36/0.61 # Propositional solver time : 0.000 0.36/0.61 # Success case prop preproc time : 0.000 0.36/0.61 # Success case prop encoding time : 0.000 0.36/0.61 # Success case prop solver time : 0.000 0.36/0.61 # Current number of processed clauses : 44 0.36/0.61 # Positive orientable unit clauses : 24 0.36/0.61 # Positive unorientable unit clauses: 0 0.36/0.61 # Negative unit clauses : 0 0.36/0.61 # Non-unit-clauses : 20 0.36/0.61 # Current number of unprocessed clauses: 0 0.36/0.61 # ...number of literals in the above : 0 0.36/0.61 # Current number of archived formulas : 0 0.36/0.61 # Current number of archived clauses : 3 0.36/0.61 # Clause-clause subsumption calls (NU) : 60 0.36/0.61 # Rec. Clause-clause subsumption calls : 48 0.36/0.61 # Non-unit clause-clause subsumptions : 15 0.36/0.61 # Unit Clause-clause subsumption calls : 2 0.36/0.61 # Rewrite failures with RHS unbound : 0 0.36/0.61 # BW rewrite match attempts : 3 0.36/0.61 # BW rewrite match successes : 3 0.36/0.61 # Condensation attempts : 88 0.36/0.61 # Condensation successes : 4 0.36/0.61 # Termbank termtop insertions : 12970 0.36/0.61 # Search garbage collected termcells : 5361 0.36/0.61 0.36/0.61 # ------------------------------------------------- 0.36/0.61 # User time : 0.014 s 0.36/0.61 # System time : 0.006 s 0.36/0.61 # Total time : 0.020 s 0.36/0.61 # Maximum resident set size: 3576 pages 0.36/0.61 0.36/0.61 # ------------------------------------------------- 0.36/0.61 # User time : 0.033 s 0.36/0.61 # System time : 0.010 s 0.36/0.61 # Total time : 0.043 s 0.36/0.61 # Maximum resident set size: 2932 pages 0.36/0.61 % E exiting 0.36/0.61 % E exiting 0.36/0.61 EOF