%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : ITP021+1 : TPTP v8.1.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n020.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 : Sat Jul 16 22:48:22 EDT 2022 % Result : Theorem 2.03s 0.63s % Output : CNFRefutation 2.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : ITP021+1 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.10/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Fri Jun 3 06:44:23 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.38 # No SInE strategy applied % 0.13/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.13/0.38 # and selection function SelectComplexExceptUniqMaxHorn. % 0.13/0.38 # % 0.13/0.38 # Presaturation interreduction done % 0.13/0.38 # Number of axioms: 99 Number of unprocessed: 68 % 0.13/0.38 # Tableaux proof search. % 0.13/0.38 # APR header successfully linked. % 0.13/0.38 # Hello from C++ % 0.13/0.39 # The folding up rule is enabled... % 0.13/0.39 # Local unification is enabled... % 0.13/0.39 # Any saturation attempts will use folding labels... % 0.13/0.39 # 68 beginning clauses after preprocessing and clausification % 0.13/0.39 # Creating start rules for all 3 conjectures. % 0.13/0.39 # There are 3 start rule candidates: % 0.13/0.39 # Found 13 unit axioms. % 0.13/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.13/0.39 # 3 start rule tableaux created. % 0.13/0.39 # 55 extension rule candidate clauses % 0.13/0.39 # 13 unit axiom clauses % 0.13/0.39 % 0.13/0.39 # Requested 8, 32 cores available to the main process. % 0.13/0.39 # There are not enough tableaux to fork, creating more from the initial 3 % 0.13/0.39 # Returning from population with 35 new_tableaux and 0 remaining starting tableaux. % 0.13/0.39 # We now have 35 tableaux to operate on % 2.03/0.63 # There were 3 total branch saturation attempts. % 2.03/0.63 # There were 0 of these attempts blocked. % 2.03/0.63 # There were 0 deferred branch saturation attempts. % 2.03/0.63 # There were 0 free duplicated saturations. % 2.03/0.63 # There were 3 total successful branch saturations. % 2.03/0.63 # There were 0 successful branch saturations in interreduction. % 2.03/0.63 # There were 0 successful branch saturations on the branch. % 2.03/0.63 # There were 3 successful branch saturations after the branch. % 2.03/0.63 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.03/0.63 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.03/0.63 # Begin clausification derivation % 2.03/0.63 % 2.03/0.63 # End clausification derivation % 2.03/0.63 # Begin listing active clauses obtained from FOF to CNF conversion % 2.03/0.63 cnf(i_0_4, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))). % 2.03/0.63 cnf(i_0_7, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X2)))=s(X1,X2))). % 2.03/0.63 cnf(i_0_84, plain, (s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3)))=s(X1,X2))). % 2.03/0.63 cnf(i_0_83, plain, (s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X2),s(X1,X3)))=s(X1,X3))). % 2.03/0.63 cnf(i_0_100, plain, (s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))=s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))). % 2.03/0.63 cnf(i_0_40, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))=s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))). % 2.03/0.63 cnf(i_0_41, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))=s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))). % 2.03/0.63 cnf(i_0_8, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X1)),combin_k_2E0),s(X1,X3))),s(X2,X4)))=s(X1,X3))). % 2.03/0.63 cnf(i_0_42, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Ebool)),c_2Eextreal_2Eextreal__le_2E0),s(tyop_2Eextreal_2Eextreal,X1))),s(tyop_2Eextreal_2Eextreal,X2)))=s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))). % 2.03/0.63 cnf(i_0_43, plain, (s(tyop_2Eextreal_2Eextreal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Emin_2Efun(tyop_2Eextreal_2Eextreal,tyop_2Eextreal_2Eextreal)),c_2Eextreal_2Eextreal__max_2E0),s(tyop_2Eextreal_2Eextreal,X1))),s(tyop_2Eextreal_2Eextreal,X2)))=s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))). % 2.03/0.63 cnf(i_0_44, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,X1))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4)))=s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))))). % 2.03/0.63 cnf(i_0_9, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1))),combin_s_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4))),s(tyop_2Emin_2Efun(X2,X3),X5))),s(X2,X6)))=s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4),s(X2,X6))),s(X3,app_2E2(s(tyop_2Emin_2Efun(X2,X3),X5),s(X2,X6))))))). % 2.03/0.63 cnf(i_0_5, plain, (~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))). % 2.03/0.63 cnf(i_0_6, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))). % 2.03/0.63 cnf(i_0_76, plain, (s(tyop_2Emin_2Ebool,X1)!=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_281, negated_conjecture, (~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0))))|~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))|~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))))). % 2.03/0.63 cnf(i_0_75, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_17, plain, (~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_299, plain, (epred1_3(X1,X2,X3)|~p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_80, plain, (p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X1)!=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))). % 2.03/0.63 cnf(i_0_280, negated_conjecture, (p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0))))|p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))))). % 2.03/0.63 cnf(i_0_279, negated_conjecture, (p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0))))|p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))))). % 2.03/0.63 cnf(i_0_79, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_122, plain, (p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X2)!=s(tyop_2Emin_2Ebool,X3)|~epred1_3(X1,X2,X3))). % 2.03/0.63 cnf(i_0_131, plain, (epred1_3(X1,X2,X3)|s(tyop_2Emin_2Ebool,X2)!=s(tyop_2Emin_2Ebool,X3)|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_309, plain, (p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X2,X1,X3)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))). % 2.03/0.63 cnf(i_0_310, plain, (p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X1,X2,X3)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))). % 2.03/0.63 cnf(i_0_11, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))))). % 2.03/0.63 cnf(i_0_12, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))))). % 2.03/0.63 cnf(i_0_16, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))|p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_2, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_295, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_304, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_19, plain, (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_33, plain, (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_20, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_3, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_13, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_22, plain, (s(X1,X2)=s(X1,X3)|~p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3)))))). % 2.03/0.63 cnf(i_0_127, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|~epred1_3(X3,X1,X2)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))). % 2.03/0.63 cnf(i_0_14, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_15, plain, (p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))))). % 2.03/0.63 cnf(i_0_18, plain, (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_10, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_311, plain, (p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|p(s(tyop_2Emin_2Ebool,X3))|~epred1_3(X1,X2,X3))). % 2.03/0.63 cnf(i_0_129, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|epred1_3(X3,X1,X2)|p(s(tyop_2Emin_2Ebool,X3)))). % 2.03/0.63 cnf(i_0_125, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X3,X1,X2)|~p(s(tyop_2Emin_2Ebool,X3)))). % 2.03/0.63 cnf(i_0_282, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))). % 2.03/0.63 cnf(i_0_99, plain, (p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))|p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))))). % 2.03/0.63 cnf(i_0_34, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))|p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_98, plain, (p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))|~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X3),s(tyop_2Eextreal_2Eextreal,X2))))|~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3)))))). % 2.03/0.63 cnf(i_0_27, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))))). % 2.03/0.63 cnf(i_0_21, plain, (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))|s(X1,X2)!=s(X1,X3))). % 2.03/0.63 cnf(i_0_23, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X1,X2))))))). % 2.03/0.63 cnf(i_0_28, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))))). % 2.03/0.63 cnf(i_0_35, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_30, plain, (p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))))). % 2.03/0.63 cnf(i_0_25, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))))). % 2.03/0.63 cnf(i_0_24, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))). % 2.03/0.63 cnf(i_0_38, plain, (s(X1,X2)=s(X1,X3)|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))))). % 2.03/0.63 cnf(i_0_26, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X1,X2)))))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))). % 2.03/0.63 cnf(i_0_1, plain, (s(tyop_2Emin_2Efun(X1,X2),X3)=s(tyop_2Emin_2Efun(X1,X2),X4)|s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,esk1_4(X1,X2,X3,X4))))!=s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,esk1_4(X1,X2,X3,X4)))))). % 2.03/0.63 cnf(i_0_37, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_31, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_32, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_36, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))). % 2.03/0.63 cnf(i_0_29, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X1)))). % 2.03/0.63 cnf(i_0_39, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))|s(X1,X2)!=s(X1,X3))). % 2.03/0.63 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 2.03/0.63 # Begin printing tableau % 2.03/0.63 # Found 7 steps % 2.03/0.63 cnf(i_0_281, negated_conjecture, (~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0))))|~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))|~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))), inference(start_rule)). % 2.03/0.63 cnf(i_0_316, plain, (~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0))))), inference(extension_rule, [i_0_75])). % 2.03/0.63 cnf(i_0_461, plain, (s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)))=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)), inference(extension_rule, [i_0_122])). % 2.03/0.63 cnf(i_0_476, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))), inference(closure_rule, [i_0_5])). % 2.03/0.63 cnf(i_0_317, plain, (~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))), inference(etableau_closure_rule, [i_0_317, ...])). % 2.03/0.63 cnf(i_0_318, plain, (~p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))), inference(etableau_closure_rule, [i_0_318, ...])). % 2.03/0.63 cnf(i_0_478, plain, (~epred1_3(c_2Ebool_2EF_2E0,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)),c_2Ebool_2EF_2E0)), inference(etableau_closure_rule, [i_0_478, ...])). % 2.03/0.63 # End printing tableau % 2.03/0.63 # SZS output end % 2.03/0.63 # Branches closed with saturation will be marked with an "s" % 2.03/0.63 # Child (5092) has found a proof. % 2.03/0.63 % 2.03/0.63 # Proof search is over... % 2.03/0.63 # Freeing feature tree %------------------------------------------------------------------------------