%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : ITP023+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 : n024.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 22:48:25 EDT 2022 % Result : Theorem 0.21s 0.40s % Output : CNFRefutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : ITP023+1 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.04/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.35 % Computer : n024.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Thu Jun 2 13:07:21 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.39 # No SInE strategy applied % 0.21/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.21/0.39 # and selection function SelectComplexExceptUniqMaxHorn. % 0.21/0.39 # % 0.21/0.39 # Presaturation interreduction done % 0.21/0.39 # Number of axioms: 97 Number of unprocessed: 68 % 0.21/0.39 # Tableaux proof search. % 0.21/0.39 # APR header successfully linked. % 0.21/0.39 # Hello from C++ % 0.21/0.40 # The folding up rule is enabled... % 0.21/0.40 # Local unification is enabled... % 0.21/0.40 # Any saturation attempts will use folding labels... % 0.21/0.40 # 68 beginning clauses after preprocessing and clausification % 0.21/0.40 # Creating start rules for all 1 conjectures. % 0.21/0.40 # There are 1 start rule candidates: % 0.21/0.40 # Found 15 unit axioms. % 0.21/0.40 # 1 start rule tableaux created. % 0.21/0.40 # 53 extension rule candidate clauses % 0.21/0.40 # 15 unit axiom clauses % 0.21/0.40 % 0.21/0.40 # Requested 8, 32 cores available to the main process. % 0.21/0.40 # There are not enough tableaux to fork, creating more from the initial 1 % 0.21/0.40 # Closed tableau found in foldup close cycle with 0 folds and 2 closures done. % 0.21/0.40 # There were 0 total branch saturation attempts. % 0.21/0.40 # There were 0 of these attempts blocked. % 0.21/0.40 # There were 0 deferred branch saturation attempts. % 0.21/0.40 # There were 0 free duplicated saturations. % 0.21/0.40 # There were 0 total successful branch saturations. % 0.21/0.40 # There were 0 successful branch saturations in interreduction. % 0.21/0.40 # There were 0 successful branch saturations on the branch. % 0.21/0.40 # There were 0 successful branch saturations after the branch. % 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.40 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.40 # Begin clausification derivation % 0.21/0.40 % 0.21/0.40 # End clausification derivation % 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.40 cnf(i_0_4, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))). % 0.21/0.40 cnf(i_0_99, plain, (p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X1),s(tyop_2Erealax_2Ereal,X2)))))))))). % 0.21/0.40 cnf(i_0_42, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ereal__topology_2Ebounded__def_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1)))=s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1))))). % 0.21/0.40 cnf(i_0_44, plain, (s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Eball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1))))). % 0.21/0.40 cnf(i_0_7, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X2)))=s(X1,X2))). % 0.21/0.40 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))))). % 0.21/0.40 cnf(i_0_45, plain, (s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal__topology_2Ecball_2E0),s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1)))=s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X1))))). % 0.21/0.40 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))))). % 0.21/0.40 cnf(i_0_97, plain, (p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X1),s(tyop_2Erealax_2Ereal,X2))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X1),s(tyop_2Erealax_2Ereal,X2)))))))))). % 0.21/0.40 cnf(i_0_43, plain, (s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal))),c_2Epair_2E_2C_2E0),s(tyop_2Erealax_2Ereal,X1))),s(tyop_2Erealax_2Ereal,X2)))=s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X1),s(tyop_2Erealax_2Ereal,X2))))). % 0.21/0.40 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))). % 0.21/0.40 cnf(i_0_46, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epred__set_2ESUBSET_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X2)))=s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X2))))). % 0.21/0.40 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))))))). % 0.21/0.40 cnf(i_0_5, plain, (~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))). % 0.21/0.40 cnf(i_0_278, negated_conjecture, (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,esk6_0),s(tyop_2Erealax_2Ereal,esk7_0)))))))))). % 0.21/0.40 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))). % 0.21/0.40 cnf(i_0_75, plain, (s(tyop_2Emin_2Ebool,X1)!=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|~p(s(tyop_2Emin_2Ebool,X1)))). % 0.21/0.40 cnf(i_0_74, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|p(s(tyop_2Emin_2Ebool,X1)))). % 0.21/0.40 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)))). % 0.21/0.40 cnf(i_0_296, plain, (epred1_3(X1,X2,X3)|~p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,X2)))). % 0.21/0.40 cnf(i_0_79, plain, (p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X1)!=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))). % 0.21/0.40 cnf(i_0_78, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|~p(s(tyop_2Emin_2Ebool,X1)))). % 0.21/0.40 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)))). % 0.21/0.40 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)))). % 0.21/0.40 cnf(i_0_121, plain, (p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X2)!=s(tyop_2Emin_2Ebool,X3)|~epred1_3(X1,X2,X3))). % 0.21/0.40 cnf(i_0_130, plain, (epred1_3(X1,X2,X3)|s(tyop_2Emin_2Ebool,X2)!=s(tyop_2Emin_2Ebool,X3)|~p(s(tyop_2Emin_2Ebool,X1)))). % 0.21/0.40 cnf(i_0_306, plain, (p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X2,X1,X3)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))). % 0.21/0.40 cnf(i_0_307, plain, (p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X1,X2,X3)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))). % 0.21/0.40 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)))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))). % 0.21/0.40 cnf(i_0_292, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,X2)))). % 0.21/0.40 cnf(i_0_301, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,X1)))). % 0.21/0.40 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)))). % 0.21/0.40 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)))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))). % 0.21/0.40 cnf(i_0_128, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|epred1_3(X3,X1,X2)|p(s(tyop_2Emin_2Ebool,X3)))). % 0.21/0.40 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)))). % 0.21/0.40 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)))))). % 0.21/0.40 cnf(i_0_126, 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)))). % 0.21/0.40 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)))). % 0.21/0.40 cnf(i_0_98, plain, (p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1))))|~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X2))))|~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X2)))))). % 0.21/0.40 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)))). % 0.21/0.40 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)))). % 0.21/0.40 cnf(i_0_308, plain, (p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|p(s(tyop_2Emin_2Ebool,X3))|~epred1_3(X1,X2,X3))). % 0.21/0.40 cnf(i_0_124, 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)))). % 0.21/0.40 cnf(i_0_279, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))))). % 0.21/0.40 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))). % 0.21/0.40 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))))))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))). % 0.21/0.40 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)))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))))). % 0.21/0.40 cnf(i_0_83, 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,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk4_2(X1,X2))))))). % 0.21/0.40 cnf(i_0_82, 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,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk5_2(X1,X2))))))). % 0.21/0.40 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)))))). % 0.21/0.40 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)))). % 0.21/0.40 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)))). % 0.21/0.40 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)))). % 0.21/0.40 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))). % 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.40 # Begin printing tableau % 0.21/0.40 # Found 4 steps % 0.21/0.40 cnf(i_0_278, negated_conjecture, (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,esk6_0),s(tyop_2Erealax_2Ereal,esk7_0))))))))), inference(start_rule)). % 0.21/0.40 cnf(i_0_309, plain, (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,esk6_0),s(tyop_2Erealax_2Ereal,esk7_0))))))))), inference(extension_rule, [i_0_98])). % 0.21/0.40 cnf(i_0_383, plain, (~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2ESUBSET_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Eball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,esk6_0),s(tyop_2Erealax_2Ereal,esk7_0))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,esk6_0),s(tyop_2Erealax_2Ereal,esk7_0))))))))), inference(closure_rule, [i_0_97])). % 0.21/0.40 cnf(i_0_384, plain, (~p(s(tyop_2Emin_2Ebool,c_2Ereal__topology_2Ebounded__def_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Ereal__topology_2Ecball_2E1(s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,esk6_0),s(tyop_2Erealax_2Ereal,esk7_0))))))))), inference(closure_rule, [i_0_99])). % 0.21/0.40 # End printing tableau % 0.21/0.40 # SZS output end % 0.21/0.40 # Branches closed with saturation will be marked with an "s" % 0.21/0.40 # Returning from population with 18 new_tableaux and 0 remaining starting tableaux. % 0.21/0.40 # We now have 18 tableaux to operate on % 0.21/0.40 # Found closed tableau during pool population. % 0.21/0.40 # Proof search is over... % 0.21/0.40 # Freeing feature tree %------------------------------------------------------------------------------